The measure of H=90°, the measure of G=80° and FG=75 feet. Find the length of HF to the nearest tenth of a foot

Answers

Answer 1

Answer:

The length of HF is 73.9 feet.

Step-by-step explanation:

Let the length of HF be represented by x. So that applying the appropriate trigonometric function to the triangle FGH, we have;

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

Where θ is the angle given in the triangle = [tex]80^{o}[/tex].

Then,

Sin 80 = [tex]\frac{x}{75}[/tex]

⇒ x = Sin 80 x 75

      = 0.9848 x 75

      = 73.86

x = 73.9

Thus, the length of HF is 73.9 feet.


Related Questions

Jason started last week with $900 in his checking account. During the week, he wrote the checks below. At the end of the week, jason recurved a paycheck for $534.59. He recorded all of these transactions in his check register. Evaluate jason’s check register. A. Jason did a good job; everything is correctly.

Answers

Answer:

D

Step-by-step explanation:

PLATO/ Edmentum

What is an example of an irrational number besides pi?

Answers

this example is irracional
0.3030030003...

An Irrational Number is a real number that cannot be written as a simple fraction. An irrational number cannot be written as a simple fraction.

7.1234 is irrational because it is a nonterminating, nonrepeating decimal.

65.4349224 is also irrational

---

hope it helps

Maria and her friends ate 5/8 of the 16 oranges that were at Maria's house. which is a reasonable answer for 5/8 x 16? please help!!

Answers

Answer:

10

Step-by-step explanation:

Multiply by 2
5(2). 8(2)
10/16
The answer is 10

someone please do this for me... i will mark brainliest. all work needs to be shown. (picture shown above)

Answers

Step-by-step explanation:

just use step by step process so dum

how do you solve (7^-1)^-1 and 5^2 * 5^4 * 5^-3

Answers

Answer:

Step-by-step explanation:

exponents raised to a - power  is an inverse function probably not the right word

       a^-b    =  1/(a^b)     example       4^-2   = 1/(4^2)     =  1/16

so   (7^-1)^-1  is a double inverse which is back to the original number  7

      inverted 7 twice

      (7^-1)^-1     = (1/7)^-1     =  1/(1/7)     =   7     trust me or use your calculator

since the coeffients are the same  just add the powers...  some exponent rule

     5^2 * 5^4 * 5^-3   = 5^(2+4-3)   = 5³

here is it written out

5^2 * 5^4 * 5^-3    = 5²  ×   5^4   ×  5^-3    =   (5×5) × (5×5×5×5)  × (1/5×1/5×1/5)

    5×5 × 5× (5×5×5  × 1/5×1/5×1/5)           (5×5×5  × 1/5×1/5×1/5)  = 1

    5×5×5    = 5³

   so

simplify to the lowest terms

Answers

Answer:

1/2

Step-by-step explanation:

divide the numerator & denominator by 4

please help thank you

Answers

Answer:

n = 18

Step-by-step explanation:

(2n) and (n + 18) are vertically opposite angles and are congruent, then

2n = n + 18 ( subtract n from both sides )

n = 18

B
A baby whale was born at the zoo. The baby
weighed 234.268 pounds. What is this number
rounded to the nearest hundredth?
a) 234.3
234:26
b) 234.26
c) 234.27
d) 234.268



Answers

Answer:

B I think hope it is right

Max is asked to prove that LM=MN Here is hs proof.

This is not a correct proof explain why

Answers

Answer:

Its not true because:

Step-by-step explanation:

if you divide by M, with M not being 0, ypu have the equation L=N which is false

If mAPW = 20°, then the measure of WPZ is

Answers

Answer:

The answer to the question is 20

Answer:angle WPZ = 70°

because angle ZPA is 90°.

So,

It's 90-20 = 70°.

Is this a proportional graph?

Answers

yes that graph is a proportional graph

If A > B, where on the number line will A appear?

Answers

Answer:

It will apear right after B and we can see it on the right side of B .


[tex] \sqrt{18} - \sqrt[x]{2 } = \sqrt{32} [/tex]
solve for x

Answers

the x is 0 There are no values of
x
that make the equation true.
Undefined

Sorry its long but ill give brainlist to the right one just look at the images and multiple choice parts

Answers

First one is 75/100 = x/80 with 60 free throws, second best is 70/100 = x/80 with 56 free throws, and last is 65/100 = x/80 with 52 free throws

What is the área of this figure? (I need the answer bc this Is due in 1 hr )

Answers

Answer: 353ft

Step-by-step explanation:

To work out what the area of this composite shape is, you would split it into two shapes; a square and a rectangle.

For the formula of the rectangle and square you would do base x height.

So,

For the square you do 13x13=169

For the rectangle you would do 23x8=184

Then to work out the total area of the two shapes you would add the two areas together.

169+184=353

Identify the slope of the graph below

Answers

Answer:

Positive

Step-by-step explanation:

Answer:

POSITIVE

Step-by-step explanation:

It's positive because the slope is rising like this /

If it was negative it would be declining like this \

hope that makes sense but I'm 1000% sure it's positive

The first equation is y = -2x + 8
and the second is
y = x - 4

Please show your work!!!

Answers

Answer:4

Step-by-step explanation:

y=-2x+8

y=x-4

Y equals the same thing so you can do equal values method

-2x+8=x-4

+2x      +2x

__________

8=3x-4

+4     +4

_______

12=3x

_____

3     3

x=4

the intercepting point is (4,0)
Explaination: Demos

Y= -6/5x-7 and y=2/5x+1

Answers

Answer:

x = -5

y = -1

Step-by-step explanation:

Y= -6/5x-7 and y=2/5x+1

then:

-6/5x - 7 = 2/5x + 1

simplify:

-8/5x = 8

divide both sides by 8:

-1/5x = 1

multiply both sides by 5:

-x = 5

x = -5

y = 2/5(-5) + 1 = -2 + 1 = -1

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,
and (6q – 9) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?

Answers

Given:

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters,

and (6q – 9) centimeters.

To find:

The expression that represents the perimeter, in centimeters, of the triangle.

Solution:

We know that, perimeter of a triangle is the sum of its all sides.

[tex]Perimeter=(6p-7)+(7p-2)+(6q-9)[/tex]

Combining like terms, we get

[tex]Perimeter=(6p+7p)+6q+(-7-2-9)[/tex]

[tex]Perimeter=(13p)+6q+(-18)[/tex]

[tex]Perimeter=13p+6q-18[/tex]

Therefore, the perimeter of the triangle is represented by the expression [tex]13p+6q-18[/tex] centimeters.

A triangle has side lengths of (6p – 7) centimeters, (7p – 2) centimeters, and (6q – 9) centimeters.

To find:

The expression that represents the perimeter, in centimeters, of the triangle.

Answer:

-18+13p+6q

(Also got it right on a test)

i can never understand these can someone help​

Answers

12/15=x/25
Cross multiply.
15x=300
x=20

Therefore, the missing side is 20.

Evaluate the following expression if x=3: x^1

Answers

Answer:

3

Step-by-step explanation:

Robert bought a pair of shoes that was on sale for 30% off
the original price of $79.95. Which is closest to the sale
price of the pair of shoes?

Answers

Answer:

The sale price of the shoes is $55.96

Step-by-step explanation:

1: 30% of $79.95 is 23.985.

Which would round to $23.99.

Then subtract 23.99 from 79.95.

79.95-23.99= 55.96

A baker has 15 cups of flour. He sets aside 4 cups of flour, and uses the rest for a cookie recipe that calls for 1/2 cup of flour. How many batches of cookies can the baker make? pls help ana2928

Answers

22 batches
15-4= 11
11 x2=22

In ΔSTU, the measure of ∠U=90°, ST = 67 feet, and TU = 14 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

A local shelter is having an Adopt-a-thon for kittens and puppies. Kittens cost $50 to adopt and puppies are $75. The shelter made $1200 during the Adopt-a-thon event and adopted off twice as many puppies as kittens. Write and solve a system to find how many puppies and kittens were adopted​

Answers

Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

Find the circumference of a circle with diameter 3 yd. use the value 3.14 for pie and do not round round the answer I’m looking for area and circumference

Answers

Area=pi *r^2 = 7.065 square yards

Circumference = pi * d = 9.42 yards

Solve for x in the diagram below.

Answers

Answer:

x = 20

Step-by-step explanation:

The sum of the two angles is 90 degrees

x+3x+10 = 90

Combine like terms

4x+10 = 90

Subtract 10 from each side

4x+10-10 = 90-10

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

Answer:

x = 20

Step-by-step explanation:

x and 3x + 10 form a right angle, then

x + 3x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Select the correct answer.
If you roll a single six-sided die, what is the probability of rolling an odd number?

A 1/6

B 1/3

C 1/2

D 3

Please help!

Answers

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

A recipe that makes 1 1/2 dozen cookies requires 3/4 cup of sugar. Shanika wants to make 6 dozen cookies. How many cups of sugar will she need

F. 1 1/8 cups
G. 4 cups
H. 6 3/4 cups
J. 3 cups

Answers

Answer:

h

Step-by-step explanation:

trust me js divide

I need help
A line that includes the point (9, 10) has a slope of -1/9 what is its equation in point-slope
form?

Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.

Answers

Answer:

y -10 = -1/9 (x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m (x-x1)

y -10 = -1/9 (x-9)

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