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3 years ago

The living room in a new house has the dimensions shown. What is the volume of the room?

Mathematics

1 answer:

Ierofanga [76]3 years ago

8 0

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

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How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

3 years ago

Simplify the expression

NeTakaya

First, solve the parenthesis

Remember to follow PEMDAS, and the left-> right rule

12/3 = 4

4 x 2 = 8

8 + 3 = 11

11 - 7 = 4

Square the remaining number

4² = 4 x 4 = 16

16 is your answer

hope this helps

7 0

3 years ago

Would 64, 32, and 24 inch perimeter make a triangle?

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

the two smaller numbers added together need to be greater than or equal to the larger number

8 0

3 years ago

X - 2/5= 7<br> find out what x is

nalin [4]

Answer:

see below

Step-by-step explanation:

x - 2/5= 7

Add 2/5 to each side

x - 2/5 + 2/5 = 7+2/5

x = 7 2/5

or if

( x-2) /5 = 7

Multiply each side by 5

(x-2) /5 *5 = 7*5

x-2 = 35

Add 2 to each side

x-2+2 = 35+2

x = 37

8 0

3 years ago

Read 2 more answers

find the volume of a right circular cone that has a height of 14.7 ft and a base with a circumference of 13 ft

Doss [256]

Answer:

Volume of the cone =650.06 cubic feet

Step-by-step explanation:

Height of the cone= 14.7 feet

Circumference= 13 feet

Radius = 13/2 = 6.5 feet

Volume of the Cone:

$=\pi r^2\frac{h}{3}$

As, $\pi =\frac{22}{7}=3.14$

Putting the values in the formula:

Volume of the cone is :

$=3.14*(6.5*6.5)*\frac{14.7}{3} \\\\=3.14*(6.5*6.5)*4.9\\\\=3.14*42.25*4.9\\\\=3.14*207.03\\\\=650.06feet^3$

Volume of the cone is 650.06 cubic feet

8 0

3 years ago