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VARVARA [1.3K]
3 years ago
7

Last year, a factory produced 126 widgets per day. After retooling, production increased to 189 widgets per day. What was the pe

rcent increase in productivity?.
Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0
<h3>Answer:   50%</h3>

Work Shown:

change = new - old = 189-126 = 63

percent increase = (change/old)*100%

percent increase = (63/126)*100%

percent increase = (0.50)*100%

percent increase = 50%

50% of 126 = 0.50*126 = 63

126+63 = 189

The answer is confirmed.

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An apple pie has a 12-inch diameter and the angle of one slice is 60 degrees. What is the area of that slice of pie? Use 3.14 fo
konstantin123 [22]
The area of the slice is given by:
 A = k * pi * r ^ 2
 Where,
 r: Apple pie radius
 k: relationship of arcs
 We have then:
 A = (60/360) * 3.14 * (12/2) ^ 2
 A = 18.84 in ^ 2
 Answer:
 The area of that slice of pie is:
 18.84 square inches
8 0
3 years ago
In ΔVWX, the measure of ∠X=90°, WV = 65, XW = 16, and VX = 63. What ratio represents the tangent of ∠V?
djyliett [7]

Answer:

tanV=  adjacent /opposite  =  

\frac{16}{63}

​

Step-by-step explanation:

4 0
3 years ago
A diameter of a circle has endpoints P(-10,-2) and Q(4,6).
kompoz [17]

Answer:

a. (-3, 2).

b.  √65

c.  (x + 3)^2 + (y - 2)^2 = 65

Step-by-step explanation:

a.  The center is the midpoint  of the diameter PQ.

= (-10+4)/2, (-2+6)/2

= (-3, 2).

b. The radius is the distance from the center to a point on the circle.

Take the point (4, 6):

The radius = √((-3-4)^2 + (2-6)^2)

= √65.

c.  The equation of the circle is:

Using the standard form

(x - h)^2 + (y - k)^2 = r^2  where  (h, k) is the center and r = the radius:

it is (x - (-3)^2 + (y - 2) = 65

= (x + 3)^2 + (y - 2)^2 = 65.

4 0
4 years ago
Read 2 more answers
Need help pls (tell me by step)
ser-zykov [4K]

Answer:

To convert pounds to ounces, multiply the amount of pounds by 16.

is there anything else u need help with :)

Step-by-step explanation:

sooo 3x16=48 and then u would divide 48 by 2 and u would get =24 so he can fill 24 cracks

8 0
3 years ago
Read 2 more answers
7. The cost of renting the party room for 10 people is $117.50. The cost of renting the room is $151.25 for 15 people. Write an
Viktor [21]

Answer:

C = 6.75n + 50

Step-by-step explanation:

The equation for the cost of renting the party room can be written in the form;

C= mn+k ......i

Where C = cost

n = number of people

Substituting the 2 cases into the equation we have,

Case 1

117.5 = 10m + k ......1

Case 2

151.25 = 15m + k .....2

Subtracting eqn 1 from 2 we have

151.25 - 117.50 = 15m - 10m

5m = 33.75

m = 33.75/5 = 6.75

Substituting m = 6.75 into eqn 1, we have

117.50 = 10(6.75) + k

k = 117.5 - 67.50

k = 50

Therefore, rewriting the eqn i, we have

C = 6.75n + 50

5 0
4 years ago
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