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Murljashka [212]
3 years ago
14

1. Timika is a counselor at a summer camp for young children. She wants to take 20 campers on a hike and wants to

Mathematics
1 answer:
OLga [1]3 years ago
3 0

Answer: N = 20C2 = 190

Therefore, Timika has 190 ways of choosing the pairs of children to lead the way

Step-by-step explanation:

Given;

Total number of children = 20

Number of children to lead the way = 2

Since all the children have equal possibilities of being selected to lead the way, and for the order is not important.

Then the number of ways to select two leaders from 20 children will be given by;

N = 20C2 = 20!/2!(20-2)! = 20!/2!18!

N = 20 × 19/2

N = 190

Therefore, Timika has 190 ways of choosing the pairs of children to lead the way

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Given f(x) = the quantity of 4x plus 1, divided by 3 <br> solve for f-1(3).
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First we need to find inverse function of f(x) which is written in a form of (f(x))^(-1)
That means that we are actually looking for function f(y) and we need to solve this equation for "y"

y=(4x + 1)/3
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4x = 3y - 1
x = (3y - 1) / 4
f(y) = (3y - 1)/4

Now we simply put the value of 3 instead of y and find the answer:
f(y=3) = (3*3-1)/4 = 2

Answer is 2
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2 years ago
19 points if you answer this question
Alborosie
Option d is correct for the question
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2 years ago
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3. A sign company is building a sign with the dimensions shown. What is the area, in square feet, of the sign? Round to the near
Aleks04 [339]

Answer:

84.87sq ft

Step-by-step explanation:

Let ABC be the triangle and  AD be the perpendicular on BC such that BD=DC=7ft.

Now, it is known that \frac{DC}{AC}=cos60^{0}

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Now, in triangle ADC, we have

(AC)^{2}=(AD)^{2}+(DC)^{2}

(14)^{2}=(AD)^{2}+(7)^{2}

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Thus, area of the building is 84.87sq ft.

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2 years ago
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Answer:

\frac{3\sqrt{2} }{2}

Step-by-step explanation:

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= \frac{\sqrt{2} }{2} + \frac{2\sqrt{2} }{2}

= \frac{3\sqrt{2} }{2}

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