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2 years ago

What is the area of the shaded region of the circle?

Mathematics

1 answer:

eduard2 years ago

6 0

Answer:

12π ft², B

Step-by-step explanation:

Area of circle: radius²π

The area of the entire circle would thus be 6²π, or 36π

Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.

1/3 * total area of the circle = area of the shaded region

1/3 * 36π = 12π

Thus, the answer is 12π ft², or B.

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What is the lmc of two numbers that have no common factors greater then 1

Luba_88 [7]

We can take prime numbers so they don't have a common factor other than 1.

3, and 5.

So we have to list the multiples to find the LCM

3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20, 25

15 is the LCM of 3 and 5

So, you can notice that if two numbers, lets call them a and b, have no common factor, then $a \times b$ is the LCM.

Hope that helped :)

6 0

2 years ago

Find the measures of the supplementary angles that satisfy each case.

seropon [69]

Answer:

67.5°, 107.5°

Step-by-step explanation:

For supplementary angles, their sum equals 180°.

Let x be the first angle and y be the second angle, then

x + y = 180°.

It is given that x = y + 45°.

So x + y = 180°

substituting x into the equation, we have

y + 45° + y = 180°

simplifying, we have

2y + 45° = 180°

collecting like terms, we have

2y = 180° - 45°

2y = 135°

dividing through by 2, we have

y = 135°/2

y = 67.5°

Since y = 67.5°

then x = y + 45°

x = 67.5° + 45°

x = 107.5°

3 0

2 years ago

Find the missing lengths in the given triangle

katovenus [111]

90° becuase 60+30 = 90 and 90+90=180

3 0

2 years ago

Write a division problem that will have a two digit quotient and another division problem that will have a 3 digit quotient. Exp

il63 [147K]

48 divided by 2 = 24
3333 divided by 6 = 555.5

5 0

2 years ago

A tablecloth for a round table has a radius of 21 inches. What is the area of the tablecloth? Use 22/7 for pi

Mekhanik [1.2K]

Your formula here is A=pir^2
Plug in the numbers but instead use 22/7 for pi
A=(22/7)(21)^2
A=22/7*441=1386

Answer is 1386 sq inches

8 0

2 years ago