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damaskus [11]
3 years ago
11

Heron’s formula: Area = Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of tria

ngle PQR? Round to the nearest square foot.
Mathematics
2 answers:
Ann [662]3 years ago
6 0
The answer is 22 square feet. I just took the practice.
VladimirAG [237]3 years ago
4 0
Hello,

Let's assume a,b,c the 3 sides of the triangle.

a=9
b=10
c=24-a-b=5

p= \dfrac{a+b+c}{2} =12\\

S= \sqrt{p(p-a)(p-b)(p-c)} = \sqrt{12*3*2*7} = \sqrt{504} =22,4499...\approx{22}
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In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

===============

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

           78 + 18 = 96

                   96 = 96


4 0
3 years ago
If n = 10 and p = 0.70, then the standard deviation of the binomial distribution is
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6 0
3 years ago
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