Answer:
Step-by-step explanation:
A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?
This is a circle inscribed in an equilateral triangle with side s.
If you are asking for the perimeter of PQR, it is 3s.
If you are asking for the perimeter of OQR, it is (3+23–√3)s
Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.
(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s
Hope it helps
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Given:
1 set requires 4 couples 8 dancers.
Total number of people at a square dance = 250.
To find:
The greatest number of sets possible at the dance.
Solution:
We have,
Total people = 250
1 set = 8 people.
Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.
Therefore, the number of possible sets at the dance is 31.
Answer:
67
Step-by-step explanation:
d(n) = 4n + 2
= 4(5) + 2
=22
t(d(n)) = 3(22) + 1
= 67
Step-by-step explanation:
The answer is option b.
Explanation in the pic.
Need any other maths, feel free!!
Answer:
5) A
6) A
Step-by-step explanation:
5) With the sides of the rectangle being dilated, multiply the side lengths by the scale factor
7.5(2.2) and 3(2.2)
16.5 and 6.6
6) Multiply the coordinates by the scale factor as dilations work as (x, y) -> (kx, ky)
