<img src="https://tex.z-dn.net/?f=500%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%7B12%20%5Ctimes%2012%7D%5E%7B2%7D%20" id="TexForm

All categories

3 years ago

ula1" title="500 = \frac{1}{3} \pi {12 \times 12}^{2} " alt="500 = \frac{1}{3} \pi {12 \times 12}^{2} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Ludmilka [50]3 years ago

3 0

The solution of your problem is shown on the picture below.

You might be interested in

A function is given. h(t) = t2 + 3t; t = −1, t = 2

Arlecino [84]

Answer:

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function $f(x)$ over the interval $a\leq x\leq b$ is given by this expression:

average rate of change = $\frac{net \:change \:in \:y}{change \:in \:x} = \frac{f(b)-f(a)}{b-a}$

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

$h(t)=t^2+3t\\\\t=-1\\t=2$

(a) To find the net change of the function, first we calculate the values of $h(2)$ and $h(-1)$

$h(-1)=(-1)^2+3(-1)=-2\\\\h(2)=(2)^2+3(2)=10$

The net change is simply the difference

$h(2)-h(-1)=10-(-2)=12$

(b) The average rate of change takes the net change and divides it by the change in the $t$ value.

$\frac{12}{2-(-1)} =\frac{12}{3}=4$

5 0

3 years ago

Read 2 more answers

classify the following triangle. check all that apply. A: Acute B: Right C: Obtuse D: Equilateral E: Scalene F: Isosceles

Maurinko [17]

Answer:

Step-by-step explanation:

Acute : An acute triangle is one in which all the angles less than 90 degree.

Right: Any triangle whose one angle measure is 90 degrees is called Right angled triangle.

Obtuse angle: Any triangle whose one angle measures more than 90 degrees is called Obtuse angled triangle.

Equilateral : Any triangle whose all the sides are equal are called equilateral triangle. They also have all the angle equal which measures 60 degrees.

Scalene triangle : The triangle whose length of all the sides are different from each other are called scalene triangle.

Isosceles : the triangle whose two sides length are equal are called Isosceles triangle.

5 0

4 years ago

Y = 2x <br> x + y = −6<br> the answer should be like this (x,y) or ( , )

melisa1 [442]

Answer:

(-2, -4)

Step-by-step explanation:

Given:

The system of equations to solve is given as:

$y=2x\\\\x+y=-6$

In order to solve this system of linear equations, we use substitution method.

In substitution method, we substitute the value of any one variable in the other equation.

So, we substitute the value of 'y' from first equation in the second equation.

This gives,

$x+2x=-6\\\\3x=-6$

Dividing both sides by 3, we get:

$\frac{3x}{3}=\frac{-6}{3}\\\\x=-2$

Now, $y=2x=2\times -2=-4$

Therefore, the solution is (-2, -4)

6 0

3 years ago

Write an equation of a line that goes through the point (-9, 3), and is perpendicular to the line 3x + y = 5

Vlad [161]

To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.

3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.

the slope is -3, so the opposite reciprocal slope is 1/3.

the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.

3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6

substitute a and b into the equation
y = ax + b
y = 1/3x + 6

the equation of the line is y = 1/3x + 6.

3 0

3 years ago

Solve the equation using the Subtraction Property of Equality: x + 1/2 = 5/2

erica [24]

Answer:

x = 2

Step-by-step explanation:

$\frac{5}{2} - \frac{1}{2} = \frac{4}{2}$

and 4/2 = 2

3 0

3 years ago