Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards

3 0

3 years ago

Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).

Y_Kistochka [10]

The point slope form:
$y - y_1 = m(x - x_1)$

We need to find the slope. To find the slope we can use the following formula:
$\frac{y_2 - y_1}{x_2 - X_1}$

Use the points <span>(-5, 6) and (0, 1) and plug it into our slope formula and solve:
</span> $\frac{1 - 6}{0 - (-5)}$
$\frac{-5}{5} = -1$

So our slope is -1 which means m = slope = -1
Now that we have our slope lets create the point slope form

Our point slope form equation is $y - y_1 = m(x - x_1)$ Remember
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located
$y - y_1 = -1(x - x_1)$

Next, insert the -5 from (-5,6) where $x_1$ is located and the 6 from (-5,6) where $y_1$ is located.
$y - y_1 = -1(x - x_1)$
$y - 6 = -1(x - (-5))$
Now simplify
$y - 6 = -1(x - (-5))$
$y - 6 = -1(x +5)$ <-------Answer

8 0

4 years ago

the metro train costs $6.30 round trip to ride to work each day. you work 4 days a week (16 days a month). if you can get a mont

Arlecino [84]

The first step is finding how much the metro cost to ride monthly since its a monthly pass. If she rides 16 times for 6.30 every time then you multiply them you should get 100.8. now subtract the original cost before the monthly pass to after. you should get 22.8

3 0

3 years ago