A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams
2 answers:
The main lesson students and teachers should take away from this problem is the correct answer should be: who cares? The group built their frames with a ruler and a saw, got an exact slope of 10/3 and the angle measures didn't matter one bit. The best angles measures are the ones avoided.
But trig as taught is all about angles. Gotta find the angle. Here we have a right triangle and we're interested in the angle at the top of the frame, opposite side 3, adjacent side 10, so
You might be interested in
Answer:
Change per week: $20
Starting amount of money: $550
Step-by-step explanation:
<u>Given equation</u>:
where:
- x = number of weeks
- y = total account balance
<u>Change per week</u>
As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.
Therefore, the change per week in the amount of money in the account is $20.
<u>Initial Balance</u>
The starting amount of money in the account (initial balance) will be the value of y when x = 0:
Therefore, the starting amount of money in the account is $550.
Answer:
Part a)
Part b) The total cost is
Part c) see the explanation
Step-by-step explanation:
Part a) Write a linear equation to represent this situation
Define the variables
Let
x ----> the number of hours
y ----> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or the unit rate
b is the y-intercept or initial value (value of y when the value of x is equal to zero)
In this problem we have that
The unit rate or slope is equal to
The y-intercept or initial value is equal to
substitute
Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm
Remember that
3:00 pm=15:00
so
from 8:30 am to 3:00 pm, the total hours is equal to
15:00 -8:30=6:30=6.5 h
For x=6.5 h
substitute in the linear equation and solve for y
Part c) What does your answer mean in context of the problem?
we have that
y=220.25
That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25