Answer: the height of the trapezoid is 6 cm
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.
h represents the height of the trapezoid.
From the information given,
a = 6 cm
b = 8.5 cm
If the area of the cut out is 43.5 cm², then
53.5 = 1/2(6 + 8.5)h
Cross multiplying by 2, it becomes
43.5 × 2 = (6 + 8.5)h
87 = 14.5h
h = 87/14.5 = 6 cm
Answer:
speed of motorcycle = 40 mph
speed of car = 50 mph
Step-by-step explanation:
Here is the complete question
A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.
Speed = distance / time
This question would be solved using simultaneous equation
let m = average speed of the motorcycle
c = average speed of the car
c = 2m - 30 equation 1
20 =(c - m) x 2 equation 2
insert equation 1 into equation 2 and divide through by 2
10 = (2m - 30) - m
solve for m
m = 40 mph
substitute for m in equation 1
2(40) - 20 = 50 mph
Answer:
No Solution
Step-by-step explanation:
Expand:
Add 5 to both sides:
Subtract 4x from both sides:
No solution as this is false.
Answer:
- 2 < x < 16
- 3 < x < 19
- 14 < x < 18
- 4 < x < 16
- 13 < x < 47
- 0 < x < 10
- 1 < x < 7
Step-by-step explanation:
The minimum third side is the difference of the given sides; the maximum third side is their sum.
If you like, you can have a spreadsheet calculate these for you. That seems like more work than just doing them in your head.
Good question next quetionn
