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AfilCa [17]
2 years ago
12

H 24 inches The volume of a cylinder can be found by using the formula v Bh. Which expression can be used to determine B, the ar

ea of the base of this hatbox in square inches? (24) H 82.12 J 122.8

Mathematics
1 answer:
Lelechka [254]2 years ago
6 0
The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h.  Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr².  The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12.  therefore B=12²π.

I hope this helps. 
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Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the ro
skelet666 [1.2K]

Answer:

The beam should be placed 8 feet from the center.

Step-by-step explanation:

The struts are y = √(x + 8) and y = √(x − 4).  The struts are 2 feet apart at the location of the beam:

√(x + 8) − √(x − 4) = 2

Solving:

√(x + 8) = 2 + √(x − 4)

x + 8 = 4 + 4√(x − 4) + x − 4

8 = 4√(x − 4)

2 = √(x − 4)

x − 4 = 4

x = 8

8 0
2 years ago
A table of values of a linear function is shown below.
ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
3 years ago
Re write the statement 19+7 divided by 2-5 by including one pair of brackets to make the total equal to 8
Oksanka [162]

Answer:

The solution is given below:

Step-by-step explanation:

The computation is shown below:

= 19 +  7 divided by 2 - 5

= (19 + 7) ÷ (2) - 5

= 26 ÷ 2 - 5

= 13 - 5

= 8

Hence, after solving this the value would be 8

Therefore it is equal to the 8

Hence, the given statement is true

6 0
2 years ago
Tanmayi wants to raise $160 for a school fundraiser. She has raised $130 so far. How much more does she
ohaa [14]

Answer:

$30

Step-by-step explanation:

$160-$130=$30

3 0
2 years ago
Read 2 more answers
Karl is building a rectangular garden bed. The length is 6 feet. She has 20 feet of boards to make the sides. Write and solve an
natali 33 [55]

Answer:

The width of the garden bed must be less than or equal to 4 feet.

w\leq4

Explanation:

Given that;

She has 20 feet of boards to make the sides.

The perimeter of the garden bed must not be more than 20 feet

\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}

Given;

The length is 6 feet;

l=6

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}

Therefore, the width of the garden bed must be less than or equal to 4 feet.

w\leq4

8 0
11 months ago
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