The value of y0 for which the solution of the initial value problem y' − y = 1 + 3 sin t, y(0) = y0 is:
y(0) = 3√2 - 1 = 3.24
Now, According t o the question:
A linear equation or polynomial, with one or more terms, consisting of the derivatives of the dependent variable with respect to one or more independent variables is known as a linear differential equation.
The general solution y of this equation is y = y0 + y1
where y0 = A[tex]e^t[/tex] is the solution for the equation y' - y = 0 (homogeneous equation), an
y1 = (3/2)(sint + cost) - 1 = 3√2 sin(t + (π/4)) - 1 -
particular solution of the inhomogeneous equation. Thus, we have
y(t) =A[tex]e^t[/tex] + 3√2 sin (t + (π/4)) - 1
To have the function y(t) finite for t → ∞ ,
We have to put A = 0. Then, it follows
y(0) = 3√2 - 1 = 3.24
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harley was tested 10 times and 9 of those times he choose the correct cup. what are the observational units?
In the experiment, the subject whose behavior is being assessed are observational units. The observational unit in this instance is Harley (Dog).
We will first investigate if canines can comprehend both non-human and human gestures in this investigation. The dogs were placed around 2.5 meters apart from the experimenter so that the researchers could test this. Two glasses were placed one on either side of the experimenter.
A gesture would be made at one of the cups by either the experimenter (pointing, bowing, or staring) or by a non-human object (a mechanical arm pointing, a doll pointing, or a stuffed animal looking). After then, the scientists would observe whether the dog would approach the cup that was pointed out. Six dogs were put to the test. We'll focus on one of the dogs who participated in both of his trial sets.
The four-year-old mixed breed dog was given the name Harley. Each of the ten trials in a set consisted of one gesture and one pair of cups. In order to see if Harley would approach a particular cup, the experimenter bowed toward it during one round of experiments.
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what is the equation asking you do? what is your plan to solve?
These questions are going to help while you are doing a problem! so use them often!
This statement is TRUE. When we are doing a problem, we could use these questions " what is the equation asking you do? what is your plan to solve?" as the part of starting solving the problem in math about equation matter.
About equationIn mathematics, an equation is an equation statement that contains one or more variables. Solving equations consists of determining which variable values makes an equality true. The variable is also called "unknown" and the value of an "unknown" that satisfies the equation is called the equation solution. There are two types of equations: identity and conditional equations. True identity for all variable values. The conditional equation is true only for certain variable values.
An equation is a mathematical statement in the form of a symbol which states that two things are exactly the same. Equations are written with an equal sign (=), as follows:
x + 3 = 5, which states that value x = 2.
2x + 3 = 5, which states that the value x = 1.
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Ms. Lynette earns $19.50
an hour when she works overtime. She worked overtime twice this week. One day she worked 3
hours of overtime. Her total overtime pay for the week is $146.25
.
The equation to find the number of overtime hours worked on the second day is 19.5x = 87.75.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Earning of Lynette for one hour when she works overtime = $19.50
She worked overtime twice this week.
One day she worked 3 hours of overtime.
Earning on first day = 3 × $19.50 = $58.50
Total earnings for overtime = $146.25
Earnings on second day = $146.25 - $58.50 = $87.75
Let x be the number of hours worked overtime.
19.5x = 87.75
x = 4.5
Hence the required equation is 19.5x = 87.75.
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Examine thi table of point, which are all on a certain line. X
y
−5
0
−1
−8
1
−12
4
−18
For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
Given that,
x y
-5 0
-1 -8
1 -12
4 -18
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Then,
Points are, ( - 5,0 ) , ( -1,-8), (1,-12) , (4,-18)
Points are, ( - 5,0 ) , ( -1,-8)
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m = [tex]\frac{-8-0}{-1-(-5)}[/tex]
m = [tex]\frac{-8}{-1+5}[/tex]
m = [tex]\frac{-8}{4}[/tex]
m = -2
Points are, ( -1,-8 ) , ( 1,-12),
m = [tex]\frac{-12-(-8)}{1-(-1)}[/tex]
m = [tex]\frac{-12+8}{1+1}[/tex]
m = [tex]\frac{-4}{2}[/tex]
m = -2
Points are, ( 1,-12 ) , ( 4,-18),
m = [tex]\frac{-18-(-12)}{4-1}[/tex]
m = [tex]\frac{-18+12}{3}[/tex]
m = -6/3
m = -2
Then, m = -2
Therefore,
For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
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For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
Given that,
x y
-5 0
-1 -8
1 -12
4 -18
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
Then,
Points are, ( - 5,0 ) , ( -1,-8), (1,-12) , (4,-18)
Points are, ( - 5,0 ) , ( -1,-8)
Slope
m = -2
Points are, ( -1,-8 ) , ( 1,-12),
m = -2
Points are, ( 1,-12 ) , ( 4,-18),
m = -6/3
m = -2
Therefore,
For all the points slope is constant. Hence they all lie on a certain line, then the m = -2.
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How many distinct paths are there from(−1,2,0) to (1,3,7) in Euclidean three-space if each move is one of the following types?
(H):(x,y,z)→(x+1,y,z)
(V):(x,y,z)→(x,y+1,z)
(A):(x,y,z)→(x,y,z+1)
There are 214 distinct paths from (-1,2,0) to (1,3,7) in Euclidean three-space.
We can approach this problem using a combinatorial approach.
Let's say that there are a total of n moves from the starting point (-1,2,0) to the ending point (1,3,7). Then, the number of H moves is nh, the number of V moves is nv, and the number of A moves is na, where nh + nv + na = n.
The starting point (-1,2,0) is (1,1,7) moves away from the ending point in the x, y, and z directions, respectively. Therefore, we have the following constraints:
nh ≥ 1 (to move from x = -1 to x = 1)
nv ≥ 1 (to move from y = 2 to y = 3)
na ≥ 7 (to move from z = 0 to z = 7)
The number of distinct paths from (-1,2,0) to (1,3,7) is simply the number of ways to choose nh, nv, and na moves from n total moves such that the constraints are satisfied. This is equivalent to finding the number of solutions to the equation nh + nv + na = n subject to the constraints.
Using the stars and bars technique, the number of solutions can be calculated as:
C(n - 1, 2) = C(n - 1, n - 3) = C(n - 1, na - 1)
where C(n, k) is the binomial coefficient representing the number of ways to choose k items from a set of n items.
Since na ≥ 7, we can start by setting na = 7 and then increasing it by one to see if there are additional solutions. For na = 7, n = 7 + nh + nv. Therefore, n >= 8 and n <= 14. The number of solutions for each value of n can be calculated using the formula above, and the total number of solutions can be obtained by summing up the results for each value of n.
For example, when n = 8, there are C(7, 2) = 21 solutions, when n = 9, there are C(8, 2) = 28 solutions, and so on. The final answer is the sum of all the solutions, which is:
21 + 28 + 35 + 35 + 28 + 21 + 13 + 6 = 214
Therefore, there are 214 distinct paths from (-1,2,0) to (1,3,7) in the Euclidean three-space.
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What is 96 kg in lbs and ounces?
In pounds and ounces, 96 kg equals 216 lb, 1 oz.
What dimensions are there in pounds?These straightforward steps can be used to convert a weight or mass measurement from kilograms (kg) to pounds (lbs): Add 2.2046 to the conversion factor after multiplying the weight. In each, a pound served as the basic unit of weight. The Latin term for pound, "libra," which was also used for the monetary pound (£), is where the abbreviation "lb" originates from. In ounces, pounds were divided.Real health advantages can be had without getting to your high school weight. Even a modest weight loss makes a significant difference. All kinds of health issues can be improved, and you'll feel better too, by losing 5% of your body weight, or 10 pounds for a 200-pound individual.To learn more about pounds, refer to:
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Is 2X squared +8x-8 a polynomial
The expression 2x² + 8x - 8 represents a polynomial.
When does an expression represent a polynomial?An expression represents a polynomial when these following conditions are satisfied:
Integer exponents.Non-negative exponents.The exponents for this problem are given as follows:
2, 1 and 0.
(as the constant term has an exponent of zero).
Which are both integer and non-negative, hence the expression 2x² + 8x - 8 in fact represents a polynomial.
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factor the polynomial completely
z^2 + 10z+24
Answer:
(z + 6)(z + 4)
Step-by-step explanation:
z² + 10z + 24
consider the factors of the constant term (+ 24) which sum to give the coefficient of the z- term (+ 10)
the factors are + 6 and + 4 , since
6 × 4 = + 24 and 6 + 4 = + 10 , then
z² + 10z + 24 = (z + 6)(z + 4) ← in factored form
jon is kayaking on the russian river which flows downstream at a rate of 1 mile per hour. he paddles 5 miles downstream and then turns and paddles 6 miles upstream. the trip takes 3 hours. how fast can jon paddle in still water?
4min/hr jon can paddle in the water.
consider the velocity formula:
velocity = distance/time
The given information is:
Distance downstream = 5 miles
Distance upstream = 6 miles
Trip time = 3 hours
Time downstream = (5 / 5+6)(3) = 15/11 hours
Time upstream = (6 / 5+6)(3) = 18/11 hours
velocity downstream = 5 / 15/11 = 11/3mi/hr + 1mi/hr
velocity upstream = 6 / 18/11 = 11/3mi/hr - 1mi/hr
average velocity = 11/3 or 3.6667 or 4 mi/hr
This question can also be calculated in another way:
velocity = distance/time
time = distance/velocity
x + 1 for downstream because it is on current and x - 1 for upstream because it is against the current.
3hours = (5 / x + 1) + (6 / x - 1)
3(x + 1)(x - 1) = 5(x - 1) + 6(x + 1)
3x^2 - 3x + 3x - 3 = 5x - 5 + 6x + 6
3x^2 - 3 = 11x + 1
3x^2 - 11x - 4 = 0
using a quadratic equation, we can find the roots of the equation:
The roots are = 4, -1/3
since there is no negative velocity, x = 4 mi/h
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12. If AB = 8, BC = 16, and CA = 13, list the angles of ABC in order from smallest to largest.
Answer:
I don't know. I hope this helps!
Step-by-step explanation:
Answer:
C , B , A
Explanation:
In any triangle, there is a direct relation between the measure of the angle and the length of the opposite side.
This means that:
- The longest side will be the one opposite to the largest angle
- The shortest side will be the one opposite to the smallest angle
In the given triangle:
- The longest side is BC, this means that the largest angle is angle A
- The shortest side is AB, this means that the smallest angle is C
- CA has an intermediate length (AB < CA < BC), this means that measure angle B will be greater than C and less than A
Based on the above, the order from the smallest angle to the largest angle will be as follows:
C < B < A
Step-by-step explanation:
Hope its Helps :]
Brayden is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $1.75 per mile driven. How much would a taxi ride cost if Brayden is riding for 9 miles? How much would a taxi ride cost that is � m miles long?
Cost of 9 miles ride = $19.25
Cost of m miles ride = $3.50 + $1.75m
What is linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
Taxi charges $3.50 for pickup and $1.75 per mile.
Total charges can be expressed as
y = $3.50 + $1.75m
where m is the number of miles
For 9 miles
cost y = $3.50 + $1.75×9
= $3.50 + $15.75
= $19.25
Hence, $19.25 will cost for 9 miles ride
For m miles ride will cost $3.50 + $1.75m.
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In ΔVWX, u = 7.9 inches, m∠V=76° and m∠W=44°. Find the length of x to the nearest 10th of an inch
The length of x to the nearest 10th of an inch is 7.1 inches.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
We have law of sine of triangle, which states that,
sin X / x = sin Y / y = sin Z / z
where X, Y and Z are three angles of a triangle and x, y and z are the sides opposite to X, Y and Z respectively.
Using this,
Sin V / v = Sin W / w = Sin X / x
Given that, m ∠V = 76° and m ∠W = 44°
m ∠V + m ∠W + m ∠X = 180°
76° + 44° + m ∠X = 180°
m ∠X = 180° - ( 76° + 44° )
m ∠X = 60°
Also, given that, v = 7.9 inches
Sin V / v = Sin X / x
sin (76°) / 7.9 = sin (60°) / x
x = [sin (60°) × 7.9] / sin (76°)
x = [0.866 × 7.9] / 0.970
x = 7.051 ≈ 7.1
Hence the length of the x is 7.1 inches to the nearest 10th of an inch.
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The function f(x)=log2(-x+3)-4 is graphed below. Plot all lattice points of the inverse. Use the labeled points as your guide.
The lattice point of the inverse is (3, 0).
How to determine the lattice pointsTo find the lattice points of the inverse of the function f(x), we need to find the points where both x and y are integers.
To find the inverse of the function, we switch the x and y values, then solve for y:
y = log2(-x + 3) - 4
x = log2(-y + 3) - 4
y = 3 - 2^(x + 4)
For x and y to be integers, both 2^x and - 2^(x + 4) must be integers.
This occurs when y is a positive integer and y <= 2, since 2^y becomes larger than 3 for y > 2.
Thus, the only lattice point of the inverse is (3, 0).
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a table which shows the truth value of one or more compound propositions for every possible combination of truth values of the propositions making up the compound ones.
The truth values of a compound statement are displayed in a truth table for all feasible combinations of the truth values of its component propositions.
A truth table is a graph that shows the truth value of one or more compound propositions for any two compound propositions that can have the same truth value. It is used to judge whether a logical argument is sound. A truth table is made up of rows and columns, each row having the truth value of the compound proposition for the specified set of truth values, and each column containing the truth value of the individual proposition. The propositions that make up the compound proposition must first be identified, and all potential combinations of truth values for each of those propositions must then be listed in order to produce a truth table. The truth value of the compound proposition can then be calculated for each combination. Applying reasoning to the provided combination will do this. The truth value of the compound proposition will then be shown in the truth table for each combination of truth values. This can assist in determining the viability of a given logical argument.
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Suppose you add or subtract two quadratic trinomials that use the same variable. What are the possible classifications for the sum or difference? Explain.
The sum of a quadratic trinomial with the same variable is twice the individual and the difference will be zero.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know a quadratic equation is of the form ax² + bx + c.
The sum will be,
(ax² + bx + c) + (ax² + bx + c).
= 2ax² + 2bx + 2c.
= 2(ax² + bx + c).
The difference will be,
ax² + bx + c - (ax² + bx + c).
= 0.
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Johnny charges $10 plus $7.50 per hour to mow lawns.
The linear equation of Johnny's charges is C(x) = 10 + 7.5x
How to determine the linear equationFrom the question, we have the following parameters that can be used in our computation:
Initial charge = $10
Hourly rate = $7.50
Let the number of hours be x and the total cost be C(x)
So, we have the following representation
C(x) = Initial charge + Hourly rate * x
Substitute the known values in the above equation, so, we have the following representation
C(x) = 10 + 7.5x
Hence, the function is C(x) = 10 + 7.5x
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Complete question
Johnny charges $10 plus $7.50 per hour to mow lawns.
Determine the linear equation
Please help, 50 points
Convert [tex]5^{\frac{2}{3} } x^{\frac{4}{3} } yz^{2}[/tex] to radical form
Answer:
[tex]5\cdot \sqrt{5}\cdot \sqrt[3]{x^4}\cdot y\cdot z^2[/tex] = [tex]5\cdot \sqrt{5}\cdot x\sqrt[3]{x}\cdot y\cdot z^2[/tex]
Step-by-step explanation:
Let's take the individual terms and convert them to radical form
[tex]5^{\frac{3}{2}} = (5^3)}^{\frac{1}{2}} = 125^{\frac{1}{2}[/tex]
A term raised to the power 1/2 is nothing but the square root of that term
[tex]125^{\frac{1}{2}} = \sqrt{125} = \sqrt{25\cdot 5} = \sqrt{25} \sqrt{5} = 5 \sqrt{5}[/tex]
[tex]x^{\frac{4}{3}} = (x^4)^{\frac{1}{3}} = \sqrt[3]{x^4}[/tex] since any term raised to 1/3 is the cube root of that term
We can simplify this further by noting [tex]x^4 = x^3 \cdot x[/tex]'
So [tex]\sqrt[3]{x^4} = \sqrt[3]{x^3} x = x\sqrt[3]{x}[/tex]
The other exponents are integers
Putting them all together we get
[tex]5^{\frac{3}{2} }x^{\frac{4}{3}}yz^2 = 5\cdot \sqrt{5}\cdot x\sqrt[3]{x}\cdot y\cdot z^2[/tex]
need some help asap with this khan
The graph does not represent a function, as it has vertically aligned points.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
On the function graph, a vertical line through the graph of the function would cross the graph twice for x > -4, meaning that there are inputs is mapped to two outputs, hence the relation is not a function.
This means that the correct option is given by option B.
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Which graph represents the solution set? 23 ≤ 15 + x 2 4 number lines labeled A, B, C, and D. Line A: At 4, there is a closed circle. To the right of 4, the number line is shaded with an arrow pointing to the right. Line B: At 16, there is a closed circle. To the right of 16, the number line is shaded with an arrow pointing to the right. Line C: At 19, there is a closed circle. To the right of 19, the number line is shaded with an arrow pointing to the right. Line D: At 31, there is a closed circle. To the right of 31, the number line is shaded with an arrow pointing to the right.
The shaded region in the graph represents the possible solution sets to the inequality.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the inequality -
x² + 15 ≥ 23
The given inequality is -
x² + 15 ≥ 23
Refer to the graph attached.
The shaded region represents the possible solution sets to the inequality above.
Therefore, the shaded region in the graph represents the possible solution sets to the inequality.
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Dan is playing a game where he selects a card from a deck of four cards, labeled 1 , 2, 3, or 4. The possible cards and probabilities are shown in the probability distribution below. What is the expected value for the card that Dan selects?
3.5
2.0
2.5
1.0
The expected value for the card that Dan selects is 2.5, as it is the average of the probabilities of selecting each card.
The expected value for the card that Dan selects is calculated by taking the sum of the product of each card and its respective probability. The probability distribution for the deck of four cards is as follows: Card 1 has a probability of 0.25, card 2 has a probability of 0.4, card 3 has a probability of 0.2, and card 4 has a probability of 0.15. To calculate the expected value, we first multiply each card number by its respective probability and then add each product together. This gives us 0.25 x 1 = 0.25, 0.4 x 2 = 0.8, 0.2 x 3 = 0.6, and 0.15 x 4 = 0.6. Adding all of these together gives us a total of 2.5, which is the expected value for the card that Dan selects.
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given a and b in exercises 11 and 12, write the augmented matrix for the linear system that corresponds to the matrix equation a x=b. then solve the system and write the solution as a vector.
If A is a m × n matrix, with columns a1, . . . , an, and if b is in R
m,
then the matrix equation
Ax = b
has the same solution set as the vector equation
x1a1 + x2a2 + · · · + xnan = b
which, in turn, has the same solution set as the system of linear
equations whose augmented matrix is
a1 a2 · · · an b.
The equation Ax = b is consistent if−2b1 + b3 = 0.
(equation of a plane in R3)
x1a1 + x2a3 + x3a3 = b
if and only if b3 − 2b1 = 0.
Columns of A span a plane
in R3 through 0
Instead, if any b in R3
(not just those lying on a particular line or
in a plane) can be expressed as a linear combination of the
columns of A, then we say that the columns of A span R3
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A car moves along an x axis through a distance of 950 m, starting at rest (at x = 0) and ending at rest (at x = 950m). Through the first 1/4 of that distance, its acceleration is +5.40 m/s^2. Through the next 3/4 of that distance, its acceleration is -1.80 m/s^2. What are (a) its travel time through the 950 m and (b) its maximum speed?
Answer:
Step-by-step explanation:
To find the time it takes for the car to travel 950 m, we need to find the time it takes for each segment and add them up. Let's call the travel time for the first quarter t1, and the travel time for the remaining 3 quarters t2.
a) Travel time:
For the first quarter (0 m to 237.5 m), the equation for the velocity can be found using the kinematic equation:
v = v0 + at
where v0 is the initial velocity (0 m/s), a is the acceleration (+5.40 m/s^2), and t is t1.
So,
t1 = (v - v0) / a = (0 - 0) / 5.40 = 0
For the next 3 quarters (237.5 m to 950 m), the equation for the velocity can be found using the kinematic equation:
v^2 = v0^2 + 2ad
where d is the displacement (950 m - 237.5 m = 712.5 m), and a is the acceleration (-1.80 m/s^2).
So,
t2 = sqrt((2ad + v0^2) / a) = sqrt((2 * -1.80 * 712.5 + 0^2) / -1.80) = sqrt(1286.25 / -1.80) = sqrt(709.03) = 26.6 s
Adding t1 and t2 gives the total travel time:
t = t1 + t2 = 0 + 26.6 = 26.6 s
b) Maximum speed:
To find the maximum speed, we need to find the velocity at the halfway point (475 m) by using the kinematic equation:
v = v0 + at
where v0 is the initial velocity (0 m/s), a is the acceleration (+5.40 m/s^2), and t is t1.
So,
v = 0 + 5.40 * (475 / 237.5) = 4.96 m/s
The maximum speed is 4.96 m/s.
sorry for making it so long.
Find the value of the differential dy when y = x 4 x 2 1 , x = 1, and dx = 0.1. ?A. dy = 0.2 B. dy = 0.6 C. dy = 0.12 D. dy = 0.5 E. dy = 6
The value of the differential dy when y = x^4 - x^2 + 1 , x = 1 , x = 1, and dx = 0.1 is (D) dy = 0.5.
To find the value of dy, we need to first find the derivative of the function y = x^4 - x^2 + 1. The derivative is given by y' = 4x^3 - 2x. At x = 1, the value of y' is 4(1)^3 - 2(1) = 2. The differential dy is given by dy = y' * dx, where dx = 0.1. So, dy = 2 * 0.1 = 0.2.
Correct Question :
Find the value of the differential dy when y = x^4 - x^2 + 1 , x = 1, and dx = 0.1. ?A. dy = 0.2 B. dy = 0.6 C. dy = 0.12 D. dy = 0.5 E. dy = 6
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Given the functions f(x) = x² + 4 and h(x) = x-2, find (f - h) (-4)
A. 6
B. 26
C. 14
D. 12
Answer:
(f - h) (-4) = 26.
Step-by-step explanation:
First, find the value of f(-4):
f(x) = x² + 4
f(-4) = (-4)² + 4 = 16 + 4 = 20
Next, find the value of h(-4):
h(x) = x-2
h(-4) = -4 - 2 = -6
Finally, subtract h(-4) from f(-4) to find (f - h) (-4):
(f - h) (-4) = f(-4) - h(-4) = 20 - (-6) = 20 + 6 = 26
So (f - h) (-4) = 26.
juan made 1/2 of a quart of hot chocolate each mug holds 1/8 of a quart how many mugs will juan be able to fill
Answer:
Juan can fill 4 mugs.
Step-by-step explanation:
Take the total amount of hot chocolate and divide by the amount each mug will hold.
1/2 ÷ 1/8
Copy dot flip.
1/2 * 8/1
8/2
4
Juan can fill 4 mugs.
Answer:
4 mugs
Step-by-step explanation:
If each mug holds 1/8 of a quart, and Juan has 1/2 of a quart of hot chocolate, then he can fill:
[tex]\sf:\implies{1/2 ÷ 1/8 = 4 \: mugs.}[/tex]
So, Juan will be able to fill 4 mugs.
In
△
G
H
I
,
△GHI,
I
G
‾
≅
H
I
‾
IG
≅
HI
and
m
∠
H
=
7
4
∘
.
m∠H=74
∘
. Find
m
∠
G
.
m∠G.
The ∆GHI is an isosceles triangle and have the base angles m∠H and m∠G equal to 74° and the angle I is equal to 32°.
What is an Isosceles triangleAn isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.
Given that sides IG ≅ HI, then the triangle ∆GHI has two sides with similar length and base angles so;
angles m∠H and m∠G are the base angles and m∠G = 74°
m∠I = 180° - (74 + 74)° {sum of interior angles of a triangle}
m∠I = 32°
Therefore, the ∆GHI is an isosceles triangle and have the base angles m∠H and m∠G equal to 74° and the angle I is equal to 32°.
Know more about Isosceles triangle here:https://brainly.com/question/1475130
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Simplify the expression. 6q + 7 -2 +4q
Answer:
10q + 5
Step-by-step explanation:
6q+7-2+4q
=10q+5
:]
Hope this helps
the area of a circle is 100 Pi find the circumference in terms of Pi
Answer:
The formula for the area of a circle is given by Pi * r^2, where r is the radius of the circle. If the area of the circle is 100 Pi, we can solve for the radius:
100 Pi = Pi * r^2
r^2 = 100
r = 10
The formula for the circumference of a circle is given by 2 * Pi * r. Substituting the value of r = 10, we get:
C = 2 * Pi * r = 2 * Pi * 10 = 20 * Pi
So, the circumference of the circle is 20 Pi.
What is meant by standardized units and why are they useful?Choose the correct answer below.A).Standardized units are the units that were once standard but have since been phased out for more precise definitions of measurements. They are useful for historical reason, as knowledge of these older units allows people to translate the measurements of the past into the units of today.B).Standardized units are the units that have been determined by a monarchy. They allow educated peoples who use them to distinguish themselves from the common folk who do not.C.)Standardized units are units that have the same meaning for everyone who uses them. When using standardized units, people can communicate measurements and know that they mean the same thing to both people.D.)Standardized units are units that are about the same for each person. For example the length of a person's foot is a foot. These units are useful because, for example, anyone with a foot can use their own to get a measurement.
The Correct statement about Standardized units is (c) Standardized units are units that have the same meaning for everyone who uses them. When using standardized units, people can communicate measurements and know they mean same thing to both people.
The Standardized Units are a set of units of measurement that have been universally recognized and adopted for specific quantities.
The International System of Units (SI) is the most widely used system of standardized units, and includes units for measuring length, mass, time, electric current, temperature, and other physical quantities.
The Standardized Units play a crucial role in scientific experiments, as well as in manufacturing processes, and in providing precise information on medication dosages, food labeling, and other important areas.
Therefore , standardized units ensure uniformity and comparability of measurements across different fields and geographic locations.
What is meant by standardized units and why are they useful?
Choose the correct answer below.
(a) Standardized units are the units that were once standard but have since been phased out for more precise definitions of measurements. They are useful for historical reason, as knowledge of these older units allows people to translate the measurements of the past into the units of today.
(b) Standardized units are the units that have been determined by a monarchy. They allow educated peoples who use them to distinguish themselves from the common folk who do not.
(c) Standardized units are units that have the same meaning for everyone who uses them. When using standardized units, people can communicate measurements and know that they mean the same thing to both people.
(d) Standardized units are units that are about the same for each person. For example the length of a person's foot is a foot. These units are useful because, for example, anyone with a foot can use their own to get a measurement.
Learn more about Standardized Units here
https://brainly.com/question/13559920
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What happens to a graph that is representative of exponential decay? The graph goes: a. down and to the right c. up and to the right b. down and to the left d. up and to the left Please select the best answer from the choices provided A B C D
Answer:
A) Down and to the right.
Step-by-step explanation:
Hope it helps! :)