Answer:
Arc length MK = 15.45 units (nearest hundredth)
Arc measure = 58.24°
Step-by-step explanation:
Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)
ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:
where:
is the angle- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- = ∠KLM
- A = LN = 8
- H = KL = 15.2
Therefore, the measure of arc MK = 58.24° (nearest hundredth)
Given:
- r = 15.2
- ∠KLM = 58.24313614°
To evaluate the probability that the lifespan will be between 1440 and 1465 hours will be given by:
P(1440<x<1465)
using the z-score formula we obtain:
z=(x-μ)/σ
where:
μ=1450
σ=8.5
hence
when x=1440
z=(1440-1450)/8.5
z=-1.18
P(z<-1.18)=0.1190
when x=1465
z=(1465-1450)/8.5
z=1.77
P(z<1.77)=0.9625
hence:
P(1440<x<1465)
=0.9625-0.1180
=0.8445
Hello,
x^2+y^2+8x-6y+21=0
Rewritten in the form of a standard circle equation:
(x-(-4))^2+(y-3)^2=2^2
Therefore, the circle properties are:
(a,b)=(-4,3),r=2
The radius of the circle whose equation is <span>x^2 + y^2 + 8x - 6y + 21 =0 is 2.
Faith xoxo</span>
Answer:
+ 1 or - 1
Step-by-step explanation:
= ± 1
Since 1 × 1 = 1 and - 1 × - 1 = 1
