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natulia [17]
3 years ago
15

59:26 What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple? 22 29 41 42

Mathematics
2 answers:
Vikki [24]3 years ago
4 0
If the legs are length a and b and hyptonuse is c then
a²+b²=c²

so
if the legs are 20 and 21 and the hypotnuse is x then
20²+21²=x²
400+441=x²
841=x²
29=x
MAXImum [283]3 years ago
3 0

Answer:  the correct option is (B) 29.

Step-by-step explanation:  We are given to find the length of the hypotenuse x, if (20, 21, x) is a Pythagorean triple.

We know that

in a right-angled triangle, the lengths of the sides (hypotenuse, perpendicular, base) is a Pythagorean triple, where

Hypotenuse^2=Perpendicular^2+base^2.

So,  for the given Pythagorean triple, we have

x^2=20^2+21^2\\\\\Rightarrow x^2=400+441\\\\\Rightarrow x^2=841\\\\\Rightarrow x=\sqrt{841}~~~~~~~~~~~~~~~~~[\textup{taking square root on both sides}]\\\\\Rightarrow x=\pm29.

Since the length of the hypotenuse cannot be negative, so x = 29.

Thus, the length of the hypotenuse, x = 29.

Option (B) is CORRECT.

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Susie has a bag with 8 hair pins, 7 pencils, 2 snacks, and 4 books. What is the ratio of books to pencils?
Viefleur [7K]
<h3>Hello there!</h3>

The first thing we need to do here is see which information is relevant.

The question is asking for the ratio of books to pencils.

Therefore, we only need the number of books and pencils - all other information given is irrelevant in this scenario.

Number of books - 4

Number of pencils - 7

Now, we can order this as a ratio.

A ratio is two numbers put as a proportion. It's normally written out as first number : second number.

In this case, it's the ratio of number of books : number of pencils.

Fill in the number of books and number of pencils into each side of the equation.

number of books : number of pencils

4 books : 7 pencils (the unit is normally dropped)

So therefore, 4:7 would be your final answer.

Hope this helped!

4 0
3 years ago
Read 2 more answers
HELP ME PLZ
Yuki888 [10]
B this is because 15y is 10 a
6 0
3 years ago
A carpenter has a rectangular wooden board. The diagonal of the board is 18 inches long and one side of the board is 12 inches l
BaLLatris [955]

In this question, it is given that the diagonal of the board is 18 inches long and one side of the board is 12 inches long.

Let the other side is of length b inches .

Now we use pythagorean identity, which is

a^2 + b ^2 = c^2

Here, a = 12 and c=18

Substituting these values, we will get

12^2 + b^2 = 18^2 \\ 144 + b ^2 = 324 \\ b^2 = 324-144 \\ b^2 = 180 \\ b= \sqrt{180} \\ b = 13.4164 inches

And the formula of perimeter is

Perimeter = 2(Sum\ of \ legs)

Substituting the values of the two legs, we will get

Perimeter = 2(12+13.4164) = 50.83 inches


3 0
3 years ago
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2)
Elenna [48]

Parallel lines are in the same plane, never intersect, and have the same slope.

7 0
3 years ago
Number 2 please thanks
Alex

Answer:

c) 2x+1

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Let's x be number of Nick's goals.

Emma has scored 1 more than twice the number of Nicks.

1 more is +1, of twices the number is 2x.

so 2x+1=15

6 0
2 years ago
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