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Ahat [919]
3 years ago
9

Consider that ΔDEF is similar to ΔGHI and the measure of ∠E is 58°. What is the measure of ∠H?

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Answer:

58 degrees

Step-by-step explanation:

If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.

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Calculate the potential energy associated with 1 m^3 of water at 607 feet tall taking the mass of 1 m^3 of water to be 1000 kg
Lady bird [3.3K]

Answer:

1813.137 KJ

Step-by-step explanation:

potential energy of the body = mgH

where m is mass in Kg , g= 9.81 m/sec^2 and H= height in m

here m= 1000 kg, g= 9.81 m/s^2  and H= 607 feet = 607×0.305= 185.135 m

hence the potential energy p= 1000×9.81×185.135= 1813137.2 J

= 1813.137 KJ

hence the potential energy associated with 1 m^3 of water at 607 feet tall taking the mass as 1000 kg is = 1813.137 KJ

4 0
4 years ago
What is the value of x?​
WINSTONCH [101]

Answer:

\large\boxed{x=8\sqrt2}

Step-by-step explanation:

\bold{METHOD\ 1}\\\\\text{Use the Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have}\ leg=8,\ leg=8,\ hypotenuse=x.\\\text{Substitute:}\\\\x^2=8^2+8^2\\\\x^2=2(8^2)\to x=\sqrt{2(8^2)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=\sqrt2\cdot\sqrt{8^2}\qquad\text{use}\ \sqrt{a^2}=a\\\\x=8\sqrt2

\bold{METHOD\ 2}\\(look\ at\ the\ picture)\\\\\text{We have}\ a=8.\ \text{Therefore}\ a\sqrt2=8\sqrt2

5 0
3 years ago
H. Four businessman invested a sum of Rs.
balandron [24]

Answer:

The answers are in solutions.

Step-by-step explanation:

  • Four businessmen invested a sum of Rs. 250,000 in the ratio of 3:5:7:10 to start a new business.

(i) The amount invested by each businessman is;

<u>1^st businessman invested:</u>

<u />

\frac{3}{25}  * 250,000 = Rs. 30,000

<u>2^nd businessman invested:</u>

<u />

<u />\frac{5}{25} * 250,000 = Rs. 50,000

<u>3^rd businessman invested:</u>

<u />

<u />\frac{7}{25} *250,000 = Rs. 70,000

<u>4^th businessman invested:</u>

<u />

\frac{10}{25} *250,000 = Rs. 100,000

  • If they gained Rs. 50,000

(ii) The profit each one of them got is;

<u>1^st businessman got:</u>

<u />

<u />\frac{3}{25} * 50,000 = Rs. 6,000

<u>2^nd businessman got:</u>

<u />

<u />\frac{5}{25} *50,000 = Rs. 10,000

<u>3^rd businessman got:</u>

<u />

<u />\frac{7}{25} *50,000 = Rs. 14,000

<u>4^th businessman got:</u>

\frac{10}{25} *50,000 = Rs. 20,000

8 0
3 years ago
A train traveled 325 miles in 5 hours. What was the train's average rate of speed in miles per hour?
Nostrana [21]

65 miles per hour

325/5= 65

7 0
3 years ago
Read 2 more answers
Find the difference between (2x-5) and (3-9x)
BARSIC [14]
I think it might be 11x-8
I'm really sorry if that's wrong
4 0
3 years ago
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