Answer:
volume = 13500 
Step-by-step explanation:
For a given pyramid, its volume can be determined by:
volume of pyramid = 
Where: l is the base length, w is the base width and h id the height of the pyramid.
For the given question, l 30 cm, w = 30 cm and h = 45 cm.
So that,
volume = 
= 
= 13500
volume = 13500 
The volume of the pyramid is 13500
.
Answer:

Step-by-step explanation:
Let r represent Linda's walking rate.
We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be
miles per hour.

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.


Since both times are equal, so we will get:

Therefore, the equation
can be used to solve the rates for given problem.
Cross multiply:





Therefore, Linda's walking at a rate of 3 miles per hour.
Linda's bike riding rate would be
miles per hour.
Therefore, Linda's riding the bike at a rate of 12 miles per hour.
Let , smallest integer is x.
So , other one is x + 1.
By , given conditions :

Since, the numbers are positive so, x = -2 is ignored.
Therefore, the numbers are 9 and 10.
Hence, this is the required solution.
Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
Answer:
53 + 3g ≤ 65, g ≤ 4
Step-by-step explanation:
To solve for g:
53 + 3g ≤ 65
First, subtract 53 from both sides.
53 - 53 + 3g ≤ 65 - 53
=> 3g ≤ 12
Divide 3 by both sides
=> 3g / 3 ≤ 12 /3
=> g ≤ 4
Therefore, g ≤ 4
Hope this helps :)