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3 years ago

PLEASE HELP!! THANK YOU!

2 answers:

6 0

Recall that 2sinxcosx = sin2x.
Thus, sinxcosx = sin2x/2

So, $\frac{sin2x}{2} = \frac{1}{4}$
$sin2x = \frac{1}{2}$
$2x = \frac{\pi}{6}, \frac{5\pi}{6}$
$x = \frac{\pi}{12}, \frac{5\pi}{12}$

In general form:
$x = \pi n + \frac{\pi}{12}$
$x = \pi n + \frac{5\pi}{12}$

Korvikt [17]3 years ago

5 0

Answers A and C and correct for this equation.

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2. Trapezoid WXYZ is located at W(2.1) X[3.

Nataliya [291]

Point Y is (6, -1)

Subtract 6 from the y coordinate in point y since it is translated down. keep the x coordinate since it is only being translated up and down, or by the y axis

5 0

3 years ago

phenytoin comes from the pharmacy as an IV solution of 1000mg/250ml. a loading dose of 700 mg has been ordered. how many millime

Vedmedyk [2.9K]

We can write the following proportion between the milligram and milliliters:

$1000\div 250 = 700\div x$

Solving for x, we have

$x=\dfrac{250\cdot 700}{1000}=175$

Intuitively, the original 1000mg/250ml solution tells us that the number of milliliters is one fourth of the number of milligrams.

So, if we want 700mg, we have one fourth of this value for the milliliters:

$\dfrac{700}{4}=175$

6 0

2 years ago

A large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Quinn randomly selects 1 marble

Leni [432]

The answer will be A.

8 0

2 years ago

X+6y=27<br> 7x-3y=9 por metodo de igualacion

GalinKa [24]

Answer:

(3,4)

Step-by-step explanation:

The system of equations is:

x+6y=27

7x-3y=9.

I looked up "metodo de igualacion". It is basically American for doing substitution.

However, the only difference is you are asked to solve both equations for a variable.

The first equation looks easy to solve for x. So I'm going to solve both equations for x.

x+6y=27

Subtract 6y on both sides:

x =-6y+27

7x-3y=9

Add 3y on both sides:

7x =3y+9

Divide both sides by 7:

x =3/7 y +9/7

So both equations are solved for x. You want to find when the x's are the same because you are looking for a common amongst the lines given.

So we have

-6y+27=3/7 y +9/7

I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:

-42y+189=3y + 9

Now add 42y on both sides:

189=45y+9

Subtract 9 on both sides:

180=45y

Divide both sides by 45:

4=y

If 4=y, then y=4.

So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.

I like the x=-6y+27 with y=4.

So replace y with giving you:

x=-6(4)+27

x=-24+27

x=3

So the solution is (x,y)=(3,4).

x=3 and y=4.

8 0

3 years ago

NEED HELP FAST

g100num [7]

5 7/12 because 2 1/3 + 3 1/4 = 67/12 (or 5 7/12) This can be shown as: 2 4/12 + 3 3/12 = 5 7/12

8 0

2 years ago