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Varvara68 [4.7K]
3 years ago
11

Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest tenth.

Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

x = 16.2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 54°

Hypothenus = 20

Opposite = x =?

The value of x can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 54° = x / 20

Cross multiply

x = 20 × Sine 54

x = 20 × 0.8090

x = 16.2

Thus, the value of x is 16.2

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Elena bought a backpacking tent to take with her on hiking trips.
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Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

3 0
3 years ago
To convert 70 minutes to seconds, you would use the ratio a. true b. false
Angelina_Jolie [31]
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8 0
4 years ago
What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?
lesya [120]

Answer:

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Step-by-step explanation:

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3 years ago
Translate the sentence into an equation.
murzikaleks [220]

Answer:

9 - 5x = 7

Step-by-step explanation:

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