For a right triangle, the sum of the squares of two shorter side should be equal to the square of the third side. The calculations for each choices are shown below.
a. (5 mm)² + (12 mm)² = 169 mm² ; (13 mm)² = 169 mm² ; EQUAL
b. (20 mm)² + (48 mm)² = 2704 mm² ; (52 mm)² = 2704 mm² ; EQUAL
c. (6 mm)² + (8 mm)² = 100 mm² ; (10 mm)² = 100 mm² ; EQUAL
d. (11 mm)² + (24 mm)² = 697 mm² ; (26 mm)² = 676 mm² ; NOT EQUAL
Therefore, the answer is letter D.
Answer:
1) 11
2)275
3)11
Step-by-step explanation:
0.20 x 55= 11
55 x 5=275
0.2*55=11
Answer: $45
Step-by-step explanation:
As for the information provided,
The weekly rate of wages = $615
In a year there are 52 weeks, thus annual wages = $615 52 = $31,980
But since one week is an unpaid leaves, there will be no wages for such week.
Accordingly, annual wages shall be reduced by wages of a week = $31,980 - $615 = $31,365
Note: When the leaves are paid leaves wages are earned for such period.
Also the annual expected expenses = $31,320
Therefore, expected surplus at year end = $31,365 - $31,320 = $45
Answer:
$3489.39
Step-by-step explanation:
This question is an example of compound interest. To work this out you would first have to convert the percentage of 8% into a decimal. To do this you would divide the percentage of 8 by 100, which gives you 0.08. You would divide the percentage by 100 as percentages of a whole amount are out of 100.
The next step is to add 1 to 0.08, which gives you 1.08. This is because the question is asking to increase the amount by 8% and that as 1 is the whole amount, this means that 1.08 is 8% more than the whole amount.
Then to work out how much there will be after 15 years you would multiply the amount of 1100 by 1.08 to the power of 15, which gives you 3489.39. This is because to work out 8% would only work it out for one year however for compound interest you would need to work out 8% extra and then the next year work out the 8% of the new total.
1) Divide 8 by 100.

2) Add 1 to 0.08.

3) Multiply 1100 by 1.08 to the power of 15.
