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Bess [88]
3 years ago
14

What is the area of the circle shown below?

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0

Answer:

A. 1520.5 cm^2

Step-by-step explanation:

The area of a circle can be found using the following equation:

a=\pi r^2

In this problem, the radius (from the center of the circle to the circumference of the circle) is 22 centimeters. Therefore, we can substitute 22 cm in for r.

r=22 cm

a=\pi *22 cm^2

First, evaluate the exponent.

22 cm ^2= 22 cm * 22 cm= 484 cm^2

a=\pi *484cm^2

Multiply pi and 484

a=1520.53084 cm^2

Round to the nearest tenth. The 3 in the hundredth place tell us to leave the 5 in the tenth place.

a= 1520.5 cm^2

The area of the circle is 1520.5 square centimeters and A is correct.

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Marge cut 16 pieces of tape. Each piece is 3/8in long HOW MUCH TAPE DID SHE USE???????? meow :3
Alla [95]
To solve this, all you need to do is multiply 16 by 3/8. When you multiply a whole number by a fraction, make the whole number into a fraction by putting it over 1.

16      3
---- x ----        Multiply the numerators together and then the denominators.
 1       8

(16 x 3) / (1 x 8)

48 / 8                   Then divide.

She used 6 inches of tape.

3 0
3 years ago
Read 2 more answers
=2x^2 − 8 + 6 what is the vertex
Marta_Voda [28]

Answer:

(0,-2)

Step-by-step explanation:

6 0
3 years ago
A triangle has a perimeter of 77 centimeters and one side is 25 centimeters. The other
Vitek1552 [10]

Answer:

  36 cm

Step-by-step explanation:

Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:

  77 = 25 + 4x +9x

  52 = 13x . . . . . . . . subtract 25

  x = 4 . . . . . . . . . divide by 13

  4x = 4(4) = 16 . . . . find the other side lengths

  9x = 9(4) = 36

The side lengths are 25 cm, 16 cm, 36 cm. The longest side is 36 cm.

8 0
2 years ago
A diamond can be classified as either gem-quality or industrial-grade. 80% of diamonds are classified as industrial-grade.
mote1985 [20]

Answer:

a) 0.64

b) 0.21

c) 0.79

Step-by-step explanation:

Percentage of industrial-grade diamonds = 80%

This means, if one diamond is chosen at random, there is 80% chance that it will be of industrial-grade. So,

P(Industrial grade) = 80% = 0.80

Part a)

Probability that 1st diamond is industrial-grade = 0.80

Since, selection of diamonds in independent, the probability that 2nd diamond is also industrial grade = 0.80

The overall probability of both diamonds being industrial-grade will be the product of their individual probabilities, according to the fundamental rule of counting.

So, if two diamonds are chosen at random, the probability that both are industrial grade = 0.80 x 0.80 = (0.80)² = 0.64

Part b)

Following the same logic as we followed in the previous part.

The probability of each of the 7 diamonds being industrial-grade is 0.80, so the probability that all 7 are industrial grade will be:

Probability = 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 = (0.80)^{7} = 0.21

So, if 7 diamonds are chosen at random, the probability that all 7 are industrial grade is 0.21.

Part c)

The event "at least one" is complement of event "none". So, the event "at least one of 7" will be complement of "none of the 7"

If none of the selected diamonds is gem quality, this means all 7 of the diamonds are industrial-grade. So,

The probability that none of the diamonds is gem-quality = The probability that all 7 are industrial-grade = 0.21

So,

The probability that at least one of the 7 selected diamonds is gem-quality = 1 - Probability that none is gem-quality

= 1 - 0.21

= 0.79

Since the probability that atleast one of the 7 randomly selected diamonds is gem-quality is greater than 0.05, it won't be unusual event.

3 0
3 years ago
Will give brainliest<br> 4 × 10^-5
sesenic [268]

Step-by-step explanation:

9 4/5. Step-by-step explanation: 7 1/2 + 2 3/10 = 9 8/10 = 9 4/5. klondikegj and 1 more users found this answer helpful. Thanks 1.

8 0
2 years ago
Read 2 more answers
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