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Vadim26 [7]
3 years ago
12

Evaluate log 2 over 3

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0
Log 2 over 3 = 0.10034333188
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In right triangle XYZ, ∠Y is the right angle and m∠X = 60°. If YZ = 4, what is XY?
daser333 [38]

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

6 0
2 years ago
Enlarge the shapes using the scale factor 1:2
Aleonysh [2.5K]

Answer:

  the picture is correct

Step-by-step explanation:

Each square on the original shape becomes 2 squares on the enlarged shape, just as you have drawn.

4 0
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Please help me with this.
katen-ka-za [31]

Answer:

2:45

Step-by-step explanation:

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that being said, the tiny hand is between 2 and 3-we can eliminate c and d.

look at the minute hand. it is on 9, which means 45

we can cross out 3:45 as the hour hand is not between 3 and 4.

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Step-by-step explanation:

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I need help converting pounds into kilograms
defon

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for an approximate result, divide the mass value by 2.205

Step-by-step explanation:

7 0
3 years ago
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