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Ivan
3 years ago
13

Selene's checking account balance was -$33, and then she withdrew $42 more. What is her checking account balance after the withd

rawal?
Mathematics
2 answers:
Rainbow [258]3 years ago
7 0

Answer:

-75

Step-by-step explanation:

WIthdrew = Negative

-33 - 42 = -75

xxMikexx [17]3 years ago
3 0

Answer: $-9

Step-by-step explanation:

$33-$42 = $-9

I believe that is the answer

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How do you solve this problem?
jekas [21]
Very nice problem. You should look up the history of this question. It has a very long one having to do with mirrors made between 50 BC and 50 AD.

Step One
Find AB, BC, AC
Before beginning this problem, I'm going to arbitrarily name 
c = AB
a = BC
b = AC It just makes the calculations easier.

AB = radius of the large circle - radius of the medium circle = 20.62 - 8.04 = 12.58
BC = Radii of the two smaller circles added together = 8.04 + 7.35 = 15.39
AC = Radius of the large circle - Radius of the small circle = 20.62 - 7.35 = 13.27

So
a = 15.39
b = 13.27
c = 12.58

Step Two
Find Angle A or <BAC
a^2 = b^2 + c^2 - 2*b*c * Cos(A)
15.39^2 = 12.58^2 + 13.27^2 - 2 * 12.58 * 13.27 * Cos(A)
236.852 = 158.26 + 176.1 -  333.87 * Cos(A)
236.852 = 334.4 - 333.87*Cos(A)
-97.55 = - 333.87 *  Cos(A) 
-97.55 / -333.87 = Cos(A)
0.2922 = cos(A)
A = cos-1(0.2922)
A = 73.01 degrees

Step Three
Just to see if you understand what was done, I'll give you the givens for finding c, and the answer and you can work through the calculations to see if your answer agrees with mine. If it doesn't PM me.
c = 12.58
b = 13.27
a = 15.39

12.58^2 = 13.27^2 + 15.39^2 - 2*13.27*15.39*Cos(C)
C = 51.42

Step Four
Find <B
Every triangle has 180 degrees so
B = 180 - <A - C
B = 180 - 51.42 - 74.01
B = <54.57. 
I have found a moderator who opened the question up so that I can show you why the Cos law is the only way to do this. If the circles are very disproportionate as in this diagram, then no simple assumption can be made. The cos law is all that will work. I would have posted this earlier, but I didn't think anyone would find another method. It's ingenious but not possible for the situation below.

3 0
3 years ago
Use the order of operations to evaluate the expression below.<br> 5 + 7 • 2 - 90 / 3 + 8 - 1
Law Incorporation [45]
First Multiply 7x2 witch is 14 then divide -90 by 3 witch is -30 so now make your new equation 5+14-30+8-1 witch the answer is -4
3 0
2 years ago
You observe the heights of two plants for an experiment. Plant A has a height of 8 centimeters and grows 1 centimeter each week.
saveliy_v [14]

Answer:

69

Step-by-step explanation:

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3 years ago
among the 2287 respondents, 500 said that they only play hockey. what fraction of respondents said they only play hockey?
Jet001 [13]

Answer:

5

Step-by-step explanation:

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%20%204%20%5Ctimes%20%282%20-%206%29%20%3D%20" id="TexFormula1" title=" 4 \times (2 - 6)
Brut [27]

Answer:

-16

Step-by-step explanation:

You have to start by answering the parenthesis first then continue with the question

7 0
3 years ago
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