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RideAnS [48]
3 years ago
10

Pls help!!

Mathematics
1 answer:
masha68 [24]3 years ago
5 0

Answer:

51.9 cm²

Step-by-step explanation:

From the diagram attached,

Area of the white region(segment)(A) = Area minor sector- area of the triangle

A = (πr²∅/360°)-(1/2r²sin∅)............... Equation 1

Where r = radius of the circle, Ф = reflex angle formed at the center of the circle, π = pie

From the question,

Given: r = 7 cm, Ф = 150°

Constant: π = 22/7

Substitute these values into equation 1

A = [(22/7)×7²×150/360]-[(1/2)×7²×sin150]

A = 64.17-12.25

A = 51.92

A = 51.9 cm²

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Solve the following system of equations algebraically:<br> y = x^2+7x−4 <br> y = −x−4
oksian1 [2.3K]
Y = x² + 7x - 4
y = -x - 4

x² + 7x - 4 = -x - 4
      + x       + x
x² + 8x - 4 = -4
           + 4  + 4
     x² + 8x = 0
x(x) + x(8) = 0
    x(x + 8) = 0
x = 0  or  x + 8 = 0
                   - 8  - 8
                     x = -8

      y = -x - 4
      y = -0 - 4
      y = 0 - 4
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(x, y) = (0, -4)
         or
       y = -x - 4
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The solutions are (0, -4) and (8, -4).
7 0
3 years ago
Read 2 more answers
It is recommended that you work this out on graph paper to help answer the questions. Sean plots the locations of 4 places on a
creativ13 [48]

Step-by-step explanation:

since the house, the school and the grocery store all have the same x coordinate (-4), they are on the same vertical line of x = -4.

and that means their distances are simply the differences in their y coordinates.

the only one different in that regard is the community center, but it is on the same y coordinate as the school, so the distance to the school is only the difference in their x coordinates.

A

so, the distance from house to school is

|5 - 3| = |3 - 5| = 2

as it is the same distance in either direction.

B

the distance from house to school to grocery store is the distance from house to school plus the distance from school to grocery store :

2 + |3 - -9| = 2 + |-9 - 3| = 2 + 12 = 14

now we need to find the distance from home to school to community center.

that is 2 + the distance from school to community center.

as mentioned above, since the school and the community center have the same y coordinate, their distance is the difference in their x coordinates :

|-4 - 6| = |6 - -4| = 10

so, in total the way house to school to community center is 2 + 10 = 12.

and that is shorter than the way house to school to grocery store, which is 14.

so, yes, the distance house to school to grocery store (14) is greater than the distance house to school to community center (12).

8 0
2 years ago
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2 years ago
. In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one stu
Sergeeva-Olga [200]

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H_0:p_1=p_2

H_a:p_1>p_2

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