What is the reference angle for 7pi/2

Answers

Answer 1

Answer: The reference angle is -90 deg or -pi/2

Answer 2

Answer: I think its 90 degrees

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How many milliliters of a 15% saline solution and how many milliliters of a 40% saline solution must be mixed to produce 10 milliliters of a 30% saline solution?Volume of 15% solution= ____
Volume of 40% solution = ____

Answers

x - volume of 15% saline solution. Theres is 15% x = 0,15 x saline solution
y - volume of 40% saline solution. There is 40% y = 0,4y saline solution

You want to produce 10 mililiers so x+y= 10

And this saline has to be 30%, so you've got 30 % * 10 = 0,3 * 10 = 3 ml saline. So:
0,15x + 0,4y = 3
And you've got system of equations:
$\begin{cases} x+y=10 \n 0,15x+0,4y=3\end{cases} \n \begin{cases} x=10-y \n 0,15x+0,4y=3\end{cases} \n \hbox{Substitute value from first equation to second:} \n 0,15(10-y)+0,4y=3 \n 1,5-0,15y+0,4y=3 \n 0,25y=1,5 \qquad /:0,25 \n y=(1,5)/(0,25)=(150)/(25)=6 \n \hbox{Then:} \n x=10-y=10-6=4$

So answer:
Volume of 15% saline solution : 4 mililiters
Volume of 40% saline solution: 6 mililiters.

Is it possible to write a sequence that is both arithmetic and geometric

Answers

It is not possible to write a sequence that is both arithmetic and geometric.
An arithmetic sequence is:
a0, a0 + d, a0 + 2d, a0 + 3d, ...

An geometric sequence is:
a0, a0r, a0r2, a0r3, ...

So if the two are equal, we have:
a0 = a0,
a0 + d = a0r,
a0 + 2d = a0r2,
a0 + 3d = a0r3,
...

This can only be true if d = 0 and r =1 and only for the first three terms. It's a trivial sequence with only three elements which can't be necessarily classified as a sequence.

What is the value for y?

Enter your answer in the box.

y =

Answers

Sides AC and CB are identical, which mean the two bottom angles are also identical.

Angle B (2x) would equal 50.

The three inside angles of a triangle equal 180, so the top angle would equal 180 - 50-50 = 80.

Now set the equation for angle C to equal 80 and solve for Y.

5y+10 = 80

Subtract 10 from each side:

5y = 70

Divide both sides by 5:

y = 70/5

y = 14

Answer:

y = 8 and x = 25

Step-by-step explanation:

Look at pic below.

Hope this helps! :)

Simplify.

16.3 – (–4.2) + 15.9

Answers

The answer is 36.4.

16.3 - (-4.2) = 20.5 because a two subtraction sign will cancel out and become positive.
So 20.5 + 15.9 = 36.4

9+5(4x+4) what's the answer

Answers

20x+29 Parenthesis are supposed to be solved first, but due to the variable (x) i multiplied 5 (distributive property) leaving the 9 alone ... you just add it to the equation .....which you can't find x because you don't know what the whole equation equals to.

9 + 5(4x + 4)
9 + 5(4x) + 5(4)
9 + 20x + 20
9 + 20 + 20x
29 + 20x

A chemist is mixing one solution that is 32% sodium and another solution that is 12% sodium how many liters of each type should the chemist use to produce 50 l of the solution that is 20% sodium

Answers

In order to solve the amount of each solution, we need to set up equations. We do as follows:

Let x = solution with 32% sodium
y = solution with 12% sodium

Overall balance
x + y = 50

Component balance
.32x + .12y = 50(.20) =10

Solving simultaneously,

x = 20
y = 30

Hope this answers the question. Have a nice day.

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What is mean absolute deviation 10 12 18 25 25 11 22

Determine which transformation occurred:M(4, -1), A(-2, 2), T(-5, -3)M'(-4,1), A'(2,-2), T'(5, 3)

Wilma can mow a lawn in 40 minutes. Rocky can mow the same lawn in 120 minutes. Construct an equation that would allow you to determine how long it would take them to mow 2 lawns if they worked together. Use t to represent the number of minutes they work.