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3 years ago

Find the values of x, y, z in the parallelogram

Mathematics

1 answer:

Setler [38]3 years ago

6 0

Answer:

x = 33

y = 38

z =109

Step-by-step explanation:

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17. Solve each of the following equations for 0 (a) 4 cos 2x + 2 sin x = 3 (b) sin 2x = sin2x (c) 7 sin x cos x = 2

katrin2010 [14]

a) A is a hard one but here goes...

$4cos2x + 2sinx = 3\\4cos2x + 2sinx -3 = 0\\4(1-sin^2x) +2 sinx - 3 = 0\\let w = sinx\\4(1-2w^2) + 2w -3 = 0\\8w^2 + 2w - 3 = 0\\factor\\\\(2w-1)(4w+3)=0\\\\w = sinx = \frac{1}{2},\frac{-3}{4\\}\\x= arcsin(\frac{1}{2}) = \frac{\pi}{6} + 2k\pi \\\\and \\x =arcsin(\frac{-3}{4} )+2k\pi$

$sin2x = sin2x\\sin2x - sin2x = 0$

x = all real numbers

$7sinx*cosx =2\\7 * \frac{sin2x}{2} = 2\\7*sin2x = 4\\sin2x = \frac{4}{7}\\2x = arcsin(4/7)\\x = \frac{arcsin\frac{4}{7} }{2}+2\pi k$ where k is an integer.

7 0

3 years ago

the temperature is 50, The temperature will decrease by 4 each hour. Let H be the number of hours. Write an inequality for this

natita [175]

Answer:
50 - 4H = x

the starting temp is 50 and H represents the number of hours multiplied by 4. you subtract that product from 50 and you can find x

5 0

3 years ago

Parrot eats only ........ products

katrin [286]

Answer:

Maybe Plants products...

5 0

3 years ago

Help me please thank you

lesya [120]

$\sqrt{6}$

4 0

4 years ago

Sandi got 1/1/4 pounds of gummy worms if she left the store with 3 pounds of gunmys worms and skittles ,how many pounds of skitt

stellarik [79]

Answer:

1 3/4 lbs of skittles

Step-by-step explanation:

Easy way: 3lbs - 1 1/4lbs = 1 3/4lbs

Complex way:

(I'm assuming "1/1/4" means "1 1/4")

This is simply ~Subtraction~

The total is 3lbs(t) and 1 1/4 of that 3lbs is gummy worms(g). What is left of the 3lbs is skittles(s).

So we need to know what added to 1 1/4 equals 3.

Equation: t= 1 1/4 + s

Equation: t= 1 1/4 + s

We can replace (t) with 3 because we know this variable.

1. 3= 1 1/4 + s

To isolate the variable (s) we need to subtract 1 1/4 on both sides of the equation

2. 3(- 1 1/4)= 1 1/4(- 1 1/4) + s

The right side cancels out = 0 and the left = 1 3/4

3. 1 3/4= s

Flip it around for the traditional view

4. s = 1 3/4

In word form: Skittles equal 1 3/4 (don't forget to add lbs or pounds back into the final answer)

3 0

3 years ago