Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
Answer:
2x-8
Step-by-step explanation:
The word "from" tells you that the first part of the sentence should be at the back of the equation because you're taking from the product of 2 times a number, the number is unknown so it is known as "x."
Answer:
The inverse for log₂(x) + 2 is - log₂x + 2.
Step-by-step explanation:
Given that
f(x) = log₂(x) + 2
Now to find the inverse of any function we put we replace x by 1/x.
f(x) = log₂(x) + 2
f(1/x) =g(x)= log₂(1/x) + 2
As we know that
log₂(a/b) = log₂a - log₂b
g(x) = log₂1 - log₂x + 2
We know that log₂1 = 0
g(x) = 0 - log₂x + 2
g(x) = - log₂x + 2
So the inverse for log₂(x) + 2 is - log₂x + 2.
Answer:
D.) 1 3/5
Step-by-step explanation:
You need 1/5 cups of flour 8 times so you need to multiply 1/5 by 8.
1/5 × 8 = 8/5
Then simplify.
8/5 = 5/5 + 3/5 = 1 3/5
To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.
Spent so far:
... 273.98 + 3×7.23 +42.36 = 338.03
Remaining available funds:
... 500.00 -338.03 = 161.97
The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.
Mr. Traeger can buy two (2) cycling outfits with the remaining money.
_____
The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.
