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goblinko [34]
3 years ago
7

Find the volume of given solid.plz give explaination.​

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

480 cm^3

Step-by-step explanation:

Total volume is the sum of the volumes of the 3 cuboids.

Cuboid at the bottom:

V = l×b×h

V = 12 × 5 × 4 = 240

Both on top are identical.

Their height is 10-4= 6 cm

Each has volume = 5×4×6 = 120

Total Volume = 240 + 120 + 120

= 480 cm^3

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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
(c) Evaluate P P(0). What might this stand for?
Naily [24]
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3 0
2 years ago
Can someone hep me on this
Pavel [41]
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7 0
3 years ago
204, 200,196,... find the 31st term
rewona [7]

Answer:

31st term = 84

Step-by-step explanation:

Given:

204, 200,196,...

Find:

31st term

Computation:

204, 200,196,...

First term a = 204

Difference d = a3 - a2

Difference d = 196 - 200

Difference d = -4

An = a + (n-1)d

A31 = 204 + (31-1)(-4)

A31 = 204 - 120

A31 = 84

6 0
3 years ago
Read 2 more answers
The hocky team won 63 out of 84 games what percent of the games did the team win?​
Ronch [10]

Answer:

75%

Step-by-step explanation:

To find how much percent of the team won, you have the event over the sample space.

So n(E)/n(S) = 63/84 = 3/4 = 0.75 = 75%

Feel free to comment if you have any questions! :D

6 0
2 years ago
Read 2 more answers
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