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Ganezh [65]
3 years ago
9

Evaluate exactly in radians: arctan(1/sqrt(3)). Show solution w/ explanation.

Mathematics
1 answer:
balandron [24]3 years ago
5 0
Arc tan ( 1/√3 ) = arc tan ( √3/3 ) = 30°
180° = π ( in radians )
30° = 180°/6  = π/6 
 
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How is this solved?​
Licemer1 [7]

Count the number of cubes in the first layer.

There is 16 cubes in the first layer.

Now divide the total number of cubes by the cubes per layer:

48 cubes / 16 cubes per layer = 3 layers.

4 0
3 years ago
14. A triangle has vertices at A(4,2), B(-4,-2), and
nasty-shy [4]

Answer:

A

Step-by-step explanation:

Each coordinate of the triangle will have to dilate by 1/2 in order for the triangle to be fully dilated. Let's check each option to see which one has the correctly dilated points.

First, we'll look at A. A(4, 2) goes to A'(2, 1)... which is looking good so far! Half of 4 is 2, and half of 2 is 1, so the right dilation was applied. Next, let's check out B. B(-4, -2) goes to B'(-2, -1), which is still looking okay. Half of -4 is -2, and half of -2 is -1. Finally, we'll check the point C. If this one is correctly dilated, option A is the right option. C(2, -4) goes to C'(1, -2), and we can now be sure that option A is correct. Half of 2 is 1, and half of -4 is -2.

So, option A is the one to select. Hopefully that's helpful! :)

8 0
2 years ago
You babysit to make a little extra money. You charge $12 an hour and earned $180 by the end of the month. How many hours did you
BabaBlast [244]

Answer:

The equation is 12x=180. You worked for 15 hours.

Step-by-step explanation:

Do 12x=180 then divide by 12. You get x=180/12. Then simplify

4 0
3 years ago
Read 2 more answers
Hurry!
PolarNik [594]

Answer: 3

Step-by-step explanation:

Volume = pir2h/3

3 0
3 years ago
a company is billed $1850 with a cash discount of 5% offered for payment within 10 days. How much could it save?
matrenka [14]

Answer:

It can save $ 92.5.


Step-by-step explanation:

Total amount of  bill is  =  $1850

Offered discount on the total bill on cash payment with in 10 days  = 5% of the bill .

It can save the discount offered on cash payment which is obtained by finding the percentage of  total bill

Discount in dollars = 5% of $1850

                            =   0.05 x 1850

                            =   $92.5

therefore it can save $92.5 of the total bill payment if it is paid with in 10 days of billed date to avail the discount offered.

$ 92.5 is the answer .

                   



4 0
3 years ago
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