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4. 20 minutes
Explanation- It's the only answer with "minutes" as an answer.
Answer:
B is the best answer
The question is illustrated with the attached figure.
Required
Determine XY
To solve for XY, we make use of the tan function, which states that:
tan\theta = \frac{Opposite}{Hypotenuse}tanθ=
Hypotenuse
Opposite
In this case:
tan\ 60= \frac{YZ}{XY}tan 60=
XY
YZ
Substitute 4 for YZ
tan\ 60= \frac{4}{XY}tan 60=
XY
4
Make XY the subject
XY= \frac{4}{tan\ 60}XY=
tan 60
4
tan\ 60 =\sqrt 3tan 60=
3
So, the expression becomes:
XY = \frac{4}{\sqrt 3}XY=
3
4
Rationalize:
XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=
3
∗
3
4∗
3
XY = \frac{4\sqrt 3}{3}XY=
3
4
3
Answer:
Step-by-step explanation:
Find the multiples of 2x^2 and 2
for 2x^ you get 2,1 but they need to have x to get x^2 so; (2x and x)=2x^2
for 2 you get 2,1 (2x1)=2
Because your equation has a 5x and no negatives you know that your factors need to be positive.
(2x+1)(x+2)
when you multiply these you get
2x^2+4x+x+2 (remember 2x multiplies with everything inside (x+2) = 2x^2+4) and so on for the x (x+2) =x+2 )
Then you combine like terms 4x+x=5x
and those are the only like terms available and you get
2x^2+5x+2
Hope it helped