Answer:
1.) 6√13/13
2.) 4√13/13
3.) 3
Step-by-step explanation:
given that cot(x) = 2/3
But cot(x) = 1/tan(x)
Substitutes 1/tan(x) for cot(x)
1/tan(x) = 2/3
Reciprocate both sides
Tan(x) = 3/2 = opposite/adjacent
Use pythagorean theorem to find the hypothenus.
Hypothenus = sqrt ( 3^2 + 2^2 )
Hypothenus = sqrt ( 9 + 4 )
Hypothenus = sqrt (13)
Hypothenus = √13
1.) Sin(x) = opposite/hypothenus = 3/√13
Rationalise
3/√13 × √13/√13
3√13/13
Sin(2x) = 2 × 3√13/13
Sin(2x) = 6√13/13
2.) Cos( x ) = adjacent/hypothenus
Cos (x) = 2/√13
Rationalise
2/√13 × √13 /√13
2√13/13
Cos(2x) = 2 × 2√13/13
Cos(2x) = 4√13/13
3.) Tan (x) = 3/2
tan (2x) = 2 × 3/2
Tan(2x) = 3
<h3>
<u>Answer:</u></h3>

<h3>
<u>Step-by-step explanation:</u></h3>
A figure is given to us in which we can see two triangles one is ∆ MPL and other is ∆MPN .
<u>Figure</u><u> </u><u>:</u><u>-</u><u> </u>



Hence by SAS congruence condition ,
Hence by cpct ( Corresponding parts of congruent triangles ) we can say that , LM = NM = 11 units .
<h3>
<u>Hence </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>LM</u><u> </u><u>is</u><u> </u><u>1</u><u>1</u><u> </u><u>units</u><u> </u><u>.</u></h3>
Answer:
The club made a profit of $96 from the shirt sale.
Step-by-step explanation:
First, you have to find the number of shirts sold by dividing the total amount sold by the price per shirt:
480/20=24
Now, that you know the number of shirts that were sold, you can multiply the profit per shirt for the number of shirts sold:
4*24=96
According to this, the answer is that the club made a profit of $96 from the shirt sale.
Answer:
I don't get which problem your trying to slove
Step-by-step explanation:
the answers are c, c, and a
120 pens for $24 is not a unit rate to describe this sale.