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Akimi4 [234]
3 years ago
13

Find the value of cos H rounded to the nearest hundredth, if necessary

Mathematics
2 answers:
olga55 [171]3 years ago
5 0

Answer:

0.6

Step-by-step explanation:

cos H = GH/FH

FH^2=20^2+15^2

FH^2=400+225=625

FH=25

cos H= 15/25=3/5=0.6

Iteru [2.4K]3 years ago
5 0
<h3>Answer:  0.6</h3>

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

Explanation:

Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.

a^2 + b^2 = c^2

c^2 = a^2 + b^2

c = sqrt(a^2 + b^2)

c = sqrt(15^2 + 20^2)

c = 25

The hypotenuse is 25 units long, which is the length of segment FH.

Now we can find the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(H) = GH/FH

cos(H) = 15/25

cos(H) = 3/5

cos(H) = 0.6

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Answer:

(D) 30pi inches

Step-by-step explanation:

First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.

volume = \pi r^2 h

volume = 6750 \pi~in.^3

We set the formula equal to the volume and replace h with 30 in.

\pi r^2 h = 6750 \pi~in.^3

\pi r^2 \times 30 ~in. = 6750 \pi~in.^3

Divide both sides by 30pi in.

r^2 = 225 ~in.^2

Take the square root of each side.

\sqrt{r^2} = \sqrt{225 ~in.^2}

r = 15~in.

The radius of the base is 15 in.

Now we use the radius of the base and the formula of the circumference of a circle to find the answer.

circumference = 2 \pi r

circumference = 2 \pi \times 15~in.

circumference = 30 \pi ~in.

6 0
3 years ago
Two less than a number is 10
Murljashka [212]
X-2=10
or
10=x-2
this is because it says "2 less than a number is 10" so we can infer that 2 is less than a number (x) so knowing that less than means subtract x-2=10 or you can put it as 10=x-2
4 0
3 years ago
I need help on this can you help me
miskamm [114]
Phil had 2 quarters, 1 dime and 3 pennies = 63 cents
Paul had 2 nickles = 10 cents

Total 63 + 10 = 73 cents

If Paul had 1 cent more than Phil, then Paul would have 37 cents and Phil would have 36 cents
but Paul had 10 cents 
10 cents + 27 cents = 37 cents

so 
1 quarter and 2 pennies Phil gave to Paul, total 27 cents

Answer

Phi gave Paul 1 quarter and 2 pennies.
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Four friends buy cinema tickets using this offer.
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Answer:

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6 0
3 years ago
Read 2 more answers
People pay to visit a state home: Age 16+: £18.60 Under 16: £12.80 155 people pay and 49 of these people are under 16. How much
Nesterboy [21]

Answer:

£2598.80

Step-by-step explanation:

155 people pay

49 are under 16

The number of 16+ people is: 155 - 49 = 106

Total money collected:

106 * £18.60 + 49 * £12.80 = £1971.60 + £627.20 = £2598.80

6 0
3 years ago
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