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Lyrx [107]
3 years ago
7

Find the value of x.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
5 0

Answer:

  x = 5√2

Step-by-step explanation:

You know that the hypotenuse of an isosceles right triangle is √2 times the length of either side. Then ...

  10 = x·√2

Multiplying by √2, we get

  10√2 = 2x

and dividing by 2 gives ...

  5√2 = x

_____

We know that x/10 = 1/√2 from the ratios of side lengths of an isosceles right triangle. Rationalizing the denominator, we can also write ...

  x/10 = (√2)/2

Multiplying by 10 gives ...

  x = 10(√2)/2 = 5√2

allochka39001 [22]3 years ago
4 0

D will be the answer to this question

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What is the simplest form of 4a + 8b/12​<br> Step by step pls
shutvik [7]

Answer:

4a + 2b/3

Step-by-step explanation:

focus on 8b/12 first:

factor 8b/12 by 4 ---> 8b/12 = 4(2)b/4(3) ----> cancel 4 in the denominator and the nominator ---> 8b/12 = 4(2)b/4(3) = 2b/3

then, go back to 4a:

4a is in its simplest form, it can't be factor

therefore, plus 4a and 2b/3 = 4a + 2b/3

5 0
3 years ago
The sum of a number and twice its square is 105. Find the number
IRISSAK [1]
N+2^2=105
105-4=101
n=101
hope it helps please mark me as brainliest
 
3 0
3 years ago
A ticket to a concert costs $27.That is 3 times as much as a ticket to a movie.
anyanavicka [17]

Answer:

$9.00

Step-by-step explanation:

27 divided by 3 = 9

6 0
3 years ago
Read 2 more answers
The circumference of a circle is 12 pi what is the diameter​
Zolol [24]

Answer:

Step-by-step explanation:

Givens

C = 12 * pi

C = 2*pi * r

Solution

2*pi * r = 12*pi                        Divide both sides by 2pi

2*pi * r/ 2*pi = 12*pi/2pi

r = 6

Answer: the diameter = 2 * r

the diameter = 12

5 0
3 years ago
Find the volume of a right circular cone that has a height of 3.9 ft and a base with a circumference of 16.3 ft. Round your answ
MissTica

Answer:

The answer to your question is Volume = 27.5 ft³

Step-by-step explanation:

Data

Volume = ?

height = 3.9 ft

Circumference = 16.3 ft

Process

1.- Calculate the radius of the Cone

   Circumference = 2πr = 16.3 ft

-Solve for r

                                    r = 16.3/2π

                                    r = 16.3/6.28

                                    r = 2.5955 ft

2.- Calculate the volume

Volume = 1/3πr²h

-Substitution

Volume = 1/3(3.14)(2.5955)²(3.9)

-Simplification

Volume = 1/3(82.4966)

-Result

Volume = 27.5 ft³

8 0
3 years ago
Read 2 more answers
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