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Alchen [17]
3 years ago
7

Find the product. -2x a(-4x b - 2x 3 + 5x)

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0

Answer:

556

Step-by-step explanation:

7+8+8+9

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If sinA+cosecA=3 find the value of sin2A+cosec2A​
Irina18 [472]

Answer:

\sin 2A + \csc 2A = 2.122

Step-by-step explanation:

Let f(A) = \sin A + \csc A, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

\csc A = \frac{1}{\sin A} (1)

\sin^{2}A +\cos^{2}A = 1 (2)

Now we perform the operations: f(A) = 3

\sin A + \csc A = 3

\sin A + \frac{1}{\sin A} = 3

\sin ^{2}A + 1 = 3\cdot \sin A

\sin^{2}A -3\cdot \sin A +1 = 0 (3)

By the quadratic formula, we find the following solutions:

\sin A_{1} \approx 2.618 and \sin A_{2} \approx 0.382

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

\sin A \approx 0.382

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

A \approx 22.457^{\circ}

Then, the values of the cosine associated with that angle is:

\cos A \approx 0.924

Now, we have that f(A) = \sin 2A +\csc2A, we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used:

\sin 2A = 2\cdot \sin A\cdot \cos A (4)

\csc 2A = \frac{1}{\sin 2A} (5)

f(A) = \sin 2A + \csc 2A

f(A) = \sin 2A +  \frac{1}{\sin 2A}

f(A) = \frac{\sin^{2} 2A+1}{\sin 2A}

f(A) = \frac{4\cdot \sin^{2}A\cdot \cos^{2}A+1}{2\cdot \sin A \cdot \cos A}

If we know that \sin A \approx 0.382 and \cos A \approx 0.924, then the value of the function is:

f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}

f(A) = 2.122

8 0
3 years ago
It is greater than 37493 it is less than 37503 it is an even number the value of the mystery number rounded to the nearest ten i
dalvyx [7]
The mystery number is 37502
6 0
3 years ago
People keep on giving me different answers for this one, I really do need help please...
guajiro [1.7K]

Hi there!

So if BC and DA are the same, then BA and CD are also the same...

The only one that’s left is BD.

Therefore, the shortest side is BD.

5 0
2 years ago
Two quantities, x and y, are directly proportional. If x is halved, what happens to y?
Contact [7]
Y should also be halved.

For example, if x=4 and y=2, x=2y.
If x is halved for x=2, you get 2=2y, or y=1, which is still one half of x, so the proportion remains the same.
5 0
3 years ago
Read 2 more answers
What is the simplified answer to this? thank you :)<br><br><img src="https://tex.z-dn.net/?f=9%20%5Csqrt%7B245%7D%20" id="TexFor
Svetradugi [14.3K]

Answer:

63 \sqrt[ \: ]{5}

Step-by-step explanation:

9 \sqrt{245}

9 \sqrt{ {7}^{2}  \times 5 }

9 \times 7 \sqrt{5}

63 \sqrt{5}

6 0
3 years ago
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