To solve, lets find the volumes of all of the options...
V=l*w*h
A.
6*3*4=72cm³
12*2*3=72cm³
B.
2*4*9=72cm³
9*4*2=72cm³
C.
3*3*8=72cm³
2*6*8=96cm³
D.
6*3*4=72cm³
9*4*3=108cm³
We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.
Now lets solve for the surface area of A and B...
A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²
B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²
A is the only option with both similar volumes of 72cm³ and different surface areas...
Answer=A
The inscribed angle is half the measure of the intercepted arc:
142°/2 = 71°
Answer:
We have;
Hours (h), Total cost C
1, 5*1 + 10 = $15
2, 5*2 + 10 = $20
3, 5*3 + 10 = $25
4, 5*4 + 10 = $30
5, 5*5 + 10 = $35
Step-by-step explanation:
The given parameters are;
Kevin's fixed charge for lawn cutting = $10
Kevin's charge for lawn cutting per hour = $5
The total cost, C, for cutting lawn cutting by Kevin is C = 5h + 10
So 3/4
divide by 3
3/4 divided by 3=3/4 times 1/3=1/4 times 3/3=1/4 times 1
1/4 pound of pasta per bowl
