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3 years ago

Find the measure of one interior angle of a regular 14-gon.

1 answer:

8 0

$\bf \textit{sum of all interior angles in a polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{polygon}{sides}\\ \theta = angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n = 14\\ \end{cases}\implies 14\theta =180(14-2) \\\\\\ 14\theta =180(12)\implies 14\theta =2160\implies \theta =\cfrac{2160}{14}\implies \theta \approx 154.3^o$

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What is the shape of the the cross section PLEASE HELP

Masteriza [31]

Answer: The shape of the cross section will be triangular.

Step-by-step explanation:

The cross section is the shape the shows when you cut a straight line. no matter where you cut it, you will still get a triangle.

4 0

3 years ago

Divide R300 000 between Leona and Janet in the ratio 3:2.

ella [17]

Answer:

let the ratio be in x 

a/q. 3x + 2x = 300000

 5x = 300000

x = 300000/5

x= 60000

Leona = 60000*3 = 180000

Janet = 60000*2 = 120000

hope it helps

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2 years ago

What two rational expressions sum to 3x+4/x^2-6x+5?

Lubov Fominskaja [6]

Answer:

$\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}$

Step-by-step explanation:

The given rational expression is:

$\frac{3x+4}{x^{2}-6x+5} = \frac{3x+4}{(x-1)(x-5)}$

We can use concept of Partial Fractions to solve this problem. Let,

$\frac{3x+4}{(x-1)(x-5)}=\frac{A}{x-1} +\frac{B}{x-5}$

Multiplying both sides by (x - 1)(x - 5), we get:

$3x+4=A(x-5)+B(x-1)$

Substituting x = 5, we get:

$3(5)+4=A(5-5)+B(5-1)\\\\ 15+4=0+4B\\\\ 19=4B\\\\ B=\frac{19}{4}$

Substituting x = 1, we get:

$3(1)+4=A(1-5)+B(1-1)\\\\ 7=-4A\\\\ A=-\frac{7}{4}$

Substituting the value of A and B, back in the original equation, we get:

$\frac{3x+4}{x^2-6x+5}=\frac{-7}{4(x-1)} +\frac{19}{4(x-5)}$

4 0

2 years ago

Ariel scored on 12 two-point and three-point shots. She scored 27 points in all. How many of each shot did Ariel make? Show work

suter [353]

For this, you multiply the 12 two point shots she made to see how many points she earned
12 x 2 = 24
now you will subtract the 24 from 27 to find out how many points are left
27 - 24 = 3
this means she made 12 two point shots (worth 24 points) and 1 three point shot (worth 3 points) to total up as her 27 points:)

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to this expression? X (2x + 3)

gayaneshka [121]

Answer:

Step-by-step explanation:

distribute x by 2 and 3 so it would be 2x+3x

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2 years ago