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3 years ago

Please answer quickly with explanation

Mathematics

1 answer:

laiz [17]3 years ago

3 0

Answer:

hope this helps you to solve it

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Solve: sin2x cosx + cos 2x sin x = √3/2

ludmilkaskok [199]

We are given with the expression or equation sin2x cosx + cos 2x sin x = √3/2. The expression can be patterned from the trigonometric identity sin (a + b) = sin a cos B + cos A sin B. In this case, the expression is equal to sin 3x = sqrt 3 /2. using arc sign, x is equal to pi/9

5 0

3 years ago

Read 2 more answers

For the school play, adult tickets cost 4 and children tickets cost 2. Natalie is working at the ticket counter and just sold 20

Svetradugi [14.3K]

The possible combinations of adult tickets and children tickets are : (0, 10), (1, 8), (2, 6), (3, 4), (4, 2), (5, 0)

Explanation

Suppose, the number of adult tickets is $x$ and the number of children tickets is $y$

Given that, adult tickets cost 4 and children tickets cost 2 and Natalie sold 20 worth of tickets. So the equation will be.....

$4x+2y=20\\ \\ 2y= 20-4x\\ \\ y= 10-2x$

If x = 0, then $y= 10-2(0)= 10$

If x = 1 , then $y= 10-2(1)= 8$

If x = 2 , then $y= 10-2(2)= 6$

If x = 3 , then $y= 10-2(3)= 4$

If x = 4 , then $y= 10-2(4)= 2$

If x = 5 , then $y= 10-2(5)= 0$

If we take x value greater than 5 , then y will become negative which is not possible.

So, the possible combinations of adult tickets and children tickets are : (0, 10), (1, 8), (2, 6), (3, 4), (4, 2), (5, 0)

8 0

4 years ago

What is the value of fraction 1 over 2x3 3.4y when x = 4 and y = 2? 12.8 14.8 25.8 38.8

just olya [345]

1/2 x^3 + 3.4y when x = 4 and y = 2
1/2(4)^3 + 3.4(2)
1/2 (64) + 6.8
32 + 6.8 = 38.8

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3 years ago

Two step inequalities intergers

wlad13 [49]

.Two-step inequalities are very easy to solve and the rules you have to adhere to are the same as for the one-step inequalities – remember that you need to change the sign of inequality when multiplying or dividing the whole inequality with a negative number. The order of operations will not come into play often since there are not many operations to perform here.

Hope this helps:)

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3 years ago

QM Q9.) Write the standard form of the equation of the circle with the given center and radius.

pychu [463]

Hello there!

The standard form of the equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

So we have h = 4 and k = 3 and r = √5

So we just need to add these numbers to where they belong.

(x - 4)² + (y - 3)² = (√5)²

(x - 4)² + (y - 3)² = 5

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

4 0

3 years ago