Answer:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is
where
is the radius.
The radius of the given sphere is
yards and
.
Therefore, we can substitute in the radius and solve:
cubic yards
Answer:
The length of PQ is <u>18</u> feet.
The length of PR is <u>18</u> feet.
The length of QR is <u>24</u> feet.
Step-by-step explanation:
A way to set an equation up for this problem is:

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

Don’t solve the whole equation, just solve the
part of the equation, which is equal to 24. So the final equation is this:

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
Answer:
d. 6/20
Step-by-step explanation:
There are 5 red, 7 green, 2 blue, and 6 yellow, with a total of 20. Since there are 6 yellow, you have a probability of 6/20.
Answer:
y = -x + 7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
[Standard Form] 5x + 5y = 35
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form.</em>
- Subtract 5x on both sides: 5y = -5x + 35
- Divide 5 on both sides: y = -x + 7