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3 years ago

4. What is the volume of the cylinder? Express answer in terms of a (hold and

Mathematics

1 answer:

Vladimir [108]3 years ago

4 0

Given:

Base area = 4π mm²

Height = 10 mm

To find:

The volume of the cylinder.

Solution:

Base of the cylinder is circle.

Area of the base = πr²

πr² = 4π

Volume of the cylinder = πr²h

Substitute 4π in place of πr².

= 4π × 10

= 40π mm³

The volume of the cylinder is 40π mm³.

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Solve the system of equations below. <br> 5x + 2y = 9<br> 2x - 3y = 15

riadik2000 [5.3K]

Answer:

(3,-3)

y= -3

x= 3

Step-by-step explanation:

5x+2y=9

2x-3y=15

solve the equation

x=9/5-2/5y

2x-3y=15

substitute the value of x into an equation

2(9/5-2/5y)-3y=15

distribute

18/5-4/5y-3y=15

subtract -4/5 to -3

18/5-19/5y=15

subtract 18/5 from both sides

-19/5=57/5

divide both sides by -19/5

y= -3

substitute the value of y into an equation

x=9/5-2/5(-3)

distribute

x=9/5+6/5

add 9/5 to 6/5

x=3

--------

(3,-3)

--------

3 0

3 years ago

A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho

kow [346]

The rice will cost $17.6 for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be $\frac{\$ 1.99}{2}=\$ 0.995$

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

$\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}$

Therefore rice will cost $17.6 for serving 40 people

7 0

3 years ago

The answer and explanation to question 1

xxMikexx [17]

Answer:

20, 31, 33, 35, 55, 57, 58, 59, 72, 73, 79, 86, 87, 88

Step-by-step explanation:

The data set is split by digit. So 2|0 becomes 20. 5|5 becomes 55. Using this method, the data set is

20, 31, 33, 35, 55, 57, 58, 59, 72, 73, 79, 86, 87, 88

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2 years ago

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are

yuradex [85]

Ans: (6,-13)

Rationale:

Simply take your pre-image (point before applying transformation) of point B (4,-5) and apply the transformation to each point. Therefore, (x,y) = (4+2,-5-8) = (6,-13)

7 0

2 years ago

Read 2 more answers

Coach Herrera is buying tennis balls for his team he can solve the equation 4c= 92 to find how many cans c of balls he needs how

Pavlova-9 [17]

Answer:Coach Herrera needs to buy 23 cans of balls

Step-by-step explanation:You do 92 divided by 4 because c next to a number means multiply and the opposite of multiply is divide

3 0

2 years ago