Answer:
I'm thinking it's going to be C. 6 units
Step-by-step explanation:
The information we've been given is:
12 heads
15 tails
From those, we find that there are 12 + 15 = 27 coins.
Let's examine these ratios as such:
- 12 heads to 27 coins -
There are indeed 12 heads and 27 coins, so this comparison agrees with our data.
- 15 tails to 12 heads -
Again, nothing here contradicts with our data, so this would be correct as well
- 12 heads to 15 tails -
Simply a reversed version of the ratio above; still a completely valid way to compare the relative quantities of heads and tails
- 5 tails to 9 coins -
This one needs a little more examination. We observe that the ratio of tails to coins with our given data is 15 tails to 27 coins. This seems to go against our data, but we can simplify our ratio by dividing both the number of tails and the number of coins by 3, which indeed gives us the ratio 5 tails to 9 coins.
So, all of the given ratios are correct.
Two angles, each 90 degrees
Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.
<h3>How to Use the Cosines Rule to Solve a Triangle?</h3>
The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))
Given the following:
- c = x = ?
- a = 4.0 cm
- b = 4.7 cm
- C = 41°
Plug in the values:
x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))
x ≈ 3.1 cm
Learn more about the cosine rule on:
brainly.com/question/23720007
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This problem requires the use of the chain rule: dy / dt = [dy / dx] * [dx / dt]
y = √x => dy / dx = 1 / (2√x)
<span>(a) Find dy/dt, given x = 16 and dx/dt = 7.
dy/dt = [ 1/(2√x) ] * 7 = [1/(2*4)] * 7 = 7/8
(b) Find dx/dt, given x = 64 and dy/dt = 8.
dx/dt = [dy/dt] / [dy/dx] = 8 / [1/(2√64) ] = 128
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