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lesantik [10]
3 years ago
13

Find the volume and explain please ASAP.

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer:

1395in^3

Step-by-step explanation:

First find the volume of the cuboid, 15in x 9in x 7in = 945in^3

Then find the volume of the rectangular pyramid using the formula V=lwh/3, the total height is 17in so subtract the height of the cuboid from the total height, giving you 10in.

V=(15in)(9in)(10in)/3 = 450in^3

450in^3 + 945in^3 = 1395in^3

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Based on Pythagorean identities, which equation is true? A. Sin^2 theta -1= cos^2 theta B. Sec^2 theta-tan^2 theta= -1 C. -cos^2
Arturiano [62]

Answer:

D

Step-by-step explanation:

our basic Pythagorean identity is cos²(x) + sin²(x) = 1

we can derive the 2 other using the listed above.

1. (cos²(x) + sin²(x))/cos²(x) = 1/cos²(x)

1 + tan²(x) = sec²(x)

2.(cos²(x) + sin²(x))/sin²(x) = 1/sin²(x)

cot²(x) + 1 = csc²(x)

A. sin^2 theta -1= cos^2 theta

this is false

cos²(x) + sin²(x) = 1

isolating cos²(x)

cos²(x) = 1-sin²(x), not equal to sin²(x)-1

B. Sec^2 theta-tan^2 theta= -1

1 + tan²(x) = sec²(x)

sec²(x)-tan(x) = 1, not -1

false

C. -cos^2 theta-1= sin^2

cos²(x) + sin²(x) = 1

sin²(x) = 1-cos²(x), our 1 is positive not negative, so false

D. Cot^2 theta - csc^2 theta=-1

cot²(x) + 1 = csc²(x)

isolating 1

1 = csc²(x) - cot²(x)

multiplying both sides by -1

-1 = cot²(x) - csc²(x)

TRUE

3 0
3 years ago
Help me solve this equation
klio [65]

Answer:

9 is the value of a in the equation

7 0
3 years ago
The quotient of n and 12 subtracted from 100?
Korvikt [17]

Answer:

100 - 12/n

Step-by-step explanation:

quotient means division so

12/n

and subtracted from means say x - 12/n so

100 - 12/n

If you're looking to evaluate it then it would be

4(25n - 3) / n

5 0
3 years ago
Find the value of x and y.<br><br>help me out ASAP!!​
il63 [147K]

Step-by-step explanation:

13x + 15 = 19x - 9 ( being opposite sides of parallelogram)

19x - 13x = 15 + 9

6x = 24

x = 24 / 6

x = 4

4y + 7° + 10y - 37° = 180° {being co-interior angles }

14y = 180° - 7° + 37°

14y = 210°

y = 210°/ 14

y = 15°

Hope it will help :)

3 0
3 years ago
What is 30/78 simplified
Anton [14]
30/78 simplified is 15/39
3 0
3 years ago
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