Answer:
Step-by-step explanation:
<u>Solving quadratic equation:</u>
- 5x² - 8x + 5 = 0
- x = (-b ± √b²-4ac)/2a
- x = (8 ± √8²-4*5*5)/2*5
- x = (8 ± √64-100)/10
- x = (8 ±√-36)/10
- x = (8 ± 6i)/10
- x = (4 ± 3i)/5
x = (r ± si)/t
r = 4, s = 3, t = 5
Hello,
The formula for finding the circumference of a circle is
where r is the radius. SO we can plug 4 in for r in this formula because 4 is the radius:
. We are told to use 3.14 for
so we get
. Therefore, the circumference is 25.12 meters.
Answer:
The volume of the pyramid is 80 cubic centimeters.
Step-by-step explanation:
As the formula for the volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.
The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
(20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches.
