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natali 33 [55]
3 years ago
7

Find the solution of this system of equation 8x-4y=-32 -3x 4y=42

Mathematics
1 answer:
Art [367]3 years ago
3 0
What are the answers?

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4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C.
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The other line extends slightly down and to the right to point E
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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol
Zigmanuir [339]

Answer:

672\pi \text{ cm}^3.

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.      

We will use volume formula of sphere to solve our given problem.

\text{Volume of sphere}=\frac{4}{3}\pi r^3, where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3

\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3

\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3

\text{Difference of volumes}=4\pi(168)\text{ cm}^3

\text{Difference of volumes}=672\pi\text{ cm}^3

Therefore, the difference between volumes of the spheres is 672\pi \text{ cm}^3.

3 0
3 years ago
A group of individuals were surveyed about their plans for vacation. There were 21 individuals who said they were going to the d
Alexeev081 [22]

Answer:

140 individuals were surveyed

42 people are planning on going to the mountains

Step-by-step explanation:

The question is missing the information regarding the percentage of people who said that they were going to each of the possible destinations. After a quick google search I've found that, in the original question, 32% of individuals were going to the beach, 15% to the desert, 23% to major cities, and 30% to the mountains.

If 21 people said they were going to the desert, and that corresponds to 15% of the total number of people surveyed, the number of people surveyed is:

21=n*0.15\\n=140\ individuals

140 individuals were surveyed

Since 30% responded "the mountains", the number of people planning on going to the mountains is:

m = 140*0.30\\m=42\ people

42 people are planning on going to the mountains

3 0
3 years ago
What are the special right triangle measures?
erik [133]
The hypotenuse is 2x, the base is x*sqrt(3) and the left base if x
5 0
3 years ago
Triangle VDG- triangle VNQ <br> What is the value of x? <br> Enter your answer in the box.
AleksAgata [21]

Question:

The image of the question is attached below.

Answer:

x = 40

Solution:

Given ΔVDG \sim ΔVNG.

DG = 207, NQ = 138, GQ = 60, QV = x

In two triangles are similar, then the measures of the corresponding sides are in proportional to each other.

$\Rightarrow\frac{DG}{NQ}=\frac{GQ}{QV}

$ \Rightarrow\frac{207}{138}=\frac{60}{x}

Do cross multiplication, we get

$ \Rightarrow{207\times x}=138\times60

$ \Rightarrow{207\times x}=8280

$ \Rightarrow{207x}=8280

Divide by 207 on both sides of the equation, we get

$ \Rightarrow\frac{{207x}}{207} =\frac{8280}{207}

$ \Rightarrow x =\frac{8280}{207}

⇒ x = 40

⇒ QV = 40

Hence the value of x is 40.

3 0
3 years ago
Read 2 more answers
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