Step-by-step explanation:
Step 1:
Let x equal the repeating decimal you are trying to convert to a fraction.
Step 2:
Examine the repeating decimal to find the repeating digit(s).
Step 3:
Place the repeating digit(s) to the left of the decimal point.
Step 4:
Place the repeating digit(s) to the right of the decimal point.
Step 5:
Using the two equations you found in step 3 and step 4, subtract the left sides of the two equations. Then, subtract the right sides of the two equations
As you subtract, just make sure that the difference is positive for both sides.
Answer:
Step-by-step explanation:
Given:
Number of bushes planted = 5
Minimum number of bushes to be planted = 12
Let the number of bushes planted after planting 5 bushes be 
.
Since, Tamara has already planted 5 bushes, total number of bushes planted is given as:
Now, as per question, total number of bushes should be 12 or greater than 12.
Therefore, .
Start the graph at the <em>y</em>-intercept. At 0 hours, he will make $0, so (0, 0) is the <em>y</em>-intercept. From this point, he makes $8.10 an hour; go up 8.1 for every 1 hour you go over on the graph. The graph is attached.
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that triangle BCD is a right-angle triangle.
Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:
a^2 + b^2 = c^2
Where c = hypotenus of right-angle triangle
Where a and c = other two sides of triangle
Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:
Let a = BC
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 = 26^2 - 24^2
a = square root of ( 26^2 - 24^2 )
a = square root of ( 676 - 576 )
a = square root of ( 100 )
a = 10
Therefore, as a = BC, BC = 10.
If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:
a = BC = 10
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
10^2 + 24^2 = 26^2
100 + 576 = 676
676 = 676
FINAL ANSWER:
Therefore, BC is equivalent to 10.
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