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katrin2010 [14]
3 years ago
9

Create a sector that is one-sixth of the area of a circle with the same radius. Then, calculate each of the following:

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

h uff divino divino alguno divino sigues te ex el su correo su el el el do so

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WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!
Andrew [12]

Answer:

a = \frac{1}{2} , b = 5, and  \frac{2b}{a} = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0     You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0   ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b         Input the value -2 as x. The question states that f(-2) =1.

1 = - (-2)² + b              So switch f(-2) with 1 on the left side only.

1 = - (4) + b                Simplify. Do the exponents first, so (-2)² = 4.

1 = - 4 + b

<u>+4  +4   </u>                    Do inverse operations

5 = b

Next,

f(x) = 2ax +3, x > 0      You would use his equation for f(2). Since 2 is greater than 0.

f(x) = 2ax +3, x > 0   ← You can ignore the x > 0 part.

f(2) = 2a(2) + 3             Input the value 2 as x.

f(2) = 4a +3           Simplify. The equation states f(2) = 5. So switch f(2) with 5

5 = 4a +3              on the left side only.

<u>-3        - 3</u>                     Do inverse operations

2 = 4a                          

\frac{2}{4} = \frac{4a}{4}                           Divide 4 on both sides to isolate the variable a

\frac{2}{4} = a                            Simplify

\frac{1}{2} = a

Then,

The second part says to find \frac{2b}{a}

\frac{2b}{a}

\frac{2(5)}{(\frac{1}{2}) }                  Input both the values of a and b

\frac{10}{\frac{1}{2} }                    Simplify

20.

The answer for a is \frac{1}{2}, the answer for b is 5, and the answer for \frac{2b}{a} is 20.

6 0
3 years ago
Find the dimensions of a rectangle whose perimeter is 22 meters and whose area is 28 square meters.
UkoKoshka [18]
I hope this helps you

3 0
3 years ago
Read 2 more answers
Mary wants to find an expression she can use to determine how far she has traveled. She knows that her distance is represented b
Ivahew [28]

Answer: this one is confusing

Step-by-step explanation:

3 0
2 years ago
What is the area of a triangle that has a base of 15 1/4 in. And a height of 18 in.
Minchanka [31]

Answer:

144

Step-by-step explanation:

Use the triangle formula base times height times 1/2 (1/2xbxh) so 15.25 (15 1/4) times 18 = 288. Then you can divide 288 by 2 or multiply it by 1/2 you get the same answer regardless which the final answer is 144.

8 0
3 years ago
The difference of number p and 2 is at least 5
hichkok12 [17]

Step-by-step explanation:

The difference of number p and 2 is at least 5

means

p - 2 ≥ 5

then

p ≥ 7

6 0
3 years ago
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