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postnew [5]
2 years ago
9

A triangular prism has a volume of 2500 cubic feet. What is the length of the prism if its triangular bases are right triangles,

each with perpendicular sides of 10 and 20 feet
Mathematics
1 answer:
seraphim [82]2 years ago
5 0

Answer:

25 ft

Step-by-step explanation:

V = AH, where A = area of the base, and H = height (length) of the prism

A = bh/2 for a triangle

V = bh/2 × H

2500 = (10)(20)/2 × H

2500 = 100H

H = 25

Answer: 25 ft

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S_A_V [24]
See I have had bad days in school Bc of so much homework and writing but thissssss
3 0
3 years ago
Jack is flying his kite . He runs 100 feet away from his house and lets out 45 feet of string . The angle of elevation from the
fiasKO [112]

Answer: 125.80 ft

Step-by-step explanation:

Asuming the described situation is as shown in the figure below, we need to find the distance h between the kite and Jacks house, but first we need to find the x, y and then d.

How?

We will use trigonometry, especifically the trigonometric functions sine and cosine:

For y:

sin(65 \°)=\frac{y}{45 ft} (1)

Where y is the opposite side to the angle and 45 ft the hypotenuse.

Isolating y:

y=40.78 ft (2)

For x:

cos(65 \°)=\frac{x}{45 ft} (3)

Where x is the adjacent side to the angle.

Isolating x:

y=19.017 ft (4)

Finding d:

d=x+100 ft (5)

d=19.017 ft +100 ft

d=119.017 ft (6)

Now that we have found these values, we have to work with a bigger triangle, where the hypotenuse is the distance between the kite and Jack's house h and the sides are the values calculated in (4) and (6).

So, in this case we will use the <u>Pithagorean theorem</u>:

h^{2}=y^{2} +d^{2} (7)

Isolating h and writing with the known values:

h=\sqrt{y^{2} +d^{2}} (8)

h=\sqrt{(19.017 ft)^{2} +(119.017 ft)^{2}} (9)

h=125.80 ft This is the distance between the kite and the house

3 0
3 years ago
HELP ASAP GIVING BRAINLIST!!!!!!!!!!
Vilka [71]

Answer:

Step-by-step explanation:

6 0
3 years ago
What’s the correct answer for this?
jok3333 [9.3K]

Answer:

1/2

Step-by-step explanation:

The formula that relates two independent events is provided as below:

P(A) x P(B) = P(A⋂B)

=> P(A) x (1/3) = 1/6

=> P(A) = (1/6) x 3

=> P(A) = 3/6 = 1/2

=> Option D is correct

Hope this helps!

5 0
3 years ago
Can someone help please ?
Murljashka [212]

Answer:

-22

Step-by-step explanation:

equantion: (n + 15).6= -42

n = -22

7 0
3 years ago
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