Answer:
Step-by-step explanation:
For this triangle we have to
We want to find the length of b
We know that the sum of the internal angles of a triangle is 180 °
So
Now we use the sine theorem to find the length of b:
Then:
<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.
Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm
The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:
1/12 *[2 *pi*r]=1/12*[12*pi]=pi
so the difference is 19pi
for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them
good luck</span><span>
</span>
Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
Answer:1/12
Step-by-step explanation: if the loop 11/12 of a mile and she rode for 1/2 of a mile then 1/3 , subtract what she rode from 11/12 then you get 1/12
Answer:
$58,600
Step-by-step explanation:
Data provided in the question:
Commission on Sales upto and including $40,000 = 5%
Commission on Sales above $40,000 = 10%
Total commission = $3,860
Now,
For sales of $40,000
maximum commission = 5% of $40,000
= $2,000
Since the commission received is greater than $2,000
Therefore,
The value of s is greater than $40,000
Thus
Amount qualifying for 10% commission = s - $40,000
therefore,
Total commission = $2,000 + 10% of (s - $40,000)
or
$3,860 = $2,000 + 0.10 × (s - $40,000)
or
$1,860 = 0.10 × (s - $40,000)
or
s - $40,000 = $18,600
or
s = $18,600 + $40,000
or
s = $58,600
