Answer:
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Step-by-step explanation:
The equation for the volume of a pyramid of base area B and height h is
V = (1/3)·B·h. Here, V = 432 ft³, B = (12 ft)² and h (height of the pyramid) is unknown. First we find the height of this pyramid, and then the slant height.
V = 432 ft³ = (144 ft²)·h, so h = (432 ft³) / (144 ft²) = 3 ft.
Now to find the slant height of this pyramid: That height is the length of the hypotenuse of a right triangle whose base length is half of 12 ft, that is, the base length is 6 ft, and the height is 3 ft (as found above).
Then hyp² = (3 ft)(6 ft) = 18 ft², and the hyp (which is also the desired slant height) is hyp = √18, or √9√2, or 3√2 ft.
The slant height of the pyramid is 3√2 ft, or to the nearest tenth ft,
4.2 ft
Next , solve as you would solve any two -step inequality. Since 2 is added to , you can get by itself on one side of the inequality by subtracting 2 from both sides. Then, to get by itself on one side of the inequality, you need to multiply both sides by 2.D
Well its either +4 units which means 12 or -4 units which means 4.
Both have a distance of 4,
Hope this helps :)
Answer:
A worker with 40 hours of training gets 1700 per month
Step-by-step explanation:
h(40) = 1700
h(40) means the input is 40 so we have 40 hours of training and the output is 1700
A worker with 40 hours of training gets 1700 per month
The required time is mathematically given as
t-150 minutes.
This is further explained below.
<h3>What is the time?</h3>
We know that the volume of the prism is given by.
Volume
Base Area
Base Area
Now,
Given that there is a twenty percent drop in the level of the pond during the first thirty minutes.
Because of this, the volume increases.
Now, the rate of emptying the tank is,
In conclusion, We also know that,
$$
Therefore, Colin must wait for the pond to drain for a total of 150 minutes.
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