Answer:
972π or 3052.08 if π=3.14(remember to label the answer with your units)
Step-by-step explanation:
The formula for the volume of a sphere is
π
. So, just plug the radius into the formula.
<em> </em>in this case is
which is 729. For,
×729, the 3 and 729 cancel out to create 4×243 which is 972. Just add π to this and you get 972π. If π is 3.14 just multiple 972 and 3.14 to get 3052.08.
Answer:
The factors of 30 are 1, 2,3,5,6,10,15.30
Step-by-step explanation:
1 × 30 = 30
2 × 15 = 30
3 × 10 = 30
5 × 6 = 30
6 × 5 = 30
15 × 2 = 30
30 × 1 = 30
∴ The factors of 30 are 1, 2,3,5,6,10,15.30
Answer:
The mean increases by 3.
Step-by-step explanation:
<u>What's an outlier?</u>
- An outlier is a data point that's very different from the other data points. In this example, the outlier is 50, as the other data points are around the number 80.
<u>What's the mean of a data set?</u>
- The mean is the average of a data set. It's found by adding up all the numbers in the set and then dividing by the number of data points there is.
<u>How do we solve this problem?</u>
First, we find the mean of the data set with the outlier, 50.
Next, we find the mean of the set without the outlier.
Lastly, we subtract 77 from 80 to find the difference.
Therefore, the answer is The mean increases by 3.
Answer:
i. ΔAXC ~ ΔCXB
ii. ΔBCX Is-congruent-to ΔACX
Step-by-step explanation:
From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.
So that:
m<AXC = m<BXC (right angle property)
m<ACX = m<BCX (congruent property)
m<ACX + m<AXC + m<CAX =
(sum of angles in a triangle)
m<BCX + m<BXC + m<CBX =
(sum of angles in a triangle)
Therefore, from the figure it can be deduced that;
i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)
ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)
8 + 6 = 14
Area = length x width
Area of top box : 4 x 2 = 8
Area of bottom box 3 x 2 = 6
Total area = 8 + 6 = 14