Answer:
Step-by-step explanation:
Answer: 
or 8:17
Step-by-step explanation:
For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-
Given: A right triangle with hypotenuse = 68 units
The side adjacent to S = 60
Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get
Thus, the side opposite to S = 32 units
Now, the trigonometric ratio for sin S is given by :-
Hence, the trigonometric ratio for sin S = or 8:17
75 is 125% of 60. Hope this helps! :)
Answer:
- 11040 m³
- k ≈ 0.33
- V = (1/3)Bh
Step-by-step explanation:
The given relation is ...
V = kBh . . . . . for some base area B, height h, and constant of variation k
We are given length and width of the base so we presume it is a rectangle.
B = l·w = 8·11 = 88 . . . . square meters
The given volume tells us the value of k:
1144 = k(88)(39) . . . . . . cubic meters
1144/3432 = k = 1/3 ≈ 0.33
The value of k is about 0.33.
__
Then the volume of the larger pyramid is ...
V = (1/3)(15 m)(46 m)(48 m) = 11,040 m³
The general relationship is ...
V = 1/3Bh
Answer:
height = 78 yd
Step-by-step explanation:
<u>Formula</u>
Volume of a rectangular prism = width × length × height
Given:
- volume = 4,212 yd³
- width = 2 yd
- length = 27 yd
Substituting given values into the formula and solving for height:
⇒ 4212 = 2 × 27 × height
⇒ 4212 = 54 × height
⇒ height = 4212 ÷ 54
⇒ height = 78 yd
