Answer:
1/4
Step-by-step explanation:
For the first circle 2 x 2in = 4 to find diameter
4 x 3.14 = 12.56
6in x 2 = 12
12 x 3.14 = 37.68
simplify
12.56/37.68
6.28/18.84
3.14/9.42
So the answer is 1/4 since 3.14 x 2 = 6.28
Also since the radius is 2 times longer
Using the speed - distance relationship, the time left before the appointed time is 27 minutes.
<u>Recall</u><u> </u><u>:</u>
<u>At</u><u> </u><u>10mph</u><u> </u><u>:</u>
- Distance = 10 × (t + 3) = 10t + 30 - - - (1)
<u>At</u><u> </u><u>12</u><u> </u><u>mph</u><u> </u><u>:</u>
- Distance = 12 × (t - 2) = 12t - 24 - - - - (2)
<em>Equate</em><em> </em><em>(</em><em>1</em><em>)</em><em> </em><em>and</em><em> </em><em>(</em><em>2</em><em>)</em><em> </em><em>:</em>
10t + 30 = 12t - 24
<em>Collect</em><em> </em><em>like</em><em> </em><em>terms</em><em> </em>
10t - 12t = - 24 - 30
-2t = - 54
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em> </em><em>2</em>
t = 54 / 2
t = 27
Hence, the time left before the appointed time is 27 minutes.
Learn more : brainly.com/question/25669152
Answer:
6x - 2y > 8
<u><em>First, solve the inequality (Isolate the y-variable & put it in function format):</em></u>
<u><em /></u>
<u><em>Second, graph the function y = 3x - 4 on the graph.</em></u>
- It should be linear.
- Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.
<u><em>Third, shade in the area below the line(where y-values are smaller).</em></u>
- Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.
Answer:
i) 1 ii) 3.16227766017 iii)10 iv)31.6227766017
Step-by-step explanation:
This can be done without exponential equations.
It doubles every 12 years so it has doubled in price
5,000 * 2 = 10,000
After 36 years the value has increased 8 times
5,000 * 8 = 40,000
After 48 years the value has increased 16 times
5,000 * 16 = 80,000
