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Ksju [112]
3 years ago
9

Find the length of the third side. If necessary, write in simplest radical form. 10 5

Mathematics
1 answer:
Murljashka [212]3 years ago
4 0

Answer:

x= 5\sqrt{5}

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 10 and b =5 are the lengths of the legs of a right triangle and c= x is the length of the hypotenuse, then t<u>he sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. </u>

This relationship is represented by the formula:

a^{2} + b^{2} = c^{2} =>10^2 +5 ^2 = x^2

=> 100 + 25 = x^2

=> \sqrt{125} = x => \sqrt{25} \sqrt{5} = x

=> x= 5\sqrt{5}

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Use the function f (x) = -2x4 + 3x) – 4x+ 9x2 + 2x – 5 to complete these sentences.
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Answer:

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Step-by-step explanation:

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6 0
2 years ago
Find the product and explain the process and reasoning. $ 0 . 79 × 3 . 7 = ?
geniusboy [140]
Your answer would be 2.93.
8 0
3 years ago
Complete to get an equal ratio<br> 3x/y = ? /2y
amid [387]

Answer:

6x

Step-by-step explanation:

3x/y=x/2y

Since 2y is 2X greater than y, 6x is 2X greater than 3x.

So,

The answer is 6x.

5 0
3 years ago
Gallup conducted a survey from April 1 to 25, 2010, to determine the congressional vote preference of the American voters.15 The
Lisa [10]

Answer:

p ( x > 2746 ) = p ( z > - 1.4552 )

                      = 1 - 0.072806

                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Step-by-step explanation:

Given data:

51% of male voters preferred a Republican candidate

sample size = 5490

To win the vote one needs ≈ 2746 votes

In order to advice Gallup appropriately lets consider this as a binomial distribution

n = 5490

p = 0.51

q = 1 - 0.51 = 0.49

Hence n_{p} > 5  while n_{q}  < 5

we will consider it as a normal distribution

From the question :

number of male voters who prefer republican candidate  ( mean ) ( u )

= 0.51 * 5490 = 2799.9

std = \sqrt{npq} = \sqrt{5490 * 0.51 *0.49} = 37.0399  ---- ( 1 )

determine the Z-score = (x - u ) / std  ---- ( 2 )

x = 2746 , u = 2799.9 , std = 37.0399

hence Z - score = - 1.4552

hence

p ( x > 2746 ) = p ( z > - 1.4552 )

                      = 1 - 0.072806

                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

7 0
2 years ago
Find the volume <br> Find the volume
baherus [9]

v=360

formula

v =  \frac{1}{2}(bl)h

4 0
3 years ago
Read 2 more answers
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