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sergejj [24]
3 years ago
9

A cylinder shaped drum is used to store used motor oil. The drum has a height of 3 ft and a radius of 1.5 ft.

Mathematics
1 answer:
lidiya [134]3 years ago
3 0
Data:
v (volume) = ?
h (height) = 3 ft
r (radius) = 1.5 ft
Adopting: \pi \approx 3.14

Formula:
V = h* \pi *r^2

Solving:
V = h* \pi *r^2
V = 3*3.14*1.5^2
V = 3*3.14*2.25
\boxed{\boxed{V=21.195\:cubic\:feet}}\end{array}}\qquad\quad\checkmark
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Find the image of NPQ under the translation of (x, y) + (x + 8, y + 1).
nirvana33 [79]

Answer:

Triangle KLM

Step-by-step explanation:

Firstly, we need to write the coordinates of triangle NPQ

We have this as;

(-7,-6) for N

(-4,-3) for P

(-4,-6) for Q

Now, we are going to use the given translation formula;

(x + 8, y + 1)

N’ will be (-7+ 8, -6 + 1) = (1,-5)

P’ will be (-4+ 8, -3+1) = (4,-2)

Q’ will be (-4+ 8, -6+1) = (4,-5)

Now, we need to find the triangle with the exact given transformation coordinates calculated above;

We have the triangle as;

KLM

With K as (1,-5) ; L as (4,-2) and ; M as (4,-5)

5 0
3 years ago
Please Help!!
goldenfox [79]
Question 5 is B
Question 9 is C
5 0
3 years ago
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Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio
madreJ [45]

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

4 0
3 years ago
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The quadrilaterals JKLM and PQRS are similar.
Sveta_85 [38]

Answer:

x = 2.8

Step-by-step explanation:

If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:

KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7

JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7

LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7

This shows that the ratio of KJ : QP = 5/7

KJ : QP = 2 : x = 2 / x

Therefore, \frac{2}{x}=\frac{5}{7}

cross multiply:  14 = 5x

Divide both sides by 5:  x = 2.8

8 0
2 years ago
Dan has ¾ of a cake left over from his birthday party. His best friend Amy ate 1/7 of the leftover cake. How much of the cake do
Dafna1 [17]

Answer:

  • 9/14 of cake left

Step-by-step explanation:

<u>3/4 left and 1/7 of that eaten:</u>

  • 3/4 - 3/4(1/7) =
  • (3/4) (1 - 1/7) =
  • (3/4)(6/7) =
  • 18/28 =
  • 9/14

4 0
3 years ago
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