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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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8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
BaLLatris [955]

Answer:

B) Approximately normal, with mean -0.05 and standard deviation 0.083

Step-by-step explanation:

The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.

5 0
3 years ago
If Jake buys 3 new shirts, how many of them would you expect to be t-shirts, and how many would you expect to be collared?
Sophie [7]

Answer:

2 t-shirts ; 1 collar shirt

Step-by-step explanation:

We need to first obtain the ratio of T - shirts to collar shirts :

T - shirts = 10

Collar shirts = 5

Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1

Hence, using the ratio obtained ; if Jake buys 3 new shirts :

Number of T-shirts :

(Ratio of t-shirts / total ratio) * new t-shirts

2/3 * 3 = 2 t-shirts

Collar shirts :

1/3 * 3 = 1

2 t-shirts ; 1 collar shirt

4 0
3 years ago
A painting measure 40 cm by 35 cm how many squared cm does its surface cover
miskamm [114]

Answer: Its surface covers  1400 cm²

Explanation:

Since the length of painting = 40 cm

Breadth of painting = 35 cm

Since we know that area of rectangle is product of dimensions.

∴ Area of painting = length × breadth

= 40 cm × 35 cm

= 1400 cm²

∴ Its surface cover  1400 cm².

8 0
3 years ago
Amy volunteers at an animal shelter. She worked 10 hours in March, 14 hours in April, 18 hours in May, and 22 hours in June.
Zielflug [23.3K]

Answer:

46 hours

Step-by-step explanation:

the pattern is for the hours to increase by 4.

so,july=26

august=30

september=34

october=38

november=42

december=46

hope this helps

plz can i get brainliest:)

4 0
3 years ago
Read 2 more answers
Evaluate the line integral, where C is the given curve. C sin(x) dx + cos(y) dy, where C consists of the top half of the circle
kenny6666 [7]

Parameterize the circular part of C (call it C_1) by

x=4\cos t

y=4\sin t

wih 0\le t\le\pi, and the linear part (call it C_2) by

x=-4-t

y=4t

with 0\le t\le1.

Then

\displaystyle\int_C\sin x\,\mathrm dx+\cos y\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}\sin x\,\mathrm dx+\cos y\,\mathrm dy

=\displaystyle\int_0^\pi(-4\sin t\sin(4\cos t)+4\cos t\cos(4\sin t))\,\mathrm dt+\int_0^1(-\sin(-4-t)+\cos4t)\,\mathrm dt

=0+\displaystyle\int_0^1(\sin(t+4)+\cos4t)\,\mathrm dt

=\cos4-\cos5+\dfrac{\sin4}4

7 0
3 years ago
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