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Allisa [31]
3 years ago
13

It says to calculate the area of the sector and t round to the nearest hundredth and to use 3.14 for Pi

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Answer:

Step-by-step explanation:

The formula for the area of a sector is

A=\frac{\theta}{360}*\pi r^2 where theta is the measure of the central angle (which is the same measure as that of the arc that is intercepted by the 2 radii formig the angle), and r is the radius.

For us, theta is 90 degrees and r is 20. Filling in the formula:

A=\frac{90}{360}*(3.14)(20)^2 which simplifies down a bit to

A=\frac{1256}{4} so

A = 314 m squared

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Solve the given inequality and graph the solution on a number line.
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
A car dealership sells suv's and passenger cars. For a recent year, 90 more suv's were sold than passenger cars. If a total of 5
Lunna [17]

Answer:

300 SUVs were sold.

210 Passenger cars were sold.

Step-by-step explanation:

Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.

The total amount of vehicles sold was 510, so:

S+P=510

90 more SUVs were sold than passenger cars. In other words:

S=90+P

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

90+P+P=510

Combine like terms:

2P+90=510

Subtract 90 from both sides:

2P=420

Divide both sides by 2:

P=210

So, the 210 passenger cars were sold.

This means that 210+90=300 SUVs were sold.

And we're done!

7 0
3 years ago
What is the surface area of a triangular pyramid if each face has an area of 30 mm2?
coldgirl [10]
The answer must be 120\quad m{ m }^{ 2 } since the triangular pyramid has 4 faces and each has an area of 30 m{ m }^{ 2 } we should multiply that by 4 , so :

4\cdot 30\quad m{ m }^{ 2 }=\quad 120\quad m{ m }^{ 2 }
7 0
3 years ago
Read 2 more answers
An equation is shown below. 12 – 6(w – 3) = 3(– 5 – 3w) + 21 Enter the solution of w for this equation.
gogolik [260]
<span>Simplifying
12 + -6(w + -3) = 3(-5 + -3w) + 21

Reorder the terms:
12 + -6(-3 + w) = 3(-5 + -3w) + 21
12 + (-3 * -6 + w * -6) = 3(-5 + -3w) + 21
12 + (18 + -6w) = 3(-5 + -3w) + 21

Combine like terms: 12 + 18 = 30
30 + -6w = 3(-5 + -3w) + 21
30 + -6w = (-5 * 3 + -3w * 3) + 21
30 + -6w = (-15 + -9w) + 21

Reorder the terms:
30 + -6w = -15 + 21 + -9w

Combine like terms: -15 + 21 = 6
30 + -6w = 6 + -9w

Solving
30 + -6w = 6 + -9w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '9w' to each side of the equation.
30 + -6w + 9w = 6 + -9w + 9w

Combine like terms: -6w + 9w = 3w
30 + 3w = 6 + -9w + 9w

Combine like terms: -9w + 9w = 0
30 + 3w = 6 + 0
30 + 3w = 6

Add '-30' to each side of the equation.
30 + -30 + 3w = 6 + -30

Combine like terms: 30 + -30 = 0
0 + 3w = 6 + -30
3w = 6 + -30

Combine like terms: 6 + -30 = -24
3w = -24

Divide each side by '3'.
w = -8

Simplifying
w = -8</span>
5 0
4 years ago
a wooden board is 1.848 meters long. What is the value of the digit 4 in the number? write your answer as a decimal and as a fra
drek231 [11]
The value of 4 in 1.848 meter is 4 hundredths or 0.04. The fraction form for 4 hundredths is 4 over 100 or 1 over 25
8 0
3 years ago
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