Directions: Simplify the following expressions.
1 answer:
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First, you put the triangles in a ratio
Then, you ask yourself "what do I have to divide seven by to get 5" so you do 7.5/5 to get that answer (which is to divided by 1.5)
Then, on the other side, you divide 22.5 by 1.5 as well
Then, you ask yourself "what do I have to divide seven by to get 5" so you do 7.5/5 to get that answer (which is to divided by 1.5)
Then, on the other side, you divide 22.5 by 1.5 as well
Step-by-step explanation:
First, the pizza is 18 inches in diameter, so
and, because the radium is half of the diameter,
<u>Note that the units are inches.</u>
Using the equation
where a is the area of a circle, we know that the area of the whole pizza is approx.254.5 square inches. Divide by 8 to find the area of 1/8 of a pizza. Each slice will have an area of approx. 32 square inches. For a precise result, the answer is
where a(s) is the area of a slice of pizza, and s is the total number of slices, given they are equal in size.
The perimeter of triangle ABC is 24 units
Step-by-step explanation:
There is a fact in any triangle, the segment joining the mid points of
two sides of the triangle is:
- Parallel to the third side
- Its length is half the length of the third side
In Δ XYZ
∵ A is the mid point of XY
∵ B is the mid point of YZ
∴ AB = XZ
∵ XZ = 18 units
∴ AB = × 18 = 9 units
∵ C is the mid point of XZ
∵ B is the mid point of YZ
∴ BC = XY
∵ AY = 7 units
∵ AY = XY
∴ 7 = XY
- Multiply both sides by 2
∴ 14 = XY
∴ BC = × 14 = 7 units
∵ A is the mid point of XY
∵ C is the mid point of XZ
∴ AC = YZ
∵ BZ = 8 units
∵ BZ = YZ
∴ 8 = YZ
- Multiply both sides by 2
∴ 16 = YZ
∴ AC = × 16 = 8 units
∵ The perimeter of any triangle is the sum of the lengths of its sides
∴ Perimeter Δ ABC = AB + BC + AC
∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units
The perimeter of triangle ABC is 24 units
Learn more:
You can learn more about triangles in brainly.com/question/10677255
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