Go to where 30 degrees is on the unit circle and find the y-coordinate. That is sin30.
To factor this fraction, you have be be aware of two special factoring formula:
a^3<span> + </span>b^3<span> = (</span>a<span> + </span>b)(a^2<span> – </span>ab<span> + </span>b^2<span>)
</span><span>(a+b)³ = a³ + 3a²b + 3ab² + b³
You can see the top part in this case is (x+y)^3, and the bottom (denominator) can be factor into (x+y)(x^2-xy+y^2)
we can cancel (x+y), so what we have left is (x+y)^2/(x^2-xy+y^2)
or (x^2+2xy+y^2)/(x^2-xy+y^2)
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Answer:
area (A) =(9x+108)unit^2
perimeter (P) =(2x+42) units
Step-by-step explanation:
area(A) =length(l) × breadth(b)
perimeter(P) =2(l+ b) {which is sum of all sides}
so, l = 7+x+5 = (x+12) units and b = 9 units
now, A=(x+12) × 9 units^2
=(9×x + 12×9 ) units^2
Therefore,
A =(9x+108)unit^2
next, P=2{(x+12)+9}
=2(x+21)
Hence,
P=(2x+42) units
Answer:
0
Step-by-step explanation:
If he has already biked 5634 miles, he’s past 200 miles.
Answer: x = 4
Step-by-step explanation: To solve this equation, we could go right to our steps of subtracting 5.4 from both sides, but I would do a slightly different approach.
Since I hate working with decimals, I would get rid of them.
We can do this by multiplying both sides of the equation by 10, and remember to multiply every term by 10 to keep it balanced.
*Multiplying by 10 shifts the decimal point 1 place to the right
So we have 35x + 54 = 194 which looks a lot better.
Now subtract 54 from both sides to get 35x = 140.
Now divide both sides by 35 and x = 4.
