Answer:
AB= 36 degrees
Step-by-step explanation: AB + BC + AC = 96
but AB = AC [isosceles triangle]
2AB + 24 = 96
2AB = 96 - 24 = 72
AB = 72/2 = 36
AB = 36 degrees.
Answer:
The new car costs more
Old car = $5062.125
New car = $7161.357
Step-by-step explanation:
Manny drives an average of 110 miles per week with his old car. The old car gets 16 miles per gallon. The cost per gallon is $2.65 repair and Maintainance costs an average of $740 per year.
For the old car, to find the amount spent on the car we have
110/16 * 2.65 = $18.21875 / week
There are 52 weeks in a year. We have
10.21875*52 = $ 947.375
947.375 + 740
= $1687.375
= 1687.357 * 3
= $5062.125
The new car cost $6500 over a three year loan process.
The car gets 28 miles per gallon. It requires a maintenance f $10 per month. For the new car to find the amount, we have
110*28 * 2.65 *52 = $541.357
541.357 + 10(12) + 6500
= $7161.357
Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown
San Antonio
Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
(1)
Andra
(2)
Emily
(3)
a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>
Emily's beginning point is the Andra's stop point, that is, .
Emily should begin her turn as the third driver at point (1, -0.5).
b. <em>At what point does Emily's turn to drive end?</em>
Emily's turn to drive end at point (-2.5, -3.75).
Answer:
84 degrees
Step-by-step explanation:
Applying the Cosine Rule (Choice 2 is the correct one) :-
12^2 = 11^2 + 6^2 - 2*11*6 cos Y
144 = 121 + 36 - 132 cos Y
cos Y = (121 + 36 - 144) / 132
cos Y = 0.09848
Y = 84.3 degrees
I think the answer is D
Hope it helps