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nignag [31]
3 years ago
13

A solider is parachute training. He jumps out of a plane high enough that the pilot determines the solider will land somewhere i

n an 240 foot radius land zone. The pilow forgot to mention to the solider that the parachute has very little maneuverablity (no steering). and there are 30 trees in the landing zone. Each tree from the air practically outlines a circle with a radius of 8 feet. What is the geometric probability that the solider will land in a tree?
Mathematics
1 answer:
Natalija [7]3 years ago
7 0

Answer:

  1/30

Step-by-step explanation:

The area of the landing zone is ...

  A = πr² = π·240²

  landing zone area = π(30²)(8²)

The area of a tree is ...

  A = πr² = π·8²

so the area of 30 trees is ...

  total tree area = 30(π·8²)

and the probability of landing in a tree is the ratio of areas:

  p(landing in tree) = (total tree area)/(landing zone area)

  = (π·30·8²)/(π·30²·8²) = 1/30

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Hamburger is on sale for 20% off the normal $3.70 price. How much can you save per pound by buying the meat on sale? Explain you
Nitella [24]

Answer:

$0.75

Step-by-step explanation:

Given

Normal price - $3.70

If Hamburger is on  sale for 20% off the normal price

The amount that can be saved will  be 20% of $3.70

Amount that can be saved = 20/100 * 3.70

Amount that can be saved  = 1/5 * 3.70

Amount that can be saved  = 3.7/5

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Hence the Amount that can be saved on $3.70 is $0.75

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3 years ago
Somebody confirm that I am not a complete moron please and thanks
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Answer:

B

Step-by-step explanation:

Triangle B because 128°>90°

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3 years ago
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There are 127 lbs of fruits in the store: apples, oranges, and peaches. There are four times as many apples as there are peaches
Pepsi [2]
Let
x------> amount of pounds of apples
y------> amount of pounds of oranges
z-----> amount of pounds of peaches

we know that
x+y+z=127------> equation 1
x=4z-----> equation 2
y=7+z----> equation 3

substitute  equation 2 and equation 3 in equation 1
x+y+z=127----> (4z)+(7+z)+z=127---> 6z=127-7---> 6z=120----> z=20 lb
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4 0
3 years ago
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

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f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

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5 0
3 years ago
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Alecsey [184]
90 written as a decimal is 0.9

90 written as a fraction is 9/10
7 0
3 years ago
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