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Gemiola [76]
3 years ago
11

In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
6 0

Answer:

Cosine F = (40 / 41)

Step-by-step explanation:

Since it's a right angle triangle, we can use

SOHCAHTOA method.

Where CAH = cosine F = adjacent / hypotenus.

Opposite (FH) = 9

Adjacent (HG) = 40

Hypothenus(FG) = 41

Cosine F = adjacent / hypothenus

Cosine F = 40 / 41

Cosine F = 0.9756

F = cos⁻(0.9756)

F = 12.68°

See attached document for better illustration on the triangle.

Nuetrik [128]3 years ago
4 0

Answer:

9/41

Step-by-step explanation:

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A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into
hodyreva [135]

Answer:

2 1/7 pieces

Step-by-step explanation:

A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Each sheet of cardboard = 2 1/2 square feet

Each smaller pieces of cardboard = 1 1/6 square feet

Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷

Each smaller pieces of cardboard

= 2 1/2 square feet ÷ 1 1/6 square feet

= 5/2 ÷ 7/6

= 5/2 × 6/7

= (5*6) / (2*7)

= 30/14

= 15/7

= 2 1/7 pieces

Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces

6 0
3 years ago
I need help with This question no links or I will report you
brilliants [131]

Answer:

Below.

Step-by-step explanation:

So let's do this Divide both sides.

equals to,

y+2>2

Cancel out equal terms.

y>0.

5 0
2 years ago
If f(x) = 3x + 10 and g(x) = 2x - 4, find (f - g)(x).
torisob [31]
<h3>Answer: Choice A)  x+14</h3>

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

Work Shown:

(f-g)(x) = f(x) - g(x)

(f-g)(x) = (f(x)) - (g(x))

(f-g)(x) = (3x+10) - (2x-4)

(f-g)(x) = 3x+10 - 2x+4

(f-g)(x) = (3x-2x) + (10+4)

(f-g)(x) = x+14

4 0
3 years ago
HELP!!!!
Nonamiya [84]
Your answer is E. $25.

First let under 12 = u, over 12 = o, and adults = a.
We can now write the equations:

2u + 3a + 3o = 174
4u + 2a = 122
a + o = 46

Because we know that a + o = 46, and 3a + 3o is in the first equation, we can multiply 46 by 3 to get what 3a + 3o equals. This makes 138.
Now we can substitute 138 into the first equation to get 2u + 138 = 174
2u = 36
u = 18

Now that we know what u equals, we can substitute it in to the second equation to get:
4(18) + 2a = 122
72 + 2a = 122
2a = 50
a = $25

I hope this helps! Let me know if you have any questions :)
8 0
3 years ago
Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 1515
alexdok [17]

Answer:

151,515 * 555 = www

Step-by-step explanation:

Yeah so basically www is the total amount of dollars they have to buy 555 tickets. And each ticket costs $151,515, so like it's the cost per ticket times the amount of tickets to get the total amount of dollars

7 0
3 years ago
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