Answer:
Step-by-step explanation:
Put the value where the variable is and do the arithmetic. It can save some steps to simplify the expression first.
35 -c³ +8 = 43 -c³
<u>c = 1</u>
43 - 1³ = 43 -1 = 42
<u>c = 2</u>
43 - 2³ = 43 -8 = 35
<u>c = 3</u>
43 -3³ = 43 -27 = 16
The values that go in the blanks are 42, 35, 16.
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<em>Additional comment</em>
It does not take long to learn how to use a spreadsheet for evaluating the same formula with a number of different values of the variable(s). Graphing calculators can do this, too. It is always appropriate to use the right tool for the job.
Familiarity with multiplication and addition facts is a very good place to start. It is also useful to memorize the squares and cubes of small integers. The latter are needed here.
Sample space ={5G, 2Y, 8R, 3P} =18 POSSIBLE OUTCOME
1st draw: P(R) = 8/18 = 4/9 = 0.444
2nd draw (no replacement, means already one Red is picked up, so the sample space has been reduced): P(another one more RED) = 7/17 =0.411
32 divided by 10 minus 8 divided by 2 minutes 3 is -3.8 if that’s what ur asking
Answer: m∠6=18
3x-15=x+7
add 15 to both sides
3x-15+15=x+7+15
3x=x+7+15
3x=x+22
subtract x from both sides
3x-x=x+22-x
3x-x=22
2x=22
divide both sides by 2
2x÷2=22÷2
x=22÷2
x=11
plug it into the equation
11+7=18
m∠6=18
I hope this is good enough:
Answer:
See steps below
Step-by-step explanation:
We need to work with each side of the equation at a time:
Left hand side:
Write all factors using the basic trig functions "sin" and "cos" exclusively:

now, let's work on the right side, having in mind the following identities:
a) 
b) 
c) 
Then replacing we get:

Therefore, we have proved that the two expressions are equal.