Answer:
x = 12.
Step-by-step explanation:
If P(5,4),Q(8,10) and R(x,18) are collinear
then the slope of PQ equals the slope of QR
hence:
(10 - 4)/(8 - 5) = (18 - 10)/(x - 8)
6/3= 8/(x - 8)
2 = 8/(x - 8)
multiplying both sides by (x - 8) gives:
2(x - 8) = 8
2x - 16 = 8
2x = 8 + 16 = 24
hence x = 12
Answer:
Step-by-step explanation:
Part A
<u>Givens</u>
b1 = 265
b2 = 180
h = 90
<u>Formula</u>
Area = (b1 + b2)*h / 2
<u>Solution</u>
Area = (265 + 180) * 90 / 2
Area = 445 * 90 / 2
Area = 40050 / 2
Area = 20025 square meters
Part B
1 hectare = 10000 square meters
x hectare = 20025 square meters Cross multiply
x * 10000 = 20025 * 1 Divide by 10000
x = 20025 / 10000
x = 2.0025
Rounded to the nearest hectare that would be 2
Part C
The best shape is a square.
That would mean that the area is given by
s^2 = 20025
sqrt(s^2) = sqrt(20025)
s = 141.51
Each side of the rectangle (square) = 141.51
Check the attached file for the solution.
Part 1:-
- cost to park of a day is= $25+$43+$61+$79 =$208
- and the hourly rate to a paddle boat =208÷24=$8.6 per hour
______________________
<h3>What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.</h3>
The total cost to rent the boat will be
<u>3.5</u> hours x $<u> </u><u>12</u> per hour + $ <u>5</u> =$<u>47</u>
<u>i</u><u>f</u><u> </u><u>she </u><u>spilt </u><u>cost </u><u>with </u><u>a </u><u>friend</u><u> </u><u>,</u><u>they </u><u>will </u><u>each </u><u>pay$</u><u>4</u><u>7</u><u> </u><u>÷</u><u> </u><u>2</u><u>=</u><u> </u><u>$</u><u> </u><u>2</u><u>3</u><u>.</u><u>5</u>
