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Dvinal [7]
3 years ago
7

A flagpole is 20 feet tall. At 4 p.m. it casts a shadow that is 15 feet long. How far is it from the top of the flagpole to the

end of the shadow?
Mathematics
1 answer:
evablogger [386]3 years ago
3 0

9514 1404 393

Answer:

  25 feet

Step-by-step explanation:

The hypotenuse of the right triangle with legs 15 feet and 20 feet can be found using the Pythagorean theorem:

  h^2 = 20^2 +15^2

  h^2 = 400 +225 = 625

  h = √625 = 25

The distance from the shadow tip to the flag pole tip is 25 feet.

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Compute the permutations and combinations.<br><br> 4 P 4<br><br> 1<br> 4<br> 24
lawyer [7]
The answer is a.
4 P 4 = 24
4 0
3 years ago
Louie is trying to find a rectangular canvas for his art project. Its height
Maru [420]

The length of the diagonal of the canvas is approximately 27 degrees.

The height of the rectangular canvas must reach 18 inches. It must form a 48 degrees angle with the diagonal at the top of the canvas.

<h3>Length of the diagonal Canvas</h3>

Therefore, the length of the diagonal can be found as follows:

Using trigonometric ratio,

  • cos ∅ = adjacent / hypotenuse

where

∅ = 48°

adjacent side = Height of the rectangle = 18 inches

hypotenuse = Length of the diagonal

Therefore,

cos 48° = 18 / h

cross multiply

h = 18 / cos 48°

h = 18 / 0.66913060635

h = 26.9005778976

length of the diagonal ≈ 27 inches

learn more on rectangle here: brainly.com/question/26099609?referrer=searchResults

8 0
2 years ago
Help me please ???!!!!!!!!!!!
pychu [463]
The answer is b


Glllllll
4 0
2 years ago
Kelly has 50% more money than Luis. Luis has $40. If Luis gets $8 more, will Kelly still have more money than Luis? What percent
OverLord2011 [107]

Answer:

Kelly will still have more money than Luis

Kelly will have 25% more

Step-by-step explanation:

Let x represent the amount of money Kelly has and y, Luis

Luis has $40

and Kelly has 50% more money than Luis

Therefore, Kelly has;

50% of $40 + $40

= 0.5*40 + 40

= $60

If Luis gets $8 more, Luis will have;

$8 + $40 = $48

since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis

Difference in their money = $60 - $48 = $12

Therefore, Kelly will have;

12/48 * 100 more than Luis

= 25% more

8 0
3 years ago
Please help with this
ioda

Answer:

Some have multiple choices. See below for additional comments.

  • a) iii
  • b) i
  • c) v
  • d) ii
  • e) iv

Step-by-step explanation:

i -- slope-intercept form. Shows the slope and the y-intercept

ii -- slope-intercept form. Shows the slope and the x-intercept

iii -- intercept form. Shows both the x- and y-intercepts

iv -- standard form.

v -- point-slope form. Shows the slope and one point on the line.

vi -- another point-slope form. Shows the slope and one point on the line

__

With the above forms in mind, ...

a) both intercepts are best shown in form iii

b) the slope is shown in forms i, ii, v, vi. Form i is the most uncluttered.

c) points are shown in forms v and vi. Form v may be least confusing.

d) the sign can be readily determined in form ii.

e) testing the given point is easily done using forms ii and iv. Form iv may be the best for this.

_____

<em>Additional comments</em>

Since each of these forms of the equation has utility in different situations, it can be worthwhile to learn the different forms. For example, I like the standard form for making perpendicular lines, though any of the "slope-" forms can be useful for that, too. The useful form to start with will be the one that best relates to the information given. (For two points given, there is a "2-point form" not shown here.)

6 0
3 years ago
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