Answer:
B. 55.10
Step-by-step explanation:
Given:
1 pair of Shoes for 1st year = $50
2 pair of Sock for 1st year = $2 each = 2
2= $4
CPI for year 1 = Price of shoes for 1st year + Price of Sock for 1st year= $50 + $4 = $54
Now
1 pair of Shoes for 2nd year = $51
2 pair of Sock for 2nd year = $2.05 each = 2 2.05 =$4.10
CPI for Year 2 = Price of shoes for 2nd year + Price of Sock for 2nd year= $51 + $4.1 = $55.10
Hence CPI for Year 2 is $55.10
B. is the answer because he can just refill the 1 gallon jug to eventually measure out 3 gallons!
Answer:
Volume: 52 Units Squared
Surface Area: 94 units.
Step-by-step explanation:
The volume is relatively simple to find. Just subtract the original volume by the 2x2x2 cube's volume. The original volume is 60. The cube's volume is 2x2x2 which is 8. 60-8=52.
The surface area is harder to find. Try to envision the corner of the rectangle being cut out. We see that each side of the cube has a surface area of 2x2 which is 4. In the picture, we see that three sides of the rectangle has been partially removed. But since each side of the cube has an equal surface area, it is safe to minus 3 of the sides that has been partially removed by 3. However, since that it is the corner, the "dent" that the cube made in the rectangle also needed to be counted. As we said, each of the sides of a cube has a surface area of 4, so since that the dent has 3 sides, we see that the surface area of the dent is 4x3 which is 12. Now we need to count the unaffected sides of the rectangle. There are three of them. Just multiply the edges to find the surface area of each side. Add all of the values up: 11+16+12+8+15+12+20=94 units.
Answer:
E=x
or 110= x ( opposite angles of parallelogram are congurent)
E+D = 180 ( angles on st line)
110+D =180
D=70
D=F ( opposite angles of parallelogram are congurent)
so F=70
Answer:
43.75feet
Step-by-step explanation:
Given the height of the tennis ball expressed as;
h(t) = -15t^2 + 45t + 10
At maximum height, the velocity of the ball is zero
v = dh/dt
dh/dt = -30t + 45
Since dh/dt = 0, hence;
0 = -30t + 45
30t = 45
t = 45/30
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -15(1.5)^2 + 45(1.5) + 10
h(1.5) = -15(2.25)+67.5+10
h(1.5) = -33.75+77.5
h(1.5) = 43.75feet
Hence the maximum height of the ball is 43.75feet
