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Monica [59]
3 years ago
12

a sandbox is in the shape of a right triangle. The two legs measure 9 inches and 16 inches. what is the perimeter of the sandbox

?​
Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

Perimeter = 50 inches

Step-by-step explanation:

Use pythagoreon theorem to find the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 + 25 = perimeter

perimeter = 50

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If marching bands vary from 21 to 49 player, which numbers of players can be arranged in the greatest number of rectangles?
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3 years ago
hree TAs are grading a final exam. There are a total of 60 exams to grade. (a) How many ways are there to distribute the exams a
nalin [4]

Answer:

a. 205320

b. 34220

c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

Step-by-step explanation:

a) The number of ways to dustribute exams among the TA's is:

n / (n - r)!

n= number of things to choose from

r= Choosing r number

60P3= 60! / (60 - 3)!

(60)(59)(58)(57)! / (57)!

=205320

B) The number of ways to dustribute the exams among the TA's is:

n! /(n - r)! r!

60C3= 60! /(60 - 3)! 3!

= 60!/ 57! 3!

= 60 × 59 × 58 / 3 × 2 × 1

= 34220

C) The required number of ways is:

60C25 + 60C20 + 60C15

= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

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3 years ago
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Eddi Din [679]

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

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x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

3 0
3 years ago
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