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sp2606 [1]
3 years ago
7

I need help, please and thank you. I know that you have to multiply the diameter by 2 to find the radius, but with the 9 pi, it

makes me unsure if I'm doing this correctly. ​

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

r=6

Step-by-step explanation:

The area of a circle is given by πr². Note that this uses the radius, not the diameter.

Now, one quarter of this area (ABC) is given to be 9π.

So apparently:

\frac14 \pi r^2 = 9\pi

If you solve this:

\frac14 r^2 = 9 (divide both sides by π)

r^2 = 9\cdot4 (multiply both sides by 4)

so

r = √36 = 6

so the radius is 6.

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I now have another question to ask.
marissa [1.9K]

Answer:

23.6 ft

Step-by-step explanation:

Sketch a right triangle representing this situation.  The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°.  The "opposite side" is the reach of the ladder, which we'll call x.

Then:

                        opp

  • sin 65° = ----------
  •                 26 ft

or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.

Evaluating this, we get:

(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft

The ladder reaches 23.6 ft up the side of the building.

8 0
3 years ago
Angles P and Q are supplementary angles. If m
RSB [31]

Supplimentary angles add upto 180 degrees.

Given that angle P is three times angle Q-4 then ;

Let angle P be 3(x-4) = 3x -12

Let angle Q be x

Applying the rule of supplimentary angles;

3x-12+x=1804x-12=1804x=180+124x=192

Divide both sides by 4 to get value of x in degrees

x=\frac{192}{4}=48

x= 48 degrees

Angle Q = 48 degrees

Angle P = 3x-12 = (3*48)-12 = 132 degrees

7 0
1 year ago
In the school store, pencils cost 15 cents each and erasers cost 10 cents each. There is no tax. Gabby wants to spend exactly $2
kakasveta [241]

she bought 10 pencils and 5 erasers

Let x represent the number of pencils and y represent the number of erasers.

Gabby wants to spend exactly $2.00 on pencils and erasers, hence:

0.15x - 0.1y = 2        (1)

Therefore x = 10 and y = 5

Therefore she bought 10 pencils and 5 erasers.

Find out more at: brainly.com/question/25035724

7 0
3 years ago
16<b-8,ifb=22 canyouhelpme​
tiny-mole [99]

Answer:

No solution

Step-by-step explanation:

16 < 22 - 8 = 22

16 < 14 = 22

This question doesnt make sense, not only is the inequality false, but the equation isn't equal either.

6 0
3 years ago
Help me with this please. Thanks!
horsena [70]
Cubic inch.
Proszę.
Myślę że pomoglem.
7 0
4 years ago
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