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Leviafan [203]
3 years ago
12

The diameter of circle P is 31.6. What is the approximate area of a circle P?

Mathematics
1 answer:
Valentin [98]3 years ago
4 0
Area of a circle=pi(r^2)     
radius=(1/2)diameter 
Area=pi* (15.8)^2
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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an
denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455

Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4

Total number of possible results:

results = 4*455\\results = 1820

3 0
4 years ago
EM Company produces two types of laptop computer bags. The regular version requires $32 in capital and 4 hours of labor and sell
expeople1 [14]

Answer:

Step-by-step explanation:

Given that EM company produces two types of laptop computer bags.

Let regular version produced be R and deluxe version be D

Total capital required

= 32R+38D\leq 2100

Total labor hours required

=4R+6D\leq 280

Sales revenue = 46R+55D

Solving the two constraints we have

10D \leq 140

D can be atmost 14 and hence R can be 49

Otherwise if D is made 0, R = 65 maximum

If R is made 0, D maximum is 46

Thus corner points are (65,0) (0.,46) or (49,14)

Sales revenue for (65,0) = 2990

(0,46) is 2530

(49,14) is 3024

Maximum when R =14 and D is 49

5 0
4 years ago
If the FDIC has a $59.5 billion insurance fund and must use 5.6% of it to cover several failed banks, approximately how much mon
Sonja [21]
<span>The answer is a. $56.17 billion</span>
4 0
4 years ago
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Write an equation in point slope form that passes through (-14, - 6) and the<br> slope is 2/3
s344n2d4d5 [400]

Answer:

y=2/3x - 6

Step-by-step explanation:

use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!

8 0
3 years ago
Is the image an example of an angle?
andrew11 [14]

Answer:

AC. ____ 2. What is another name for line m? a. line JG c. DB b. JGB. → ... Are points B, A, D, and C coplanar? Explain. a. No; one is on plane P. b. Yes ... False; the points to not have to form right angles. d. .... Name all segments parallel to AB. a.

Step-by-step explanation:

7 0
4 years ago
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