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Alexxandr [17]
3 years ago
14

Find the area of each sector.

Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

D. \frac{525\pi}{8} m²

Step-by-step explanation:

Area of the sector = ½*r²∅

Where,

Radius (r) = 15 m

Angle in radians (∅) = \frac{7\pi}{12}

Plug in the values into the equation

Area of sector = \frac{1}{2} * 15^2 * \frac{7\pi}{12}

Area of sector = \frac{1}{2} * 225 * \frac{7\pi}{12}

Area of sector = \frac{1*225*7\pi}{2*12}

Area of sector = \frac{1,575\pi}{24}

Simplify

Area of sector = \frac{525\pi}{8}

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A pan is heated to 409°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 7
Irina18 [472]

Answer: C. 265.9^{\circ}F

Step-by-step explanation:

Given: The formula below can be used to find D, the difference in temperature between the pan and the room after t minutes.

D = 338e^{-0.03t}

At t= 8 minutes, we get

D = 338e^{-0.03(8)}\\\\\Rightarrow\ D = 338e^{-0.24}\\\\\Rightarrow\ D = 338(0.786627861067)\\\\\Rightarrow\ D = 265.88\approx265.9^{\circ}F

The approximate temperature of the pan after it has been away from the heat for 8 minutes=   265.9^{\circ}F

6 0
3 years ago
For what value of C will y = sin(x - C) be an even function?<br> a. 2π<br> b. π<br> c. π/2
telo118 [61]

Answer:

you are actually incorrect the answer is  2π

3 0
3 years ago
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What number divided by 5 equals 6
djyliett [7]
The answer your looking for is 30
30 ÷ 5 = 6
6 0
3 years ago
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Find the volume of this cylinder. Use 3 for .
vivado [14]

Answer:

225ft³

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is the answer

4 0
3 years ago
The endpoints of directed line segment PQ have coordinates of P(-7, -5) and Q(5,3). What are the coordinates of point A, on PQ,t
Kamila [148]

Answer:

Therefore the co-ordinate of the point A is (-4,-3)

Step-by-step explanation:

If A(x₁,y₁) and B(x₂,y₂)  is divided by a point in ration m:n internally.

Then the co-ordinate of the point is  (\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_2}{m+n}).

Given two points are P(-7,-5) and Q(5,3).

A point A on PQ, that divides PQ into a ratio of 1:3.

Since the point A lies on the PQ.

Therefore it divides the line segment PQ internally.

Here x₁= -7,y₁= -5 ,  x₂= 5,y₂ =3, m=1,n=3

Therefore the co-ordinate of the point A is

(\frac{5.1+(-7).3}{1+3},\frac{3.1+(-5).3}{1+3})

=(\frac{-16}{4},\frac{-12}{4})

=(-4,-3)

6 0
3 years ago
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