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Natali [406]
3 years ago
7

14. Find the height of a cylinder if the surface area is 408.41 square inches and the radius is 5

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

Height is 8.0in

Step-by-step explanation:

Surface Area of a cylinder = 2πr(r+h)

r is the radius

h is the height of the cylinder

Given surface area = 408.41in²

radius = 5in

h = ?

Substituting the given value into the formula

408.41 = 2π(5)(5+h)

408.41 = 50π + 10πh

408.41 = 50(3.14)+10(3.14)h

408.41 = 157+31.4h

408.41-157 = 31.4h

251.41 = 31.4h

h = 251.41/31.4

h = 8.0in

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Mrs. Jones bought 6 kilograms of rice. After filling 10 containers with the same
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There are 514 gram rice in each container.

Step-by-step explanation:

Given,

Amount of rice = 6 kg

1 kg = 1000 g

6 kg = 6*1000 = 6000 g

Number of containers  = 10

Rice left = 860 g

Let,

x be the amount in each container.

Total amount of rice - Number of containers*Amount in each container = Amount of rice left

6000-10x=860\\6000-860=10x\\5140=10x\\10x=5140

Dividing both sides by 10

\frac{10x}{10}=\frac{5140}{10}\\x=514

There are 514 gram rice in each container.

Keywords: linear equation, division

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3 years ago
20.) Marc had to walk to the grocery store which was exactly 50 meters from his house. So far he has walked exactly 21 meters. W
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Marc has walked 42 % of the journey

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Marc has walked for 21 meters

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5 0
1 year ago
show that the sum of the x- and y- intercepts of any tangent line to the curve sqrt(x) sqrt(y) = sqrt(c) is equal to c.
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The answer is <span>√x + √y = √c </span>
<span>=> 1/(2√x) + 1/(2√y) dy/dx = 0 </span>
<span>=> dy/dx = - √y/√x </span>

<span>Let (x', y') be any point on the curve </span>
<span>=> equation of the tangent at that point is </span>
<span>y - y' = - (√y'/√x') (x - x') </span>

<span>x-intercept of this tangent is obtained by plugging y = 0 </span>
<span>=> 0 - y' = - (√y'/√x') (x - x') </span>
<span>=> x = √(x'y') + x' </span>

<span>y-intercept of the tangent is obtained by plugging x = 0 </span>
<span>=> y - y' = - (√y'/√x') (0 - x') </span>
<span>=> y = y' + √(x'y') </span>

<span>Sum of the x and y intercepts </span>
<span>= √(x'y') + x' + y' + √(x'y') </span>
<span>= (√x' + √y')^2 </span>
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3 years ago
At the market, 8 apples cost $4.<br> How much do 9 apples cost?
11111nata11111 [884]

Answer:

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Step-by-step explanation:

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3 years ago
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