Answer: 18.24 cm^2
Step-by-step explanation:
the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.
1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12
[r^2(3.14)]/4 pi is substituted by 3.14, and the radius is 8.
50.24 is the area of 1/4 of the circle.
2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.
the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two
this means the triangle is 32 cm^2
3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is <u>18.24 cm^2</u>
Answer:
The confidence interval is 
Step-by-step explanation:
We have given,
The Z interval (23.305,25.075)
Mean 
Sample n=30
To find : The confidence interval?
Solution :
We know, The confidence interval is in the format of
E denotes the margin of error,
Where, U is the upper limit U=25.075
L is the lower limit L=23.305
Substitute the value of E and 
in the formula,
Therefore, The confidence interval is
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
First, we have
s1/r1 = s2/r2
The question also states the fact that
s/2πr = θ/360°
Rearranging the second equation, we have
s/r = 2πθ/360°
Then we substitute it to the first equation
s1/r1 = 2πθ1/360°
s2/r2 = 2πθ2/360°
which is now
2πθ1/360° = 2πθ2/360°
By equating both sides, 2π and 360° will be cancelled, therefore leaving
θ1 = θ2
B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex = 
= 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
