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3 years ago

Explain why the apothem of a regular polygon must be less than the radius

1 answer:

5 0

By definition, the apothem of a polygon goes from the center of this figure to the midpoint of the segment and it forms an angle of 90 degrees with it.
The radius of a polygon goes from the center to one vertex. Therefore, they form a right triangle where the hypotenuse is the radius. As you know, the hypotenuse is the longer side of a right triangle, so you can conclude that <span>the apothem of a regular polygon must be less than the radius.</span>

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2/3 of a number is equal to 20. What is the number?

frosja888 [35]

Let the number be x

ATQ
2/3 (x) = 20
x = 20 x 3/2
x = 30

the number = 30

4 0

3 years ago

Solve the equation <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%20-%5Cfrac%7B3-2x%7D%7B6%7D%3D%5Cfrac%7B5%7D%7B2%7D%2

mestny [16]

Answer:

x = - $\frac{3}{11}$

Step-by-step explanation:

Given

$\frac{x}{3}$ - $\frac{3-2x}{6}$ = $\frac{5}{2}$ x

Multiply through by 6 to clear the fractions

2x - (3 - 2x) = 15x ← distribute and simplify left side

2x - 3 + 2x = 15x

4x - 3 = 15x ( subtract 4x from both sides )

- 3 = 11x ( divide both sides by 11 )

- $\frac{3}{11}$ = x

7 0

4 years ago

Read 2 more answers

Amaya and bo each roll a fair, ordinary six-sided die with the numbers $1,2,3,4,5,6$ on the sides. what is the probability that

pashok25 [27]

On the added picture is given a table of all possible die rolls, for example, under a pair (2,3) you mean that Bo rolls 2 on a die and Amaya rolls 3.

All red shaded cells responds to those choices, when Amaya rolls more than Bo.

Let's count: all possible rolls make up 36 choices and red shaded rolls make up 15 choices, then the probabiliry is

$\dfrac{15}{36} = \dfrac{5}{12}$ .

Answer: $\dfrac{5}{12}$ .

4 0

3 years ago

Miller has a painting that is 4 ft by 8 ft. What will the dimensions of the painting be if he scales it down by a factor of one-

natta225 [31]

The answer is C) 1 ft by 2 ft
You can take 4*0.25 and 8*0.25
You end up with 1 by 2

8 0

4 years ago

Read 2 more answers

A bag contains 240 marbles that are either red, blue, or green. The ratio of red to blue to green marbles is 5:2:1. If one-third

Andrej [43]

The fraction of the remaining marbles in the bag will be blue is 6/17.

<h3>What fraction of the remaining marbles in the bag will be blue?</h3>

The first step is to determine the initial number of marbles in the bag:

Initial number of red marbles in the bag : (5/8) x 240 = 150

Initial number of blue marbles in the bag : (2/8) x 240 = 60

Initial number of green marbles in the bag : 240 - 150 - 60 = 30

Number of red marbles remaining after 1/3 is removed = (1 - 1/3) x 150

2/3 x 150 = 100

Number of green marbles remaining after 2/3 is removed = (1 - 2/3) x 30

1/3 x 30 = 10

Total number of marbles now in the bag : 100 + 10 + 60 = 170

Fraction of blue marbles = 60 / 170 = 6/17

To learn more about ratios, please check: brainly.com/question/9194979

#SPJ1

7 0

2 years ago