Answer:
1529.4 m^3
Step-by-step explanation:
We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.
First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.
Next, we plug into the formula.
V = 1/3*19.6m*234.09m^2
And simplify:
V= 1/3 * 4,588.164m^3
V= 15.29.3879....
Last, round to the tenth
1529.4 m^3
Answer:
6
Step-by-step explanation:
h = 8
Surface area = 66π
2πr(r +h) = 66π
2πr(r + 8) = 66π
r² + 8r = 33
r² + 8r - 33 = 0
r² + 11r - 3r - 33 = 0
r(r + 11) - 3(r + 11) = 0
(r +11 ) (r - 3) = 0
r - 3 = 0 {Ignore r = -11 as radius will not have negative value}
r = 3
Diameter = 3*2 = 6 units
The student with the correct list of steps is student B
<h3>How to determine the correct student?</h3>
The list of steps is to create a line parallel to line AB
Both students are correct in step (1).
However, the step (2) of student A is incorrect.
This is so because, the student did not provide how points C and G are created
Hence, the student with the correct list of steps is student B
Read more about construction at:
brainly.com/question/19449402
#SPJ1
Answer:
A cup of yogurt has 175 calories.
Step-by-step explanation:
We can solve for the amount of calories in one cup of yogurt and in one banana by setting up and solving a system of equations. Given the information in the problem '2 cups of yogurt and 3 bananas is 650 calories' and '4 cups of yogurt and 2 bananas is 900 calories' we can set up two equations:
2y + 3b = 650 and 4y + 2b = 900, where 'y' is the cups of yogurt and 'b' is the number of bananas.
Using elimination, we can multiply the first equation by a factor of '-2' and then add the equations together to solve for the remaining variable:
-2(2y + 3b = 650) = -4y - 6b = -1300
-4y - 6b = -1300
<u>+ 4y + 2b = 900</u>
-4b = -400, or b = 100, so each banana has 100 calories, if each banana has 100 calories: 4y + 2(100) = 900 or 4y = 700 or y = 175. So, each cup of yogurt has 175 calories.
