The measure of angle ABC is 45°
<em><u>Explanation</u></em>
Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)
According to the diagram below....
Length of the side BC (a) 
Length of the side AC (b) 
Length of the side AB (c) 
We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...
So, the measure of angle ABC is 45°
Answer:
Step-by-step explanation:
Comment
The basic equation of a circle is
(x - a)^2 + (y - b)^2 = r^2
a and b are the coordinates of the center of the circle
r is the radius.
Development of the equation
r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.
So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2
The center is the red dot.
x = 1
y = - 1
Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4
Answer:
Step-by-step explanation:
6k^2
------- = 2k; and:
3k
-15k
------- = -5
3k
-5 cannot be evenly divided by 3k, so there's a remainder instead.
6k^2 - 15k - 5
-------------------- = 2k -5 with remainder -5.
3k
Answer:
The investment at the end of the period will be $584.89.
Step-by-step explanation:
FV = PV e⁽ⁿˣ⁾
FV = Future Value = ?
PV = Present Value = $396
n = Interest Rate = 13%
x = time in years = 3
e = mathematical constant = 2.7183
FV = 396 x 2.7183⁽⁰°¹³ ˣ ³⁾
FV = 396 x 1.4770
FV = $584.89
To find experimental probability you divide the number of time the event occurs by the number of trials. in this case the experimental probability is 2/3
