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2 years ago

Sin(-x) = -sin x for all values of x true or false? I

Mathematics

1 answer:

marissa [1.9K]2 years ago

5 0

<span>Sin(-x) = -sin x for all values of x, IT IS TRUE
Because sinx is an odd function</span>

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Suppose that 6 people sitting in a enclosed room are each generating about 400 BTUs of body heat per hour. If the room is 20 ft

Crazy boy [7]

Answer: B) 4 BTUs/ft^3

Step-by-step:

For a cuboid of length L, width W and height H, the volume is:

V = L*W*H

In this case, we have:

L = 20ft

W = 15ft

H = 10ft

Then the volume of the room is:

V = 20ft*15ft*10ft = 3000 ft^3

Now we have 6 people, and each generate 400 BTUs per hour.

Then in total, they generate:

6*400 BTUs per hour

2400 BTUs per hour.

Now we want to find the BTUs per ft^3 produced in 5 hours.

Then if they generate 2400 BTUs per hour, in 5 hours they generate a total of:

5*2400 BTUs = 12000 BTUs

Now we take the quotient between the total BTUs and the volume of the room:

Q = (12000 BTUs)/(3000 ft^3) = 4 BTUs/ft^3

The correct option is B.

8 0

2 years ago

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v

34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2) C ______ D(?)

B: (7, 2) | |

C: (4, 8) A |______| B

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

$B_{x} - A_{x} = 7 - 4 = 3$

Hence, the distance of point D from point C in the x-direction is:

$D_{x} = C_{x} + 3 = 4 + 3 = 7$

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

$C_{y} - A_{y} = 8 - 2 = 6$

Then, the distance of point D from point B in the y-direction is:

$D_{y} = B_{y} + 6 = 2 + 6 = 8$

Therefore, the coordinates of the missing vertex (point D) are:

$D = (D_{x}, D_{y}) = (7, 8)$

b) The area of the rectangle is:

$a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}$

The perimeter is given by:

$p = 2*(3 + 6) = 18 units$

I hope it helps you!

8 0

2 years ago

What's the solution for y+1/2=3/4

creativ13 [48]

$\frac{y+1}{2} = \frac{3}{4}$

2(y+1) = 3 LCD is 4

2*y + 2*1 = 3

2y + 2 = 3

2y = 3 - 2

2y = 1

y = 1 / 2

6 0

2 years ago

The table shows conversions of pounds to ounces. A 2-column table with 4 rows. Column 1 is labeled Pounds with entries 2, 4, 6,

Readme [11.4K]

Answer:

its 96 hope this helps!

Step-by-step explanation:

it's 96 because 128-(128/8)=96

5 0

2 years ago

Which expressions are equivalent to the equation below

Irina18 [472]

Answer:

Polynomial Expression.

Step-by-step explanation:

8 0

2 years ago