The ratios of sides in a 30°-60°-90° triangle are such that the hypotenuse (AB) is double the length of the shortest side (AC). In your triangle, AC is the hypotenuse of similar triangle ACD, which has AD as its shortest side.
Then
... (1/2)×(AD+54) = AC
... (1/2)×AC = AD
Together, these tell you
... AD = (1/4)(AD +54)
... 3×AD = 54
... AD = 18
Answer:
3x-4 = 0
Step-by-step explanation:
Answer:
F. None of the above
Step-by-step explanation:
A cone is produced by rotating the shape about line m.
The height of the cone will be 0.5 because it's perpendicular to the base.
Since the height is 0.5, the answer is not A or B.
The circular base is formed by the line split into two "1"s. Each "1" is the radius, together, the diameter of the base.
Since r = 1, the answer is not C.
Since d = 2r = 2(1) = 2, the answer is not D.
∴ The answer is none of the above, F.
Answer: it took T.J. 48 months to pay the car loan.
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P = principal or amount loaned
R = interest rate
T = time in years.
I = interest
From the information given,
P = $5800
R = 6.5%
Over the course of the loan, he paid a total of $1508 in interest. Therefore,
I = $1508 Therefore,
1508 = (5800×6.5×T)/100
1508 = 377T
T = 1508/377 = 4 years
Assuming there are 12 months in a year, the number of months in 4 years would be 4×12 = 48 months
Answer:
C.18
Step-by-step explanation:
In the chart it shows that 18 boys like to read science fiction. Hope this helps :)