Answer:
x ≈ 14.30
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define variables</u>
∅ = 39°
opposite leg = 9
hypotenuse = x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin39° = 9/x
- Multiply <em>x</em> on both sides: xsin39° = 9
- Isolate <em>x</em>: x = 9/sin39°
- Evaluate: x = 14.3011
- Round: x ≈ 14.30
The slope of the line MN where M (9,6) and N (1,4) can be obtained by obtaining the rate of the rise over the run. This is shown below:
(y2 - y1)/(x2 - x1) = (4 - 6)/(1 - 9) = (-2)/(-8)
m1 = 1/4
The slope of the line perpendicular to line MN can be obtained by taking the negative reciprocal of the slope of line MN.
m1 = 1/4
m2 = -1/m1 = -1/(1/4) = -4
Therefore, the slope of the line perpendicular to line MN is -4.
The best estimate is 17/60 .
In the given question it is already mentioned that an adult drinks 54 fluid ounces of water daily. Also it is mentioned that Josey has already drank 700 milliliters of water.
Now fopr solving this problem we have to fist convert 64 ounces to liter and then convert 700 milliliter to liter and then only can we get the answer to the question.
We already know
1 ounce = 0.29 liter
64 ounce = 64 * 0.29 liter
= 18.56 liter
So 18.56 liter is the daily recommendation for an adult to drink water
Again
1 milliliter = 0.001 liter
700 ml = 0.001 * 700 liter
= 0.7 liter
So Josey has already drank 0.7 liters of water
Amount of water Josey still needs to drink = (18.56 - 0.7) liter
= 17.86 liter
I'll Give You Some Hints:
Let's Look at C.
In C, the triangle is translated 2 units to the right. Which means that it cannot be a reflection.
Let's Look at B.
In B there is a sideways triangle. That means it's a Rotation. Which means it's not Reflected.
Lastly, Let's Look at A.
To get from the original triangle to the triangle in A, you have to reflect twice. Once along a vertical line, and then along a horizontal line.
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