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2 years ago

6

Eddie & Leopold ran several simulations trying to determine the probability of drawing a red beans from a bag of black white

red and green beans

1 answer:

NARA [144]2 years ago

7 0

Answer:

yes they did

good job

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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 <em>A</em> and <em>B</em> 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 <em>A:</em>

<em /> $\displaystyle o=\sqrt{61^2-60^2}=\sqrt{121}=11$ <em />

<em />

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

<em /> $h=\sqrt{45^2+28^2}=\sqrt{2809}=53$ <em />

<em />

In conclusion:

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

With respect to <em>B, </em>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 <em>A</em> and <em>B</em> 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

creativ13 [48]

Answer C. People are born into their positions.

Step-by-step explanation:

Being king gets passed down, and so does being an aristocrat.

Have a great day!!

3 0

3 years ago

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Find the missing value to the nearest hundredth for 9 and 10

Vedmedyk [2.9K]

Put in your calculator tang^-1 (17). 86.63

Tan -1(8/40) = 11.31

3 0

3 years ago

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When a ball is thrown into the air, the path that the ball travels is modeled by the parabola y − 5 = −0.05(x − 10)2, measured i

beks73 [17]

Answer:

the maximum height in feet the ball reaches 5ft

Step-by-step explanation:

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2 years ago

Simplify 4/9 + 1/3<br> A 5/12<br> B 7/9<br> C 1 1/9<br> D 15/9

ELEN [110]

Answer:

B) 7/9

Step-by-step explanation:

<h3>Fraction addition:</h3>

If the denominators are not same, find the LCM of the denominators.

LCM of 3 and 9 is 9.

Now, find equivalent fractions with denominator as 9.

$\sf \dfrac{1}{3}=\dfrac{1*3}{3*3}\\\\$

$\sf =\dfrac{3}{9}$

Now add.

$\sf \dfrac{4}{9}+\dfrac{1}{3}=\dfrac{4}{9}+\dfrac{3}{9}\\\\$

$\sf =\dfrac{7}{9}$

4 0

1 year ago

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