what is the midsegment of a triangle? the triangle midsegment is a segment joining the of two sides of a trinagle. what is the triangle midsegment theorem? if a segment joins the of two sides of a triangle, then the segment is to the third side and as long.
The triangle midsegment is a very important concept in geometry, and the triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and has a length equal to half of the length of the third side
The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side of the triangle and has a length that is equal to half of the length of the third side.
In this explanation, we will define the midsegment of a triangle and explain the triangle midsegment theorem in more detail.
To begin, let's consider a triangle ABC with midpoints D and E on sides AB and AC respectively. The segment DE is the midsegment of triangle ABC.
According to the triangle midsegment theorem, the length of DE is equal to half the length of the third side of the triangle, BC. Mathematically, this can be represented as follows:
DE = BC/2
In addition to the length, the midsegment of a triangle is also parallel to the third side. This means that if we extend the midsegment, it will eventually intersect the third side of the triangle.
The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and also has the same length as half of the third side.
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Question
Explain why a linear function that is continuous has an infinite number of solutions. Then determine which of the following representations show all the solutions of the function: a table, a graph, or an equation.
There are infinitely many possible solutions to a continuous linear function graph or equation.
What is an example of a linear function?A constant rate of change here in the coordinate plane describes a straight line. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane. This function may be expressed as f(x) = 3x - 2 since y can be substituted with f(x).
An unlimited number of solutions exist for a linear function. Therefore, we may replace the domain with an endless amount of values.
A table lists all of the possible solutions.
All of the solutions are represented by an equation or graph.
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what is 5,000 dg =____g
Answer: search it up
Step-by-step explanation:
What is the greatest common factor between 18 and 30 and 54
The greatest common factor (GCF) of 18, 30, and 54 is 6.
The greatest number that divides two or more numbers without leaving a residue is known as the GCF.
The prime factorization approach is the most effective way to resolve this issue.
Using this technique, you will first determine the largest common factor amongst each number's prime factors.
The prime factorization of 18 is 2 x 3 x 3.
The prime factorization of 30 is 2 x 3 x 5. The prime factorization of 54 is 2 x 3 x 3 x 3.
The largest common factor amongst all of them is 6, which is the GCF.
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Number half way between 3/10 and 4/5
Answer:
2.29
Step-by-step explanation:
add the 2 numbers in decimal form then divide by 2
What are the factors of the cubic function f(x)=8x3+64?
Choose each correct answer.
Responses
(2x+4)
(2x−4)
(4x2−8x+16)
(4x2+8x+16)
Answer:
i think the answer is (2x+4)
Two restaurants offer customers large pizzas using different measurements for diameter.
Restaurant 1: One large 16-inch pizza for $14.99
Restaurant 2: One large 41.91-centimeter pizza for $14.99
If 1 inch = 2.54 centimeters, what is the length of the crust around the larger pizza, using π = 3.14?
We can start by finding the diameter of the larger pizza in inches:
41.91 cm ÷ 2.54 cm/inch = 16.5 inches (rounded to one decimal place)
The diameter of the larger pizza is about 16.5 inches. Using this value, we can find the circumference (length of the crust) of the larger pizza using the formula:
C = πd
where C is the circumference and d is the diameter.
C = 3.14 × 16.5 inches
C ≈ 51.81 inches (rounded to two decimal places)
Therefore, the length of the crust around the larger pizza is about 51.81 inches.
Maliyah buys a bus ticket to New Orleans, her favorite city in America. The original price of $120 . She uses a coupon code to get a 20% discount off of the original price . She is then charged a 6% tax on the discounted price . What is the final cost for Maliyah's bus ticket
As per unitary method, Maliyah's bus ticket to New Orleans will cost $101.76 after using a coupon code and paying the tax.
The Unitary Method is a problem-solving strategy that is used to break down complex problems into smaller, more manageable parts.
To determine the final cost of Maliyah's bus ticket to New Orleans, we will use the unitary method of problem solving. This method involves breaking down the problem into smaller parts and solving each part separately to find the final answer.
The first step is to find the discounted price of the ticket. To do this, we multiply the original price of $120 by the discount percentage of 20%.
$120 * 0.20 = $24
Next, we subtract this amount from the original price to get the discounted price.
$120 - $24 = $96
Next, we find the amount of tax charged on the discounted price by multiplying the discounted price by the tax rate of 6%.
$96 * 0.06 = $5.76
Finally, we add this amount to the discounted price to get the final cost of the ticket.
$96 + $5.76 = $101.76
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The positive angle between 0 and 2 in radians that is coterminal with the angle −143 in radians is
The positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians, which is equal to 59.8°.
To find the positive angle in radians that is coterminal with −143 radians, we must first convert the negative angle to its equivalent positive angle. The angle −143 radians is equivalent to the angle 2π - 143 radians. We can calculate this by using the formula 2π + x = 2π - |x|, where x is the given angle. In this case, x = −143. Applying this formula, we get 2π + (−143) = 2π - |−143| = 2π - 143. This is the equivalent positive angle of the given negative angle. To find the positive angle that is coterminal with the positive angle we just found, we must subtract it from 2π until we get a value that is between 0 and 2π. To do this, we subtract 2π - 143 from 2π until we get a value that is between 0 and 2π. After subtracting 2π - 143 from 2π multiple times, we get the result 1.057 radians, which is equal to 59.8°. Therefore, the positive angle between 0 and 2 radians that is coterminal with the angle −143 radians is 1.057 radians.
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Can someone please explain how to solve this step by step so I could learn how to do this, if I don’t figure this out I’m literally gonna shoot myself
[tex]2x+2y=-8 \implies x+y=-4 \implies y=-4-x[/tex]
We can substitufe this result into the second equation.
[tex]-10x-5(-4-x)=-5 \\ \\ -10x+20+5x=5 \\ \\ -5x+20=5 \\ \\ -5x=-15 \\ \\ x=3 \implies y=-4-3=-7[/tex]
[tex]\therefore[/tex] The solution is [tex](3,-7)[/tex].
Consider the series.
∞
∑ (3^n+13^n+1)
n=1
Does the series converge or diverge?
Select answers from the drop-down menus to correctly complete the statements.
The value of r from the ratio test is
Choose...
0
1
3
infinity
. The series
Choose...
Converges
Diverges
Answer:
Step-by-step explanation:
i guess converges
[tex] log_{a}(15) = m \: and \: log_{a}(5) = n \\ then \: what \: is \: \\ log_{a}( \sqrt{3} ) [/tex]
options =
1)
[tex] \frac{1}{2}n - m [/tex]
2)
[tex] \frac{1}{2} (n - m)[/tex]
3)
[tex]n \times m[/tex]
4)
[tex]n \div m[/tex]
Answer:
m-n/2
Step-by-step explanation:
we are here given that,
[tex]\longrightarrow \log_{a}(15)=m [/tex] and ,
[tex]\longrightarrow \log_{a}(5) = n [/tex]
Taking the first given equation, we have;
[tex]\longrightarrow \log_{a}15=m \\ [/tex]
[tex]\longrightarrow \log_{a}(5\times 3) = m\\[/tex]
[tex]\longrightarrow \log_a 5 + \log_a 3 = m [/tex]
now substitute the value from second equation,
[tex]\longrightarrow n + \log_a 3 = m \\ [/tex]
[tex]\longrightarrow \log_a(\sqrt3)^2 = m - n \\ [/tex]
[tex]\longrightarrow 2 log_a \sqrt3 = m - n \\ [/tex]
[tex]\longrightarrow \underline{\underline{ \log_a \sqrt3 = \dfrac{m-n}{2}}} [/tex]
And we are done!
How should I work out this question?
The number of a country's unemployed workers decreased from 5.3 million to
3.9 million last year. If the country's population remained constant at 75
million, how did its unemployment rate change last year?
A. It decreased by about 2%.
B. It increased by about 18%.
C. It decreased by about 18%.
D. It increased by about 2%.
SUBT
Answer:
To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country. If the number of unemployed workers decreased from 5.3 million to 3.9 million, then the decrease is 5.3 million - 3.9 million = 1.4 million.
The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.
So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.
Therefore, the answer is:
D. It increased by about 2%.
The solution is: D. It increased by about 2%.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
To find the change in the unemployment rate, we need to calculate the ratio of the decrease in the number of unemployed workers to the total number of workers in the country.
If the number of unemployed workers decreased from 5.3 million to 3.9 million,
then the decrease is 5.3 million - 3.9 million = 1.4 million.
The total number of workers in the country is equal to the population minus the number of unemployed workers, or 75 million - 5.3 million = 69.7 million.
So, the change in the unemployment rate is (1.4 million / 69.7 million) * 100% = 2.0%.
Therefore, the answer is:
D. It increased by about 2%.
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HELP ILL GIVE BRAINLEST!!! Solve for the value of n.
(7n-2)°
(6n+6)
Answer: n=8
Step-by-step explanation:
7n-2=6n+6
add 2 to 6 and subtract 6 from 7
this gets you n=8
Russell and Valerie start to walk away from the Cafeteria to their classes.
Russell walks 10 yards due West, then turns 40° toward South and walks 5 yards.
Valerie walks 10 yards due East, then turns 60° toward North and walks 5 yards.
Which student is farther from the cafeteria? Explain how you know using a diagram and words.
The person that is farther from the cafeteria would be Valerie.
How is Valerie farther from the Cafeteria?To determine which student is farther from the cafeteria, we need to calculate the distance each student has traveled from the cafeteria.
For Russell, his total displacement can be calculated using vector addition:
10 yards (due West) + 5 yards (South of West) = 10.87 yards at an angle of 305° from due West.
For Valerie, her total displacement can be calculated using vector addition:
10 yards (due East) + 5 yards (North of East) = 12.5 yards at an angle of 75° from due East.
Since the magnitude of the vector representing Valerie's displacement is larger, she is farther from the cafeteria.
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I need help the question is Becca hit 7 more home runs than Beverly hit? which equation and solution represents this scenario
Becca hit 21 + 7 = 28 home runs.
The addition is the method of adding two or more entities together. In math, addition is the procedure of calculating the sum of two or more numbers.
It is a preliminary arithmetic operation that is typically used in our day-to-day life. One of the most common uses of addition is when we deal with money, calculate our bills, or calculate time.
The addition is an operation used to sum up, numbers. The result that is received after addition is known as the sum of the given numbers.
For example, if we wish to calculate the Becca hit, we would add the Beverly hit and 7.
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--The given question is incomplete; the complete question is
"Becca hit 7 more home runs than Beverly. Beverly hit 21 home runs. How many runs did Becca hit?"--
When you multiply two terms by two terms, you should get four terms. Why is the final term result when you multiply two binomials sometimes only three terms? Give an example of how your final result can end up with only two terms
(a + b) * (a + b) = a * a + a * b + a * b + b * b = [tex]a^{2}[/tex] + 2ab + [tex]b^{2}[/tex]
This is an example of how the final result can end up with only three terms.
When you multiply two binomials, the result can sometimes have fewer than four terms because some of the terms may be combined or simplified.
The reason for this is that when you multiply two binomials, you use the distributive property, which states that you can multiply each term in one binomial by each term in the other binomial. The product of each pair of terms is a term in the final result.
For example, if you multiply (a + b) and (c + d), the final result will have four terms:
(a + b) * (c + d) = a * c + a * d + b * c + b * d
However, if one of the terms in either binomial is equal to zero, then the product of that term and the other term will be equal to zero, and that term will not appear in the final result:
(a + b) * (0 + d) = a * 0 + a * d + b * 0 + b * d = a * d + b * d
This is an example of how the final result can end up with only two terms.
Another way the final result can end up with only two terms is if two of the terms are equal to each other. When this happens, you can add them together and simplify the expression:
(a + b) * (a + b) = a * a + a * b + a * b + b * b = a^2 + 2ab + b^2
This is an example of how the final result can end up with only three terms.
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Could anyone please help me with these questions, just answer the un-answered questions, if I did a question incorrectly please let me know in the comments or your answer. Just also make sure to include a step-by-step explanation.
The ratio of wins to losses is 5:6.
The ratio of losses to ties will be 3:2
The ratio of losses to games played will be 2:5.
The ratio of wins to games played will be 1:3.
How to calculate the ratioRatio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
The ratio of wins to losses is:
= 10 / 12
= 5:6.
The ratio of losses to ties will be:
= 12 / 8
= 3:2
The ratio of losses to games played will be:
= 12 / (10 + 12 + 8)
= 12 / 30
= 2:5.
The ratio of wins to games played will be:
= 10 / 30
= 1:3
The ratio of children to adult will be:
= 165 / 66
= 5:2
The ratio of good bothes to games boothes will be:
= 6/15.
= 2:5
The ratio of children to games booths will be:
= 165 / 15
= 11:1
The ratio of female lions to make lions will be:
= 20 / 8
= 5:2
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A boat is heading towards a lighthouse, whose beacon-light is 141 feet above the water. From point A, the boat's crew measures the angle of elevation to the beacon, 7 , before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 14°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
The distance that exists from point A to B is 583 feet
How to solve for the distanceThe distance is given as Xa - Xb
WE have to solve for Xa
Tan 7 = 141 / Xa
Xa = 141 / Tan 7
Xa = 1148.4
Next we have to solve for xB
At B the vertical change remains 141 we are to find XB using the angle 14 degrees
Tan 14 = 141 / Xb
Xb = 141 / tan 14
Xb = 565.52
Then the distance = 1148.4 - 565.52
= 582.88
≈ 583 feet
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HELP I WILL GIVE BRAINIEST!!!! Find the measure of the missing angles.
Answer:
b = 93° , c = 87°
Step-by-step explanation:
b and 93° are vertically opposite angles and are congruent , then
b = 93°
c and 93° are a linear pair and sum to 180° , that is
c + 93° = 180° ( subtract 93° from both sides )
c = 87°
Answer:
b=93
c=87
Step-by-step explanation:
1. For b, the angle is 93 degrees because of the vertical angle theorem, where two straight lines intersect, forming two sets of linear pairs with congruent angles.
Therefore, that angle is 90 degrees.
2. For c, use the given angle that is provided, since angle C and the given angle are supplementary (equaling 180 degrees), we can subtract the total (180) from the part (93)
180 - 93 = 87
The table shows the cost per pound of various vegetables at a farmers’ market.
Two people purchase 2 1/2 pounds of pinto beans, 1 1/3 pounds of brussels sprouts, and 2 pounds of olives. If the people split the total cost evenly, enter the cost per person of the purchased vegetables in the space provided.
The required cost per person of the purchased vegetables is given as $7.62.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The total cost of vegetables for 2 1/2 pounds of pinto beans, 1 1/3 pounds of brussels sprouts, and 2 pounds of olives is given as,
= 5/2× 1.24 + 4/3 ×2.82 + 2 × 4.19
= $15.24
This, amount of the bill is split between two people,
= 15.24 / 2
= $7.62
Thus, the required cost per person of the purchased vegetables is given as $7.62.
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PLS HELP ME I WILL GIVE YOU 50 POINTS AND MAKE U BRAINLESS ONLY CORRECT ANSWERS PLS!!
Answer:
[tex]1 \frac{7}{12} [/tex]
Step-by-step explanation:
First you subtract the whole numbers
4-3
Then you
Subtract the fractions which will give 7/12
Combining them together we get
[tex]1 \frac{7}{12} [/tex]
A ball of mass 7 kg is thrown upward at an initial velocity of 20 m/s from a height of 50 m. The ball reaches a maximum height of 100 m before falling back to the ground. Calculate the potential energy of the ball at its highest point.
Step-by-step explanation:
The potential energy of an object can be calculated as the sum of its kinetic and gravitational potential energy. At its highest point, the ball has zero kinetic energy, so the potential energy is equal to its gravitational potential energy.
The gravitational potential energy of an object is given by:
PE = m * g * h
where m is the mass of the object (7 kg), g is the acceleration due to gravity (9.8 m/s^2), and h is the height above a reference point. In this case, the reference point is the ground, so h = 100 m.
Substituting in the given values, we find:
PE = 7 * 9.8 * 100 = 686 J
This is the potential energy of the ball at its highest point.
Answer:
answeransweransweranswer is 686 Joules(J)
Step-by-step explanation:
streets that form a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.
The area of the square block is 48,881 m2, which is calculated by multiplying the length of each side (221 m) by itself.
The area of a square can be calculated by multiplying the length of one side by itself. In this case, the length of each side is 221 m. To find the area of the square block, we need to multiply 221 m by itself. This gives us 48,881 m2 as the final answer. To summarize, the area of the square can be found by multiplying the length of one side by itself. In this case, the length of each side of the block was 221 m, so 221 m multiplied by 221 m results in a total area of 48,881 m2.
The complete question: In one city there are four straight streets that form a square block. The length of each side of the block is 221 m. Find the area of the square defined by this city block.
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the price of a car was £11800 it is reduced to £10384
The percent reduction in the price of the car is given as follows:
12%.
How to obtain the percent reduction?The percent reduction in the price of the car is obtained applying the proportions in the context of this problem.
A proportion is applied because the percentage reduction is obtained dividing the reduction by the initial value, and then multiplying by 100%.
The parameters for this problem are given as follows:
Reduction: 11800 - 10384 = 1416.Initial value: 11800.Hence the percent reduction is given as follows:
1416/11800 x 100% = 12%.
Missing Information
The problem asks for the percent reduction in the price of the car.
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Law of cosines: a2=b2+c2-2bccos(A)
What is the measure of angle N to the nearest whole degree
The measure of the angle N will be 82.8 degrees.
What is the law of cosines?The square of the length of any one side of a triangle is equal, by the cosine rule, to the sum of the squares of the lengths of the other two sides, multiplied by the cosine of the angle they are a part of.
Given that the formula form cosine law is,
a²=b²+c²- 2.bc.cos(A)
Let us assume the values a = 6, b = 5, and c = 4. The angle N will be calculated as:-
a²=b²+c²- 2.bc.cos(A)
6² = 5² + 4² - 2 x 5 x 4 cos(A)
36 = 25 + 16 - 40cos(A)
-5 = - 40cosA
cosA = 1 / 8
A = cos⁻¹( 1 / 8 )
A = 82.81°
Therefore, the value of angle N is 82.81°
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Help please!15 points available.GCSE maths question.
Answer:
10^(3m-2n)
Step-by-step explanation:
Whenever we divide powers, we subtract them.
1000^m can be written as 10^3 (10×10×10)
100^n can be written as 10^2 (10×10)
So, we get 10^3m (m is multiplied by the power of 3) and 10^2n (n is multiplied by the power of 2).
So, the answer would be 10^(3m-2n).
3. There were 340,000 cattle placed on feed.
Write an equivalent ratio that could be
used to find how many of these cattle were
between 700 and 799 pounds. How many
of the 340,000 cattle placed on feed were
between 700 and 799 pounds?
The number of cattle would be 136,000 and the comparable ratio would be 4/10.
What is the equivalent ratio?When we compare two ratios, they are said to be equivalent.
To determine whether two or more ratios are equivalent, they can be compared to one another.
For instance, ratios 1:2 and 2:4 are equivalent.
Equivalent ratios are two ratios with the same value.
By multiplying or dividing the two amounts by the same number, you may determine the corresponding ratio.
Finding equivalent fractions follows the same procedure.
So, an equivalent ratio is required by the question.
This refers to a fraction that is equal to 2/5 of the fraction between 700 and 799.
We multiply the numerator and denominator by the same amount to produce an equivalent fraction.
When we divide both by 2, we get:
(2*2)/(5*2) = 4/10
While working with thousands, tenths are helpful since subtracting a zero when taking a tenth makes it usable.
As a result, 1/10 would equal 34000, and 4/10 would equal four times that: 4(34000) = 136000.
Therefore, the number of cattle would be 136,000 and the comparable ratio would be 4/10.
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Complete question:
There were about 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were between 700- 799 pounds. How many of the 340,000 cattle placed on feed were between 700-799 pounds?
Weight Group. Fraction of total cattle
less than 600. 1\5
pounds.
600-699. 11/50
700-799. 2\5
800. 9\20
Graph one period of: y = -8 cos 5x
The graph of one period of: y = -8 cos 5x is graph (a)
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
y = -8 cos 5x
Tto graph one period of y = -8 cos 5x, we use the following
Determine the amplitude and period of the function. In this case, the amplitude is 8 and the period is 2π/5.Plot the maximum and minimum values of the function over one period. These occur when cos 5x is equal to 1 and -1, respectively.Connect the maximum and minimum points with a smooth curve to form one period of the function.
In this case, the graph is (a)
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