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3 years ago

What is the area of a right triangle with the given vertices?

Mathematics

2 answers:

kap26 [50]3 years ago

7 0

Answer:

Step-by-step explanation:

a I gusse (3,1) I not that smart

Bad White [126]3 years ago

3 0

Answer:

i think it is 5 units squared but im not completely sure

Step-by-step explanation:

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) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80

finlep [7]

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$ for P > 0.2S

Q = 0 for P < 0.2S

$S = \dfrac{1000}{CN}-10$

where:

curve number CN = 80

$S = \dfrac{1000}{80}-10$

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

$Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}$

$Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}$

$Q = \dfrac{(8-0.5)^2}{(8+2)}$

$Q = \dfrac{(7.5)^2}{(10)}$

$Q = \dfrac{(56.25)}{(10)}$

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

4 0

3 years ago

Given: EFGH is a square <br> Find the length of FH.

natka813 [3]

Answer:

B) 3√2

Step-by-step explanation:

FH = √GH²+FG² = √18 = 3√2

8 0

3 years ago

Answer sometimes, always, or never

loris [4]

1.Sometimes
2.Sometimes
3.Always

8 0

3 years ago

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A right cylinder has a height of 20 1/2ft and a diameter of 1 1/5 times it's height what is the volume of the cylinder? Use 3.14

anygoal [31]

Volume (V) of a cylinder is the area of circular base (pi×r^2) times it's length/height (h):
$V = \pi {r}^{2} (h) \: \: \pi = 3.14$
h = 20.5 ft
diameter (d) = 1 1/5 × h, 1 1/5 = 6/5 = 1.20
d = 1.20 × 20.5 = 24.6 ft
radius (r) = 1/2 d = 24.6/2 = 12.3 ft
$V = \pi {r}^{2} (h) \\ V = 3.14 ({12.3}^{2}) (20.5) \\ V = 3.14 (151.29) (20.5) \\ V = 475.05 (20.5) = 9738.54 \: {ft}^{3}$

4 0

3 years ago

Consider this composite figure. 2 cones. The top cone has a height of 5 centimeters and radius of 3 centimeters. The bottom cone

posledela

Answer:

Step-by-step explanation:

3 0

3 years ago

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