Answer:
86°
Step-by-step explanation:
This is a circle theorem question, specifically the cyclic quadrilateral theorem.
If you have a a 4-sided shape that touches the circumference of the circle with all 4 vertices, it's know as a cyclic quadrilateral.
The theorem states: "Opposite angles in a cyclic quadrilateral add up to 180°"
We want the angle at point L so we subtract the opposite angle to L (Angle J, which is 94°), so 180 - 94 = 86
The neat thing is that it's still a quadrilateral, and if you find all the remaining sides, they should add up to 360°, just like a regular square or rectangle.
Answer:
I belive it has no x intercepts
Answer:
you would divide 28 by 8 and get 3.5. so around 3:30 per song
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
just took the test
Answer:
A = (16π -32) in²
P = (4π +8√2) in
Step-by-step explanation:
The area is that of a quarter-circle of radius 8 inches less half the area of a square with side length 8 inches. Two formulas are useful:
area of a circle = πr² . . . . .r = radius
area of a square = s² . . . . s = side length
Then your area is ...
A = (1/4)π(8 in)² - (1/2)(8 in)² = (64 in²)(π/4 -1/2)
A = (16π -32) in²
____
The applicable formulas for the side lengths of your figure are ...
arc BD = (1/4)(2πr) = π(r/2) = π(8 in)/2 = 4π in
segment BD = (8 in)√2
The perimeter is the sum of these lengths, so is ...
P = (4π +8√2) in
_____
Of course, you are very familiar with the fact that an isosceles right triangle with side lengths 1 has a hypotenuse of length √(1²+1²) = √2. Scaling the triangle by a factor of 8 inches means the segment AB will be 8√2 inches long.
