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Zanzabum
2 years ago
6

5. A monument casts a 78 ft. shadow at the same time that a vertical yardstick casts a 4.5 ft. shadow. How high is the monument?

​
Mathematics
1 answer:
rodikova [14]2 years ago
5 0

Hello,

Using Thalès 's theorem:

Let's h the height of the monument.

\dfrac{1}{h} =\dfrac{4.5}{78} \\\\h=\dfrac{78}{4.5} =\dfrac{156}{9} \approx{17.3\ (ft)}

If you don't know what is the Thalès's theorem,

imagine that the similar triangles.

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Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in
Vsevolod [243]

Answer:

r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2}  \\  = 2\pi \times 2 \times 5 + 2\pi {2}^{2}  \\  = 20\pi + 8\pi \\  = 28\pi \\  = 28 \times 3.14 \\  = 87.92 {unit}^{2}  \\ thank \: you

7 0
2 years ago
I would like a Brainiac to help me with this thing - Thanks!
klemol [59]
Lateral surface area = (23×12.04)+(23×8)+(23×9)
= 276.92 + 184 + 207
=667.92
= 668m²

Total surface area = 668 + 1/2(2×8×9)
= 668 + 72
= 740m²
7 0
3 years ago
A rectangle has a height of 5y; and a width of 3y3 – 8y2 + 2y.
Korvikt [17]
Area= 15y^4-40y^3+10y^2

4 0
2 years ago
Can someone plz help me on this plz I beg u plz
JulsSmile [24]
<h3>Answer:  25w+200 > 750</h3>

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

Explanation:

He starts off with 200 cards. Then he adds on 25w more cards for each week (w). Overall, he'll have 200+25w cards

We can think of it like this:

  • After 1 week, he adds on 25*1 = 25 cards
  • After 2 weeks, he adds on 25*2 = 50 cards total
  • After 3 weeks, he adds on 25*3 = 75 cards total
  • After 4 weeks, he adds on 25*4 = 100 cards total, and so on.
  • After w weeks, he adds on 25w cards total

So that's another way to see where the 25w comes from.

The expression 200+25w is the same as 25w+200. This is because we can add two numbers in any order.

------------

Since he wants to know when he'll have more than 750 cards, this means we set 25w+200 greater than 750.

That's how we get to the answer of 25w+200 > 750

Notice how there isn't a line under the inequality sign. We aren't using the "greater than or equal to" symbol here. We want to know when the cards gets over 750, but we don't want to know when it's equal to 750.

5 0
3 years ago
15
Butoxors [25]

Step-by-step explanation:

1/2 represents every fraction, where the denominator (bottom part) is twice the numerator (top part).

like 4/8 or 6/12 or 128/256 or ...

what do we need in the denominator to calculate with 15/16 ?

the same : 16.

and what is half of 16 ? 8.

so, we need the 1/2 based on 16th = 8/16.

so, the dog ate 8/16 (1/2) of the original 15/16.

what was left was

15/16 - 8/16 = 7/16 pound

7 0
2 years ago
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