Answer:
measure of angle A is 80 degree.
Step-by-step explanation:
isosceles triangle will have same base angles
first base angle is 50, and the second will also be 50
3 angles of a triangle will add up to be 180 degree.
A is the vertex angle.
So 50 + 50 + A = 180
100 + A = 180
A = 80.
(x + 4) (x - 3)
a = 4
b = -3
a^2 + b^2 = ...
= 4^2 + (-3)^2
= 16 + 9
= 25
Answer:
if union, U means plus,+
if intersect means minus, -
Answer:
The standard deviation (σ) = 0.05
Step-by-step explanation:
The question is to find the standard deviation.
STEEP 1: FIND THE MEAN
(10+9.9) ÷ 2 = 9.95
STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN
10-9.95= 0.05
0.05^2 = 0.0025
9.9 - 9.95= -0.0025
-0.0025^2 = 0.0025
STEP 3: FIND THE VARIANCE
0.0025+0.0025= 0.005
0.005/2= 0.0025
STEP 4: FIND THE STANDARD DEVIATION (σ )
√variance
√0.0025 = 0.05
Therefore
σ = 0.05.
From the standard deviation, the percentage probability of the higher value to occurs is
0.05×100= 5%
That means Doug has 95%
And Bob has 5%
Answer:
229.18 degrees
Step-by-step explanation:
The circumference of a circle with radius r is 2×pi×r.
So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.
So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.
There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.
