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Nutka1998 [239]
4 years ago
12

If the surface area of a can is 1406.72 cm2, and the radius is 8 cm, the height

Mathematics
1 answer:
Andre45 [30]4 years ago
5 0
Answer

h = 268.2 cm

Explanation

A can can be modelled as a cylinder.

The formula for surface area of a cylinder is:

2 • pi • r (r + h)

We know the surface area as well as the radius

1406.72 = 2 • pi • 8 (8 + h)

Rearrange to find h

1406.72/16pi -8 = 268.2 cm

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3 0
2 years ago
Find the next three sequence of 1,3, 9, 27,<br>​
Andreyy89

Answer: 81, 243, 729

Step-by-step explanation:

<u>STEP ONE: Find a pattern in the sequence</u>

3 ÷ 1 = 3

9 ÷ 3 = 3

27 ÷ 9 = 3

As we can see from the given sequence, each number multiplies 3 to get the next term.

<u>STEP TWO: Find the next three terms</u>

27 × 3 = 81

81 × 3 = 243

243 × 3 = 729

Hope this helps!! :)

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4 0
3 years ago
You are measuring the height of a Ferris wheel at an amusement
VladimirAG [237]

Answer:

154 ft

Step-by-step explanation:

A right triangle is formed, where the height of the wheel (h) is one leg,  the distance between you and the base of the wheel is the other leg, and the distance between you and the top of the wheel is the hypotenuse (the angle included between the last two sides is 51°)

From definition:

tan(51°) = opposite/adjacent

tan(51°) = h/125

h = tan(51°)*125

h = 154 ft

7 0
3 years ago
Solve #14 for x and y plsss I WILL GIVE BRAINLY
frez [133]

7x - 44 = 4x + 4

Add both sides 44

7x - 44 + 44 = 4x + 4 + 44

7x = 4x + 48

Subtract both sides 4x

7x - 4x = 4x - 4x + 48

3x = 48

Divide both sides by 3

3x ÷ 3 = 48 ÷ 3

<h2>x = 16 </h2>

______________________________

Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :

39 + t + 4x + 4 = 180

39 + t + 4(16) + 4 = 180

39 + t + 64 + 4 = 180

39 + t + 68 = 180

t + 107 = 180

Subtract both sides 107

t + 107 - 107 = 180 - 107

<h2>t = 73 </h2>

_____________________________

8y - 43 = 4x + 4 + t

8y - 43 = 4(16) + 4 + 73

8y - 43 = 64 + 4 + 73

8y - 43 = 68 + 73

8y - 43 = 141

Add both sides 43

8y - 43 + 43 = 141 + 43

8y = 184

Divide both sides by 8

8y ÷ 8 = 184 ÷ 8

<h2>y = 23 </h2>

6 0
3 years ago
A sector with a radius 7 cm has an area of 49/3 pi cm2. What is the central angle measure of the sector in degrees?
Alekssandra [29.7K]

Answer:

120°

Step-by-step explanation:

Area of a sector is:

A = πr² (θ/360°)

Plugging in values and solving:

49/3 π = π (7)² (θ/360°)

49/3 π = 49π (θ/360°)

1/3 = θ/360°

θ = 120°

7 0
4 years ago
Read 2 more answers
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