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grin007 [14]
3 years ago
13

A basketball court is being painted. The entire section below will be painted blue. Determine how many square feet of paint will

be used

Mathematics
1 answer:
earnstyle [38]3 years ago
6 0
Answer:

145.12 ft squared will be painted blue.
So the answer is B.

Explanation:

The area of the rectangle is 120 ft2 because 8 ft x 15 ft = 120 ft2

The area of the semi-circle is
because 3.14 x 4 (the radius) squared (or 16) is 50.24, then you divide it by 2 since it’s a semi-circle. 50.24 divided by 2 is 25.12.

Then you add the areas:

120 ft squared + 25.12 ft squared = 145.12 ft squared
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What is the radius of a circle with a circumference of 30.4 feet? 4.8ft 3.4ft 6.3ft 9.7ft?
tankabanditka [31]
≈<span>4.8 ft is your answer</span>
7 0
3 years ago
Triangle ΔABC has side lengths of a = 18, <img src="https://tex.z-dn.net/?f=b%3D18%5Csqrt%7B3%7D" id="TexFormula1" title="b=18\s
ozzi

The measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

<h3 /><h3>What is the law of cosine?</h3>

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle B=\cos^{-1}\left(\dfrac{a^2+c^2-b^2}{2ac}\right) \\\angle C=\cos^{-1}\left(\dfrac{a^2+b^2-c^2}{2ab}\right)

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

Triangle ΔABC has side lengths of a = 18, b=18√3  and c = 36 inches.

  • Part A: Determine the measure of angle A

Put the value, in the cosine law, the measure of angle A.

\angle A=\cos^{-1}\left(\dfrac{b^2+c^2-a^2}{2bc}\right) \\\angle A=\cos^{-1}\left(\dfrac{(18\sqrt{3})^2+36^2-18^2}{2(18\sqrt{3})(36)}\right) \\\angle A=0.5236\rm\; rad\\\angle A=30^o\rm\; degree\\

  • Part B: Show how to use the unit circle to find tan A

Using the chart of unit circle, the value of tangent A can be found out. The tangent A is,

\tan A=\tan 30^o\\\tan A=\dfrac{1}{\sqrt{3}}

  • Part C: Calculate the area of ΔABC.

Use the following formula to find area of ΔABC.,

A=\dfrac{ab.\sin C}{2}\\A=\dfrac{18\times18\sqrt{3}.\sin C}{2}\\A=280.6\rm\; in^2

Thus, the measure of angle A is 30 degree, the value of tan A is 1/√3 and the area of triangle ABC is 280.6 squared inches.

Learn more about the law of cosine here;

brainly.com/question/4372174

#SPJ1

7 0
2 years ago
Find the equation of the exponential function represented by the table below : X Y
leva [86]

Answer:

f(x) = 0.01 × 2^(x+1)

Step-by-step explanation:

0.02 = 0.01 × 2¹

0.04 = 0.01 × 2²

0.08 = 0.01 × 2³

0.16 = 0.01 × 2⁴

5 0
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HELP ASAP I will mark brainliest Emmy is flying a drone in a field near her house. She placed the drone on the ground and used t
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Answer:

It is the one on the bottom right

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First of all, we have to start at (0,0), so we can cross out the one on the top left and top right, as they does not.

Also, the one on the bottom right does not go back to the ground, though just stays in the air, but the one on the bottom right dows go back to the ground.

So, its the one on the bottom right

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What is -7.08 as a fraction or mixed number
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-7.08 as a fraction would be -177 over 25
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