Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
If the diagonal is 32 than you will us
A^2 + b^2 = c^2
We will use the aspect ratio to find a common variable
4A = 3B
a = (3/4)B now plug it in
((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)
Now solve for B
B turns out to be 25.577 inches
Plug B in
A = (3/4)(25.577)
A = 19.18
Now add up ther perimeter A + A + B + B
19.18 + 19.18 + 25.577 + 25.577
89.6 inches
Step-by-step explanation:
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Need to FinD :</h3>
- We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
- PQ = Opposite side
- QR = Adjacent side
- RP = Hypotenuse
- ∠Q = 90°
- ∠C = θ
As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

Since, we know that,
- cosθ = 5/13
- QR (Adjacent side) = 5
- RP (Hypotenuse) = 13
So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,



∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

Where,
- Opposite side = 12
- Hypotenuse = 13
Therefore,

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

- By substituting the values, we get,


∴ Hence, the required answer is 17/7.
Answer:
(I think its C sorry if i get you wrong)
(Hope this helps)