I assume the volume of the larger pyramid is 108 ft^3, not 108 ft^2.
The scale factor of edges of two solids is x.
The scale factor of their areas is x^2.
The scale factor of their volumes is x^3
The areas have a scale factor of 18/8 = 2.25
The length have a scale factor of sqrt(2.25) = 1.5
The volumes have a scale factor of 3.375
108/3.375 = 32
Answer: 32 ft^3
Answer:
3x + 15 = 3*10 + 15 = 30 + 15 = 45
<u>3x + 15 = 45</u>
Now,
2x + 25 = 2*10 + 25 = 20 + 25 = 45
<u>2x + 25 = 45</u>
Step-by-step explanation:
3x + 15 + 2x + 25 = 90
or, 5x + 40 = 90
or, 5x = 90 - 40
so, 5x = 50
so, x = 50/5 = 10
6 marbles per person.
If we count the number of marbles in total, we get 24: 5+9+4+6= 24
Now that we know the Total # of marbles, we need to know how many people we need to distribute marbles to. We count Brian, Sarah, Jimi, and Juan and get 4 people in total.
To find how many marbles each person needs to receive, we then need to do 24 divided by 4.
When we do this, we get 6 marbles per person.
Answer:
The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.
⇒The water level in the pool cannot exceed 14 feet.
Step-by-step explanation:
The question is on inequalities
Given;
Length= x ft
depth= x-6 ft
Width= x-8 ft
volume ≤ 1680 ft³
Forming the inequality to find length x of the pool
Volume= base area × depth
base area × depth ≤ volume
x(x-8) × (x-6) = 1680
(x²-8x )(x-6) = 1680
x(x²-8x) -6 (x²-8x)=1680
x³-8x²-6x²+48x=1680
x³-14x²+48x=1680
x³-14x²+48x-1680 ≤ 0
⇒The water level in the pool cannot exceed 14 feet...why?
taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;
d=x-6 = 17-6=11 ft
⇒11 ft is less than 14ft
Like radicals<span> are the radicals that have the same index. The numbers which lie in the same root or those numbers whose power are same are called like radicals.</span>
