What is the area of the circle given the radius 9. use 3.14

Mathematics

1 answer:

xxMikexx [17]2 years ago

4 0

Answer:

254.5

Step-by-step explanation:

area of circle = pi (3.142) x 9squared

answer 254.5 or 81 pi

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One leg of a right triangle is 7 inches longer than the other leg, and the hypotenuse is 35 inches. Find the lengths of the legs

lilavasa [31]

Answer: 21, 28

Step-by-step explanation:

Side #1 = x
Side #2 = x + 7
Hypotenuse = 35

Use the Pythagorean Theorem $a^{2}+b^{2}=c^{2}$ :

a = x
b = x + 7
c = 35

Substitute in the values & solve:

$x^{2}+(x+7)^{2}=35^{2}\\x^{2}+x^{2}+14x+49=1225\\2x^{2}+14x+49-1225=0\\2x^{2}+14x-1176=0\\2(x^{2}+7x-588)=0\\2(x + 28)(x - 21)=0\\x_{1}=-28, x_{2}=21$

-28 is not a possible solution since you can't have negative inches...

a = x = 21
b = x + 7 = 21 + 7 = 28
c = 35

6 0

2 years ago

Find the probability that 4 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal place

Ksju [112]

The number of days of not leap years is 365.

So, the number of different variations of birthdays for 4 people is 365 * 365 * 365 * 365 = (365)^4

The probability that all of them be one specific day is 365 / (365)^4 = 1 / (365)^3 ≈ 0.00000002.

Answer: 0.00000002

7 0

3 years ago

Find the length of diagonal AC in the rectangle at the right show you’re work plss

ivolga24 [154]

Answer:

Step-by-step explanation:

Let 10 be a, and 24 be b, and the undefined hypotenuse be c.

$a^2 + b^2 = c^2$