Answer:
C. 17, 12, 7
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.
In choices A, B, and D, there is at least one sum of the lengths of two segments that is less then the length of the third segment. That shows that choices A, B, and D cannot form triangles.
A. 8 + 7 = 15 < 16 No
B. 9 + 7 = 16 = 16 No
D. 11 + 5 = 16 < 17 No
C.
17 + 12 = 29 > 7
12 + 7 = 19 > 17
17 + 7 = 24 > 12
Yes
Answer:
53
Step-by-step explanation:
Sol'n
Let the remaining angle of a triangle be x.
x+71+56=180 (Sum of angles of a triangle is 180°)
or, x+127=180
or, x=180-127
.:, x=53°
.:, The measure of third angle is 53°
The interest is compounded quarterly because the formula is
A=p (1+r/k)^kt
A it's 18810.67 but I will assume it's unknown ?
P present value 7350
R interest rate 0.045
K compounded quarterly 4
Now solve the formula as the interest is compoundedquarterly
A=7,350×(1+0.045÷4)^(4×21)
A=18,810.67
So the answer is quarterly
So, we are given the speed in mi/min. We want to convert this to mi/hr. We can do this through cross multiplication.
(11 miles/1min) * (60min/hr) = 660 mi/hr
Now, we need to find the total distance flown:
TD= 6 trips*(500 miles/1 trip) = 3,000 mi
Lastly, we find total time using our converted speed and total distance.
speed = (total distance (in miles))/(total time (in hours))
660mi/hr= 3000mi / t
660t=3000
t=3000/660
t= 4.54 hrs
Answer: The plane will fly a total of about 4 and a half hours.
