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Alika [10]
3 years ago
14

#1: Which term describes the part of the area of a circle formed by an arc and two radii which intersect the endpoints of the ar

c?
A. Diameter of a circle
B. Sector of a circle
C. Area of a circle
D. Circumference of a circle
#2: What is the area of a 60 ° sector of a circle with area 42 pie m^2?
A. 21 pi m^2
B. 7 pi m^2
C. 6 pi m^2
D. 14 pi m^2
#3: What is the approximate area of a circle whose radius is 3 m long? (Use 3.14 for pi)
A. 28 m^2
B. 9 m^2
C. 19 m^2
D. 3 m^2
#4 and 5 will be next, so stick around! :-)
Mathematics
1 answer:
Gekata [30.6K]3 years ago
4 0
1. sector. If you draw it out, it is like a slice of a pie. When you think sector, think section.

2. A 60 degree sector is 1/6 of a circle which is 360 degrees. So the area is 1/6 * 42 = 7, so B

3. area = pi * r^2 = 3.14 * 3^2 = 28.27, which is closest to A
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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. The di
kogti [31]

The rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min. Computed using differentiation.

The sand is falling onto a conical pile, thus we get the pile in the shape of a cone, whose volume is given as:

<u>V = (1/3)πr²h</u>,

where V represents the volume of the cone, r represents its radius, and h represents its height.

In the question, we are given that the rate of piling is 16 ft.³/min, which implies that:

dV/dt = 16 ... (i)

We are also given that the diameter is three times the altitude (height), which can be shown as:

2r = 3h,

or, r  = (3/2)h.

Thus, the volume can now be shown as:

V = (1/3)π{(3/2)h}²h,

or, V = (3πh³)/4.

Differentiating this with respect to time, we get:

dV/dt = (3π/4)(3h²)dh/dt.

Now, we need to calculate the rate of change of height, when the height is  2 feet, thus we take h = 2

Using dV/dt = 16 from (i), we can write:

16 = (3π/4)(3(2)²)dh/dt.,

or, 16 = 9π(dh/dt),

or, dh/dt = 16/9π = 0.5659 ft./min.

Thus, the rate at which the height of the pile is changing when the height is 2 ft. is 0.5659 ft./min.

Learn more about differentiation at

brainly.com/question/13461339

#SPJ4

6 0
2 years ago
The total cost of renting a banquet hall is a function of the number of hours the hall is rented. The owner of the banquet hall
madam [21]

Answer:

It would be $390 for the 4 hours and the cleaning fees. And the slope would be -13 if you are going from 12 to 7 but would be 13 if you are going from 7 to 12...

Step-by-step explanation:

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3 years ago
the value of a baseball card can be represented by the equation y equals 3x + 39 where X represents the number of years that Rob
Blababa [14]

Answer:

I need the values of either X or Y to solve this. I can solve for what X is though.

Step-by-step explanation:

A: X = -12

B: X =78

C: X = 12.13

I hope this helps you, but since both X and Y are unknown variables, you can't solve it, only simplify (which it already is.)

3 0
3 years ago
The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that current
stellarik [79]

Answer:

Population after 4 years = 49 (nearest unit)

Population after 5 years  = 47 (nearest unit)

Step-by-step explanation:

Yearly decrease = 4.6%

Decrease factor (what's left) = (100-4.6)% = 0.954

Current population, P = 60

population after n years = P(0.954)^n  (to the nearest unit)

Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)

Population after 5 years  = 60(0.954)^5 = 47.4 = 47 (nearest unit)

5 0
3 years ago
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Which point is a solution to the system;
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Answer:

None of the listed

Step-by-step explanation:

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3 0
3 years ago
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