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marusya05 [52]
4 years ago
12

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

ng expressions would help him find the area of the shaded sector?

Mathematics
1 answer:
Ksivusya [100]4 years ago
4 0

Answer: option D is the correct answer

Step-by-step explanation:

The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.

Area of a sector is expressed as

#/360 × π × r^2 and # is in degrees

Therefore, area of the shaded portion or sector = 45/360 × π × 4^2

= 45/360 × 16π

= 45/360 (16π)

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Evaluate the expression when c= -4 and y= 3 c-5y
Dmitry_Shevchenko [17]

Answer:

-19

Step-by-step explanation:

If c = -4 and y = 3, replace c and y with their corresponding values in the expression, so that the expression will look like this: <em>(-4) - (5 * 3).</em>

Since multiplication comes before subtraction in PEMDAS, you would multiply 5 by 3, which gets you 15.

Now the expression is <em>(-4) - (15).</em> Then, you do the subtraction. -4 - 15 is equal to -19.

Does that help?

7 0
3 years ago
Mason and Nora decided to swim across the river. Mason began swimming 1 minute earlier than Nora.
Mademuasel [1]
Mason:

time = t
V =  6 ft/s
Distance = v * t = 6t

Nora:

time = t - 60 [ I passed 1 minute to seconds]
V = 8 ft/s
Dsitance = v*t = 8 (t - 60)

Both distance are equal

6t = 8(t-60)
6t = 8t - 480
8t -6t = 480
2t = 480
t = 480/2
t = 240 s

Mason had been swimming for 240 seconds when both had swan the same distance.
5 0
4 years ago
Write an equation for the line that passes through (-2,4) and (0,7)
xz_007 [3.2K]

Answer:

y = 3/2x + 7

Step-by-step explanation:

The slops is rise over run, so in this case the slope is 3/2 because it goes up 3 units while going 2 units to the right.

The points (0,7) is on the y axis. This means that 7 is the y intercept

With this information, we can follow the format of the slope intercept equation: y = mx + b

m stands for the slope and b stands for the y intercept. Plugging the information in, our equation is:

y = 3/2x + 7

8 0
3 years ago
What is the length of AC?<br><br> • 10<br> • 12<br> • 15<br> • 20
Gre4nikov [31]
The answer is 12. sorry if i’m wrong
3 0
3 years ago
Joseph has 150 animals on his farm. ⅕ of the animals are chickens, ⅕ of the animals are cows, and the rest of the animals are go
ASHA 777 [7]

Answer:

90 goats

Step-by-step explanation:

Number of chickens in  farm = (1/5) of 150

                                               = \frac{1}{5}*150

                                               = 1 * 30

                                               = 30

Number of cows in  farm = \frac{1}{5}*150

                                         = 1 * 30

                                         = 30

Number of goats in  farm  = 150 - (30 + 30)

                                           = 150 - 60

                                           =  90

4 0
3 years ago
Read 2 more answers
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