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Luden [163]
4 years ago
5

A circle has a radius of 6 ft.

Mathematics
1 answer:
Alekssandra [29.7K]4 years ago
8 0
(5 / 3) * PI = 300 degrees
Sector area = (central angle (degrees) / 360) * PI * radius^2
Sector area = (300 / 360) * 3.14 * 36
Sector area = (5/6) * 3.14 * 36
Sector area = 30 * 3.14
Sector area = 94.2 square feet

Source: http://www.1728.org/radians.htm



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If you apply the changes below to the absolute value parent function, f(x) = [xl,
Rus_ich [418]

Answer:

B:  g(x) = Ix - 4I + 6

Step-by-step explanation:

First, let's describe in a general way the transformations.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Now we have the function:

f(x) = IxI

And we first have a shift of 4 units to the right, this is written as:

g(x) = f(x - 4)

Now we have a shift of 6 units up

This is written as:

g(x) = f(x - 4) + 6

Now, knowing that f(x) = IxI, we can write

g(x) = Ix - 4I + 6

Option B.

7 0
3 years ago
What is the partial derivative of a given function
Marizza181 [45]
Partial differentiation of a function with more than one variables refers to its derivative being taken with respect to one of those variables, while the rest being held as a constant.

An example is the volume of a cylinder given by:
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The volume requires two variables in order to work out the volume, namely the radius and the height.

Using partial differentiation, its partial derivative can become:
\frac{\partial V}{\partial r} = 2\pi rh

This symbol is used in place of the derivative symbol, in order to distinguish total derivatives and partial derivatives.
7 0
4 years ago
Ian bought a discounted item for $50, if it was originally $75. What was the discount rate ? round to the nearest percent
kogti [31]

Answer:

Discount rate=33%

Step-by-step explanation:

Step 1

Determine the discounted amount as shown;

A=I-F

where;

A=discounted amount

I=initial price/original price

F=final price after discount

In our case;

A=unknown

I=$75

F=$50

replacing;

A=(75-50)=25

The discounted amount=$25

Step 2

Determine the discount rate using the formula;

Discount rate=(discount amount/original amount)×100

Discount rate=(25/75)×100=33.33%

Discount rate=33%

3 0
3 years ago
What is the product?
Papessa [141]

Answer:

C. 15a^5b^15

Step-by-step explanation:

(3a^2b^7)(5a^3b^8)= 3*5*a^(2+3)*b^(7+8)= 15a^5b^15

6 0
4 years ago
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In a square, the diagonals...
frozen [14]

Answer:

all the above.

your welcome

3 0
3 years ago
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