23, 710, 23, 751, 23, 715 Least to greatest
23, 23, 23, 710, 715, 751
Answer:
a. 113.1 cm^3.
b. 339.29 cm^3.
c. 18 cm.
d. 508.94 cm^3.
e. 169.65 cm^3.
Step-by-step explanation:
a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1
.
b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.
c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.
d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.
e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.
Hope this helps!!
Answer:
The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.
Step-by-step explanation:
Total amount: 16
Red socks: 4
Probability of picking a red sock 4/16
If we take a red sock out and do not replace it, we are left with a total of 15 socks.
Blue socks: 6
So the probability of picking a blue sock will be 6/15
Multiply:
4/16 * 6/15 = 24/240 = 1/10
We have been given an image of a circle A, where BC || DE , mBC=58° and mDE=142°. We are asked to find the measure of angle CFE.
Since segment DC is parallel to segment DE, so measure of arc BD will be equal to arc CE.

We know that sum of all arcs of a circle is equal to 360 degrees. So we can set an equation as:

Since
, so we will get:








Therefore, the measure of arc CE is 80 degrees.
We can see that angle CFE is inscribed angle of arc CE, so measure of angle CFE will be half the measure of arc CE.


Therefore, the measure of angle CFE is 40 degrees.