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Reptile [31]
2 years ago
10

A streetlight that is 10 feet tall casts a 2.5-foot-long shadow. A nearby flagpole casts a 7.5-foot-long shadow. What is the hei

ght of the flagpole?
Mathematics
1 answer:
zhenek [66]2 years ago
6 0

Answer: 30 feet

Step-by-step explanation:

10 / 2.5 = 4

7.5 * 4 = 30

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There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses
Paul [167]

No, the total cost will be less than $1000.

There will be 7 buses with 44 students each and one bus with 39 students. So in there will be 8 buses in all.

8*$95=$760


8 0
3 years ago
Question
mixer [17]

The intervals are given as follows:

  • In range notation: [-282, 20,320].
  • In set-builder notation: {x|x ∈ ℝ, -282 <= x <= 20,320}

<h3>What is the range of elements notation for interval?</h3>

The range of elements notation for interval is given by:

[a,b].

In which:

  • a is the smallest value.
  • b is the greatest value.

In this problem these values are given by:

a = -282, b = 20,320.

Hence the interval in range notation is given by:

[-282, 20,320].

<h3>How to write the interval in set-builder notation?</h3>

The same interval can be written as follows, using set-builder notation?

{x|x ∈ ℝ, a <= x <= b}

Hence, for the situation described in this problem, the set-builder notation for the values is:

{x|x ∈ ℝ, -282 <= x <= 20,320}

More can be learned about notation of intervals at brainly.com/question/27896097

#SPJ1

5 0
2 years ago
A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. How much does
Assoli18 [71]

Answer:

$31.25

Step-by-step explanation:

Let's set up an equation.

$220. 28 - total

$126.53 - cost for parts

3 - # of hours

? - price per hour

3h + $126.53 = $220.28

Subtract $126.53 from both sides.

3h = $93.75

Divide by 3.

h = $31.25

The mechanic charges $31.25 per hour for labor.

Hope that helps.

6 0
2 years ago
A manufacturer wishes to make a cereal box in the shape of a golden rectangle, based on the theory that this shape is the most p
soldier1979 [14.2K]
Let w be the width and l the length of the rectangle. 
Then: \frac{l}{w}= \frac{1+\sqrt5}{2}  \text{ and }lw=104
Solving the above system we get:
l= \frac{1+\sqrt5}{2}w\\= \frac{1+\sqrt5}{2}\frac{104}{l}
Therefore:
l^2=\frac{1+\sqrt5}{2}104 then l=13,which is the length, 
And then the width w=\frac{104}{13}=8 
3 0
3 years ago
Need with these thank you if you help
Aleks [24]
A. p^4/p^7 = p^-3 = 1/p^3
b. 4^3/4^3 = 1
c. 11^2/11^4 = 11^-2 = 1/11^2
d. 6^4/6 = 6^3
3 0
3 years ago
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