Answer:
9.86 inches
Step-by-step explanation:
Given:
The cup will be a right circular cone with:-
Radius, r = 3 inches
Volume of cone = 93 cubic inches
Height of the cup, h = ?
Solution:
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By dividing both sides by 9.43

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.
Translating this word problem into an algebraic equation, we get:
3x - 2/5 = 8/5.
Let's combine the constants: adding 2/5 to both sides of this equation yields
3x = 10/5, or 3x = 2.
Solving for x: x = 2/3
Answer:
16 seconds (Approximately)
Step-by-step explanation:
Given:
The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

Final position of the snowboarder is 
Now, plugging in 100 for 'd' and solving for 'x', we get:

Adding -1100 both sides, we get:

Dividing both sides by -4, we get:

Taking square root and neglecting the negative root as time can't be negative. So,

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.
Answer:
The height of building to the nearest foot is h = 36 foot
Step-by-step explanation:
We have given,
Length of ladder leaning against a building, l = 45 foot
Bottom length between ladder and the building , b = 27
Now, we need to find the height of building to the nearest foot.
Let the height of building be h.
Using Pythagoras theorem,

Here, l = 45 , b = 27 and h =?
So,

h² = 45² - 27²
h = √(45² - 27²)
h = 36
The height of building to the nearest foot is h = 36 foot
There would be 4 greater than a right and none are less then a right, they're either obtuse angles, or right