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cestrela7 [59]
3 years ago
10

4. (03.06 MC)

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

V = (3.14) (4 in)² (5 in)

V = 251.2 in³

Volume of a cone is:

V = ⅓ πr²h

V = ⅓ (3.14) (4 in)² (15 in)

V = 251.2 in³

The volumes are equal.

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What is 56.23 × 104 in standard form?
aleksklad [387]

Answer:

5.23×10^5

Step-by-step explanation:

You mean 56.23×10^4?

That would be 5.623×10×10^4, or 5.23×10^5

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Solve for f. 2+1.25f=10-2.75f
Harrizon [31]
f = 2

Simplify both sides of the equation <span><span>1.25f</span>+2</span>=<span><span>−<span>2.75f</span></span>+<span>10

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Subtract 2 from both sides </span><span>4f</span>=<span>8

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What must be done to sentence 3 ?
neonofarm [45]

Correct answer is B. Begin it with the words "Antarctica is".

<h3>what is Antarctica? </h3>

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6 0
1 year ago
Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

6 0
3 years ago
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A scientist needs 60 liters of a 40​% acid solution. He currently has a 20 % solution and a 50 % solution. How many liters of ea
Stella [2.4K]

percent ---------------- quantity

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acid type II 30.00% ------ 60 - x liters

Mixture 40.00% ---------------- 60

Total 60 liters

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60 x - 30 x = 2400 - -1800

30 x = 600

/ 30

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40 liters 30.00% acid type II

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