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gregori [183]
3 years ago
15

What value of z makes the equation true? 5/6=z/12 A. 6 B. 10 C. 15 D. 5

Mathematics
2 answers:
vazorg [7]3 years ago
8 0
The answer would be 10, al you have to do is mutiply both by 2

5x2=10
6x2=12
10/12 simplified is 5/6. Hope this helped!
vazorg [7]3 years ago
6 0
It would be 10 bc u times both by two
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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
The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the
inn [45]

Answer:

The numbers are 26.5, 53 and 17.5.

Step-by-step explanation:

97=x+(x-9)+2x

97+9=4x

106/4=4x/4

x= 26.5

x-9 = 17.5

2x= 53

8 0
3 years ago
True or False? A triangle with two congruent angles can never be scalene. A. True B. False
Wewaii [24]
True, because a triangle with 2 congruent sides/angles is ALWAYS an isosceles triangle.
Hive a nice day! ♪
8 0
3 years ago
Read 2 more answers
Question 7
Elina [12.6K]
D is right because there is not tire
5 0
3 years ago
Kareem ran three times last week. Here are the distances he rall
EleoNora [17]

Simply add the three decimals to find Kareem's total distance.

1.6 + 11.5 + 15 = 28.1

(0.6 + 0.5 = 1.1, 1 + 11 + 15 = 27, 27 + 1.1 = 28.1)

<h2>Answer:</h2>

<u>Kareem ran </u><u>28.1 km</u><u> on those three days.</u>

I hope this helps :)

8 0
2 years ago
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