Answer:
-2°F
Step-by-step explanation:
The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.
-17 + 15 = -2°F
i. Let t be the line tangent at point J. We know that a tangent line at a point on a circle, is perpendicular to the diameter comprising that certain point.
So t is perpendicular to JL
let l be the tangent line through L. Then l is perpendicular to JL
ii. So t and l are 2 different lines, both perpendicular to line JL.
2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.
Remark. Draw a picture to check the steps
Answer:
c = 6d
Step-by-step explanation:
c = change in y/change in x times days
According to the graph: c = 12/2d
Simplify
c = 6d
Answer:
I won't stop the line for a half hour break.
Step-by-step explanation:
<u>Proportions</u>
One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value
.
There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.
Actual time: 2:00 pm
Final time: 5:00 pm
Rate of production: 2 toasters/minute
Actual production: 560 toasters
Updated goal: 900-560 = 340 toasters
Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.
It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.
Note: The maximum break time that can be granted is 20/2 = 10 minutes
