The time (t) in hours and distance (d) in miles are related by d = 45t. Identify the independent and dependent variables.

The volume of a rectangular prism that has a length of 3 units, a width of 6 units, and a height of 4 units is found by V=LWH=(3

Wittaler [7]

This is the concept of volume of solid materials. Volume is of a rectangular prism is given by:
volume=length*width*height
length=6 units
width=3 units
height=4 units
thus;
volume=6*3*4=72 cubic units

8 0

2 years ago

The function f(x)=/-x is shown on the graph

Katyanochek1 [597]

we know that

For the function shown on the graph

The domain is the interval--------> (-∞,0]

$x\leq0$

All real numbers less than or equal to zero

The range is the interval--------> [0,∞)

$y\geq 0$

All real numbers greater than or equal to zero

so

Statements

case A) The range of the graph is all real numbers less than or equal to $0$

The statement is False

Because the range is all numbers greater than or equal to zero

case B) The domain of the graph is all real numbers less than or equal to $0$

The statement is True

See the procedure

case C) The domain and range of the graph are the same

The statement is False

Because the domain is all real numbers less than or equal to zero and the range is is all numbers greater than or equal to zero

case D) The range of the graph is all real numbers

The statement is False

Because the range is all numbers greater than or equal to zero

therefore

the answer is

The domain of the graph is all real numbers less than or equal to $0$

8 0

3 years ago

Read 2 more answers

Please help me,.........

Nastasia [14]

Answer

19?

Step-by-step explanation:

4 0

2 years ago

Solve for x. x = 5° x = 18° x = 30° x = 36°

sergij07 [2.7K]

Answer:

x=36

Step-by-step explanation:

The 2 angles, ∠EAF and ∠FAB are on a straight line. This means they are supplementary, and add to 180 degrees.

So,

∠EAF +∠FAB =180

We know that ∠EAF is 3x and ∠FAB is 2x, so we can substitute them in

3x+2x=180

Combine like terms

5x=180

Divide by 5 on both sides

x=36

So, x=36 degrees, or the last choice

3 0

2 years ago

The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the

Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be $1.5r$ .

We will use lateral surface area of pyramid to solve our given problem.

$LSA=2\pi r h$ , where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

$LSA=2\pi r\cdot (1.5)r$

Now we will find the total surface area of cylinder.

$TSA=2\pi r(r+h)$

$TSA=2\pi r(r+1.5r)$

$TSA=2\pi r(2.5r)$

$\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}$

$\frac{TSA}{LSA}=\frac{2.5r}{1.5r}$

$\frac{TSA}{LSA}=\frac{25}{15}$

$\frac{TSA}{LSA}=\frac{5}{3}$

Therefore, the ratio of total surface area to lateral surface area is $5:3$ .

4 0

2 years ago