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Valentin [98]
3 years ago
11

I need help with 2 more of the highlighted questions

Mathematics
1 answer:
Gennadij [26K]3 years ago
4 0
14. the length of the arc is found by using the formula 2*PI*r*angle/360
  the circle has a radius of 2 and the known angle is 90 degrees
 so you now have: 2 * pi * 2 * 90/360, since the answer needs to be in terms of PI, remove pi from the equation for now:
2*2 *90/*360 = 1
 the arc length = 1PI, or just PI

16. the area of the parallelogram is L x W :  9 *6 = 54
     the area of the circle is: PI *r^2 = pi * 3^2 = 28.26
 area of shaded region is subtracting the area of the circle from the parallelogram: 54 - 28.26 = 25.74 square inches



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The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x
DaniilM [7]

Answer:

The equation x = y-8

The equation  (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l)</u>:-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

                           (y-8) y = 240

                           y^{2} -8y -240 =0

                            y^{2} -20y+12y -240 =0

                           y(y -20)+12(y -20) =0

                           (y +12)(y -20) =0

                          y = -12 and y = 20

              Y= -12 is not satisfied

              we can choose y = 20

<u>Step(ll):</u>-

Given data x =y-8

  substitute value y = 20 in x = y -8

                                             x = 20-8 = 12

<u>Final answer</u>:-

The first number x = 12 and second number y =20

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If someone could figure out the top question that would be great, thank you so much!
Maurinko [17]
I think i only get some of it. this is what i did

x = -3 to 4y = 0.3 to 3if we use -3 and 3a < -1 < b
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