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3 years ago

What is 100,000+1,000,003 984

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer 10000103984

Step-by-step explanation:

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mixas84 [53]

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3 years ago

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:

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

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3 years ago

Find the value of x. Only enter the number. Round to the nearest tenth.

Alchen [17]

48S tep-by-step explanation:

4 0

3 years ago

A rectangle with length of 9 centimeters and width of 5 centimeters. The perimeter of the rectangle is cm. If the rectangle is d

Katarina [22]

Answer: perimeter of the rectangle is 28 cm

54 cm and 30 cm

The new perimeter of the new rectangle is 168cm

The new perimeter is 6 times greater

Step-by-step explanation:

I just answered then and got it right

5 0

3 years ago

2/3 + 1/4 what is a simplified expression?

Anna35 [415]

Answer:

11/12

Step-by-step explanation:

We need to get a common denominator of 12

2/3 *4/4 = 8/12

1/4 *3/3 = 3/12

2/3 +1/4

8/12+3/12

11/12

5 0

3 years ago