In order to find the volume of a triangular pyramid, you must use the formula (abh)/6. Therefore, I believe the answer is 12 (if [a = a] [b = h] and [c = b]).
Answer:
C
Step-by-step explanation:
This triangle has a right angle so it is right.
It also has three different sides so it is scalene.
C is the answer
Answer:
The tip of the man shadow moves at the rate of 
Step-by-step explanation:
Let's draw a figure that describes the given situation.
Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.
Here it forms two similar triangles.
Let's find the distance "y" using proportion.
From the figure, we can form a proportion.
Cross multiplying, we get
15(y -x) = 6y
15y - 15x = 6y
15y - 6y = 15x
9y = 15x
y = 
We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).
----(1)
We are given 
. Plug in the equation (1), we get
Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.
Answer:
4.6
Step-by-step explanation:
For this question, we need the opposite side and have the opposite
with that said, out of SOH, CAH, TOA it's fastest to use TOA
tan(75)=17/x
17/(tan(75))=x
x= 4.555136271
which rounds to
4.6
Answer:
Number of months spent in first gym = 9
Number of months spent in second gym = 3
Step-by-step explanation:
Let she spent x months in a year at first gym and y months in a year at second gym
Now, there are 12 months in one year
⇒ x + y = 12
y = 12 - x .......(1)
Now, total money she spent in one year = $825
⇒ 75·x + 50·y = 825 .........(2)
Putting value of y from equation (1) in equation (2)
75·x + 50·(12 - x) = 825
⇒ 75·x - 50·x + 600 = 825
⇒ 25·x = 225
⇒ x = 9
Now, putting this value of x in equation(1)
⇒ y = 12 - 9
⇒ y = 3
Hence, number of months spent in first gym = 9
And number of months spent in second gym = 3
