Answer:
see explanation
Step-by-step explanation:
Given AB ≅ BC, then
AB = BC = x + 6 , and
AC = AB + BC ← substitute values
3x - 31 = x + 6 + x + 6, that is
3x - 31 = 2x + 12 ( subtract 2x from both sides )
x - 31 = 12 ( add 31 to both sides )
x = 43
Hence
AB = BC = x + 6 = 43 + 6 = 49
AC = 3x - 31 =(3 × 43) - 31 = 129 - 31 = 98
1. It depends on the form of "c". If we realize that a commission percentage of 10% is identical in value to 0.10, then we can compute the commission as 3600c. If the commission percentage of 7% is given as c=7, then we need to compute the commission as 3600·(c/100) = 36c. We will assume the former.
... (Bart's earnings) = 85 + 3600c
2. The cost of a rental is the base fee plus the mileage charge multiplied by the number of miles:
... (cost of renting) = 60.00 + 0.25m
Answer:
Multiplying the variables and numbers in the parentheses by the number next to them.
Step-by-step explanation:
Step-by-step explanation:
there are 50 students and 5 prizes (1 + 1 + 3).
so, already in natural language we would say "there is 1 prize for every 10 students".
formally, remember the rule of probability : desired outcomes over total possible outcomes.
this is here
5/50 = 1/10 = 0.1
your can see it also this way :
if there was only 1 prize, each student would have a chance of 1/50 of winning.
now there are 5 prizes, which gives everybody 5 times the chance of winning. which is then 5×1/50 = 5/50 = 0.1
Answer:
12 y
Step-by-step explanation:
π. x².y = ⅓. π (½x) ².h
=> eliminate π,
x²y = ⅓. ¼x².h
=> eliminate x²,
y = 1/12 h
h = 12 y
so, height of the cone = 12 y
