Answer:
84 (nearest whole number)
Step-by-step explanation:
If x = 10,
Longest leg = (7 x 10) + 4 = 74
Shortest leg = 4 x 10 = 40
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):
⇒ 74² + 40² = c²
⇒ 7076 = c²
⇒ c = √7076 = 84.11896...
⇒ hypotenuse = 84 (nearest whole number)
Answer:
Step-by-step explanation:
Part A: 20 shows $20 which Cory earns by mowing one lawn. 9 shows $9 which he earns by trimming one hedge. x shows the number of lawns. y shows the number of hedges. Part B: There are two terms in this expression. 20x which shows the total earning of Cory by mowing lawns. 9y which shows his earning by trimming hedges. It can be judged by the description of rates explained in part A. Part C: From explanation given in Part C, we can easily see that the expression 9y is used for the total earned from trimming hedges.
Answer:
C
Step-by-step explanation:
Let us factor out the 5:
5*x + 5*2y- 5*3
5(x+2y-3)
Therefore, C
<em>I hope this helps! :)</em>
The lateral area is 117 square centimeters and the surface area is 292.72 square centimeters
<h3>How to determine the
lateral area?</h3>
The given parameters are:
- Base length (b) = 6
- Slant height (l) = 13
The lateral area is calculated using:
Lateral = 0.5 * (Perimeter of base) * Slant height
This gives
Lateral = 0.5 * (3 * 6) * 13
Evaluate
Lateral = 117
Hence, the lateral area is 117 square centimeters
<h3>How to determine the
surface area?</h3>
The surface area is calculated using:
Surface = l²√3
This gives
Surface = 13² * √3
Evaluate
Surface = 292.72
Hence, the surface area is 292.72 square centimeters
Read more about areas at:
brainly.com/question/24487155
#SPJ1
Line through P(0, 5) and Q(-1, 8):
slope = m = (y2 - y1) / (x2 - x1) = (8 - 5) / (-1 - 0) = 3 / -1 = -3
line through R(3, 3) and S(5, -1):
slope = m = (y2 - y1) / (x2 - x1) = (-1 - 3) / (5 - 3) = -4 / 2 = -2
Parallel lines have equal slopes. Since the two lines have different slopes, they are not parallel.
