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2 years ago

Find the measure of an interior and an exterior angle of a regular 24-gon

Mathematics

1 answer:

Natalija [7]2 years ago

7 0

Answer:

Exterior: 15 degrees Interior: 165 degrees

Step-by-step explanation:

All shape's exterior angles (total) equal 360 degrees. 360/24=15.

The formula for finding an interior angle is (n-2)*180/n. (24-2)*180/24=165

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Operations with Radical Expressions

lisov135 [29]

Answer: $30\sqrt{11}$

Step-by-step explanation:

$3\sqrt{50} * \sqrt{22}$

= $3\sqrt{5*5*2} * \sqrt{2*11}$

= $3\sqrt{5*5*2*2*11}$

= $3*5*2\sqrt{11}$

= $30\sqrt{11}$

******************************************

Answer: $6\sqrt{30}$

Step-by-step explanation:

$\sqrt{20} * \sqrt{3} * \sqrt{18}$

= $\sqrt{2*2*5} * \sqrt{3} * \sqrt{3*3*2}$

= $\sqrt{2*2*5*3*3*3*2}$

= $2*3\sqrt{5*3*2}$

= $6\sqrt{30}$

********************************************

Answer: $-\sqrt{5}$

Step-by-step explanation:

$4\sqrt{20} - 3\sqrt{45}$

= $4\sqrt{2*2*5} - 3\sqrt{3*3*5}$

= $4*2\sqrt{5} - 3*3\sqrt{5}$

= $8\sqrt{5} - 9\sqrt{5}$

= $-\sqrt{5}$

********************************************

Answer: $4\sqrt{5}$

Step-by-step explanation:

$2\sqrt{5} + 3\sqrt{5} - \sqrt{5}$

= $(2+3-1)\sqrt{5}$

= $4\sqrt{5}$

********************************************

Answer: $46\sqrt{2}$

Step-by-step explanation:

$4\sqrt{32} + 6\sqrt{50}$

= $4\sqrt{2*2*2*2*2} + 6\sqrt{2*5*5}$

= $4*2*2\sqrt{2} + 6*5\sqrt{2}$

= $16\sqrt{2} + 30\sqrt{2}$

= $46\sqrt{2}$

7 0

2 years ago

Please help i’m having a hard time answering it

pshichka [43]

So we know 5ft to 1cm then
4x5=20ft
6x5=30ft

8 0

2 years ago

11. Four less than a number tripled is the same number increased by ten. What is the number?

Sphinxa [80]

Answer:

Step-by-step explanation:

first, we would set up an equation. let 3x-4 represent "four less than a number tripled". "a number" would be represented by x. let x+10 represent "the same number increased by 10".

set 3x-4 and x+10 equal to each other:

3x-4=x+10

next, we would solve this equation for x. first we would get the x together on one side of the equation. we would do this by subtracting x from both sides to remove it from the right side of the equation:

2x-4=10

then, we would get the 2x by itself. we would do this by adding 4 to both sides:

2x=14

finally, we would divide each side of the equation by 2 to find x:

x=7.

The number is 7.

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2 years ago

Each ruby in the crowns 1/2carat.How many total carats are the rubies?

Vitek1552 [10]

Answer:

how many rubys are there

Step-by-step explanation:

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A bulletin board is 23 square feet. What is the approximate perimeter of the bulletin board? And wants to have an area of 32 squ

miskamm [114]

Answer: The answer to the first question is 20

Step-by-step explanation:

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