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Dafna11 [192]
3 years ago
8

What is the area of a sector of a circle with a radius of 9 centimeters and formed by a central angle that measures 120°?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer:

Step-by-step explanation:

If this was an entire circle, the area could be found by using

Area = pi * r^2 where r = 9

To take the central angle into account, use this formula

Area = 120/360  * pi * r^2

Area = 1/3 * pi * 9^2

Area = 27 pi

area  = 84.78 cm^2  which isn't there.

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Rewrite the equation y=2|x−3|+5 as two linear functions f and g with restricted domains.
Mama L [17]

Answer:

f(x) = 2+5

g(x) = 2(-(x−3))+5

Step-by-step explanation:

If you remember, an absolute value can have two different answer, a positive and negative answer because the absolute value symbol makes all values in it positive. Example: |-2|=2 and |2|=2

So if  y = 2|x−3|+5

then the two possibilities are

y = 2(x−3)+5    and

y = 2(-)+5

Set one of them equal to f(x) and the other one to g(x)

f(x) = 2(x−3)+5

g(x) = 2(-(x−3))+5

You can also write it as a piecewise function.

y(x)=$\begin{array}{cc}  \{ &     \begin{array}{cc}      -(x-3) & x3    \end{array}\end{array}$

5 0
3 years ago
(a)Use differentiation to find the minimum value of f(x)= 3x^2 - 5x + 10 and the value(s) of x for which this minimum occurs.
elena-14-01-66 [18.8K]

Hi there!

Begin by differentiating f(x) using the power rule:

dy/dx = nxⁿ⁻¹

Therefore:

f(x) = 3x² - 5x + 10

f'(x) = 6x - 5

Set this equation equal to 0 to find the x-intercept:

0 = 6x - 5

5 = 6x

x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.

3 0
3 years ago
Lucy and Kareem each opened a savings account today. Lucy opened her account with a starting amount of $160, and she is going to
Leto [7]

I'm doing the same one right now lol, also if anyone gives you a link , don't open it . it can be a hacker . Step-by-step explanation:

4 0
3 years ago
Jenna bought 3 pairs of socks that cost $2.00 a pair. She also bought a blouse for $5.98. She gave the cashier $15. How much cha
defon

Answer:

$3.02

Step-by-step explanation:

Jenna bought 3 pairs of socks that costed her $2.00 each.

So, $2.00 times the 3 pairs she bought is $6.00.

Jenna also bought a blouse for $5.98

$6.00 from the 3 pairs of socks she bought and $5.98 from the blouse would equal a total of $11.98

Jenna gave the cashier $15.00

$15.00 minus the total of $11.98 is $3.02

Jenna recieved $3.02 back

7 0
3 years ago
What is the inverse operation of a number squared?
Sedbober [7]
<span>Finding the square root.</span>
7 0
3 years ago
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