Answer:
x = 10, y ≈ 11.2
Step-by-step explanation:
Hi there,
We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.
+
=
← Pythagorean Theorem
<u>To find x:</u>
+
= 
100 = 
c = 10
Therefore, the value of x is 10.
<u>To find y:</u>
We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.
+
= 
+ 100 = 225
= 125
a = 
a = 11.2 when rounded to the nearest tenth.
Therefore, the value of y is approximately 11.2.
Hope this explanation is useful. Cheers.
Answer:
4/3π(0.973r³)
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Given the radius of dodge ball rd = r
radius of tennis ball rt = 0.3r
Taking their difference
Volume difference = 4/3πrd³ - 4/3πrt³
Volume difference = 4/3π(r)³ - 4/3π(0.3r)³
Volume difference = 4/3π(r³ - 0.027r³)
Volume difference = 4/3π(0.973r³)
Hence the differmce in volume is 4/3π(0.973r³)
Answer:
<em>(B). 8 units</em>
Step-by-step explanation:
10,000 because you substitute x with 5,000 and 4 times 5,000 equals 20,000 minus 10,000 is 10,000