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Rom4ik [11]
3 years ago
11

What two consecutive numbers whose squares differ by 17

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0
The two numbers could be 8 and 9.
8×8=64 and 9×9=81.
81-64=17.
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On an interval of [0, 2π), can the sine and cosine values of a radian measure ever be equal? If so, enter the radian measure(s)
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Answer:

Yes, they are equal in the values (in radians):

π/4, 5π/4

If cos(x) and sin(x) are defined to you as nonnegative functions (in terms of lengths), then 3π/4 and 7π/4 are also included

Step-by-step explanation:

Remember that odd multiples of 45° are special angles, with the same sine and cosine values (you can prove this, for example, by considering a right triangle with an angle of 45° and hypotenuse with length 1, and finding the trigonometric ratios).

The radian measure of 45° corresponds to π/4, hence the odd multiples on the interval [0, 2π) are π/4, 3π/4, 5π/4, 7π/4.

If you define sin(x) and cos(x) using the cartesian coordinate system (via unit circle), then cos(3π/4)=-sin(3π/4) and cos(7π/4)=-sin(7π/4). In this case, only π/4 and 5π/4 are valid choices.  

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3 years ago
The mass of hintos math book is 4458 grams. What is the mass of 4 math books in kilograms
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3 years ago
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Answer:

It takes 500 seconds for sunlight to reach Earth.

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Step-by-step explanation:

Step 1) In order to solve problem number one, you would need to divide. Remember, in math in order to get from the smaller unit to the bigger unit, you divide.

Step 2) In this case, the smaller unit is the distance from the sun to earth. The bigger unit in the other hand, is the speed of light.

Step 3) 1.5 * 10^11/300,000,000 = 500

Answer: It takes 500 seconds for sunlight to reach Earth.

—

Step 1) In order to solve problem number 2, convert 26,000,000 in scientific notation which is 2.6 * 10^7.

Step 2) Now, multiply the mass of the sun by the mass of the moon.

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Step 3) Note: whenver you multiply with exponents, you must always add them, the base remains the same.

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Answer: To conclude, the mass of the sun is 18.98 * 10^28.

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