Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is the approximate measure of angle F? Use the law of sines to find the answer.

11.5°
44.4°
68.0°
81.9°

Answers

Answer 1
Using the sine rule:

40/sin(90) = 28/sin(x)

These are two fractions that are equal so we can cross multiply to get:

40 x sin(x) = 28 x sin(90)

Rearranging:

sin(x) = (28 x sin(90))/40

Take inverse sine to find x (the angle)

x = sin^-1(28 x sin(90))/40)

X = 44.4° to 1dp

Lmk if anything’s unclear.
Answer 2

Answer:

44.4

Step-by-step explanation:

right on edge


Related Questions

Use the substitution method to solve the system of equations

Answers

Answer:

C. (3,2)

Step-by-step explanation:

to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.

the first choice is (2,1)

3(2) + 2(1) = 13

6 + 2 is not equal to 13. Therefore this answer choice is incorrect.

second choice (1,2)

3(1) + 2(2) = 13

3 + 4 is not equal to 13. This answer is also incorrect.

third choice (3,2)

3(3) + 2(2)

9 + 4 = 13 is true!

we can also substitute these x and y values for the equation underneath:

y = x - 1

2 = 3 - 1

2 = 2 is true! Therefore, C. (3,2) is correct!

Simplify the radical of that

Answers

Answer:

9 sqrt(d^6) thus d)

Step-by-step explanation:

4x + 7y= 60
- 4x + 7y= -4
O A. (1,0)
O B. (4,7)
O C. (8,4)
OD. (2,4)

Answers

Answer:

C. (8, 4)

Step-by-step explanation:

I graphed it

Answer:

(8,4)

Step-by-step explanation:

4x + 7y= 60

- 4x + 7y= -4

Add the two equations together to eliminate x

4x + 7y= 60

- 4x + 7y= -4

-----------------------

  14y = 56

Divide each side by 14

14y/14 = 56/14

y = 4

Now find x

4x +7y = 60

4x +7(4) = 60

4x+28 = 60

Subtract 28 from each side

4x = 60-28

4x= 32

Divide by 4

4x/4 = 32/4

x =8

Which of these statements is true for f(x) =
- (3)
A. The range of (x) is y to
B. The domain of fx) is x > 0.
C. It is always increasing
D. The graph contains

Answers

D jabalís snensoans s

The value of 32 cos ⁡ 85 ° is ____ a0. Round your answer to the nearest tenth of the number.

Answers

Answer:

2.8

Step-by-step explanation:

32cos 85≈2.8

GIVING BRAINLIEST TO PERSON AHO ANSWERS FIRST!!
match the given areas with the correct figure. all areas have been rounded to the nearest whole number. (zoom in to see answers)

Answers

Please refer to the photograph attached for the answer
Hope you find the answers correct
Sorry you will find it really small please zoom in to see the answer to this question
Sorry for the inconvenience about the small answers

someone plz help i need it in like 3 minutes

Answers

Answer:

B

Step-by-step explanation:

A: -(3/-2)=-(-3/2)=3/2

B:3/-2=-3/2

C:-(-3/2)=3/2

D:-3/-2=3/2

Which of these graphs do not represent constant rates of change? Check all that apply.

Answers

Answer:

A,D

Step-by-step explanation:

I'm taking the test

The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.

Hence, option A and option D are correct.

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will mark bianleast
Which motion does the vector show?


left 3 units and up 7 units

right 3 units and up 7 units

right 7 units and up 3 units

left 7 units and up 3 units

Answers

Left 7 units and up 3 units

Answer

7 Units left and 3 units up

Step-by-step explanation:

Rise over Run

Up 3 and to the left 7

Amar tried to evaluate an expression step by step. -2 + 5 - (-3)
= -2 + 5 - 3 1
= -2 + 2 2
= 0 3
Find Amar’s mistake.
Choose 1 answer:
Ⓐ 1
Ⓑ 2
Ⓒ 3
Ⓓ Amar did not make a mistake.

Answers

Answer:

1.

Step-by-step explanation: - (-3) should be a positive 3 when simplified. Whenever there is two negative sign in front of a number it is going to be positive.

The solution to the expression is A = 6

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the expression , we get

A = -2 + 5 - ( -3 )

On simplifying , we get

Step 1 :

A = -2 + 5 + 3

The - ( -3 ) becomes positive value and Amar made a mistake in Step 1

So , the value of A is

Step 2 :

A = -2 + 8

On simplifying the equation , we get

Step 3 :

A = 6

Therefore , the value of A is 6

Hence , the expression is A = 6

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Please answer, I need help.

Brandon decided to take his family to a water park and celebrate the end of the school year. The cost is $9.50 for parking and $15 for each person for the entire day.

a. Define the variable and write a linear equation for the situation

b. Use the equation to find the cost if Brandon has 5 members in his family

Answers

Answer: a) Cost(x) = $9.50 + $15*x

b)  $84.50

Step-by-step explanation:

a) If x is the number of members in the family, we can model this situation with a linear equation, where x is the variable.

We have:

A fixed $9.50 (this does not depend on the number of members in the family)

and $15 for each member, so the equation that represents this is:

Cost(x) = $9.50 + $15*x

b) now we have x = 5, then:

Cost(5) = $9.50 + $15*5 = $84.50

Answer:

a. y = 9.50 + 15a

b. total cost(y) = 84.5

Step-by-step explanation:

Brandon decided to take his family to a water park to celebrate the end of the school year.

The cost for parking is $ 9.50 which is a flat rate and compulsory rate for parked cars. The cost for each person is $15 .

a. The linear equation can be expressed below.  The variable required in the linear equation will be the number of people that entered the water park(a) and the total cost (y)

let

a = number of person for the entire day

total cost  = y

y = 9.50 + 15a

b. To find the cost for a whole family of 5 member can be calculated below.

Using the linear equation

total cost = 9.50 + 15a

total cost = 9.50 + 15(5)

total cost = 9.50 + 75

total cost(y)= 84.5

Find the volume of a sphere, in cubic centimeters whose radius is 3
centimeters.

Answers

Answer:

113.1

Step-by-step explanation:

V=4

3πr3=4

3·π·33≈113.09734

113.1. Hhh uhh hi Ik k mo oh hey Ik my I nu jj FM gm gm mi m

Pls do 4,5 for 7 points.

Answers

Answers:

6-5

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3

Answers

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

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Help please.....anyone

Answers

Answer:

200 dollars

Step-by-step explanation:

An object has a mass of 35.0 grams. On Anthony’s balance, it weighs 38.5 grams. What is the percent error of his balance?

Answers

Answer:

10%

Step-by-step explanation:

35 ÷ 100 = 0.35

38.5 - 35 = 3.5

3.5 ÷ 0.35 = 10%

What is this angle ?


A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.

Answers

Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)

Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)

Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.

This may be a little confusing, so don't be afraid to ask for clarification, but great luck!

Find the prime factorization: 49 i am stuck

Answers

Answer:

49 can be broken down into 7 * 7 so the prime factorization is simply 7².

Answer:

Bruhhainliest

Step-by-step explanation:

7 and 7

1 and 49

7 x 7 is the prime factorization

50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Sandra’s money box and the number of months (x):
Number of Months Amount Remaining (in $)
(x) (y)


1 50

2 45

3 40

4 35

The equation (function 2) shows the relationship between the amount of money, y, remaining in Jenny’s money box and the number of months, x:

Function 2
y = −6x + 50

Which statement explains which function shows a greater rate of change?
Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.
Function 2 shows a greater rate of change because Jenny spends $50 each month and Sandra spends $15 each month.
Function 1 shows a greater rate of change because Sandra spends $15 each month and Jenny spends $44 each month.
Function 1 shows a greater rate of change because Sandra spends $5 each month and Jenny spends −$6 each month.

Answers

Answer:

A) Function 2 shows a greater rate of change because Jenny spends $6 each month and Sandra spends $5 each month.

Step-by-step explanation:

The y-intercept for Sandra is 55 and the slope is -5. While Jenny's y-intercept is 50 and slope is -6.

6 is a greater number therefore causing Jenny's slope to decrease faster causing her to have less money at a much faster rate. (rate of change=slope) Jeny's slope is decreasing at a faster rate of change because she is spending more money everyday than Sandra is.

Hope this helps! Have a great day! :)

Answer:

The answer is A

Step-by-step explanation:

can someone help me on these 2 questions?

Answers

7. x=20

8. x=19

Step-by-step explanation:

7. The shape is a parallelogram and the angles that are labeled are opposite from each other, meaning that they are congruent. So, 4x-40=2x (and solve)

8. Same case as last time (parallelogram), and the angles labeled are congruent. So, 2x+19=3x (and solve)

Write the equation of the line with the following characteristics.

a)Parallel to y=7x+2 through the point (0,0)

b)Slope of 2 through the point (0,−3)

c)A horizontal line through the point (0,3)

d)A vertical line through the point (−2,0)

PLZZZZ HELP VERY URGENT

Answers

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

Slope-intercept form: y= mx+bParallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

y= 7x + b

Considering the given point of (0,0), to find the value of b:

0= 7*0+b ⇒ b =0

The line is:

y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

x= -2

Identify the algebraic description that maps a point (–1,5) onto another point (6, –3). Question 13 options: A) (x, y) → (x – 8, y + 7) B) (x, y) → (x – 8, y – 7) C) (x, y) → (x – 7, y – 8) D) (x, y) → (x + 7, y – 8)

Answers

Answer:

D

Step-by-step explanation:

The answer is D

-1+7, 5-8

(6, -3)


1. Graph the function

Answers

Answer:

You should use desmos graphing calculator. It really helps

Step-by-step explanation:

Which of the following is the linear parent function?
A. Fx) = x
B. Fx) =1/x
C. F(x) = |x|
D. F(x) = x^3

Answers

Answer:

A linear parent function is the equation y = x or f(x) = x. A parent function is the simplest equation of a function. Thus, f(x) = x is the simplest of all linear functions and that is the reason why it is called linear parent function

Answer:

F(x) = x

Step-by-step explanation:

A line is of the form

x to the first power

1/x is not x to the first power and makes a curve

|x| makes a v shape

x^3 is a curve

Two friends each choose a slice of pizza with one topping. The available
toppings are pepperoni (P), onions (O), meatballs (M) and sausage (S).
Write an organized list using the format (Friend 1. Friend 2) to represent
the sample space of toppings chosen between the two friends.​

Answers

Answer:

Sample space: PP, PO, PM, PS, OP, OO, OM, OS, MP, MO, MM, MS, SP, SO, SM, SS.

Step-by-step explanation:

Suppose Friend 1 select pepperoni, then Friend 2 can choose between 4 options. This gives us 4 possibilities. Then, for each selection made by Friend 1, there are 4 possibilities, given that Friend 1 has 4 different options,  the sample space consists of 16 outcomes.

what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.

Answers

Answer:

Step-by-step explanation:

r = 8 in

h = 5 in

Volume of cylinder = πr²h

                                = π * 8 * 8* 5

                                = 320π in³

Answer:

v=hpir^2

h=5

r=8

v=5pi8^2

v=5pi64

v=320pi cubic inches

Step-by-step explanation:

What is the volume of the shed?

Answers

Answer:

38 m^3

Step-by-step explanation:

The shape of the shed is a prism.

volume = area of base * height

The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.

area of base = area of rectangle + area of triangle

The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m

area of base = LW + (1/2)bh

area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)

area of base = 15 m^2 + 4 m^2

area of base = 19 m^2

height of prism = 2 m

volume = area of base * height

volume = 19 m^2 * 2 m

volume = 38 m^3

38m^3 after working it all out (took ages lol)

Find the slope of a linear function passes through the points (3,2) and (-4,1)

Answers

Answer:

1/7

Step-by-step explanation:

We can use the slope formula(k=y₁-y₂/x₁-x₂) to solve this problem

k = 2-1/3-(-4) = 1/7

−2⋅f(−6)−7⋅g(−7) = ?

Answers

Answer: +12f +49g

-2f(-6)-7g(-7)

No if your looking for the graph answer on Khan academy then it's 11

Match each quadratic function with its respective graph.

f (x) = x^2 + 6x - 5
f (x) = x^2 - 4x + 5
f (x) = -x^2 - 2x +3
f (x) = x^2 + 4x - 5
f (x) = -x^2 + 2x - 3
f (x) = x^2 - 6x + 5

Answers

The quadratic functions that fits with its respective graph are.

1). f (x) = x^2 - 4x + 5

2). f (x) = -x^2 - 2x +3

3). f (x) = x^2 - 6x + 5

Here is how it looks.

The graph has been plotted to show the graphs that corresponds to the equations.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0

The equations given are

f (x) = x² + 6x - 5

f (x) = x² - 4x + 5

f (x) = -x² - 2x +3

f (x) = x² + 4x - 5

f (x) = -x² + 2x - 3

f (x) = x² - 6x + 5

The quadratic equations are plotted to determine which graph is corresponding to which equation.

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