Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches. Which of the following is closest to angle F
1. 38° 2. 65° 3. 52° 4. 72°

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

The closest angle to F in the triangle is 52 degrees.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches.

We can use the tangent function to find the measure of angle F:

tan(F) = opposite/adjacent = 18/14

we can find the inverse tangent of this value:

F = tan⁻¹(18/14)

= tan⁻¹(1.28)

F= 52.15°

Hence, the closest angle to F in the triangle is 52 degrees.

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Related Questions

Olivia is preparing many gifts for a family holiday party. Each gift must either be wrapped with wrapping paper or prepared in a gift bag. Olivia can wrap a single gift in 3 minutes and she can do a giftbag in 1.5 minutes. Olivia prepared a total 14 gifts in 30 minutes. Graphically solve a system of equations in order to determine the number of gifts Olivia wrapped, x,x, and the number of giftbags she prepared, yy.

Answers

Answer:

Olivia wrapped 6 gifts and prepared 8 giftbags.

Step-by-step explanation:

Write System of Equations:

3x+1.5y= 30                                                 x+y=14

x+y=  14                                                       y=-x+14

3x+1.5y=30

1.5y=3x+30

1.5y divided by 1.5 is y

-3x+30 divided by y is -2x+20

y=-2x+20

Olivia wrapped 6 gifts and made 8 Giftbags.

What is 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. LHS = RHS is a common mathematical formula.

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:

Olivia can wrap a single gift in 3 minutes and she can do a giftbag in 1.5 minutes

Olivia prepared a total 14 gifts in 30 minutes.

let number of gifts Olivia wrapped be x.

and, number of giftbags she prepared be y.

So, the equations are:

3x+1.5y= 30 .....(1)

x+y=14

Now, plotting these equations on graph we get intersecting point of two lines which shows x= 6 and y=8.

Hence, Olivia wrapped 6 gifts and made 8 Giftbags.

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In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters and then back up a 48-meter rise. what integer represents the vertical change from the start of the ride for the coaster after the 20 seconds

Answers

This is the answer

I hope if you get it correct or right

Good luck everyone

The total vertical change from the start of the ride for the roller coaster after the 20 seconds 76 m.

What is vertical change?

The rise is the vertical difference between two points called vertical change.

Calculation for the vertical change:Step 1: Calculation for the the total rise when roller coaster goes up a 100 meter hill and the down 72 meter.

Thus, the total vertical rise will be,

100 (upward) - 72 (downward) = 28(upward)

Step 2: Calculation for the total rise after the roller coaster again goes vertical to 48 meter.

So, the total rise will become,

28(upward) + 48(upward) = 76(upward)

Therefore, the total vertical rise of the roller is 76 meter during the time of 20 seconds.

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HELPPP PLEASEEEE
enter the value that makes the equation 1/4(12x-8)+2x=-17

Answers

Answer:

x = -3

Step-by-step explanation:

1/4(12x - 8) + 2x = -17

3x - 2 + 2x = -17

3x + 2x = -17 + 2

5x = -15

5x ÷ 5 = -15 ÷ 5

x = -3

Nash uses his credit card with a 17.8% APR, compounded monthly, to pay for a cruise totaling $1,789.17. He can pay $650 per month on the card. What will the total cost of this purchase be?

Answers

Answer: 17.8% + $1.789.17 + $650 = 2439.348 or 2439

Step-by-step explanation: if you read the word problem it has a key word the key word is total.

Nash uses his credit card with a 17.8% APR, compounded monthly, to pay for a cruise totaling $1,789.17. He can pay $650 per month on the card. What will the total cost of this purchase be?

HELP MEEEEEE i dont get it my teaher didnt teach me dis??

Answers

Answer:

6

Step-by-step explanation:

because  i had the same question and the departments where 6

Answer:

Hey! I can teach you this.

The range is the distance between the highest and lowest numbers.

In this case, the lowest number is 3, and the highest is 54, making the range 54 - 3, which is 51.

Because 3 is 51 away from 54. I hope this helps you!

7.
A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and solve an equation to find the price of each shrub.


A. 4p + $17.50 = $53.50; p = $9.00

B. 4p + 17.5p = $53.50; p = $2.49

C. 4p + $17.50 = $53.50; p = $11.25

D. 4(p + $17.50) = $53.50; p = $4.00

Answers

Answer:  A. 4p + $17.50 = $53.50; p = $9.00

1:  17.50+4p=  Nothing further can be done with this topic. Please check the expression entered or try another topic.

17.5 + 4 p

2:  4p=53.50-17.50=  4p=53.50-17.50

Step-by-step explanation:  9

The total bill: $53.50

17.50 + 4 x = 53.50

4 x = 53.50 - 17.50

4 x = 36

x = 36 : 4

x = $9

Answer: The price of each shrub is $9.

...............................................................................................................................................

Answer:

$9

Step-by-step explanation:

Let   be the price of each shrub.

4 shrubs at    each costs    dollars

Potting soil is $17.50

Hence, total cost is the expression  

We know that total bill is $53.50, so we can equate it to the expression:

This equation can be solved for    to find cost of each shrub.

Solving for    gives us:

So price of each shrub is $9

Solve the following system of equations using addiction

Answers

Answer:

3x+y=13

+2x-y=12

SOlve it like what you would normally do

3x+2x=5x

y+(-y)=0

13+12=25

Basically

5x+0=25

Bring down all appropiate signs

Now solve that

5x=25

x=5

Now to find “y”

Plug in The “x”

3*5=15

15+y=13 now solve that and you’d get -2

If you plug it into the other one, it would be the same thing

2*5=10

10-y=12

-y=2

y= -2

x=5

y= -2

Write a similarity statement comparing the three triangles in the diagram
P R S Q

Answers

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

- In ΔJMK

∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

- From (1) , (2) , (3)

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

- In triangles JMK , MLK

∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

∴ ΔJMK ≈ ΔMLK ≈ ΔJLM

6р + 22 – 10
Help me please

Answers

Answer:

P = -2

Step-by-step explanation:

6p +22 =10

     -22    -22

6p= -12

6       6

p=  -2

Im pretty sure thats it.

i seriously do not understand. could someone help me?

Answers

Answer:

c, rotation

Step-by-step explanation:

where it gives you lets follow them they make a shape everything else dont matter.

The answer is rotation

PARK is a parallelogram. Find the value of x.

Answers

Answer: 40

Step-by-step explanation:

find the equation for the angle then find what x equals​

Answers

Answer:

x = 18

Step-by-step explanation:

∠ GFH and ∠ EFH form a right angle GFE , then

2x + 3x = 90 ← equation for the angle

5x = 90 ( divide both sides by 5 )

x = 18

Find the area of the figure

Answers

Answer:

A=153.94

Step-by-step explanation:

a manufacturer is designing a new container for their chocolate-covered almonds. Their original container was a cylinder with the height of 18 cm and a diameter of 14 cm. the new container can be modeled by a rectangular prism with a square base and will contain the same amount of chocolate-covered almonds. if the new container's height is 16 cm, determine and state, to the nearest tenth of a centimeter, the side length of the new container if both containers contain the same amount of almonds

Answers

Answer:

answer is 24

Step-by-step explanation:

The side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The radius of the cylinder r = 14/2 = 7 cm

The volume of the cylindrical container V = π(7)²(18) = 882π cubic cm

Let's suppose the side length is L:

Then the volume of the rectangular prism is the same as the cylindrical container:

882π = L×L×16       (h = 16 cm)

882π = 16L²  

L = 13.15 ≈ 13.2 cm

Thus, the side length of the rectangular prism with a square base is 13.2 cm if the original container was a cylinder with the height of 18 cm and a diameter of 14 cm.

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answer these please

Answers

Answer:

why shoulds i answer them?

Step-by-step explanation:

Okay okay fine i will answer them just add me first!

Compare the probability that a student will pass the test in the morning with
the probability that a student will pass the test in the afternoon. Draw a
conclusion based on your results.
A. P(pass morning) = 0.24
P(pass afternoon) = 0.41
Conclusion: A student taking the test in the morning has a greater
chance of passing it than a student taking it in the afternoon
O B. P(pass morning) = 0.24
P(pass | afternoon) = 0.41
Conclusion: A student taking the test in the afternoon has a
greater chance of passing it than a student taking it in the
morning.
O c. P(pass morning) = 0.48
P(pass | afternoon) = 0.82
Conclusion: A student taking the test in the afternoon has a
greater chance of passing it than a student taking it in the
morning.
D. P(pass morning) = 0.48
P(pass afternoon) = 0.82
Conclusion: A student taking the test in the morning has a greater
chance of passing it than a student taking it in the afternoon.

Answers

Answer: C

Step-by-step explanation:

just took the quiz

The conclusion based on the statement would be option C. Conclusion: A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We need to Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon.

The conclusion based on the statement would be;

C. P(pass morning) = 0.48

P(pass | afternoon) = 0.82

Conclusion: A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning.

Therefore, the correct option is C.

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um just testing 157x124

Answers

157x124=19,468 ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍

Answer:

Step-by-step explanation:

How many sides do 4 pentagons and 3 nonagons have in all?

Answers

Answer:

47

Step-by-step explanation:

^

Which expression is equivalent to 5(2+7)?

Answers

Answer:

I can help you but first I need the rest of the answers to find out what's it equivalent to.

The total number of cookies, y, contained in x packages can be represented by the equation y=24x. Which of the following graphs best represents this situation?

Answers

Answer: B)

Step-by-step explanation:

By checking which graph is satisfied, we choose points that the function has pass through.

First, we know that y = mx + b, where m is the slope, how the line change; and b is the y-intercept. In this equation, the slope is 24 which the line is increased. So we can eliminate the choice D, the line in D decreased.

Then we find where the first point and second point this graph will be.

When x = 0, y = 24x = 24(0) = 0, (0,24)

When x = 1, y = 24x = 24(1) = 24, (1,24)

1 package can have 24 cookies, only B have 24 cookies in 1 package.

Help me please!!!!!!

Answers

Area of semicircle: pi * r^2/2
r = 9/2 = 4.5
3.14 * 4.5^2 = 63.585/2 = 31.7925
Area of middle section:
Make it a rectangle: L * W
9 * 12 = 108
Area of bottom: L * W
6 * 9 = 54
Now add together: 31.7925 + 108 + 54 = 193.7925, round to nearest hundred
Solution: 193.79 in^2

9 x 10^7 is how many times as large as 3 x 10^3

Answers

Answer:

30000 times

Step-by-step explanation:

3 x 10^3 x 30000 = 90000000

Answer:

30000

Step-by-step explanation:

9×10^7 =90000000

also

3×10^3 =3000

divide 90000000 by 3000

=30000

Find the area. 14 m 4.5 m 4.5 m 9m 12 m 3 m 3 m

plzzz help meeee​

Answers

Answer:

52

Step-by-step explanation:

Someone please please help me on this problem

Answers

Answer:

81 Pesos

Step-by-step explanation:

Use a proportion.

$3 is to 2 Pesos as $121.10 is to x Pesos.

3/2 = 121.1/x

3x = 2 * 121.1

3x = 242.20

x = 80.7333...

Answer: 81 Pesos

What is the median of the data set? {5, 3, 4, 2, 6} Enter your answer in the box. Round to the nearest tenth.

The best answer will receive brainiest.

Answers

Answer:

4

Step-by-step explanation:

To find median, arrange the data set in ascending order. Then the middle term is the median

2 , 3 , 4 , 5 , 6

Median = 3rd term  = 4

Answer:

4 is the median

Step-by-step explanation:

From least to greatest:

2,3,4,5,6

Since the total values is odd, the middle number is the median

4 is the median

A cylindrical soup can has a diameter of 3 in. and is 6.2 in. tall. Find the volume of the can.

Answers

Answer:

b

Step-by-step explanation:

answer is B, you’re welcome

6th grade math help me pleaseeee

Answers

Answer:

3 CDs

Step-by-step explanation:

If we have $65 and buy a $23 DVD, we will have $42 left.

So how many $14 CDs can we buy with $42?

All we have to do is divide 42 into 14, so we know how many groups of $14 we can make with $42.

42 ÷ 14 = 3

Therefore, Michella can purchase 3 CDs.

what is 4836 divided by 9735829 plus 28369 times 284383?

Answers

Answer:

2.28871.0005^14

Step-by-step explanation:

Answer:

i got 8067661468.26  

Step-by-step explanation:

How many solutions does this equation have? 9z = –8 + 7z
-no solution
-one solution
-infinitely many solutions

Answers

Answer:

one solution.            

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

1. True

2. True

3. True

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