Answer:
Step-by-step explanation:
Consecutive integers just means like one after another.
This means that:
First number = x
Second number = x + 1
Third number = x + 2
They've told us that the sum of 3 consecutive integers is 78.
First number + second number + third number = 78
Sub the equations we wrote into the formula above and we get:
x + x + 1 + x + 2 = 78
Gather the like terms.
3x + 3 = 78
Subtract 3 from both sides.
3x = 78-3 = 75
Divide both sides by 3 to solve for x.
x = 75/3 = 25
If you look at the very beginning we said that the first number = x.
Therefore it is 25.
Second number = x + 1 = 26
Third number = x + 2 = 27
Answer:
19.47
Step-by-step explanation:
Use the law of sines.
sin(90)/6 = sin(x)/2
Multiply both sides by 2
2 * sin(90)/6 = sin(x)
Use a calculator
0.33333 = sin(x)
sin^-1 0.3333 = 19.47
The formula for the volume of a cone is (1/3)*area of the base * height.
The base is a circle, whose area is pi times radius^2. Here this is pi *
(r^2) = 3.14*(72 / 2 yd)^2 = 4069.44 yd^2. And so the volume is (1/3) *
4069.44 yd^2 * 24yd = 32,555.52 yd^3. I recommend that you find the
most common formulas of the geometrical figures and make a flashcard
that you can use at any moment.
Answer:
50
Step-by-step explanation:
rectangle area = 144 cm
Formula: A= L*H
The give the length which is 16
144 = 16*H
Since they gave u the area instead of the height, work backwards
144/16 = 16/16 *H
9 = H
Now you have the length and height
Length: 16
Height: 9
Perimeter is when you add up all the sides
The top and bottom of the rectangle is the length which is 16 so
16 + 16 = 32
The left and right side of the rectangle is the height which is 9 so
9 + 9 = 18
Now add then both
32 + 18 = 50
So the perimeter of the rectangle is 50
Hope this helped!
Since (density = mass/volume), we can get the mass/weight of the liquid by integrating the density over the interior of the tank. This is done with the integral
which is more readily computed in cylindrical coordinates as