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Rainbow [258]
3 years ago
15

Which of the following is the exact value of cot 60°?

Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer:

\sqrt{3 }  \div 3

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HELP PICTURE IS SHOWN
Sergeu [11.5K]
You will need option A
AB = PQ
8 0
3 years ago
Read 2 more answers
Need help pleaseeeeeeeeee
sukhopar [10]
4log6-log2 =
4log(6/2)=
4log3=
log3⁴=
log81= approximately 1.9085

but I think they want you to stop at log 81
8 0
3 years ago
The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square​ kilometers, find the dimensions
Art [367]
Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
x(2x - 6) = 2 {x}^{2} - 6x

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

2 {x}^{2} - 6x = 108
Subtract 108

2 {x}^{2} - 6x - 108 = 0
Divide by 2.

{x}^{2} - 3x - 54
(x - 9)(x + 6) = 0
Rule AB = 0, gives A is 0 or B is 0.

x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
x = 9
Width
2x - 6 = 2 \times 9- 6 = 18 - 6 = 12

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!
6 0
3 years ago
Mr. Inahurry sold his house for $27,000, which is a 10% loss over what he originally paid for it. What did he pay for the house
Ainat [17]

Answer: $30,000

Step-by-step explanation:

If Mr. Inahurry had a 10% loss, it means that he paid X for the house and only got back 90% (100% - 10%) of what he paid.

This way X . 90% = 27,000

               X . 0.90 = 27,000

               X = 27,000/0.9

               X = 30,000

Counter-proof: 30,000 . 10% = 30,000 . 0.10 = 3,000

                          30,000 - 3,000 = 27,000

4 0
3 years ago
Ryan and Allison want to build a ramp to help their elderly cat, Simms, walk up the bed. They
Harman [31]

Answer:

Step-by-step explanation:

7 0
2 years ago
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