All categories

1 year ago

What is the length of the missing side of this triangle?

Mathematics

2 answers:

Blababa [14]1 year ago

6 0

Answer:

x = 10

Step-by-step explanation:

The given is a right triangle, in right triangles the sum of square value of two legs (base and height) is equal to square value of hypotenuse.

Now, know the value of base and hypotenuse are 24 and 26

let x represent the missing side:

26^2 = x^2 + 24^2

676 = x^2 + 576 subtract 576 from both sides

100 = x^2 find the root of both sides

10 = x this is the length of the missing side

N76 [4]1 year ago

5 0

Answer:

The answer is B=10 and the top is called hypothenus

You might be interested in

The senior class at a very small high school has 25 students. Officers need to be elected for four positions: President, Vice-Pr

kirill115 [55]

Answer:

(a) The total number of ways to select 4 officers from from 25 students is 12,650.

(b) The total number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is 5,148.

Step-by-step explanation:

(a)

It is provided that there are a total of <em>n</em> = 25 students.

Officers need to be elected for four positions:

President, Vice-President, Secretary, and Treasurer.

<em>k</em> = 4

In mathematics, the procedure to select <em>k</em> items from <em>n</em> distinct items, without replacement, is known as combinations.

The formula to compute the combinations of <em>k</em> items from <em>n</em> is given by the formula:

${n\choose k}=\frac{n!}{k!(n-k)!}$

Compute the number of ways to select 4 students from from 25 as follows:

${25\choose 4}=\frac{25!}{4!(25-4)!}$

$=\frac{25!}{4!\times 21!}\\\\=\frac{25\times 24\times 23\times 22\times 21!}{4!\times 21!}\\\\=\frac{25\times 24\times 23\times 22}{4\times 3\times 2\times 1}\\\\=12650$

Thus, the total number of ways to select 4 officers from from 25 students is 12,650.

(b)

It is provided that of the 25 students, there are 13 girls and 12 boys in the class.

For the post of President and Treasurer only girls are selected.

For the post of Vice-President and Secretary only boys are selected.

Compute the number of ways to select 2 girls for the post of President and Treasurer as follows:

${13\choose 2}=\frac{13!}{2!(13-2)!}$

$=\frac{13!}{2!\times 11!}\\\\=\frac{13\times 12\times 11!}{2!\times 11!}\\\\=\frac{13\times 12}{ 2\times 1}\\\\=78$

Compute the number of ways to select 2 boys for the post of Vice-President and Secretary as follows:

${12\choose 2}=\frac{12!}{2!(12-2)!}$

$=\frac{12!}{2!\times 10!}\\\\=\frac{12\times 11\times 10!}{2!\times 10!}\\\\=\frac{12\times 11}{ 2\times 1}\\\\=66$

The number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is:

${13\choose 2}\times {12\choose 2}=78\times 66=5148$

Thus, the total number of ways the four officers are selected such that the President and Treasurer are girls and the Vice-President and Secretary are boys is 5,148.

7 0

2 years ago

If 9 exercise books books cost N540.00 how many will 14 of such cost.

Nataliya [291]

Answer:

840

Step-by-step explanation:

im probably wrong

5 0

2 years ago

Read 2 more answers

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?.

stellarik [79]

The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,

[ 0 12 12 0]

[ 0 0 12 6]

<h2>We have to determine</h2>

Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?

<h3>According to the question</h3>

The vertices of the triangle are

The scale factor is 3.

<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>

Therefore,

The vertices of the rectangle after scaled by the factor of 3 are,

$\rm (0, 0), (4, 0), (4, 4) \ and\ (0, 2)\\\\ (0\times 3, 0\times 3), (4 \times 3, 0 \times 3), (4 \times 3, 4 \times 3) \ and \ (0 \times 3, 2 \times 3) \\\\ (0, \ 0), (12, \ 0), (12, \ 12), \ (0,\ 6 )$