9514 1404 393
Answer:
B. 32 square inches
Step-by-step explanation:
Each of the two triangular faces has an area of ...
A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²
The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.
LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²
So, the total area is the area of the two base and the lateral area:
SA = 2A +LA
SA = 2(12 in²) +8 in² = 32 in²
The surface area of the prism is 32 square inches.
4.
4^3 = 64
64X64 = 4096
4^6 = 4096
Answer: it seems to be D, but the equation makes practically no sense!
The value of the factor changes for the different amounts of service years and vacation weeks.
Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.
If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33
If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.
Answer:
20 mph
Step-by-step explanation:
Let speed of Train a = Va mph
Let speed of Train b = Vb mph
Va = Vb + 30
Let time taken for Train a = Ta
Let time taken for Train b = Tb
time taken = distance travelled/speed
Ta = 350/Va = 350/(Vb+30)
Tb = 140/Vb
But they both travel in the same amount of time.
So, Ta = Tb
Cross multiply
Divide both sides by 210
Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point 
with slope m, then the point-slope form of the line is:
The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:
Therefore, the required point slope form of the given line is .
