Answer:
(32/15, -2/5)
Step-by-step explanation:
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).
So for this, we can simplify √63 as such:
Using the simplified version of √63, we can solve it:
Zero is your final answer.
Answer:
Identify all points and line segments in the picture below.
This image has the potential for visual bias, so there is no alternative text.
Select one:
a. Points: A, B
Line segments: bar(AB)
b. Points: A, B, C, D
Line segments: bar(AB)
c. Points: A, B, C, D
Line segments:
bar(AB), bar(BC), bar(CD), bar(AD), bar(BD), bar(AC)
d. Points: A, B, C, D
Line segments: bar(AB), bar(AC), bar(BD)
Step-by-step explanation:
The theoretical probability of getting heads or tails is 1/2 the time.
1/2 of 150 = 75
So theoretically you would get 75 heads and 75 tails.
The experiment got 84 heads, which is greater than 75, so it would be higher than the theoretical probability.
The answer is : <span>It is 6% higher than the theoretical probability.</span>
Using the Law of Sines, sina/A=sinb/B=sinc/C (although there are other ways considering that this is a 30, 60, 90 degree triangle with a basic identity) we can say:
97/sin60=x/sin30=y/sin90
x=97sin30/sin60 and y=97sin90/sin60
The total height of the tree is h=x+y so
h=97sin30/sin60 + 97sin90/sin60
h≈168.01 ft (to the nearest hundredth of a foot)
h≈168 ft (to nearest foot)
