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

Two machines are printing shirts. The first machine can produce 2,520 shirts in 180
minutes. The second machine can produce 1,440 shirts in 120 minutes. If the two
machines work together, how long will it take them to produce 6,500 shirts? If necessary,
round your answer to the nearest whole number.

Answers

Answer:

250Min

Step-by-step explanation:

1st machine = 2520 divided by 180min =14shirts/min

2nd machine =1440 divided by 120min =12 shirts/min

14 shirts/min +12shirts/min =26shirts/min

6500 shirts divided by 26shirts/min =250min

The answer is 250 minutes.

What is the rounding of decimals?

Rounding of decimals refer to the rounding of decimals to certain accuracy. Process of rounding of decimals ; put simply , if the last digit is less than 5, round the previous digit down. However, if it is greater than 5 then round the previous digit up.

Given, The first machine can produce 2,520 shirts in 180 minutes.

So, the first machine is making 2520 / 180 = 14 shirts per minute.

And The second machine can produce 1,440 shirts in 120 minutes.

So, the second machine is making 1440 / 120 = 12 shirts per minute.

If the both machines work together then both are making 14 + 12 = 26 shirts per minute.

To take them to produce 6500 shirts , both will take 6500 / 26 = 250 minutes .

Hence the answer is 250 minutes.

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11. The chess club has 50 members. They want to raise $680 for a trip to a competition. The school will give $130. How much must each member pay?

Answers

Answer:

$11

Step-by-step explanation:

Total members = 50 ,    Raised amount = $680

If school gives $130 then all the 50 members will pay the remaining amount.

Remaining amount to be paid by the 50 members = $680 - $130 = $550

50 members = $550

1 member = $550/50

1 member = $ 11 ( Answer)


The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.

Answers

Answer:

Candy=x=2.8 bags

Cookies=3+2.8=5.8 bags

Step-by-step explanation:

Price

Bag of candy=$6.00

Bag of cookies=$4

Total sales=$40

Quantity

Let cookies=y=3+x

Let candy=x

There are 3 more bag of cookies than candy sold

Total sales=price*quantity of x + price*quantity of y

40=$4*(3+x) + 6*x

40=12+4x+6x

40=12+10x

40-12=10x

28=10x

X=28/10

x=2.8 bags

If 153=2(z+z)n, then what’s is the value of 4nz+20

Answers

Answer: (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

Jennifer is organising a street party. she needs to make 300 cakes. the recipe consist of : 50g icing, 150g butter, 120g caster sugar, 110g flour, 1 egg, 5h baking powder. this makes 12 cakes. how much of each ingredient will she need? kilograms.​

Answers

Answer:

1.25 kg of icing sugar

3.75 kg of butter

3 kgs of caster sugar

2.75 kgs flour

25 eggs

125g baking powder

Step-by-step explanation:

300/12 x (weight of ingredient)

Answer:

1.25kg icing

3.75kg butter

3kg caster sugar

2.75kg flour

25 eggs

125g baking powder    

Step-by-step explanation:

Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.

300/12 = 25

25 x 50 = 1250g = 1.25kg

25 x 150 = 3750g = 3.75kg

25 x 120 = 3000g = 3kg

25 x 110 = 2750g = 2.75kg

25 eggs

25 x 5 = 125g

find four rational numbers between 2/3 and 3/4​

Answers

Answer:

17/24

Step-by-step explanation:

(a+b)÷2

a= 2÷3

b= 3÷4

=(2/3 + 3/4)÷2

=(8+9/12)÷2

=17/24

Veronica wants to check her work after evaluating -108 -(-6). What steps can she follow to verify her answer

Answers

1. Distribute the - into the -6 to get a positive 6.
2. Add -108 + 6 together
3. Get -102 as your answer!

Hope this helps :)

Answer:

Its C

Step-by-step explanation:

Examine these figures. Triangle A B C. Angle C is 108 degrees and angle B is 34 degrees. 2 lines extend from a horizontal line to form angles with measures 38 degrees, 108 degrees, and labeled 2. Choose the statement that is not true based on these diagrams. 38° + m∠2 + 108° = 180° m∠A + 108° + 34° = 180° m∠A = m∠2 m∠2 = 34°

Answers

Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2

The statement that is not true based on these diagrams will be;

⇒ m ∠A = m∠2

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Now,

Since, In Triangle ABC,

⇒ Angle C is 108 degrees and angle B is 34 degrees.

Hence, We get;

⇒ m ∠A + m ∠B + m ∠C = 180°

Substitute all the values, we get;

⇒ m ∠A + 34° + 108° = 180°

⇒ m ∠A + 142° = 180°

⇒ m ∠A = 180° - 142°

⇒ m ∠A = 38°

Thus, The incorrect statement is,

⇒ m ∠A = m∠2

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4.2 is 25% of what number

Answers

Answer:

16.8

Step-by-step explanation:

If 4.2 is 25% of a number:

25% x 4 = 100%

4.2 x 4 = 16.8

y > -1/3x -1 as a graph

Answers

Step-by-step explanation:

Is this the graph you needed??

The dots are the shaded region

Ten Points For First To Answer Correctly

34 of your books are fiction. 23 of those are historical fiction.

What fraction of your books is historical fiction?

A. 3/12

B. 1/12

C. 5/7

D. 1/2


Answers

Answer:

23/34

Step-by-step explanation:

This is guessing you only have fiction books.

Find the area of the shaded triangle.

Answers

First, you have to do 3x8, and what is 3x8, it equals 24

And then you have to divide 24 by 2, that way it would be easier for you to find the answer, so what is 24 divided by two,
It equals 12, so the answer is 12.

Please thank me and mark me as brainliest answer

The area of the shaded triangle would be 12 ft.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

Area of a triangle is 1/2 x base x height.

The base of the shaded triangle is 3 ft. the height is 8 ft.

Area = 1/2 x 3 x 8

Area = 12 square feet.

so the answer is 12.

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If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

OQ + QP= BLANK?

Fill in what you know and solve for OQ

OQ= BLANK?

Answers

Answers:

OQ + QP = OP

OQ = 11

============================================================

Explanation:

The smaller pieces OQ and QP glue together to form the larger segment OP. This is effectively what the Segment Addition Postulate says. This only works if all three points are on the same single line segment.

We know that OP is 17, so QP = 6 adds to the other unknown piece to get 17. The other piece must be 11 units long. Algebraically you could write,

OQ + QP = OP

OQ + 6 = 17

OQ + 6-6 = 17-6 ... subtracting 6 from both sides

OQ = 11

OQ is 11 if OP=17 and QP=6. This is obtained by using Segment Addition Postulate.

What is Segment Addition Postulate ?

If Q is between O and P, then OQ + QP = OP.

Find OQ + QP and OQ:

Given, OP=17 and QP=6

According to Segment Addition Postulate,

OQ + QP = OP

OQ + 6 = 17

OQ= 17-6 =11

OQ = 11

OQ + QP =17 and OQ = 11

Hence the value of OQ is 11 when OP is 17 and QP is 6.

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a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER

Answers

Answer:

64

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

A bullet exits the barrel of a gun at 625 m/s. How long does it take to
hit a target that is 2.0 km away?

Answers

Answer: 3.2 seconds

Step-by-step explanation:

Time = Distance / speed

= 2000 / 625

= 3.2 seconds

if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p = 0 are equal.

Answers

Answer:

first 0ne

Step-by-step explanation:

What is the value of n?
1339

142"
A. 470
B. 810
C 389
D. 850

Answers

Answer:

D

Step-by-step explanation:

The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.

Answer:

it is 85

Step-by-step explanation:

133+142=275

360-275=85

Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13

Answers

Solve:  2 ln 3 = ln(x - 4)

a)x = 9

b)x = 10    

c)x = 13

Answer:

x = 13

Step-by-step explanation:

To solve the problem above, we will follow the steps below;

2 ln 3 = ln(x - 4)

[using logarithm rule  aInb =  Inbᵃ]

so also our equation becomes

In 3² = In (x-4)

The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation

Our equation becomes;

3² = x- 4

9 = x-4

add 4 to both-side of the equation in other to make x subject of the equation

9 + 4 = x-4 + 4

13 = x

x = 13

Answer:

C on Edge x = 13 x =  

-4  and x =  4

the solution is x =  4

Step-by-step explanation:

I just did the assignment on edge.

How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?

Answers

Answer: approximately 10.4 feet

Step-by-step explanation:

WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)

Answers

Answer: $47.83

Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...

6% ⇒ 0.06

0.06 * $50.88 = $3.05

$50.88 - $3.05 = $47.83

Remember x = price before tax...

x = $47.83

Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?

A. 50%

B. 25%

C. 75%

D. 100%

Answers

Answer:

50%

Step-by-step explanation:

3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.

Answer:

A.50%

Step-by-step explanation:

Me. Parsons wants to build a new banister for the staircase shown. If the rise of the stairs of a building is 5 feet and the run is 12 feet, what will be the length of the new banister?

I need this to be explained

Answers

This is the answer for your question hope it is help ful

please help me out, and find the volume i don’t know how to do this, if you can please explain how to do it as well

Answers

ur gonna do : lxbxh

so :

8x5x7

the answer is 280 yd cubed

Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a 16 inch diameter. What is the area of a 16 inch pizza?

Answers

Answer:

≈201 in²

Step-by-step explanation:

Area= π×r²= π×d²/4Area of 16 in pizza= π×16²/4= 3.14× 256/4 ≈201 in²

Answer:

201 in²

Step-by-step explanation:

Hope this helps! :)

Identify a transformation of the function f(x) = sqrt(x) by observing the equation of the function g(x) = sqrt(x) + 1

Answers

Answer:

up 1

Step-by-step explanation:

The plus one is on the outside so it is up the number which is one


A number c minus 3.4 is less than 14. Write this word sentence as an inequality.

An inequality is _____

Answers

Answer:

c-3.4<14

Step-by-step explanation:

We translate the words into an inequality. A number, C, minus 3.4 is less than 14.

c-3.4<14

Divide the following quantiles in the given ratio £100 1:3 £80 3:5 £250 2:3:5

Answers

Answer:

Step-by-step explanation:

a.

£100

1:3

1+3=4

1/4×£100

=£25

3/4×£100

=£75

b.

£80

3:5

3+5=8

3/8×£80

=£30

5/8×£80

=£50

C.

£250

2:3:5

2+3+5=10

2/10×£250

=£50

3/10×£250

=£75

5/10×£250

=£125


What is the equation of the line that contains (-5,1) and has a slope of 4
PLEASE HELP

Answers

Answer:

y=4x +21

Step-by-step explanation:

During 14 spins, a spinner landed on blue 4 times. If you spin the spinner once, what is the experimental probability that it will land on blue?

Answers

Answer:

2/7

Step-by-step explanation:

Since 4 out of 14 times it landed on blue, it must have a 4/14 experimental probability of 4/14 for landing on blue.  4/14 simplifies to 2/7.

Subtract negative 24 from 11.

Answers

Answer:

-35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

11-(-24)

35

brianliest please

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