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amid [387]
3 years ago
6

A car salesman is stringing banners from the top of the roof to a fence pole 20 feet away. The top of the roof is 29 feet from t

he ground. The fence pole is 18 feet high. How many feet of banner rope does he need to reach from the rooftop to the fence pole?
Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0

Answer:

20.88 feet

Step-by-step explanation:

First sketch your problem

identify the right angle triangle in the sketch with a=20ft, b=6 ft and c=?

apply Pythagorean relation, a²+b²=c²

=20²+6²=c²

c²=436

c=20.88 ft

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uysha [10]
They need to sell $500 of stuff

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2 years ago
How do you wright 72 ounces in 6 steaks as a unit rate
bixtya [17]
7 ounces / 6 steaks = 12 ounces per steak

6 steaks / 72 ounces = 1/12 steak per ounce
3 0
3 years ago
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th
Olegator [25]

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

y = \frac{340110}{1 + 377e^{-0.259t}}

Solving (a): 1998

Year 1998 means that:

t =1998 -  1980

t =18

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*18}}

y = \frac{340110}{1 + 377e^{-4.662}}

y = \frac{340110}{1 + 3.562}

y = \frac{340110}{4.562}

y = 74553 --- approximated

Solving (b): 2003

Year 2003 means that:

t = 2003 -  1980

t =23

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*23}}

y = \frac{340110}{1 + 377e^{-5.957}}

y = \frac{340110}{1 + 0.976}

y = \frac{340110}{1.976}

y = 172120 --- approximated

Solving (c): 2006

Year 2006 means that:

t = 2006 -  1980

t =26

So, we have:

y = \frac{340110}{1 + 377e^{-0.259*26}}

y = \frac{340110}{1 + 377e^{-6.734}}

y = \frac{340110}{1 + 0.4485}

y = \frac{340110}{1.4485}

y = 234802 --- approximated

3 0
2 years ago
Maria has 5 Orange 7 green 3 red and 9 toothpicks in a bag. if Maria randomly selects one toothpick out of the bag what is the p
hram777 [196]

Answer: 12 out of 24, so 1/2


Step-by-step explanation:

Add 3 and 9 together since those are the desired colors, then put it out of the total (24) and simplify the fraction down. Hope this helps!

5 0
3 years ago
The volume of a rectangular prism is given by the expression 2x^4+2x^3-4x^2-4x. Write the volume as the product its dimensions.
telo118 [61]
<h3>Answer:  2x(x^2-2)(x+1)</h3>

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

Explanation:

First factor out the GCF 2x

2x^4+2x^3-4x^2-4x

2x*x^3+2x*x^2-2x*2x-2x*2

2x(x^3 + x^2 - 2x - 2)

Then let's factor the expression inside the parenthesis using the factor by grouping method

x^3 + x^2 - 2x - 2

(x^3 + x^2) + (- 2x - 2)

x^2(x + 1) - 2(x + 1)

(x^2 - 2)(x+1)

We see that x^3 + x^2 - 2x - 2 factors to (x^2-2)(x+1)

Overall, the original expression fully factors to 2x(x^2-2)(x+1)

length = 2x

width = x^2-2

height = x+1

The order of length, width, and height doesn't matter.

7 0
2 years ago
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