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3 years ago

Need help badly #15 Find the area of each sector.

Mathematics

1 answer:

Ber [7]3 years ago

6 0

The highlighted sector is exactly 3/4 of the circle area, because $\frac{3\pi}{2}$ is 3/4 of $2\pi$ which is a complete rotation.

Since you are given the radius, you can compute the area as

$A = \pi r^2 = 16\pi$

So, 3/4 of this area would be $12\pi$ squared cm.

The remaining sector, of course, is $4\pi$ squared cm.

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Which expression is equivalent to x^6-9

svlad2 [7]

Answer: (x^3)^2 - 3^2

Step-by-step explanation:

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3 years ago

Rewrite the following without an exponent.<br> (-5)-2 (the -2 is the exponent)

yuradex [85]

Answer: -5 x -5

The exponent two means the other number multiplied 2 times, so the equation is -5 x -5. The answer to the equation is -25.

Hope this helped you out!

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2 years ago

Talishas bedroom is a rectangular prism. The area of the floor is 156 square feet, and the height of the bedroom is 9 feet. What

andrew-mc [135]

Answer: 1404 cubic feet.

Step-by-step explanation:

Formula :

Volume of a rectangular prism is given by :

Volume= Area of the base x Height.

Given : Talishas bedroom is a rectangular prism.

The area of the floor = 156 square feet

The height of the floor = 9 feet

Then , the volume of Talishas bedroom = Area of floor x Height

= 156 × 9=1404 cubic feet.

Hence, the volume of Talishas bedroom= 1404 cubic feet.

7 0

3 years ago

a swimming pool charges £3.60 for entry. you can save 1/3 of entry fee with a membership card. on his first visit, ken spends £5

nikitadnepr [17]

Answer:

Step-by-step explanation:

You save ⅓ of entry fee, so you save 1.20 and you pay 2.40. We only really care about the 1.20 reduction. 5 / 1.2 = 4.16 so he must go 5 times to get the 5 back

8 0

1 year ago

If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.

Aneli [31]

Answer: Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

$\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm$

Therefore

AO=BO=CO= 10 cm

Now

$OE = CO- CE \Rightarrow OE= 10 -4 = 6 cm$

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

$BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm$

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

$AB= 2\times BE = 2\times 8=16 cm$

Hence , the length of AB is 16 cm .

8 0

3 years ago