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Phantasy [73]
3 years ago
9

Evaluate:cos 45°/sec 30°+cosec30°​

Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Look at the trigonometry table for special angles.

From here, substitute the values in:

\frac{\sqrt{2} }{2} / \frac{2\sqrt{3} }{3}} + 2

Simplify:

\frac{3\sqrt{2} }{4\sqrt{3} } + 2

Rationalize:

\frac{\sqrt{6} }{4} +2

And this is your answer.

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Can someone help me please
aleksklad [387]

9514 1404 393

Answer:

 IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

  m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

<em>Additional comments</em>

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

  B +D = (-2+6, -9-3) = (4, -12)

  C +E = (0+4, -5-7) = (4, -12)

These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

__

If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)

7 0
2 years ago
2Y=5XSquared<br> I don’t have the power symbols on my phone.<br> How do I solve for Y?
gizmo_the_mogwai [7]
Divide both sides by two.
6 0
3 years ago
What is the probability of picking an orange marble and flipping tails?<br> ​
Anarel [89]

Answer:

1/7 and 1/2

Step-by-step explanation:

The probability of orange marble is 1/7

Probability of tails is 1/2

If you need to add this, then it'll be 1/14

7 x 2 = 14

1 x 1 = 1

7 0
1 year ago
Someone please help me with this chart, I don’t understand it.
lidiya [134]

Answer:

The second one is (3 x 3 x 3 x 3) x (3 x 3)

Step-by-step explanation:

6 0
3 years ago
Definition isosceles triangle
LuckyWell [14K]

Answer:

triangle with two equal sides.The angles opposite the equal sides are also equal.

Step-by-step explanation:

7 0
3 years ago
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