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loris [4]
3 years ago
6

Find the value of each variable.​

Mathematics
1 answer:
Setler [38]3 years ago
5 0

Answer:

It's b:  a  = 10√3, b = 5√3 , c = 15 and d = 5.

Step-by-step explanation:

We have two 30-60-90 triangles here so the sides are in the ratio 2:1:√3.

Consider the small triangle whose hypotenuse is 10:

1/2 = d/10

d = 10/2 = 5.

b / 10 =  √3 /2

b =  10√3/2 = 5√3.

Now, the larger triangle to the left:

2 / 1 =  a /  5√3

a  = 10√3.

2 / √3 =   10√3 / c

c =  30/2 = 15.

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Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches. In two rolls, what is the
Katen [24]

Answer:

The area of the wall that she will paint in two rolls is <u>219.8 inches²</u>.

Step-by-step explanation:

Given:

Jenny uses a roller to paint a wall. The roller has a radius of 1.75 inches and a height of 10 inches.

Now, to find the area of the wall that she will paint in two rolls.

So, we find the lateral surface area of roller.

Radius (r) = 1.75 inches.

Height (h) = 10 inches.

So, to get the lateral surface area we put formula:

A_{L} =2\pi rh

A_L=2\times 3.14\times 1.75\times 10

A_L=109.9\ inches^2.

Thus, the lateral surface area of the roller = 109.9 inches².

Now, to get the area of wall that she will paint in two rolls we multiply 2 by the lateral surface area of the roller:

109.9\times 2\\\\=219.8\ inches^2.

Therefore, the area of the wall that she will paint in two rolls is 219.8 inches².

3 0
3 years ago
Read 2 more answers
At a certain company, 64.5% of the employees have engineering degrees. Express this percent as a decimal
Verdich [7]

At a certain company, 64.5% of the employees have engineering degrees.

To express the percentage as a decimal we need to remove the % symbol.

To remove % symbol we always divide by 100

When we divide by 100 we move the decimal point two places to the left.

64.5 =\frac{64.5}{100}  = 0.645

The decimal vale of 64.5% is 0.645

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3 years ago
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3. Six less than twice a number is 17. Which equation could be used to determine the
Usimov [2.4K]

Answer & Step-by-step explanation:

n represents our number. So, twice a number would be 2n because twice means multiply by two.

When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.

FInally, the problem says that all of this equals 17 so 17 would be the result.

So, you answer is 2n-6 = 17. This is answer choice B.

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Answer:

. . . . . . . . . . . . .Loading answer. . . . . . . . .

Step-by-step explanation:

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3 years ago
Solve the system <br> {f (x) = 2x-1<br> {g (x) = x^2-4
Murrr4er [49]

Answer:

2 sets of possible solutions:

x=3, y = 5

and

x=-1, y = -3

Step-by-step explanation:

Using the graphical method, (see attached)

you can graph both equations and find their intersection points.

From the attached plot, you can see that the graphs intersect at (3,5) and (-1,-3)

Alternatively, you can solve this numerically by solving the following system of equations. You will get the same answer.

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