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2 years ago

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At Jefferson middle school 82 students were asked which sport they plan to participate in for the upcoming year. 20 students pla

n to participate in track and cross-country,six students in cross country and basketball, and a total of forty students plan to participate in cross country. Ten students don’t plan to participate in any three sports.
how many plan to particapate in cross country

1 answer:

worty [1.4K]2 years ago

8 0

Answer:

2 kids plan to do cross country

Step-by-step explanation:

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2 years ago

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A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe

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The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

$Height = 24\ in$

$Width = 28\ in$

From the center of the mirror to the floor of the wall, the distance is:

$Distance =5\frac14\ ft$

So, the distance to the top of the mirror will be:

$Top = 5\frac 14\ ft + \frac 12 \times Height$

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$Top = 5\frac 14\ ft+ \frac 12 \times 24\ in$

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$Top = 5\frac 14\times 12\ in+ 12 \ in$

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The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

$Distance = 8\ ft - 75\ in$

Convert feet to inches

$Distance = 8\times 12\ in - 75\ in$

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1 year ago

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2 years ago

Which property of equality is represented? If 4x = 16, then 16 = 4x.

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3 years ago

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Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed

lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

<u>Volume of a cylinder</u>

$\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

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Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

$\implies \sf 1715=\pi r^2 (18)$

$\implies \sf r^2=\dfrac{1715}{18 \pi}$

$\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}$

<u>Surface Area of a Cylinder</u>

$\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}$

Substitute the given value of h and the found value of r into the formula and solve for SA:

$\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)$

$\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=813.3908956...$

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

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