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nalin [4]
3 years ago
6

Six more than eight times a number equals thirty. what is that number?

Mathematics
2 answers:
kkurt [141]3 years ago
5 0
6 + 8x = 30
Problem written out
8x = 24
Subtracted 6 to get 8x alone
x = 3
Divided 8 to get your answer!
VikaD [51]3 years ago
3 0
Let's write the expression

six more (+6) than eight times a number (8x) equals 30 (=30)

8x + 6 = 30
8x = 30 - 6
x = 24/8
x = 3
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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.

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3 years ago
IF U HELP RN ILL GIVE U BRAINLIEST
shutvik [7]

Answer:

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Step-by-step explanation:

5 0
2 years ago
Solve for<br>30 + 9<br>43<br>a =​
Bingel [31]

Answer:

a=39

Step-by-step explanation:

4 0
2 years ago
below is the rule for calculating the velocity of a falling object. use this rule to calculate the rate, expressed in feet per s
marshall27 [118]
T=time
when the piano dropped at t=0, its velocity also equals 0
but at t(3)=32(3)=96
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3 years ago
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP WITH THE FIRST ONE ONLY!
PSYCHO15rus [73]

Answer:

PR=130, MPR=180, MRT=180, MT=130 HOPE THIS HELPED

Step-by-step explanation:

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