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2 years ago

405 degrees to radians in terms of pi

1 answer:

3 0

Convert degrees to radians, multiply by π/180° , since a full circle is 360 ° 360 or 2π radians.
− 405°⋅ π /180° radians

Cancel the common factor of 45 .
-9 ⋅ π/4 radians

Combine −9 and π/4
-9π/4

Move the negative in front of the fraction.
-9π/4 radians

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Combine like terms in the expression 4k + 2k - k + 3. please help this is urgent

victus00 [196]

4k + 2k - k + 3

6k - 1k + 3

5k + 3

Answer: 5k + 3

3 0

2 years ago

Read 2 more answers

COMPLETE Find the value of the function for O. sin(45°) = ?

geniusboy [140]

Answer: $\sqrt{2}/2$ which is Choice B

This is the same as writing $\frac{\sqrt{2}}{2}$

The second "2" is not under or inside the square root.

==========================================================

Explanation:

Refer to the unit circle below. I've highlighted the angle 45 degrees and its corresponding sine value. It's the y coordinate of the point on the unit circle, for this particular angle.

Therefore, $\sin(45^{\circ}) = \frac{\sqrt{2}}{2}$

--------------

You could alternatively draw out a 45-45-90 triangle. Let x be the leg length and the hypotenuse is 1 unit long. Solve $x^2+x^2 = 1$ for x and you should get $x = \frac{\sqrt{2}}{2}$ as the length of each leg.

Then take the ratio of the opposite over hypotenuse to find the same answer mentioned above.

6 0

1 year ago

Anna makes unique jewelry. The owner of the "Unique" store agreed with Anna to deliver 20 bracelets a week. At the moment, Anna

fgiga [73]

Answer:

7 weeks

Step-by-step explanation:

80 ÷ 20 = 4

She over those four week she makes 17 per week. So,

17 × 4 = 68

Next, divide the product by 20:

68 ÷ 20 = 3.4

But 3.4 is only 3 full weeks so then its 3.

Lastly, add the 3 weeks we just solved for the the 4 weeks from before and you get 7 weeks.

So, Anna will be able to supply the "Unique" store for 7 weeks.

I HOPE I HELPED!!!!!!!!!! :))))))

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3 years ago

Enter a range of values for x. 85° 25 5x - 10 [ ? ] Enter

Nataly_w [17]

<h3>Answer: 2 < x < 7</h3>

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Explanation:

We'll use the hinge theorem here. This says (more or less) that the larger an angle is, the side opposite of that will be longer.

Imagine that the segments with the single tickmarks represent a door swinging open/shut. The more open a door is, the further the distance it is from the handle to the frame. In terms of these triangles, the segment 25 is larger than 5x-10 because the angle 90 (opposite the 25) is larger than the angle 85 degrees (opposite the 5x-10)

In symbols we say

5x - 10 < 25

We also say 5x - 10 > 0 or 0 < 5x - 10 to ensure that the segment of length 5x-10 is not 0 or negative.

Put the two inequalities together and we get 0 < 5x - 10 < 25

------------

Solve for x

0 < 5x - 10 < 25

0+10 < 5x - 10 < 25 + 10 .... adding 10 to all sides

10 < 5x < 35

10/5 < 5x/5 < 35/5 ... dividing all sides by 5

2 < x < 7

We have x between 2 and 7, and not equal to either endpoint.

3 0

3 years ago

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry c

Dafna1 [17]

Answer:

To spend at most $93, they need to rent the room less than or equal 13 hours.

Step-by-step explanation:

The complete question is

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,

Let

t ----> the number of hours

we know that

I this problem the word "at most" means "less than or equal to"

The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93

The inequality that represent this situation is

$6t+15\leq 93$