Answer:
Step-by-step explanation:
You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.
You will find when you look on your trig identity sheet that
so we will make that replacement, getting everything in terms of sin:
Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:
We can factor out the sin(theta), since it's common in both terms:
Because of the Zero Product Property, either
or
Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:
The next equation needs to first be solved for sin(theta):
so
and
Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:
A=πr2
A=3.14 x 6 x 6
answer=113.04
9514 1404 393
Answer:
a, b, c --- all <em>not</em> representative
Step-by-step explanation:
The question posed by the engineer is "are residents of the city in favor of ...".
The only representative sample is one from a pool that includes <em>all residents of the city</em>—not just those who (a) use the road, (b) live along the road, or (c) own homes.
__
<em>Additional comment</em>
The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.
Answer:
x + 2y = -1
Step-by-step explanation:
First, we'll find the slope.
Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2
Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:
y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use
y = -1/2(x + 5) + 2
y = -1/2x - 1/2
Standard form:
1/2x + y = -1/2
x + 2y = -1
The number ab², where a and b are prime numbers, has 6 divisors.
<h3>How many divisors are for the given expression?</h3>
Remember that any number can be written as a product of primes, for example, 15 can be written as:
15 = 3*5
Where 3 and 5 are primes.
Such that the divisors of 15 are the factors made with the primes on the right side.
So for the number:
N = a*b^2 = a*b*b
The divisors are:
a, b, a*b, b*b
And trivially, itself and 1, so there are a total of 6 divisors.
If you want to learn more about divisors.
brainly.com/question/629998
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