Plug in the dimensions to the formula given using a handy dandy calculator for both problems.
1. The diameter of the bottom of the cone is 4 so the radius (half that) is 2. Volume = 1/3 * pi * (2)² * 6
= 1/3 * pi * 4 * 6
= 1/3 * pi * 24
= 8 * pi
≈ 25.1327 cm³
2. They give you all you need, the radius.
Volume = 4/3 * pi * (6)³
= 4/3 * pi * 216
= 288 * pi
≈ 904.7787 in³
Step-by-step explanation:
1.Given .
2.Being vertically opposite angle.
3.Because sum of all interior angle of a triangle is always 180°.
4.From the statement of 3 number.
5.Because angle 4 = angle 3 and angle 6= angle 1 .
6.(suppose ,< is angle sign) solving this equation,
m<1 + m<2+ m<3 = m<3 + m<5 + m<1
The statement that is true about line segment P'S' is (c) Segment P'S' s 4 units long and lies on a different segment
<h3>How to determine the true statement?</h3>
The complete question is in the attached image
From the image, we have:
PS = 8 units
This means that:
P'S' = 1/2 * PS
So, we have:
P'S' = 1/2 * 8
Evaluate
P'S' = 4
Also, the segment PS and P'S' do not lie on the same segment
Hence, the true statement is (c)
Read more about dilation at:
brainly.com/question/13176891
#SPJ1
4xAnswer: y=9-4x
Step-by-step explanation: Subtract 4X from both sides
20 students.
40% are boys. (40/100)*20 = 0.4 * 20 = 8 boys.
Girls= 20 - 8 = 12 girls.
25% of the boys wear glasses. = (25/100)*8 = 0.25*8 = 2 boys wear glasses.
50% of the girls wear glasses. = (50/100)*12 = 0.50*12 = 6 girls wear glasses.
Total students that wear glasses = 2 + 6 = 8 students.
8 students wear glasses.