Answer:
x = 12
y = 16
Step-by-step explanation:
Use the Pythagoras Theorem on the left triangle.
Now use the Pythagoras Theorem on the right triangle.
A track has the shapes shown. what is the perimeter ?
1 answer:
Break this problem down first. You have two lines each with length of 5. You also have two halves of a circle, combine them to get a full circle with a radius of 2. The formula to find the perimeter of a circle is
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B
and this gives a perimeter of 12.566 for the circle. Add this to your sides and you get a total of 22.566 which is answer B
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Answer:
3)
4) a)
b)
Step-by-step explanation:
<u>Exercise 3</u>
<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒
If L2 passes through point (3, 1):
So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒
If L3 passes through point (-5, 2):
Answer:
Not a right triangle.
Step-by-step explanation:
If this triangle is a right triangle, then the Pythagorean theorem would work on it. According to the Pythagorean theorem, , so c would always be greater than a or b. In this scenario, the greatest number here is 18, so c = 18. Since a or b don't matter if given both legs, we have the following equation that may or may not be equal:
. We know 8 squared is 64, and 11 squared is 121, and 18 squared is 324. This means that
according to the Pythagorean theorem, and since 64 + 121 = 185, and 185 does not equal 324, the Pythagorean theorem does not work and the triangle is not a right triangle.