Answer:
V = 240π cm^3 , S= 168π cm^2
Step-by-step explanation:
The given figure is a combination of hemi-sphere and a cone
<u>Volume:</u>
For volume
r = 6 cm
h = 8 cm
<u>Surface Area:</u>
For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere
We have to find the lateral height
Hence the first option is correct ..
Answer: (use distributive property then add the like terms)
3(2p + 4) - (3p - 4) = 43
6p + 12 - 3p - 4 = 43
3p - 8 = 43
Step-by-step explanation:
inscribed angles subtended by the same arc are equal.
the central angle of a circle is twice any inscribed angle subtended by the same arc.
the first statement tells us that the 53° angle as well as y stay the same size no matter where on their arcs (between the 2 points connected to O) they would be. so, we don't need to bother with any line lengths.
the 2nd statement tells us that x = 2×53 = 106°. the 53° and x angles refer to the short arc on the right of the 2 points connected to O.
and y and x refer to the larger arc on the left of the 2 line connected to O. that means according to the second statement : 360-x (the big angle around O) = 2y
so,
360 - 106 = 2y
254 = 2y
y = 127°
Answer:
0.15
Step-by-step explanation:
Fp: frequency that the pitcher will throw exactly 4 pitches to a batter=15
Fa: frequency that the pitcher will throw any pitches to a batter=15+20+40+15+10=100
P=Fp/Fa=15/100=0.15
Answer:
6
Step-by-step explanation:
(3x-5)+(2x-1)+(x+1) = 6x-5 = 31
6x = 36
x = 6
