The length of x is 33.85 when rounded to the hundredth place.
You can start solving this by using the tangent function.
Tan(Angle) = opposite/adjacent
Since the angle is 28 and the opposite side is 18, we can set adjacent as x and solve.
Tan(28) = 18/x ---> Cross multiply
xTan(28) = 18 ---> Divide by Tan(28)
x = 18/Tan(28)
Which equals roughly 33.85
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Answer:
274 mL
Step-by-step explanation:
Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.
Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.
With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...
v/(6 g) = (100 mL)/(25 g)
v = (6 g)(100 mL)/(25 g) = 24 mL
So, the total volume of the infusion is ...
250 mL +24 mL = 274 mL
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* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.
Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.
I didn't understand your question ..
<span>Answer:
An x-intercept is where y is zero. With the law of mutiplying by zero, we know that:
If a * b = 0, then a, b, or both must be zero.
So if we want that a function will be zero at 4 and 2, we need to find a function which equals zero at these points.
x = 2 / subtract 2 from both sides.
x - 2 = 0
So the expression is (x - 2).
The expression for x = 4 is (x - 4).
Now we just multiply them and give the function a name:
y = (x - 2)(x - 4)
y = x^2 - 6x + 8.
2. Same idea:
y = (x + 6)(x - 3)
y = x^2 +3x - 18.
3. Once again, same idea:
y = (x + 5)(x - 5)(x - 1)
Since (x + 5)(x - 5) = x^2 - 25, we can calculate:
y = (x^2 -25)(x - 1)
y = x^3 - x^2 -25x + 25.
4. As explained above, yes.
5. Yes, there is an infinite number of functions that fit the conditions of those questions.
Just multiply the same factor over and over:
For 1:
y = (x - 2)(x - 2)(x - 4)
y = (x^2 - 6x + 8)(x - 2)
y = x^3 - 8x^2 + 20x - 16.
The same goes for 2 and 3.</span>
Answer:
5
Step-by-step explanation:
Special triangle. 1:1:
