This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m

3 0

3 years ago

LOTS OF POINTS!?!?!?Write a linear function f with the values f(5)=−1 and f(0)=−1.<br> f(x)=

Brut [27]

Answer:

The euation of the linear function is:

y = -1

Step-by-step explanation:

As the function has the values

at x = 5, f(5) = -1

at x = 0, f(0) = -1

Thus, the two points are:

(5, -1)

(0, -1)

Finding the slope between (5, -1) and (0, -1)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:-1\right)$

$m=\frac{-1-\left(-1\right)}{0-5}$

$m=0$

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.

so at x = 0, y = -1

Thus, the y-intercept 'b' = -1

Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation

y = mx+b

y = 0x + -1

y = -1

Therefore, the euation of the linear function is:

y = -1

4 0

3 years ago

Which function below is the inverse of f(x) = x2 − 9?

Scorpion4ik [409]

F (x)=y
y=2x-9

X Y
-2 -15 y=2 (-2)-9
y=-4+-9
y=-15

-1 -11 y=2 (-1)-9
y=-2+-9
y=-11

0 -9 y=2 (0)-9
y=0+-9
y=-9

1 -7 y=2 (1)-9
y=2+-9
y=-1

2 -5 y=2 (2)-9
y=4+-9
y=-5

Here is all the work

6 0

3 years ago

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