Answer:
The height is 36 in
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular based pyramid.
Step one
Given data
Volume v = 1944 in
length of base l = 18 in
width of base w = 9 in
Height h= ?
Step two
we know that the expression for the volume of a pyramid is given as
![volume=\frac{ lwh}{3}](https://tex.z-dn.net/?f=volume%3D%5Cfrac%7B%20lwh%7D%7B3%7D)
substituting our given data we have
![volume = \frac{18*9*h}{3} \\volume = \frac{162h}{3} \\volume= 54h](https://tex.z-dn.net/?f=volume%20%3D%20%5Cfrac%7B18%2A9%2Ah%7D%7B3%7D%20%5C%5Cvolume%20%3D%20%5Cfrac%7B162h%7D%7B3%7D%20%5C%5Cvolume%3D%2054h)
but volume = 1944 in therefore
![1944= 54h\\h= \frac{1944}{54} \\h= 36 in](https://tex.z-dn.net/?f=1944%3D%2054h%5C%5Ch%3D%20%5Cfrac%7B1944%7D%7B54%7D%20%5C%5Ch%3D%2036%20in)
Answer:
c. 0.05
Step-by-step explanation:
At the moment of the first selection, there are five possible gifts in total and only one umbrella among them, so the probability of choosing the umbrella is one fifth:
![P(A)=\frac{1}{5}=0.2](https://tex.z-dn.net/?f=P%28A%29%3D%5Cfrac%7B1%7D%7B5%7D%3D0.2)
At the moment of the second selection, there are four possible gifts left and only one shaving kit among them, so the probability of choosing the kit is one fourth:
![P(B)=\frac{1}{4}=0.25](https://tex.z-dn.net/?f=P%28B%29%3D%5Cfrac%7B1%7D%7B4%7D%3D0.25)
The probability of those two events happening in that order is its product:
P = P(A) · P(B) = 0.2 · 0.25 = 0.05
N=5
Multiply n by 1 to get n which equals 5.
Hope this Helps!!
Answer:
third number = 4,
equation of y, y = 5x - 11
equation of n, n = 4x
equation of x, n + x + y =19
Step-by-step explanation:
so lets write evertything as a n equation. n + x + y =19. N is the first number, x is the second number, and y is the third number. We will write the equation for y as follows 5x - 11. N will be four times the second number, so 4x. If substitute the values for out equation for x we will find what x equals to. So (4x) + x + (5x - 11) = 19
10x = 30
x = 3.
Then you substiute the answer for x in the equation for y. This will get you 5(3) - 11
15 - 11
4 = third number
Answer: 233.33.
Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.