Please help! (Number 15)

Mathematics

2 answers:

Brrunno [24]3 years ago

6 0

Lateral, means 'side'. So basically they want us to find out the surface area of the can, excluding the top and the bottom.

To solve for the lateral surface area, we multiply the height of the paint can by the circumference of the top circle. We know the height is 7 1/2 in but we need to solve for the circumference.

C=πd
C=6 5/8π in

Surface Area=7 1/2*6 5/8π=49 11/16π in² or 156.097in²

Answer= 49 11/16π in² or 156.097in²

vichka [17]3 years ago

4 0

First you find the radius. Pi r squared. Then you multiply the radius by the height

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An astronaut on the moon throws a baseball upward. The astronaut is 6 ft 6 in tall, and the initial velocity of the ball is 40 f

weqwewe [10]

Answer:

t = 0.293 s and 14.52 s

Step-by-step explanation:

The heights of the ball in feet is given by the equation as follows :

$S = -2.7t^2+40t+6.5$

Where t is the number of seconds after the ball was thrown.

We need to find is the ball 18 ft above the moon's surface.

Put S = 18 ft

$-2.7t^2+40t+6.5=18\\\\-2.7t^2+40t=18-6.5\\\\-2.7t^2+40t-11.5=0$

It is a quadratic equation. Its solution is given by :

$t=\dfrac{-40+\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)},\dfrac{-40-\sqrt{40^{2\ }-4\left(-2.7\right)\left(-11.5\right)}}{2\left(-2.7\right)}\\\\t=0.293\ s,14.52\ s$