Answer:
Step-by-step explanation:
Step 1: Write expression
Step 2: Simplify Parenthesis
Step 3: Exponent Exponents
Step 4: Simplify
The equation for the area of a triangle is 1/2 x base x height.
Plug in the values that you already have with h being the missing height value:
30= 1/2 x 12 x h
Simplify:
30=6h
Solve:
30/6=h
5=h
The heoght of the triangle is 5 units
Hi there!
First we need to remember the following.
Now substitute both of the formulas.
Work out the parenthesis.
And finally collect terms.
~ Hope this helps you!
Answer:
A) (5,4)
Step-by-step explanation:
Just take a look at the intersection in the dark blue area. The only point that fits in that area is A) (5,4). And this makes sense, but let's check it anyways:
5 wing + 4 burger < 45
5(6) + 4(3) < 45
42 < 45. If she bought one more burger, she would be at $45, and the problem asked us to be under $45, so this is our answer.
Answer:
10.14 years
Step-by-step explanation:
The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:
V=100-30e^{-0.04t}
The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:
80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years
It will take 10.14 years until 80% of all eligible voters in your county are registered to vote
