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2 years ago

What is the equation of the line that passes through the point (-5,6) and has a slope of o?

1 answer:

5 0

Y = 6
Because the slope is 0 and in slope intercept form the equation of a line is y = mx + b where m is the slope and b is the y intercept

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In a water treatment plant, water passes through a cone-shaped filter with a height of 4 m and a diameter of 9 m. The water flow

kicyunya [14]

B is the answer!!!!!!!!1

3 0

3 years ago

How do you solve this

Dimas [21]

80% because I did the math

3 0

3 years ago

N=8 x=9<br> What is 2n+(-6)?

Margaret [11]

The answer is 10, you would multiply 8 by 2 because 8 represents N , it would be 16-6

7 0

3 years ago

Read 2 more answers

(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?

musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

$l=\frac{b}{\cos(x)}$ .

$l=\frac{40}{\cos(30)}$

Input into calculator:

$l=46.188$ (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

$h^2+40^2=46.188^2$

$h^2+1600=2133.331$

Subtract 1600 on both sides:

$h^2=533.331$

Take square root of both sides:

$h=23.094$

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

$\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$

$\tan(30)=\frac{h}{40}$

Multiply both sides by 40:

$40\tan(30)=h$

Input into calculator:

$23.094=h$

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0

3 years ago

Read 2 more answers

The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasing at a rate of 2.1 in/s. At

givi [52]

Answer:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

Step-by-step explanation:

Geometrically speaking, the volume of the right circular cone ( $V$ ), in cubic inches, is defined by the following formula:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h$ (1)

Where:

$r$ - Radius, in inches.

$h$ - Height, in inches.

Then, we derive an expression for the rate of change of the volume ( $\dot V$ ), in cubic inches per second, by derivatives:

$\dot V = \frac{1}{3}\cdot \pi \cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h)$ (2)

Where:

$\dot r$ - Rate of change of the radius, in inches per second.

$\dot h$ - Rate of change of the height, in inches per second.

If we know that $r = 120\,in$ , $\dot r = 1.5\,\frac{in}{s}$ , $h = 107\,in$ and $\dot h = -2.1\,\frac{in}{s}$ , then the rate of change of the volume is:

$\dot V \approx 8670.796\,\frac{in^{3}}{s}$

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

8 0

3 years ago