3 years ago

What is the volume of a cone that has a height of 10 feet and a base with a diameter of 2 and half feet?

1 answer:

6 0

Volume of a cone: 1/3 $\pi$ r²h
r is the radius (diameter ÷ 2) and h is the height.

Find the radius first using the diameter: 2 $\frac{1} {2}$ ÷ 2 = 1.25

Now plug in the numbers into the formula.

1/3 $\pi$ 1.25²10 = 16.4

The volume of the cone is 16.4 cubic feet.

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Given that f(x) = x2 – 5x – 14 and g(x) = x – 7, find (f +g)(x) and

Angelina_Jolie [31]

Answer:

$(f+g)(x)=x^2-4x-21$

Step-by-step explanation:

We are given:

$f(x)=x^2-5x-14\text{ and } g(x)=x-7$

And we want to find:

$(f+g)(x)$

This is equivalent to:

$=f(x)+g(x)$

Therefore, by substitution:

$=(x^2-5x-14)+(x-7)$

Rearranging gives:

$=(x^2)+(-5x+x)+(-14-7)$

Combine like terms:

$=x^2-4x-21$

6 0

3 years ago

The area of a trapezoid is 864cm2. It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of

Zielflug [23.3K]

$\bf \textit{area of a trapezoid}\\\\
A=\cfrac{h(a+b)}{2}\quad 
\begin{cases}
a,b=\stackrel{bases}{\textit{parallel sides}}\\
h=height\\
---------\\
A=864\\
h=24\\
a=30
\end{cases}\implies 864=\cfrac{24(30+b)}{2}
\\\\\\
864=12(30+b)\implies \cfrac{864}{12}=30+b\implies 72=30+b
\\\\\\
42=b$

8 0

4 years ago

If 3x + 5 = 15, what is the value of the expression (3x + 2)(3x + 3)(3x + 4)?

Ipatiy [6.2K]

2184

You have to simplify the first equation until you get x= something.
The fill that in the x spot in the second equation.

5 0

3 years ago

Read 2 more answers

the wares want yo buy a new computer. the regular price is $1049. The store is offering a 20% discount and a sales tax of 5.25%

tia_tia [17]

Answer:

it would or might be $103.25

4 0

3 years ago

A guard in a 20m tall watchtower spots a vehicle at an angle of depression oi 25

victus00 [196]

Answer:

Solution given:

height[p]=20m

angle of depression [a]=25°

base[b]=?

we have

Tan a=p/b

tan 25=20/b

b=20/tan25

b=42.89 or 43

the tower is 43m far from the vehicle .

5 0

3 years ago