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3 years ago

A circle with area 100 pi has a sector with a central angle of 2/5 pi radians. What is the area of the sector?

Mathematics

1 answer:

Zarrin [17]3 years ago

4 0

we know that

2pi radians (full circle) has an area of-----------------> 100pi

then

(2pi/5) radians----------------------------> X

X=(2pi/5)*100pi/2pi---------> 20pi units²

the answer is

20pi units²

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each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the per

Montano1993 [528]

<h3>Answer:-</h3>

192 cm²

<h3>Step by step explanation :-</h3>

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of ∆ is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

<h3>★ Hence the area of the triangle is 192 cm² .</h3>

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3 years ago

a science quiz has eight multiple choice questions with five choices for each. Find the total number of ways to answer the quest

almond37 [142]

Answer:

390625

Step-by-step explanation:

The questions are all independent -- the answer on one question does not limit the number of possible answers on another question.

The quiz has 5 choices for each question, so there are

$5\times5\times5\times5\times5\times5\times5\times5$ ways to answer the quiz questions.

Notice that this could be written $5^8$ . You could say that the number of ways to answer the questions is

$number \, of \, choices^{number \, of \, questions}$

Use a calculator to find $5^8$

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3 years ago

Find the area of a triangle with a base of 30 cm and a height of 75 cm

vivado [14]

The formula for the area of a triangle is

1/2 b•h

Let’s plug in our values !

1/2 (30•75)

1/2 • 2,250 = ?

2,250/2 = 1,125

The area of the triangle is 1,125 cm^2

I hope I helped !
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antoniya [11.8K]

Answer:

240

Step-by-step explanation:

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Andrei [34K]

Answer:

cost of 1 kg of washing powder is $1.2

Step-by-step explanation:

9 kg = $10.80

cost for 1 kg =

10.80 ÷ 9
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2 years ago

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