Could this set of numbers represent the lengths of the sides of a right triangle? {5,9,13}

Answers

Answer 1
Answer:

Answer:

Yes, it can

Step-by-step explanation:

Yes, the set of numbers {5, 9, 13} can represent the lengths of the sides of a right triangle. This set of numbers follows the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case:

The length of one side is 5.

The length of the other side is 9.

The length of the hypotenuse is 13.

You can check if these numbers satisfy the Pythagorean theorem:

5^2 + 9^2 = 25 + 81 = 106

13^2 = 169

The set of numbers {5, 9, 13} does represent the lengths of the sides of a right triangle, as it satisfies the Pythagorean theorem.


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Find the area of the figure to the nearest tenthA. 8.2 in.2
B. 74.2 in.2
C. 148.4 in.2
D. 23.6 in.2

Answers

That's a part of a circle that has a radius of 9 inches.

Area of any circle = (pi) x (radius)²

Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi)  square inches.

That's the whole circle.  How much of the whole circle is in the picture ?

A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.
This piece is ( 105/360 ) of the whole circle.

So the area of the piece is (105/360) x (81 pi) = 74.22 square inches (rounded)

Find the missing length.С
9
c= /[?]
TX
Pythagorean Theorem: a2 + b2 = c2
3



Don’t mind the broken laptop

Answers

Answer:

c = √(90)

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse c is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )

c = √(90)

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player?0.13%

0.87%

49.87%

99.87%

Answers

Answer: First Option is correct.

Step-by-step explanation:

Since we have given that

Mean (\mu)= 70 inches

Standard deviation (\sigma)= 3 inches

Average basket ball player (\bar{X}) = 79 inches

Since it is normally distributed assume with 5% significance .

So, it becomes,

Z>\frac{\bar{X}-\mu}{\sigma}\n\nZ>(79-70)/(3)\n\nZ>(9)/(3)\n\nZ>3\n\n\therefore\ P(Z>3)=1-0.9987=0.0013

At 0.05 level of significance , 0.0013 = 0.13% of the adult male population is taller than the average basketball player .

Hence, First Option is correct.

Kindly check this link for more details:

Therefore the answer is 0.13% is the approximate percentae of the adult male population who are taller than the average basketball player

Rewrite A=P +Prt in a different format ​

Answers

Answer:A=P+PRT

Step-by-step explanation:

2
What is (2 + 0.4 + 0.6)= ?

Answers

Answer:

Whatis(2+0.4+0.6)

First we have to arrange the numbers in sequence...

2.0 \: + \: 0.4 \: + 0.6 \n 3.0 \: or \: 3

Here I have taken this 0 after the point ..as the rest of the digit are in tenths place or after the point...

The answer is 3.

We will not calculate the 0 as it does not have any value.

Ans) 3

Hope this helps you...

What is the GCF of 9 and 18?

Answers

9=1,3,9
18=1,2,3,6,9,18

Answer: 9

Step-by-step explanation: