Perimeter is the sum of all a shapes sides.
with that in mind, we know a rectangle has four sides. with 2 pairs being the same.
The length as told is, 5 centimeters less than two times the width. Two times the width would be 2w and five less than that would be minus five. so the length is 2w - 5
now to find the perimeter we do two times the width + two times the length.
2w + 2(2w -5) = 80.
Distribute: 2w + 4w - 10 = 80
Add ten to both sides and combine the 2w & 4w:
6w = 90
Divide both sides by 6: w = 15.
with this we know the width is 15. to find length plug in 15 to the 2w - 5 equation.
2(15) - 5 = 30 - 5 = 25.
Slap on the units and width = 15 cm, length = 25 cm
It will take them 5 Hours to charge the same. The rental charge will be 510.
I did a manual computation per company: My computation is entirely based on trial and error.
Red Bus Co. has a fixed rental rate of 150 and additional rental of 72 per hour while Blue Bus Co. has a fixed rental rate of 240 and additional rental of 54 per hour. Both fixed rental rate are one time charges only and total rental will vary on the number of hours spent in using both vehicles.
Let's start with the Red Bus Co. I will be posting the charges per hour and its running balance. The running balance is the sum.
Fixed Rate 150 Running Balance: 150 => 150 + 0
Hr 1 72 222 => 150 + 72
Hr 2 72 294 => 222 + 72
Hr 3 72 366 => 294 + 72
Hr 4 72 438 => 366 + 72
Hr 5 72 510 => 438 + 72
I'll do the same process with Blue Bus Co.
Fixed Rate 240 Running Balanc: 240 => 240 + 0
Hr 1 54 294 => 240 + 54
Hr 2 54 348 => 294 + 54
Hr 3 54 402 => 348 + 54
Hr 4 54 456 => 402 + 54
Hr 5 54 510 => 456 + 54
Ivan's annual earnings for this bond is $45.00
<h3>What is a bond?</h3>
A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.
Ivan's annual interest earning would be :
= $1,000 x 4.5 %
= $45 per year
Hence, Ivan's annual earnings for this bond is $45.00
Learn more about bonds here : brainly.com/question/1392006
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Answer:
x = 20°
Step-by-step explanation:
The angle opposite to 3x + 20 is also 3x + 20 (opposite interior angles)
The angle opposite to 5x is also 5x (opposite interior angles)
Solve:
Set up the equation by adding all the angles. The sum of these angles should equal 360.
- (3x + 20) + (3x + 20) + (5x) + (5x) = 360
- 16x + 40 = 360
- 16x = 320
- x = 20
x = 20°
-Chetan K
