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GarryVolchara [31]
3 years ago
7

Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.

Mathematics
1 answer:
Kazeer [188]3 years ago
7 0

Answer:

π×10^2=314.15

Step-by-step explanation:

hope it helps

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Bella solves the equation 4(x + p) = 12, where p is a constant. He states that solution to the equation is x = -5. Determine the
liq [111]

Answer:

P=3

Step-by-step explanation:

To solve for p, we can simply substitute his answer in place of x, changing the equation to 4(-5+p)=12. Now we just have to solve it.

1. Apply the distributive property. We can do this by multiplying 4 by -5 and p. Our equation is now -20+4p=12

2. Add 20 on both sides. Since the 20 is negative, we would add it on both sides, canceling out the -20 and leaving us with the equation 4p=32.

3. Now divide 12 by 4. We want to get p alone by itself, so we divide both sides by 4, leaving us with the solution p=3.

Hope this helps! :D

4 0
2 years ago
The following is a linear programming formulation of a labor planning problem. There are four overlapping shifts, and management
dexar [7]

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1=  13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the  number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting  X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12  in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2  ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

6 0
3 years ago
You are given a circle of radius 12. What is the segment area of an arc that is 90 degrees?
Pachacha [2.7K]

Answer:

36π - 72 sq in.

Step-by-step explanation:

π×12² = 144π

90/360 × 144π = 36π

Triangle = ½ × 12 × 12 = 72

Segment = 36π - 72

7 0
3 years ago
Read 2 more answers
a shipping company charged $15 to ship a package and 5% to ensure the package what was total cost to ship this
postnew [5]

Answer:

15.75

Step-by-step explanation:

So we know 5% is 1/20 out of 100 (20x5=100) so then we need to set up the equation to find how much 5% of 15 is. Which is .75 cents. So we then add the 75 cents to the already $15 shipping fee to get an answer of 15 dollars and seventy five cents.

6 0
2 years ago
Read 2 more answers
What is the percent decrease from 72 to 45
Marizza181 [45]

Answer:

37.5%

Step-by-step explanation:

72-45=27

27/72=x/100

2700/72=x

x=37.5

37.5%

5 0
3 years ago
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