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andreev551 [17]

3 years ago

6

guests at an amusement park must be at least 48 inches tall to be able to ride the bumper cars. which graph represents the set o

f heights in inches that satisfy this requirement

2 answers:

quester [9]3 years ago

8 0

Answer:

C is the answer

Step-by-step explanation:

just took the quiz

brainlest please

julsineya [31]3 years ago

8 0

Answer: c

Step-by-step explanation:

Took i

the test

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A new car purchased for $27,000 loses 15% of its value each year.

Lady_Fox [76]

Multiply 27,000 x .85 (percentage of remaining value after 15% loss) raised to the 5th power (number of years) to get the answer

the value of the car in five years will be <span>$</span>11,980.04

5 0

3 years ago

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Find V when l = 6ft, w= 3ft, and h= 9ft.

dolphi86 [110]

Answer:

162

Step-by-step explanation:

V = L X W X H

V = 6 X 3 X 9

6 times 3 is 18

V = 18 X *

18 times 9 is 162

V = 162

hope this helped :D

6 0

3 years ago

You have a 1200-foot roll of fencing and a large field. you want to make two paddocks by splitting a rectangular enclosure in ha

romanna [79]

Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985

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3 years ago

Determine whether the data described are qualitative or quantitative. The maximum speed limit on interstate highways.

dalvyx [7]

The answer is B: Quantitative

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3 years ago

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where <em>r</em> is the radius and <em>h</em> is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

$\displaystyle V=\pi r^2h$

Since <em>r</em> = 1.2 and <em>h</em> = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

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3 years ago

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