What is the area of a trapezoid ABCD with bases AB and CD
2 answers:
If you draw a perpendicular to CD from point A or point B, you will create a right triangle with one leg 5 and hypotenuse (BC or DA) 13. The other leg of this triangle is the height of the trapezoid:
... h = √(13² -5²) = 12
The area is this height multiplied by the average base length:
... Area = (12 cm)×(10 cm +20 cm )/2 = 180 cm²
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Answer:
<em>40</em>
Step-by-step explanation:
Given that:
Number of options available for transmission = 2 (Standard or Automatic)
Number of options for doors = 2 (2 doors or 4 doors)
Number of exterior colors available = 10
To find:
Total number of outcomes = ?
Solution:
First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.
1. Standard - 2 doors
2. Standard - 4 doors
3. Automatic - 2 doors
4. Automatic - 4 doors
Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2)
Now, these 4 will be mapped with 10 different exterior colors.
Therefore total number of outcomes possible :
Number of transmission modes Number of doors options
Number of exterior colors
2 2
10 = <em>40</em>
<h3>Given:</h3><h3>Large cone:</h3>
- r= 8 cm
- h= 20 cm
- r= 4 cm
- h= 10cm
- r: radius
- h: height
- The volume of the frustum of the given cone.
- Frustum is a part of a cone formed by cutting off the top by a parallel plane.
Let's solve!
First, let's find the volume of the smaller cone.
Substitute the values according to the
formula.
Now, we can round off to the nearest hundredth.
The value in the thousandths place is smaller than 5 so we won't have to round up.
Next, let's find the volume of the bigger cone.
Substitute the values according to the formula.
Now, we can round off to the nearest hundredth.
The value in thousandths place is smaller than 5 so we won't have to round up.
Now, we can find the volume of the frustum.
We'll have to minus the volume of the smaller cone from the bigger cone.
<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>
I think this is how you do it...
