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attashe74 [19]
3 years ago
14

A cylinder has a volume of 371.776 cubic centimeters. The diameter of the cylinder is 8 cm. What is the height of the cylinder?

(Assume = 3.14)
Mathematics
1 answer:
ozzi3 years ago
4 0

Cylinder volume formula:

V=πr^2h

Substitute given values into the formula

Note: use 3.14 for pi

Diameter is twice the radius, so if diameter is 8 then radius is 4

371.776 = (3.14)(4^2)h

Use h for height because we don't know the height

Okay, so let's try to get the h by itself on the left side of the equation

So begin by getting rid of 3.14 by dividing it by both sides

371.776/3.14 = 118.4

3.14/3.14 = 1 (don't put 1, just remove the 3.14 from the right side)

So now we have:

118.4 = 4^2(h)

Now we can get rid of 4^2

Start by actually squaring it and then divide it from both sides

118.4 = 16(h) (4^2 = 16)

118.4/16 = 7.4

16/16 = 1 (dont put 1, just drop it)

So now we have

7.4 = h

Now we have h by itself! So h = 7.4

let's  test it by putting it in the cylinder volume formula

V = πr^2h

371.776 = (3.14)(4^2)(7.4)

371.776 = (3.14)(16)(7.4)

371.776 = 50.24(7.4)

371.776 = 371.776

7.4 is your answer, if you have any questions, feel free to ask

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yanalaym [24]

Answer:

a^2 - b^2 = (a+b)(a-b) where a = X and b = 6

(X+6)(X-6)

Hope this helps(:

Step-by-step explanation:

5 0
3 years ago
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0
3 years ago
Match each mathematical expression with its simplified form.<br> (2 +9+4)<br> (3 + 1 + 4 + 8)
katen-ka-za [31]

Answer:

15 and 16

Step-by-step explanation:   To get simplified form, you add the numbers in parentheses together. (2+9+4)= 15 and (3+1+4+8)=16

For problem 1. 2+9=11  11+4=15

For problem 2. 3+1=4    4+4=8   8+8=16

Hopefully this helped, and please add me as brainliest.

8 0
3 years ago
Page !
ANTONII [103]

Answer:

19 orders of tea

57 orders of collee

Step-by-step explanation:

find 1/4 of the 76

76/4=19

multiply by 3

19x3=57

8 0
3 years ago
The claim is that the standard deviation of the speeds of drivers in Bradford is 8 mph. An experienced driver feels that this is
Irina-Kira [14]

Answer:

Null hypothesis is rejected. Standard deviation is > 8 miles per hour

Step-by-step explanation:

σ [Population standard deviation] = 8 , s [sample standard deviation] = s

n [no of items] = 8

H0 [Null] : σ = 8 ; H1 [Alternate - Right Tail] : σ > 8

χ2 = (n - 1) . s^2 / σ^2

= 49 x (10.5)^2 / 82 = 5402.25 / 64

χ2 = 84.410

df [degree of freedom] = n -1 = 50 - 1 = 49

P value (χ^2 49 > 84.410) = 0.00125

p = 0.0013

p < α ie 0.05

So, H0 is rejected

Hence we state that standard deviation is > 8 miles per hpur

6 0
3 years ago
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