Answer: 320°
Step-by-step explanation:
This is a circle geometry.
The arc length of the circle is given to be 8πcm and the radius is 4.5cm.
Now the length of an arc of a circle is
Arc length = πr0°/180° or 2πr0°/360°
To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go
πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.
πr0° = 8π × 180
0°. = 8π × 180
-----------
π × r
= 8 × 180. 8 × 180
-------- or ---------
9/2. 4.5
= 8 × 180 × 2
------------
9
= 8 × 20 × 2
= 320°
or 8 × 180/4.5
= 1440/4.5
= 320°
Answer:
0.324
Step-by-step explanation:
Given that :
Success rate = 30%
p = 30% = 0.3
q = 1 - p = 1 - 0.3 = 0.7
Number of trials, n = 6
Probability of having exactly 2 successes ; x = 2
P(x = 2)
Usibgbtge binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 2) = 6C2 * 0.3^2 * 0.7^4
P(x = 2) = 15 * 0.3^2 * 0.7^4
P(x = 2). = 0.324135
P(x = 2) = 0.324
Answer:
Step-by-step explanation:
Area = (3√3 s2)/
A≈259.81
Answer:
sin B= 0.096288
B = 5.525°
Step-by-step explanation:
Consider ΔABC as shown in figure attached
From figure:
a = 1 m
b = 3.54 m
sin A = 0.0272
sin B = ?
Using the sine rule for non-right-angle triangle
Answer:
Slope AB = -3/2
R = (4, -7)
Step-by-step explanation:
AB (-6 , 8) and (-2 , 2)
Slope AB = (8 - 2) /(-6 + 2) = 6/-4 = -3/2
Triangle QRS , QR is half of AB, same orientation and given Q (2 , -4) so R = (4, -7)
