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3 years ago

Given a cone with a volume of 288 in and height 7 in find the base radius of the cone

1 answer:

5 0

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\quad 
\begin{cases}
r=radius\\
h=height\\
------\\
h=7\\
V=288
\end{cases}\implies 288=\cfrac{\pi \cdot r^2\cdot 7}{3}
\\\\\\
\cfrac{288\cdot 3}{7\pi }=r^2\implies \sqrt{\cfrac{288\cdot 3}{7\pi }}=r$

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F(x)= (x+2)^2 -1<br> Find x intercept <br> Find y intercept<br> Find vertex

Trava [24]

The x intercept occurs when y = 0.

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1=(x+2)^2

Take the square root of both sides. Note that the sqrt of 1 is 1. Then solve for x.

1=x+2
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The x intercept is -1.

The y intercept occurs when x=0.

y=(0+2)^2 - 1
y=2^2 -1
y=4-1
y=3

The y intercept is 3.

Now, to find the vertex...

This parabola is currently in a format called the vertex form, which is:

f(x) = (x-h)^2 + k

where (h, k) is the vertex.

Therefore, the vertex is (-2, -1).

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3 years ago

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timama [110]

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3 years ago

Lucy throws a fair six sided dice . so like the letter that matches the probability of the dice landing on a number between 1 an

irakobra [83]

Answer:

Letter B matches the probability.

Step-by-step explanation:

Lucy throws a fair six sided dice.

Probability of the dice landing on a number between 1 and 6 = $\frac{\text{Favorable outcome}}{\text{Number of events}}$

= $\frac{1}{6}$

On a number line fraction $\frac{1}{6}$ can be represented by,

An small section (A to B) will represent the fraction = $\frac{1}{6}$

Therefore, letter B will match the probability of a dice landing on a number between 1 and 6.

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2 years ago

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nirvana33 [79]

Hello!

$\large\boxed{\text{ slope = -3}}$

Use the slope formula to solve for the slope of the line (m):

$m = \frac{y^{2} -y^{1} }{x^{2} -x^{1} }$

We can plug in the points (0, 4) and (1, 1) to solve:

$m = \frac{1-4}{1-0}= \frac{-3}{1} = -3$

Therefore, the slope of the line is -3.

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Leokris [45]

Answer:

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2 years ago