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2 years ago

Find the length of side x in simplest radical form with a rational denominator.

Mathematics

1 answer:

Sever21 [200]2 years ago

3 0

Answer:

x = sqrt (22)

Step-by-step explanation:

This is a RIGHT triangle with the two legs of equal length sqrt 11

us pythagorean theorem

a^2 + b^2 = c ^2 where a and b are the legs and c = hypotenuse

(sqrt11)^2 + (sqrt11)^2 = x^2

11 + 11 = x^2

x = sqrt (22)

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Please help, thank you.

Gnoma [55]

Lets x = radius
x^2 + 10^2 = (x+8)^2
x^2 + 100 = x^2 + 16x + 64
16x = 100 - 64
16x = 36
x = 2.25

answer
B. 2.25

8 0

3 years ago

Suppose that 5 out of 13 people are to be chosen to go on a mission trip. In how many ways can these 5 be chosen if the order in

algol [13]

5 People can be chosen in 1287 ways if the order in which they are chosen is not important.

Step-by-step explanation:

Given:

Total number of students= 13

Number of Students to be selected= 5

To Find :

The number of ways in which the 5 people can be selected=?

Solution:

Let us use the permutation and combination to solve this problem

$nCr=\frac{(n)!}{(n-r)!(r)!}$

So here , n =13 and r=5 ,

So after putting the value of n and r , the equation will be

$13C_5=\frac{(13)!}{(13-5)!(5)!}$

$13C_5=\frac{(13 \times12 \times11 \times10 \times9 \times8\times7 \times6 \times5 \times4 \times3 \times2 \times1)}{(8 \times7 \times6 \times5 \times4 \times3 \times2 \times1)(5 \times4 \times3 \times2 \times1)}$

$13C_5=\frac{(13 \times12 \times11 \times10 \times9 )}{((5 \times4 \times3 \times2 \times1)}$

$13C_5=\frac{154440}{120}$

$13C_5= 1287$

8 0

4 years ago

Classify ∠2 and ∠6. Compare angle measures, and give the postulate or theorem that justifies it.

LenaWriter [7]

Answer:

Explanation

Step-by-step explanation:

Angles 2 and 6 are corresponding angles in a transversal meaning they have the same measure.

4 0

3 years ago

I am thinking of a number i multiply by 11 and add 22 i get the same answer if i miltiply by 4 and add 113 whats my number

lesya [120]

Answer: 13

Step-by-step explanation:

Let the number that in thinking of be represented by x.

I multiply by 11 and add 22 will give the same answer as multiplying by 4 and adding 113. This.csn be firmed into an equation as:

(11 × x) + 22 = (4 × x) + 113

11x + 22 = 4x + 113

Collect like terms

11x - 4x = 113 - 22

7x = 91

x = 91/7

x = 13.

The number is 13

8 0

3 years ago

Please help me out with this

neonofarm [45]

Answer:

I believe the answer is 12.57

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers