∠LQK+∠GQL=90º
Therefore:
(4n-15)+(3n)=90
7n=90+15
7n=105
n=105/7
n=15
∠LQK=4n-15=4(15)-15=60-15=45
Answer: ∠LQK=45º
Combine like terms ,
-4x+4y+10
Answer:
Number of cubes that fills the prism=24
Step-by-step explanation:
The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm
Volume of the prism=

Volume of Prism = 

Volume of the Cube:


Number of cubes that fills the prism:

So, the number of cubes that can fill the prism is '24'
For this case we have the following variables:
t: time in seconds.
f (t): height as a function of time.
By the time Grace reaches the pool, the height is equal to zero.
We have the following table:
Time (t) (in seconds) Height f(t) (in meters)
1 25
2 20
3 15
4 0
We observe that the height is equal to zero after 4 seconds.
Equivalently:
Answer:
the following represents the x-intercept of f(t):
Grace reaches the swimming pool after 4 seconds