Answer:
6. 8 mi³
7. 72 cm³
Step-by-step explanation:
6. Volume of triangular pyramid = ⅓*A*H
Where,
A = area of triangular base = ½*b*h = ½*3*4 = 6 mi
H = height of pyramid 4 mi
Volume = ⅓*6*4 = 8 mi³
7. Volume of triangular prism = ½*bhl
Where,
b = 3 cm
h = 6 cm
l = 8 cm
Volume = ½*3*6*8 = 72 cm³
Answer:
x= 3 inches
Step-by-step explanation:
-The volume of a box is given by the formula:

-We are given the dimensions h=x+2, l=2x+5 and w=4x-1.
We substitute this values in the formula and equate to the volume value.

#We take the values to the same side and equate to zero;

#Applying the zero factor principal to obtain the different values of x:

#We use the quadratic formula to solve the two other values of x:

The two other values are negatives. Ignore them since length cannot be a negative.
The only reasonable value of x is x=3
#We substitute in the formula to validate:

Hence, the value of x is 3 inches
Your equation looks like this:

All you have to do is divide 2/3 by 1/8. Without using a calculator, we can do this through the Keep Change Flip method. Keep the first faction 2/3, change the ÷ to a ×, and flip the 1/8 to 8/1. Now we multiply as usual:
b = 2/3 × 8/1
b = 16/3
3(x-t) + m(x-t) = (3+m)(x-t)
Answer:
45 days
Step-by-step explanation:
first Project using 45 workers, is finished in 15 days.
that is 15(45) = 675 worker•days of labor
second project is expected to take 675 worker•days of labor to complete as well
675 worker•days/ 15 workers = 45 days