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kiruha [24]
3 years ago
15

A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square

inches. What is the volume of the speaker in cubic inches?
A) 22 in.3
B) 198 in.3
C) 66 in.3
D) 33 in.3
Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

<u>The correct answer is A. 22 inches ³</u>

Step-by-step explanation:

Let's recall that the formula of the volume of a triangular pyramid:

Volume = 1/3 * Area of the base * height

Replacing with the values we have:

Volume = 1/3 * 11 inches² * 6 inches

Volume = 66/3

Volume = 22 inches ³

<u>The correct answer is A. 22 inches ³</u>

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now, "x" is how many gallons to paint the larger room with only one coat, however, the larger room uses 2 coats, so, the larger room uses 2x of paint
now, the client declined to paint the smaller one

so hmmm as I read... well, we dunno how many coats will go to the smaller room for one, we know the larger will use 2 coats, or 2x.. if we assume the smaller room was going to use say 1 coat or 1/2x

then one can say the painter bought enough for both rooms, 1coat for the small one and 2coats for the larger one

so, the paint the larger room, you'll 2x of paint, for 2coatsand to paint the smaller room, you'll need 1/2 x, because x gallons is how much is needed for the larger room, but the larger room is twice as big, thus the smaller room uses 1/2 of that in gallons

thus, with those assumptions, that the small room will use only 1 coat
\bf \cfrac{1}{2}x+2x=8\implies \cfrac{5x}{2}=8\implies x=\cfrac{16}{5}
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now, the client decides to skip the smaller roomso, the painter will only need 2x gallons then

\bf 2x\implies 2\cdot \cfrac{16}{5}\implies \cfrac{32}{5}\implies 6.4\ gallons

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3 0
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Answer:

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Step-by-step explanation:

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4 0
4 years ago
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8 0
3 years ago
When Stretch Gordon signed a contract to play basketball for the Toronto Raptors, he received a one-time $250 000 signing bonus.
creativ13 [48]

Answer:

Here's what I get  

Step-by-step explanation:

Stretch

(i) The equation

E = 250 000 + 100 000n

(ii) Variables

n = the number of games played

E = Stretch's total earnings in dollars

(iii) Constants

$250 000 = Stretch's signing bonus

$100 000  = the money earned for each game.

\begin{array}{ccc}\textbf{Games played} & \textbf{ Earnings/}\mathbf{\$}&\textbf{Earnings/}\mathbf{\$10^{6}} \\20 & 2 350 000 &2.35\\40 & 4 250 000&4.25 \\60 & 6 150 000 &6.15\\80 & 8 050 000&8.05 \\\end{array}

The graph shows how Stretch's total earnings vary with the number of games played.

(iv) Total earnings after 44 games

\begin{array}{rcl}E & = & 250000 + 100000n\\& = &250000 + 100000(44)\\& = &250000 + 4400000\\& = & \mathbf{4 650 000}\\\end{array}

Rory

E = 95 000n + 450 000

Rory's deal is better than Stretch's if they play fewer than 40 games.  

He starts off with a bigger signing bonus, but Stretch earns more money per game.

Stretch closes the gap with each game played.

By 40 games they have the same total earnings.

After 40 games Stretch has more total earnings.

 

8 0
3 years ago
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