The ratio of the side measures are 6:7:9.
Let's assume length of three sides of the triangle is 6x, 7x and 9x.
Given,perimeter of a triangle is 110 inches.. Perimeter is the sum of all three sides of the triangle. So, we can set up an equation as follows:
6x+7x+9x= 110
22x =110
Dividing each sides by 22.
x=5.
Now we can plug in x=5 in all the expressions of sides.
So, 6x=6(5)=30,
7x=7(5)=35
9x=9(5)=45.
So, the sides of the triangle are 30 inches, 35 inches and 45 inches.
Answer:
4 x 12 = 48, 48 divided by 2 = 24
8 x 12 = 96
96 + 24 = 120 ft^2
Answer:
cos2t/cos²t
Step-by-step explanation:
Here the given trigonometric expression to us is ,
We can write the numerator as ,
Recall the identity ,
Using this we have ,
Again , as we know that ,
Therefore we can rewrite it as ,
Again using the first identity mentioned above ,
Or else we can also write it using ,
Therefore ,
And we are done !
Additional info :-
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We can rewrite cos 2x as ,
As we know that ,
So that ,
On simplifying,
Hence,

Let's analyze the increments for each step of the sequence:
Each step we add 3 to the previous number.
Since we need the 20th, from what we saw, in the 20th term we will have added three 20 times.
So the procedure is: calculate how much is 3 times 20 and then add that to the first term of the sequence.

So we add 60 to the first term to find the 20th term:

Answer: 124