Answer:
15 inches
Step-by-step explanation:
Volume of a squre based pyramid :
V = a²(h/3)
a = base edge ; h = height
h =1/2 a
V = 4500
4500 = a² * (1/2a) ÷ 3
4500 = a² * a/2 * 1/3
4500 = a³/2 * 1/3
4500 = a³ / 6
27000 = a³
27000 = a³
Take the cube root of both sides
(27000)⅓ = a
30 = a
Recall:
h = 1/2a
h = 1/2(30)
h = 15 inches
Convert to a decimal which would be 0.55 (11/20).
Then you want to multiply 0.55 by 100 (which is a whole number, all % is going to come from 100) to convert to a full % -> 0.55*100
Then you will simplify 0.55*100
You answer will be 55%.
Answer:
Step-by-step explanation:
Let the Number of students in the Robotics club be x
So , the number of students in the Science club must be x+12
(Because it is given that the science club have 12 more students.)
Total number of students = 84
So ,
x+(x+12)=84
combining the like terms we get
2x+12=84
Subtract 12 from both sides
2x=72
Divide both sides by 2
x=36
So ,
Number of students in the Robotics club = 36
Number of students in the Science club =36+12 = 48
Answer:

Step-by-step explanation:
Given:
-----(1)
Simplifying 
From Law of indices,
= 
When 1.0005 is raised to the 7th power, it is approximately 1.0035.
Substituting
into equation(1)

Factor out the GCF
15x^2+20x
15x^2/5x= 3x
20x/5x= 4
Final answer: 5x(3x+4)