If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept. We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope. One of the points we can use is (0, 3) which is also the y intercept. The y-intercept is found where x = 0. Where x = 0, y = 3. So b = 3. Now for the slope we will use (0,3) and (4,4):
. Using that m value and that b value we have the equation
. There you go!
Hello!
This is a rectangular prism
The equation to find the volume of a rectangular prism is
V = whl
v is volume
w is width
h is height
l is length
Put in the values you know
V = 12 * 4 * 2
Multiply
V = 96
The answer is 96 cubic feet
Hope this helps!
Answer:
13
Step-by-step explanation:
Use the Pythagorean theorem:
- a^2 + b^2 = c^2
- 5^2 + 12^2 = c^2
- 25 + 144 = c^2
- c^2 = 169
- 13
Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.
Answer:
x = 9.27 cm
Volume = 289.2 cm³
Step-by-step explanation:
SA = Surface Area
SA = 229.2 cm²
P = Perimeter of Base
P = 3(6)
P = 18 cm
H = Height of Solid
H = x
A = Area of Base(Equilateral Triangle)
A = 6²√3 / 4
A = 36√3 / 4
A = 9√3
A = 9(1.732)
A = 31.176
A = 31.2 cm²
SA = Surface Area
SA = PH + 2A
229.2 = 18x + 2(31.2)
229.2 = 18x + 62.4
229.2 - 62.4 = 18x
166.8 = 18x
9.266 = x
9.27 = x
x = 9.27 cm
V = Volume
V = AH
V = 31.2(9.27)
V = 289.224
V = 289.2 cm³
