For the cosecant we will get:
So the correct option is the third one.
<h3>Which of the following choices is the value of cscθ given that cosθ= √2/2?</h3>
First, we can write:
Now, remember that:
And for the sine we have:
Then the cosecant for these possible values of x gives:
So the correct option is the third one.
If you want to learn more about trigonometric functions:
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Answer: zero slope
Explanation: The equation y = -4 can be thought of as y = 0x - 4.
So our line has a slope of 0 and a y-intercept of -4.
This line is a flat line or horizontal.
In fact, when the equation of any line reads y = <em>a number</em>, its slope
will always be 0 because it's a horizontal line.
So, this line has a slope equal to <em>zero</em>.
<u>Answer:</u>
The city should pay at most $16 million to the contractors as an incentive for completing the project four weeks earlier.
<u>Explanation:
</u>
Total number of saved work hours = 4 weeks * 40000 workers/week * 10 hours/worker = 1,600,000 work hours
So, Money saved = 1,600,000 work hours * $10/ work-hour
= $16 million
Therefore, the city should pay at most $16 million to the contractors as an incentive for completing the project four weeks earlier.
Answer: -2a^3 + 9a^2 + 45a + 18b^2 + 6ab^2
Step-by-step explanation:
(a + 3) * (-2a^2 + 15a + 6b^2)
We open the brackets with (a + 3)
a ( -2a^2 + 15a + 6b^2) + 3(-2a^2 + 15a + 6b^2)
Opening the brackets
= a * -2a^2 = -2a^3
a * 15a = 15a^2
a * 6b^2 = 6ab^2
3 * -2a^2 = -6a^2
3 * 15a = 45a
3 * 6b^2 = 18b^2
Let's arrange those values weve gotten together ,don't forget the signs each carry
= -2a^3 + 15a^2 + 6ab^2 - 6a^2 + 45a + 18b^2
Collect the like terms
= -2a^3 + 15a^2 - 6a^2 + 6ab^2 + 45a + 18b^2
= -2a^3 + 9a^2 + 6ab^2 + 45a + 18b^2