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3 years ago

Which number belongs as the question mark?

Mathematics

1 answer:

mafiozo [28]3 years ago

8 0

The answer is A. 6101. I got this by taking 36606 and dividing it by 6. This result in answer A. I hope this helps

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Which number produces a rational number when added to 0.53?

77julia77 [94]

The last one D because it is rational

3 0

3 years ago

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Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

7 0

3 years ago

Together a refrigerator and a desk cost $216. Find the price of each if the refrigerator costs three times as much as the desk

zheka24 [161]

Refrigerator 162$ and desk cost 54

6 0

3 years ago

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Please answer quick and fast its due today.I only have two questions

madreJ [45]

#13 is 3000 because since each T-shirt is $650 and they buy 4 you multiply and get $2600 and since she received 400 dollar change then you add that value to the total cost and get 3000 that means she paid 3000

#14 is a millennium
1 year is 365 days
1 decade is 10 years
1 century is 100 years
1 millennium is 1000 years
So it has to be 1 millennium since 1000 years is the most out of the others

6 0

2 years ago

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There is a lock with 5 buttons numbered from 1 to 5. The combination that opens this lock can be set to any sequence of buttons

Fittoniya [83]

Answer:

Answer Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis explanation the given figure has vertices p(1,2),q(2,1),r(3,2),s(3,3)recall that for counterclockwise rotation about the origin, (x,y)\rightarrow (-x,-y)when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)

Step-by-step explanation:

7 0

3 years ago