V = L * W * H
V = 4 * 4 * 8
V = 16 * 8
V = 128 cubic ft
Answer: 16
Step-by-step explanation:
Multiple the numerators
24 x 4 = 96
Then multiple the denominators
3 x 2 = 6
So 96/6 equals 16
Answer:
Height above the bottom gorge is 113 feet
Step-by-step explanation:
The width of the gorge = 40 feet
The height of the higher cliff = 158 feet
The height of the lower cliff = 98 feet
The length of the bridge = √((158-98)² + 40²) = 72.11 feet
The slope of the bridge = (158-98)/40 = 1.5
The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet
The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°
The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet
Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;
Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.
Answer:
Step-by-step explanation:
The perimeter is basically the outline of the shape. The perimeter of a rectangle is given by P=2l+2w, where l is the length and w is the width. Thus, the perimeter of the flower bed would be given by P=2(3n5o)+2(5n5o).
Answer:
It takes 20 weeks to empty the lake
Step-by-step explanation:
Some rate, let's call it 
empties the lake in 10 weeks and a river (with rate 
can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:
which implies that this rate empties 0.1 of the lake per week, thus, 
.
Using the same idea, we can obtain that the filling rate of the river is:
Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:
, which means that the lake is being empty at a rate of -0.05 week and using the rule of three:
Thus, It takes 20 weeks to empty the lake.
