Step-by-step explanation:
Surface area of a square pyramid is the area of the square base plus the area of the four triangles made from the base and the slant height.
SA = s² + 4(sh/2)
which reduces to:
SA = s² + 2sh
You are told that s = 11 and SA = 319. You can now solve for h:
319 = 11² + 2(11)h
319 = 121 + 22h
198 = 22h
h = 9 ft (answer C)
I hope it's helpful!!
Answer:
The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x
Step-by-step explanation:
For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.
Let's start with the first answer choice.
(f * g)(x)
<em>f(x)=x²</em>
<em>g(x)=1/x</em>
Now, we multiply these terms together.
x² * 1/x = x²/x
Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.
x²/x = x
So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.
Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime
Answer:
120 days
Step-by-step explanation:
Tacos are served every 60 days.
Cheeseburgers are served every 8 days.
Since, both Cheeseburgers and Tacos are served today, the next day on which both will be served is gotten by finding the Lowest Common Multiple of 60 and 8.
To find the LCM,
First, we express the numbers as a product of their prime factors.
60= 2X2X3X5=2²X3X5
8=2X2X2=2³
Next, we take each of the term with the highest power and multiply.
L.C.M = 2³X3X5=120
After 120 days, Cheeseburgers and Tacos will be served on the same day.
