Eighteen is 25% less than what number?
2 answers:
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Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:
Split the fraction:
First fraction reduces to 1:
Simpify each with common arguments:
Answer:
= 85
Step-by-step explanation:
given m = - 2, and n = -4
Substitute the given values into the polynomial expression:
= (16 + 5) - (-64)
= 21 + 64
= 85
Therefore, the correct answer is 85.
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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