Answer:
640 units squared
Step-by-step explanation:
The shape below is a trapezoid.
The formula for the area of a trapezoid is average of the bases times the height.
The bases are the parallel lines that make up 2 of the sides of the trapezoid.
The height is the line dotted line that creates right angles and is the distance between the two bases.
The bases are 24 and 40.
To find the average, we add them together and divide by 2
(24+40)/2=64/2=32
Now, we multiply 32 by the height, which is given as the length of 20.
32*20=640
the area of the trapezoid is 640 units squared
Hope this helps!
The actual height of building is 1800 feet.
Step-by-step explanation:
Given,
Height of building in model = 3 inches
Scale used by engineer;
1 inch = 600 feet
Therefore;
Actual height of building = Height in model * Scale used
Actual height of building = 3 * 600
Actual height of building = 1800 feet
The actual height of building is 1800 feet.
Asks for x part of the solution. that is ,-2
............ .. ......
Answer:
30 km/h
Step-by-step explanation:
usual speed= x km/h
increased speed= x +10 km/h
distance= 360 km
time difference= 3 h
- 360/x= 360/(x+10) +3
- 360/x= (360+ 3x+30)/(x+10)
- 360(x+10)= x(390+3x)
- 360x+3600= 390x+ 3x²
- 3x² + 30 x -3600=0
- x²+10x-1200=0
- x=30 km/h
Answer:
a = 5.07
Step-by-step explanation:
Here, we want to get the value of the side marked a
What we have is a right triangle
so, to find the value of a, we are to use the correct trigonometric ratio
The angle given faces a, which makes a the opposite
the side measure faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the two is the sine
The sine is the ratio of the opposite to the hypotenuse
mathematically;
sine 25 = a/12
a = 12 * sine 25
a = 5.07