In ΔGHI, the measure of ∠I=90°, the measure of ∠G=5°, and IG = 57 feet. Find the length of GH to the nearest tenth of a foot.

Answers

Answer 1

Answer:

x = 57.2 ft

Step-by-step explanation:

cos 5° = 57/x

0.9962 = 57/x

x = 57.2 ft


Related Questions

please help just tell me what they did wrong

Answers

Answer:

Step-by-step explanation:

If a point (x, y) is dilated by a scale factor of k, coordinates of the image point will be (kx, ky).

Rule that defines the dilation,

(x, y) → (kx, ky)

From the graph attached,

Coordinates of point A → (-4, 2)

Coordinates of image point A' → (-8, 4)

By the rule of dilation given,

A(-4, 2) → A'(-4k, 2k)

Since, A'(-4k, 2k) = A'(-8, 4)

Therefore, -4k = -8 ⇒ k = 2

1). Mistake in the answer → A is the preimage and A' is the image

   While A has been used as image and A' as preimage.

2). Always use the rule of dilation A(x, y) → A'(kx, ky)  

   Here, A and A' are the preimage and image points respectively.

   And 'k' is the scale factor by which point A has been dilated to form image point A'.

How many degrees is a full circle

Answers

Answer:

360 degrees is a full circle.

f) –5 – 3( x + 1 ) = –( –4x + 1)​

Answers

Answer:

x = - 1

Step-by-step explanation:

Given

- 5 - 3 (x + 1) = - (- 4x + 1) ← distribute parenthesis on both sides

- 5 - 3x - 3 = 4x - 1

- 3x - 8 = 4x - 1 ( subtract 4x from both sides )

- 7x - 8 = - 1 ( add 8 to both sides )

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Solve with substitution. Show each step of your work

4x + y = 12
6x + 2y = 18

Answers

4x + y = 12
Get y by itself
Subtract 4x
y = -4x + 12

Since you know what y is, you can plug the value into the second equation

6x + 2(-4x + 12) = 18
6x - 8x + 24 = 18
-2x = -6
x = 3

Plug the value 3 into x for y = -4x + 12 in order to find y
-4(3) + 12 = y, y = 0

Solution: x = 3, y = 0

Line perpendicular to y=2x+8

Answers

For a line to be perpendicular, their slopes must be reciprocals. So, a line perpendicular to y=2x+8 is y= -1/2 x +8

Rowenas new kitten weights 12 times as much as her hamster. The conbines weight of the kitten and thw hamster is 468 grams. What is the weight of the kitten

Answers

Answer: 36

Step-by-step explanation: 36x12=432

432+36=468

Question 4 of 10
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 5 and y-intercept at (0, -3)?
A. y=-3x + 5
B. x = 3y-5
C. y= 5x + 3
O D. y = 5x - 3

Answers

Answer:

d. y=5x-3

Slope-intercept form is y=mx+b.

m= slope

b= y intercept

so, m=5 and b= -3

Substitute with those values and then you have the equation.

Its D or C but most likely D bc of the -3

Valley Elementary School has a running track that is mile long. Ten students
keep track of the distance they run each day. The distances the 10 students ran
on Monday are shown in the line plot.
X
X
2 23 24 23 22 23 22 21 3 31 32
Distance Run (miles)
How many laps were run by the student who ran the shortest distance?

Answers

16

sry im late

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

Answer:

16!!

Step-by-step explanation:

I got it right on my major test for the year!

calcule⁴√-16 respondam certo​

Answers

Answer:

4i

Step-by-step explanation:

I calculate the square root of -16 and I got 4i

Answer:Explanation:2×2×2×2=16

2^{4} =4

so answer is4

Step-by-step explanation:Simplify the radical by breaking the radicand up into a product of known factors, assuming

In an examination, a student has to secure 40% marks to pass. Rahul gets 178 marks and fails by 32 marks. What are the maximum marks? Please explain in step-by-step procedure.

Answers

Answer:

210

please I beg of you if I'm wrong tell me I will try it out again it is just that I've never come across such a question so I just had the idea to try it have a good day.

eileen spent 75 cents of her dollar at the market. how much money does she have left ???

Answers

Answer:

25 cents

Step-by-step explanation:

In perspective, that's 0.25 of her dollar left

Can anybody help me please

Answers

Step-by-step explanation:

I think you are clear. You can follow me to get more answers. Thanks.

PLEASE HELP ASAP. I NEED TO KNOW NOW
Detemine which equation has the same solutions as the equation below.

4x^​2+32x-28=0

Answers

Answer:

the answer is x1 = -4- square root of 23 x2= -4+ square root of 23

A system of equations is shown below.

x+y=5

73 +8y= 37

Which of the following are valid first steps in an algebraic method to solve the system of equations?

Answers

Answer:

the answer is C

Step-by-step explanation:

hope it helped!!!

The axis of symmetry for a certin parabola is x=-3

The vertex is (?,5) find the value of ?.

Answers

Answer:  (3,5)

Step-by-step explanation:

When having the same radius and height what fraction of a cylinder have the same volume as one cone?

Answers

Answer:

1/3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius  

h = height

If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100

the capacity of a cone is 1/3 that of a cylinder

Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16

Answers

Answer:

[tex]x=4,\:x=0[/tex]

Step-by-step explanation:

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(x-2\right)^2}{4}=\frac{16}{4}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex](x-2)^{2} =4[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=4,\:x=0[/tex]

Tell me if it's censored since my wifi is terrible.

which representation does NOT show y as a function of x

Answers

C does not show y as a function of X

Evacuate 8+ W/4 when W equals 16

Answers

Answer:

12

Step-by-step explanation:

8+16/4

8+4

The M.A.T.H. Company has a savings plan for their employees. If an employee makes an initial contribution of $2500
and the company pays 7.5% interest compounded weekly, how much will the employee have after 10 years?
Show work

Answers

Answer:I don’t have a calculator that can do this with me, but just type what I wrote in the step by step section into the calculator

Step-by-step explanation:

2500(1+(0.075/52))^(52•10)

Bc the formula is initial amount(1+(rate of interest/times compounded each year))^(times compounded each year• years)

The chorus at an elementary school is made up on fifth and sixth graders. This year, the chorus had 12 fifth-grade girls, 9 fifth-grade boys, 14 sixth-grade girls, and 10 sixth-grade boys.



Find the following ratios:

a. The ratio of boys to girls

b. The ratio of fifth graders to sixth graders

c. The ratio of girls to the total number of students in the chorus

Answers

Answer:

A: 19:26 B:7:8 C:26:45

Step-by-step explanation:

Question A

First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,

Boys

9+10=19

Girls

12+14=26

Now that you have the total number of boys and girls you make this ratio,

19:26

That is the final answer

Question B

For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,

Fifth Graders

12+9=21

Sixth Graders

14+10=24

Now that you have the total number of both of the different grades you make this ratio,

21:24

You can simplify this by finding the lowest common factor which would be

7:8

Question C

To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.

Girls

12+14=26

All

12+9+14+10=45

Now with the total number of both you will form a ratio

26:45

This is your final answer because you cant simplify this any further

7. A survey showed that 55% of a travel company's customers were planning an
overseas vacation the following year. Predict how many of the travel company's 12.400 travelers will vacation
overseas the following year.

Answers

Answer:

It is just .55*12,400

Step-by-step explanation:

thats literally all it is

Answer:

If you Meant (12,400) then around 6,820 planned to travel again

Step-by-step explanation:

URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

Given that,

Perpendicular = 17 units

Hypotenuse = 25 units

We need to find the value of x.

Using Pythagoras theorem to find x.

Hypotenuse² = base²+perpendicular²

25² = x² + 17²

x = 18.3 units

So, the value of x is equal to 18.3 units. No, the sides do not form a Pythagorean triplet.

A television that has a regular price at $999 is on sale this week for $799. By what percent did the price of the television decrease? What proportion would you use to solve this problem?
A Difference over Original - 100 over x%
B $799 over $999 = x% over 100
C $200 over $999 = x% over 100
D Difference over Total = x% over 100​

Answers

Answer:

C. $200 over $999 = x% over 100

Step-by-step explanation:

200/999 = 0.2002002002 about 20%

that's how much it decreases since they have a difference of 200.

a^2+b^2= 70?
what is a and b?

Answers

Answer:

a= (square root symbol) 70-b^2

b= (square root symbol) 70-a^2

Step-by-step explanation:

i used m athway :)

Wsg Katara I missed you Fr, everything been going alright? Hit me up when you get the chance.

this dot plot is symmetric and the data set has no extreme values what is the best measures of center for this dot plot

Answers

Answer:

Step-by-step explanation:

all i know is that it is not the IQR maybe its the MAD but im not sure

Answer:

It's B

Step-by-step explanation:

I took the test and I got it right. No problem :D

rlly EZ PTS JUST do the first 1 and ty

Answers

Answer:

This is a rational expression

Alison paid $285 for 5similar DVDs and 9similar CDs. Janice paid $225for5similarDVDs and 5 similar CDs. How much did Suzy paid for 5 similar DVDs and six similar CDs

Answers

Answer:

$240

Step-by-step explanation:

this would be solved using simultaneous equation

let c = cost of cds

d = cost of dvds

two equatiions can be derived from the question

5d + 9c = 285 eqn 1

5d + 5c = 225 equation 2

subtract equation 2 from 1

4c = 60

c = 15

substitute for c in eqn 1

5d + 9(15) = 285

5d = 150

d = 30

5(30) + 6(15) = 240

Write a system of linear inequalities represented by the graph. 20 pts!

Answers

Answer:

inequality 1:/

Step-by-step explanation:

please click the heart and rate excellent and brainleist to

helpp plzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

jhgydghv f yf

Step-by-step explanation:

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