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3 years ago

How do slope angle relate to delta y

Mathematics

1 answer:

raketka [301]3 years ago

3 0

Answer:

"The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x. The y-intercept indicates the y-value when the x-value is 0."

https://education.ti.com/html/t3_free_courses/calculus84_online/mod02/mod02_lesson3.html#:~:text=The%20slope%20and%20y%2Dintercept%20values%20indicate%20characteristics%20of%20the,the%20x%2Dvalue%20is%200.

Step-by-step explanation:

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For positive acute angles A and B, it is known that cos A= 60/61 and tan B= 45/28. Find the value of sin(A+B) in simplest form

inna [77]

Answer:

$\displaystyle \sin(A+B)=\frac{3008}{3233}$

Step-by-step explanation:

We are given that:

$\displaystyle \cos(A)=\frac{60}{61}\text{ and } \tan(B)=\frac{45}{28}$

And that the two angles A and B are both in QI (positive acute angles).

Given this, we want to determine the value of sin(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, we can determine the opposite side with respect to A:

$\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11$

Likewise, for B, tangent gives the ratio of the opposite side to the adjacent. Using this information, we can determine the hypotenuse of B:

$h=\sqrt{45^2+28^2}=\sqrt{2809}=53$

In conclusion:

With respect to A, the adjacent side is 60, the opposite side is 11, and the hypotenuse is 61.

With respect to B, the adjacent side is 28, the opposite side is 45, and the hypotenuse is 53.

We can rewrite our original expression as:

$\sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A)$

And since A and B are both in QI, all trigonometric ratios will be positive.

Using the above conclusions, substitute:

$\displaystyle \sin(A+B)=\left(\frac{11}{61}\right)\left(\frac{28}{53}\right)+\left(\frac{45}{53}\right)\left(\frac{60}{61}\right)$

Simplify. Hence:

$\displaystyle \sin(A+B)=\frac{308+2700}{3233} = \frac{3008}{3233}$

7 0

3 years ago

A real number line can represent both real and imaginary numbers True or false ?

forsale [732]

Answer:

True

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If you were to run a real-world company, the cost of the materials would be a big consideration. A savvy business person would w

iris [78.8K]

Knowing how much space an object takes up would help minimize the amount of material because they know how much they have to order and would not have to order any extra

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2 years ago

You are paid $78 for 61/2 hours of work. What is your rate of pay?

FrozenT [24]

You are paid $78 for 61/2 hours of work.
Question: What is your rate of pay?
=> 78 dollars = is the money paid to you
=> 6 and ½ is the time you rendered for work
=> 6 and half hours = 6.50 hours or 6 hours and 30 minutes
Solution:
=> 78 dollars / 6.5 hours = 12 dollars.
Thus, your rate is 12 dollars per hour (12 dollars/h)

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2 years ago

A woman making $32,000

Tpy6a [65]

Percentage increase= $768÷32000=0.024

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2 years ago