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noname [10]
3 years ago
8

*PLEASE ANSWER* What is the area of minor sector AOB?

Mathematics
1 answer:
scoray [572]3 years ago
3 0
<h3>Answer: Approximately 13 square units (choice B)</h3>

===========================================================

Explanation:

The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB

angle AOB = 360 - 215 = 145

angle AOB = 145 degrees

We'll use this later.

Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.

The area of the circle is

A = pi*r^2

A = pi*(sqrt(10))^2

A = 10pi

This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB

area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)

area of sector AOB = (145/360)*10pi

area of sector AOB = 145pi/36

area of sector AOB = 145*3.14/36

area of sector AOB = 12.647 approximately

area of sector AOB = 13 square units approximately, after rounding to the nearest whole number

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8+h>2+3h
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4 0
3 years ago
Factor 48m + 42n to identify the equivalent expressions
Ksenya-84 [330]

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

<em><u>Solution:</u></em>

Given that, we have to factor the given expression

<em><u>Given expression is:</u></em>

48m + 42n

The equivalent expressions can be found by factoring out the common factors of 48 and 42

<em><u>Let us first find the factors of 48 and 42</u></em>

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus the common factors are: 1, 2, 3, 6

Let us factor out 2 from given expression

48m + 42n = 2(24m+21n)

Now factor out 3 from given expression

48m + 42n = 3(16m + 14n)

Now factor out 6 from given expression

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Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

7 0
3 years ago
I just need #21 and #23 answered please.
kykrilka [37]
#21: Even
#23: Neither
7 0
3 years ago
Read 2 more answers
How do I solve this??
pshichka [43]
Well, first you should make both sides of the equation to the power of 2. 
So, you'll have 7X = 1225, and then X is 175 :)

Have a wonderful day! 
6 0
3 years ago
Why does -2(x + 3y) = 18 equal y=-3-x/3? Please helppp
Citrus2011 [14]

Step-by-step explanation:

You're asking why

{- 2(x + 3y) = 18} = y =  - 3 -  \frac{x}{3}

let's transpose the first equation for y

-2x-6y=18

-6y=18+2x

6y=-18-2x

y=-18/6-2x/6

y=-3-⅓x as required

8 0
3 years ago
Read 2 more answers
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