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ratelena [41]
4 years ago
12

Explain how to find the exact value of cot 5pi/3 , including quadrant location.

Mathematics
1 answer:
Vanyuwa [196]4 years ago
6 0

Answer:

- √3 / 3, 4th quadrant

Step-by-step explanation:

cot 5π/3 = cot 5 x 180° / 3 = cot 300° ( 4th quadrant)

cot 5π/3 = - √3 / 3

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A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 5 centimeters. What is the su
ladessa [460]

Answer: 158cm^2

Step-by-step explanation:

You can use the following formula to calculate the surface area of the right rectangular prism:

SA = 2(wl +lh + hw)

Where "w" is the width, "l" is the length, and "h" is the height.

Knowing that this rigth rectangular prism  has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.

Then, the surface of the right rectangular prism is:

SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2

4 0
3 years ago
Read 2 more answers
jocelyn bought 2 sweaters for the same price. she paid 23.56,including sales tax of 1.36 and a 5.00 discount coupon. what was th
wel
Number of sweaters bought by Jocelyn = 2
Price of the 2 sweaters including tax and discount coupon = 23.56
Amount of ales tax taken = 1.36
Amount of discount coupon = 5.00
Then
Price of 2 sweaters before tax = 23.56 - 1.36
                                                 = 22.20
Then
Price of the sweater before discount coupon was applied = 22.20 + 5.00
                                                                                             = 27.20
So
Price of 1 sweater before tax and coupon discount = 27.2/2
                                                                                   = 13.6
So the price of 1 sweater before tax and coupon discount is 13.6.
6 0
3 years ago
What is the value of x?
andrey2020 [161]

Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°

Therefore, we can set up this equation:

(2x + 24) + x = 180 ⇒ Remove parentheses

2x + 24 + x = 180 ⇒ Combine like terms

3x + 24 = 180 ⇒ Subtract 24 from both sides

3x = 156 ⇒ Divide both sides by 3

x = 52°


3 0
3 years ago
Read 2 more answers
The yearbook club is handing out T-shirts to its members. There are 5 blue, 7 green, 9 red, and 4 yellow T-shirts in all. If Jac
damaskus [11]

Answer:

n(R)=9

n(Y)=4

n(B)=5

n(G)=7

n(s)25

probability of getting red =n(R)/n(S)=9/25

6 0
3 years ago
A migrating bird flies 700 miles in 1414 hours. How many miles does it fly in 33 ​hours
Lisa [10]
In  1414 hours it covered 700 miles

In  1 hour it would have covered  (700/1414) mile

In 33 hours it will then cover :          700/1414  * 33 = 16.34

So in 33 hours it will cover ≈ 16.34 miles.
5 0
3 years ago
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