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Anestetic [448]
3 years ago
12

What is the area of a semicircle that has a radius of 30 feet

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

A = 1413.72 unit²

Step-by-step explanation:

area of a semicircle formula: <em>A = (πr²)/2</em>

To find the area of a semicircle that has a radius of 30 feet, apply r = 30 to the formula <em>A = (πr²)/2</em>:

<em>A = (π30²)/2</em>

<em>A = 1413.72 unit²</em>

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The hypotenuse of a right triangle is 8 cm longer than the longer leg. The shorter leg is 17 cm shorter than the longer leg. Fin
balu736 [363]

Answer:

  45 cm

Step-by-step explanation:

Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...

  (x +8)^2 = x^2 +(x -17)^2

  x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses

  0 = x^2 -50x +225 . . . . . put in standard form

  0 = (x -45)(x -5) . . . . . . . . factor

Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.

The length of the longer leg of the triangle is 45 cm.

5 0
3 years ago
Read 2 more answers
Order the set of numbers from LEAST to GREATEST.
Alexeev081 [22]

A would be your answer.

(I am going to assume that the set of numbers are multiplied by exponents.)

To solve you just need to calculate each one. Note that for positive exponents you move the decimal point to the right and negative exponents you move the decimal point to the left.

2.7*10^{3}, 4.24*10^{-3} , 4.7*10^{2}, 4.3*10^{-2}

The first scientific notation would be equal to 2700 because you move the decimal point 3 places to the right, since the exponent is positive.

2.7*10^{3} =2700

The second scientific notation would be equal to 0.00424 because you move the decimal point 3 places to the left, since the exponent is negative.

4.24*10^{-3} =0.00424

The third scientific notation would equal 470 because you move the decimal point 2 places to the right, since the exponent is positive.

4.7*10^{2} =470

The last scientific notation would equal 0.043 because you move the decimal point 2 places to the left, since the exponent is negative.

4.3*10^{-2} =0.043

4 0
3 years ago
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot.
Sholpan [36]

Answer:

These points are hard to graph, so I have a website that you can go to instead and all you have to do is put in the points and then once you're done type in correlation coefficient and then type in (A,B,C, D, E, etc.) and you'll be given the correlation coefficient. I put a picture with my attempt at graphing. I hope this helps, sorry I couldn't graph it for you

The site is: geogebra and it is a graphing calendar: https://www.geogebra.org/graphing

8 0
3 years ago
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Red blood cell is about 7.5 micrometers in diameter. A coarse grain of sand is about 70 micrometers in diameter. Find the differ
yarga [219]

Answer:

Difference = 62.5 micrometer

Step-by-step explanation:

Given that:

Diameter of red blood cell = 7.5 micrometer

Diameter of coarse grain of sand = 70 micrometers

For calculating the difference between two diameters, we will subtract the diameter of red blood cell from diameter of grain of sand.

Difference = 70 - 7.5

Difference = 62.5 micrometer

Hence,

Difference = 62.5 micrometer

5 0
3 years ago
I’m bad at decimals help plz
lakkis [162]

Answer:

<

Step-by-step explanation:

Because 3 < 4

3 0
3 years ago
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