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2 years ago

Helppppppppppppppppp

Mathematics

1 answer:

barxatty [35]2 years ago

4 0

Answer:

This looks hard.

Step-by-step explanation:

I know because it is very hard.

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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0

2 years ago

A jury pool consists of 50 potential jurors and how many ways can a jury of 12 be selected

bija089 [108]

Solution:

we are given that

A jury pool consists of 50 potential jurors.

Wee have been asked to find the number of ways can a jury of 12 be selected.

As we know from the concept of combination that r person can be selected out of n in ncr ways. where

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

Now substitute the values we get

${50}_C_{12}=\frac{50!}{12!(50-12)!}\\
\\
{50}_C_{12}=\frac{50!}{12!38!}\\
\\
{50}_C_{12}=121399651100\\$

Hence the required number of ways is 121399651100

5 0

3 years ago

Half of a number decreased by 27

bija089 [108]

"Half of a number decreased by 27" can be displayed as:

<u>1/2x - 27</u>

3 0

3 years ago

Please help me with this !!

Sergio [31]

Answer: AC = 7√3

tan 30° = $\frac{BC}{AC}$

=> $\frac{BC}{AC}=\frac{1}{\sqrt{3} }\\\\\=> AC=BC\sqrt{3} =7\sqrt{3}$

Step-by-step explanation:

3 0

3 years ago

A farm is 5 ha in size it is 1000 by

julia-pushkina [17]

Your answer is 200 please give me a rate and thanks ;)

3 0

3 years ago

Read 2 more answers