Answers:
- Problem 13) M, N, L
- Problem 14) N, L, M
For each answer above, the angles are sorted from smallest to largest.
=================================================
Explanation:
The general rule used here is: the smallest side is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle. This trick only works for triangles.
For problem 13, the smallest angle is M because the shortest side is opposite this angle (side NL = 12). The largest side is MN = 21, making the angle opposite this (angle L) to be the largest angle.
We do not need to compute the actual angle values, though you could if you wanted. To find the angle values, you would use the law of cosines. The steps for this are fairly lengthy, so I'll just use the trick mentioned above.
------
Problem 14 is the same idea. Here LM = 7 is the shortest side this time, leading to angle N as the opposite angle that's the smallest of the three angles. Angle M is the largest angle because NL = 14 is the longest side.
<span>x^2-80=0
</span><span>x^2 = 80
x^2 = 16 (5)
x = 4</span>√5 and x = -4<span>√5</span>
Answer:
Yes, more than half are being used. (292 out of 546 used)
Step-by-step explanation:
The first part of this problem is to determine the total amount of seats on the plane so we can determine what half of the seats would be.
1st class has 14 seats.
Business-class has 64 seats.
And the 4 economy classes have 117 each, meaning 117 * 4 = 468
So the total amount of seats are 14 + 64 + 468 = 546
So half that amount would be 273.
Now we can determine the number of seats being used.
1st class has (6/7) * 14 = 12 seats used
Buisness-class has (7/16) * 64 = 28 seats being used
Economy has 4 * (7/13) * 117 = 4 * 63 = 252 seats being used
So the total amount of used seats would be 12 + 28 + 252 = 292.
Note that 292 is greater than 273, so there is indeed more than half the seats on the plane being used.
Cheers.
Answer:
ABC = 55°
Step-by-step explanation:
Angle A plus Angle C equals Angles B.
Add them together then subtract from 180°.
Answer:
5000
Step-by-step explanation:
Given the question :
The size of debt after m months is respresented by the expression :
36,700 - (5000 + 500m)
Since Michael has decided to dedicate the entirety of his signing bonus towards paying his debt, then that is a constant and one-off payment.
Also, a fixed portion of his salary each month has also been assigned towards paying off his debt,
Then the amount paid from his salary after a certain number of months will be:
Fixed amount × number of months = 500 × m
Amount paid using signing bonus will be a constant = 5000
Total debt amount = 36,700
Size of debt left after m months :
Total debt - ( signing bonus - fixed amount × m)
Hence signing bonus = 5000
