Answers
Check the picture below.
Tan ratio for angle B is 2/1.
Related Questions
what is the equation of a line with a y-intercerpt of a -3 and a slope of 5
Answers
Answer:
Step-by-step explanation:
y = (a-3)x+5
Answer:
y=3x+5
Step-by-step explanation:
What is the additive inverse of [(- 3 )+ (- 6 )]?
Answers
The additive inverse of (-3) + (-6) is (3 + 6) which is 9
The additive inverse of a number is its opposite, or the number that when added to the original number results in zero. In other words, it is the number that can "cancel out" the original number and make it disappear.
For example, the additive inverse of 3 is -3, because 3 + (-3) = 0. Similarly, the additive inverse of -6 is 6, because -6 + 6 = 0.
Now, for the given expression, the additive inverse of (-3) + (-6) is the number that can "cancel out" the expression and make it disappear. By adding the additive inverse of each term of the given expression we would get 0. Therefore the additive inverse of (-3) + (-6) is (3 + 6) which is 9.
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two cruise ships left Maui traveling in the opposite directions. The one heading east was going 12 mph faster than the one heading west. After six hours, the ships were 300 miles apart. How fast did the ship going east travel?
Answers
Answer: We can start solving this problem by using the information given: the ships are traveling in opposite directions and the speed difference between them is 12 mph. Let's call the speed of the ship heading east x and the speed of the ship heading west x-12.
We also know that the ships were 300 miles apart after 6 hours. The distance between the two ships can be represented as the sum of the distances traveled by each ship, which is x*6 + (x-12)*6 = 300.
We can use this equation to find the value of x.
x*6 + (x-12)*6 = 300
We can simplify it as:
x6 + x6 - 72 = 300
x12 - 72 = 300
x12 = 372
x = 31
So the ship heading east travels at 31 mph.
It is important to notice that the ship going west was 12 mph slower than the ship going east, so the speed of the ship going west is 31-12 = 19 mph.
It is also important to notice that the speed of each ship, x and x-12, are in the same units (mph) and also the distance, 300 miles, and the time, 6 hours, are also in the same units (hours and miles)
Step-by-step explanation:
Can you help me with this
Answers
Answer:
Step-by-step explanation:
whats the function
Miriam took a survey, asking each family in her neighborhood how many pets they have. She made a graph showing the results: [asy] size(5.5cm); draw((0,30)--(0,0)--(41,0)); for(int i=1; i<7; i+=1) {draw((0.6,5*i)--(-0.6,5*i)); draw((0.6,5*i)--(41,5*i),black+0.5+dashed); }; path a=(3,0)--(3,30)--(9,30)--(9,0)--cycle; path b=(9,0)--(9,15)--(15,15)--(15,0)--cycle; path c=(15,0)--(15,15)--(21,15)--(21,0)--cycle; path d=(21,0)--(21,30)--(27,30)--(27,0)--cycle; path e=(27,0)--(27,5)--(33,5)--(33,0)--cycle; path f=(33,0)--(33,5)--(39,5)--(39,0)--cycle; fill(a,gray); fill(b,gray); fill(c,gray); fill(d,gray); fill(e,gray); fill(f,gray); draw(a); draw(b); draw(c); draw(d); draw(e); draw(f); label(rotate(-45)*scale(0.8)*"0 pets",(5,-1),SE); label(rotate(-45)*scale(0.8)*"1 pet",(11,-1),SE); label(rotate(-45)*scale(0.8)*"2 pets",(17,-1),SE); label(rotate(-45)*scale(0.8)*"3 pets",(23,-1),SE); label(rotate(-45)*scale(0.8)*"4 pets",(29,-1),SE); label(rotate(-45)*scale(0.8)*"5 pets",(35,-1),SE); label(scale(0.8)*"1",(-0.6,5),W); label(scale(0.8)*"2",(-0.6,10),W); label(scale(0.8)*"3",(-0.6,15),W); label(scale(0.8)*"4",(-0.6,20),W); label(scale(0.8)*"5",(-0.6,25),W); label(scale(0.8)*"6",(-0.6,30),W); label(scale(0.8)*rotate(90)*"Number of families",(-3.5,15),W); [/asy]Determine the median number of pets per family.
Answers
The median number of pets per family is 2.
What is median number?Median number is the middle value of a set of numbers when they are arranged in numerical order. It is also known as the middle number or the 50th percentile. The median number is used to find the middle value when there is an odd number of values in the set, or to find the average of the two middle values when there is an even number of values in the set.
This can be determined by looking at the graph and counting the number of families in each bar.
The bar with 2 pets has the most families, and is the median number.
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How do you compare exponential graphs?
Answers
They are graphed looking at the asymptote, the intercept, the rate of change and the end behavior. They are compared by the rate of change. Function translations and stretching/compression.
To graph the function, along with the coefficients of the function, the end behavior of the function is needed, as follows:
Limit of y when x goes to negative infinity: gives the behavior at the left end of the graph.
Limit of y when x goes to positive infinity: gives the behavior at the right end of the graph.
They are compared by their rate of changes, if they are increasing/decreasing, and which one increases faster.
The transformations are as follows:
Translation: a constant is added to either x or y(changing the asymptote if y), meaning that the function can be moved down, up, left or right.
Stretching: a constant multiplies x or y, meaning that the graph can be either compressed or stretched vertically or horizontally.
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In the figure, ∠1 ≅ ∠2, ∠3 ≅ ∠4, and . You can justify the conclusion that ∠TKL ≅ ∠TLK by stating _____
Answers
The congruence of the angles <TKL and <TLK is justified as follows:
The supplements of congruent angles are congruent.
How to justify the congruence of angles TKL and TLK?Congruent angles are angles that have the same angle measure.
The congruent angles for this triangle are given as follows:
<TKL and <TLK∠3 ≅ ∠4.An angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º, hence:
<TKL + <3 = 180º.<TLK + <4 = 180º.As angles 3 and 4 are congruent, we have that angles <TKL and <TLK are also congruent, and thus the correct option is given by the last option.
Missing InformationThe problem is given by the image presented at the end of the answer.
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The Johnson family went out to lunch The meal cost $46.72 The sales tax was % of the cost of the meal The tip was 15 % of the meal and sales tax . There are 4 people in the Johnson family . How much did the meal cost per person , including sales tax and tip ? A $ 14.00 B $ 14.50 C $ 14.95 D $ 15.25
Answers
Answer: The answer is B. $14.50
Select all the correct answers.
Which three pairs of side lengths are possible measurements for the triangle?
30°
0
000
60°
BC=5√2, AC = 10
AB=14, AC = 28
AB= 3, BC = 3√3
AB=
4√3, BC = 4
BC=
19√3, AC = 38√3
BC=16, AC = 32
Answers
1) Ed invests $1,000 into a money market account that earns 8% annual interest compounded quarterly. How much money will
he have earned after 8 years?
Answers
The money market account earns 8/4 = 2% interest per quarter.
In one year, there are 4 quarters.
so, the formula to calculate the balance after 8 years is:
A = P (1 + r/n)^(nt)
where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.
Substituting in the given values,
A = 1000 (1 + .02)^(4*8)
A = 1000 (1.02)^32
A = 1000 (1.8587)
A = 1858.7
So after 8 years, Ed will have earned $1858.7.
solve: y=5
3x - 2y= 14
Answers
Answer:
(8,5)
Step-by-step explanation:
Step-by-step explanation: y=5 x 3x - 2y= 14
help me please . i really need help.
Answers
Answer: Congruent figures can slide, flip, or turn.
(Translate, reflect, or rotate)
Corresponding Angles are congruent. (Not always)
Corresponding Sides have a scale factor.
Corresponding Sides are Congruent. (Only if they have the same side and shape)
Corresponding Angles have a scale factor. (I Dont Know about this one)
All transformations (translation, reflection,
rotation, and dilation) result in congruent figures. (It would be similar to the pre-image)
i hope this helps sorry I can't do much but i think it might just be the 3 without the bolded words behind it
Are multiples of 8 Infinite?
Answers
No, multiples of 8 are not infinite.
Multiples of 8 include mainly the numbers that can be obtained by multiplying the number 8 by any whole number. The set of multiples of 8 includes 8, 16, 24, 32, 40, and so on, but it is not infinite. In fact, it's a countable set, and it has the highest value, which is infinity times 8, which is also infinity. However, it is not infinite because there is a finite number of multiples of 8 for any given positive integer n, such that 8*n is the highest multiple of 8. The set itself is not infinite.
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I need to find F, that's all
Answers
Answer:
[tex]f=6[/tex]
Step-by-step explanation:
Well we know that for a line the degrees is equal to 180 degrees to find that interior angle you will have to do
[tex]180-152\\ =28[/tex]
And we know that the interior of a triangle is equal to 180 degrees
[tex]180= 120 +5f+2+28\\180=5f+150\\30=5f\\f=6[/tex]
How many pizzas in the Venn diagram
have ham as an ingredient?
Has ham
Meat feast
Scorcher
Hawaiian
Capricciosa
Has olives
Napolitana
Veggie
Pepperoni
Margherita
Answers
According to the venn diagram, the circle surrounds four pizzas. Ham is present in Meat Feast, Scorcher, Hawaiian, and Capricciosa.
what is Venn diagram ?The Venn diagram, a frequent style of diagram showing logical connections between sets, was made popular by John Venn in the 1880s. Diagrams are used to teach fundamental set theory and to show simple set relationships in probability, logic, statistics, linguistics, and computer science. The relationships between two or more groups of elements are shown in a Venn diagram by overlapping circles and other shapes. When arranging information graphically, it is frequently advantageous to emphasize the similarities and differences between components. The intersection of two large circles forms the central empty area of a Venn diagram.
given
From the image,
ham is an ingredient in Meat feast, Scorcher, Hawaiian, and Capricciosa.
According to the venn diagram, the circle surrounds four pizzas. Ham is present in Meat Feast, Scorcher, Hawaiian, and Capricciosa.
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How do you find the three factors of a polynomial function?
Answers
Find two numbers, r and s, whose product is c and whose sum is b to factor a trinomial of the type x2 + bx + c. Rewrite the trinomial as x2 + rx + sx + c, and then factor the polynomial using grouping and the distributive property.
What is polynomial?A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Step 1: Combine the first two terms, then the last two terms. Step 2: Separately extract a GCF from each binomial. Step 3: Get rid of the common binomial. It's worth noticing that dividing our solution by itself yields the original polynomial. A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).
Here,
To factor a trinomial of the type x2 + bx + c, find two numbers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c, then factor the polynomial using grouping and the distributive property.
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Dakota and Cody sold a total of 16 items during their winter fundraising event. Cody sold four more than twice the number of items Dakota sold.
Formulate a system of equations that can be used to determine number of items Dakota sold, x, and Cody sold, y, then solve the system using substitution. Check your work by graphing.
Answers
The system of linear equation is x + y = 16 and y = 2x + 4. Dakota sold 4 items and Cody sold 12 items
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
Let x represent the number of items Dakota sold and y represent the number of items Cody sold.
Dakota and Cody sold a total of 16 items, hence:
x + y = 16
y = 16 - x (1)
Also, Cody sold four more than twice the number of items Dakota sold, hence:
y = 2x + 4 (2)
substituting y = 16 - x:
16 - x = 2x + 4
3x = 12
x = 4
y = 16 - x = 16 - 4 = 12
Dakota sold 4 items and Cody sold 12 items
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From the set {16, 20, 24}, use substitution to determine which value of x makes the inequality true
Answers
x = 16, x = 20, and x = 24 make the inequality true.
What is inequality?
In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.
To use substitution to determine which value of x makes the inequality true, we can substitute each value from the {16, 20, 24} into the inequality and see if it makes the inequality true or false.
For example, if the inequality is x < 10, we can substitute 16, 20, and 24 into the inequality to see which one makes it true:
16 < 10 is true
20 < 10 is false
24 < 10 is false
So, we can see that only 8 makes the inequality true. Therefore, x = 8 makes the inequality true.
If the inequality is x > 10, we can substitute 16, 20, and 24 into the inequality to see which one makes it true:
16 > 10 is true
20 > 10 is true
24 > 10 is true
Hence, x = 16, x = 20, and x = 24 make the inequality true.
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1. Traci is t years old. Her brother Scott is 3 years older than she is. Write an expression that represents Scott's age.
Answers
Answer:
(t + 3) years old
Step-by-step explanation:
How do you find the value of x in exponents and powers?
Answers
To find the value of x in exponents and powers, we can use logarithm.
To find the value of x in an equation involving exponents or powers, you can use logarithms. The logarithm of a number is the exponent to which a base, such as 10 or e, must be raised to equal that number. The base of the logarithm is usually written as a subscript, so log base 10 of 100 is written as log10(100).
For example, if the equation is x^3 = 27, you can use logarithms to solve the equation by taking the logarithm of both sides with the same base. log(x^3) = log(27) and by using the logarithm properties we can simplify this to 3log(x) = log(27) and then divide both sides by 3 and x = 3.
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1. Antonio sets his remote-controlled car at the start of the racetrack and starts its run on the track. His car stops 10m past the starting line. After he fixes a wheel, the car goes 2/5 the racetrack’s total distance and then stops for good. It is 38m from the starting line. How long is the racetrack? (a) Let x = the length of the racetrack. Write an equation that fits the story (b) Solve the equation from Part a. (How long is the racetrack?) Show your work. (c) How much farther did Antonio’s car have to go to the finish line? Show your work. Answer:
Answers
a) The equation that fits the story is given as follows:
2x/5 = 28.
b) The length of the racetrack is given as follows: 70 meters.
c) Antonio had to go 42 meters farther to reach the finish line.
How to obtain the length of the race track?The length of the race track is obtained applying the proportions in the context of this problem.
His car stops 10m past the starting line. After he fixes a wheel, the car goes 2/5 the racetrack’s total distance and then stops for good. It is 38m from the starting line, hence the distance driven during this entire period is of:
38 - 10 - 28 m.
28 m is 2/5 of the track length, which is going to be called x, hence the equation is given as follows:
2x/5 = 28.
The track length is then obtained as follows:
2x = 5 x 28
x = 5 x 14
x = 70 meters.
Thus the remaining distance is of:
70 - 28 = 42 meters.
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A high school student has deposited $850 in a savings account that earns interest at a rate of 2.9% compounded monthly. What will the account balance be in seven years? Round the answer to the nearest hundredths place.
$864.48
$1,041.06
$6,317.60
$9,382.32
Answers
The account balance in seven years will be $9,382.32.
What is balance?Balance in math is the idea of equal parts on either side of a given equation. The concept of balance is used in algebraic equations and inequalities where the two sides of the equation must be equal in order for the equation to be true. Balance is an important concept to learn in math, as it is used to solve many problems. Balance can also be used in geometry to understand symmetry and shapes, as well as in calculus to understand derivatives and integrals. Balance is a fundamental concept in math that can be used in a variety of ways.
This can be calculated by multiplying the initial deposit of $850 by (1 + 0.029/12)^84, which is equal to 9,382.3198.
After rounding to the nearest hundredths place, the answer is $9,382.32.
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Answer:
$1,041.06
Step-by-step explanation:
Got it right.
The measures of two angles of a triangle are 25° and 87°. Is the triangle acute, right, or obtuse? Explain.
A.
Acute; the measure of the third angle is 68°. So all three angles are acute.
B.
Acute; the measure of the third angle is 78°. So all three angles are acute.
C.
Obtuse; 25° + 87° = 112° and 112° is an obtuse angle.
D.
Right; 25° + 87° = 112° and 202°
−
-
112° = 90°.
Answers
Obtuse; 25° + 87° = 112° and 112° is an obtuse angle is the correct answer.
What is triangle?Triangle is a three-sided polygon with three angles. All the sides of a triangle are connected, forming a closed shape. Triangles come in many different shapes and sizes. The most common type of triangle is an equilateral triangle, which has three equal sides and three equal angles. Other types of triangles include isosceles, scalene, obtuse, and right triangles. Triangles are used in many different fields, including architecture, engineering, and mathematics.
The triangle is obtuse because 25° + 87° = 112° and 112° is an obtuse angle. An obtuse triangle is one in which one angle has a measure greater than 90°.
The remaining two angles are acute, meaning they measure less than 90°.
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Triangle xyz has coordinates x(2, 4), y(−3, 4), and z(−3, 1). if the triangle is translated using the rule (x, y) → (x − 2, y 1), what are the coordinates of y'? y'(–5, 5) y'(0, 5) y'(–5, 2) y'(–1, 3)
Answers
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
The given coordinates for point y are y(−3, 4). This means that the x coordinate of point y is -3, and the y coordinate of point y is 4. Applying the translation rule (x, y) → (x − 2, y + 1), the x coordinate of point y' is obtained by subtracting 2 from the x coordinate of point y, which is -3. The y coordinate of point y' is obtained by adding 1 to the y coordinate of point y, which is 4. Therefore, the new coordinates for point y' are y'(–5, 5).
The given coordinates for point y are y(−3, 4). Using the translation rule (x, y) → (x − 2, y + 1), the new coordinates for point y' will be y'(–5, 5).
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Answer:
A 5,-5
Step-by-step explanation:
Complete the table for the given rule.
Rule: y=x/2
(X over 2)
X y
X 1
X 2.5
X 3.5
Answers
Answer y = X/2
How to complete the table using y=x/2 (X over 2) rule ?
The given function is a linear function passing through Origin.
We have to Complete the table using the given rule.
y=x/2
1.→ 1= x/2
x=2
2.→ 2.5=x/2
x=5
3.→2=3.5=x/2
x=7
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simple and easy please
Answers
The exponential function that models the data is f(x) = 8(1/2)ˣ
How to write an exponential function that models the data?The general form of exponential function is given by:
f(x) = abˣ
Where a is the initial value of output variable, b is the growth or decay factor and x is the value of input variable
From the table:
when x = 0, f(x) = 8:
f(x) = abˣ
8 = ab⁰ (remember: b⁰ = 1)
8 = a
a = 8
when x = 1, f(x) = 4:
f(x) = abˣ
4 = 8 × b¹
4 = 8b
b = 4/8
b = 1/2
Thus, substituting a and b into f(x) = abˣ will give the exponential function that models the data:
f(x) = 8(1/2)ˣ
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Greatest common factor of 18, 30, 54
Answers
Answer: 6
Step-by-step explanation:
How do you calculate pixel size with FOV and matrix size?
Answers
By dividing the field of view by the matrix size, one can get the pixel size.
A single dot on the user's screen is measured in pixels. The image will be displayed on any screen by the combination of numerous spots. Pixel dimensions are the length and width of a picture expressed in pixels. to determine the field of view (FOV), matrix size, and pixel size which is generally in millimetres per pixel).
The number of pixels in the image is known as the matrix size, and FOV is commonly expressed in degrees. Using this formula, you may get the size of each pixel in millimetres by converting the FOV from degrees to millimetres and dividing it by the number of pixels.
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1.3) (7²-√81) + √125 a) 5 b) 8 c) 10 d) 4
Answers
The value of (7²-√81) + √125) is 45
What are square root and square?Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value. Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.Similarly, the square of 4 is 16 and the square root of 16 is 4.
A perfect square is a number, from a given number system, that can be expressed as the square of a number from the same number system. Therefore 4, 16, 25 are examples of perfect squares
7²-√81) + √125 is calculated as
49- 9+ 5 = 45
Therefore the value of 7²-√81) + √125 = 45
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Keisha had 2/7 of a spool of yarn. She used 4/5 of her yarn for a project. What fraction of the spool was used for the project? Write your answer in simplest form.
Answers
Answer:
8/35
Step-by-step explanation:
2/7 x 4/5 = 8/35 (that is the simplest fraction)
To make it easier to visualize, let's say someone gave you 1/2 a spool, then you use 1/2 of that 1/2. How much did you use? 1/2 x 1/2 = 1/4