This is the concept of algebra, let the original length of the hexagon be x, after the dilation the length became x×7/5=7/5x
the perimeter of the original figure is:
6*x=6x
The perimeter of the enlarged on is:
6*7/5x=8.4x
therefore the perimeter of the new compared to the old will be:
8.4x/6x
=1.4
the new perimeter is 1.4 times the old perimeter
The answer is D because if she picks 4 per hour, all you have to do is 4<span>•8
(4 times 8), 8 representing the amount of hours
Joan picked 32 bushels of apples in 8 hours</span>
Answer:
m=3, n=5
Step-by-step explanation:
(3+√5)² = (3+√5)(3+√5) =
3² + 3√5 + 3√5 + √5·√5 = 9 + 6√5 + 5 = 14+6√5
Answer:
Step-by-step explanation:
The function f(x) represents the amount of money in dollars Raul earns per ticket, where x is the number of tickets he sells. This is represented by the function,
f(x) = 3x2 + 16 - - - - - - -1
The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. The function is represented by
g(x) = the square root of five times x cubed
g(x) = √(5x^3)
To find f(g(x)), we substitute g(x) into f(x).
f(g(x))= 3[√(5x^3)]^2 + 16
<u>Given</u>:
Given that the side length of the base of the square pyramid is 16 inches.
The height of the pyramid is 22.1 inches.
We need to determine the volume of the square pyramid.
<u>Volume of the square pyramid:</u>
The volume of the square pyramid can be determined using the formula,
where B is the area of the base and h is the height of the pyramid.
Substituting B = (16 × 16) and h = 22.1, we get;
Thus, the volume of the pyramid is 1885.9 cubic inches.
