Answer:
Show us the equation
Step-by-step explanation:
Could you put a screenshot of it
Answer:
Length is 10
Width is 8
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
![P=2l+2w](https://tex.z-dn.net/?f=P%3D2l%2B2w)
We are told that the length l is 2 more than twice the width w. In other words:
![l=2+2w](https://tex.z-dn.net/?f=l%3D2%2B2w)
Also, we are given that the perimeter is 28. Therefore:
![P=2l+2w\\28=2(2+2w)+2w](https://tex.z-dn.net/?f=P%3D2l%2B2w%5C%5C28%3D2%282%2B2w%29%2B2w)
Distribute:
![28=4+4w+2w](https://tex.z-dn.net/?f=28%3D4%2B4w%2B2w)
Combine like terms:
![28=4+6w](https://tex.z-dn.net/?f=28%3D4%2B6w)
Subtract 4 from both sides:
![6w=24](https://tex.z-dn.net/?f=6w%3D24)
Divide by 6:
![w=4](https://tex.z-dn.net/?f=w%3D4)
So, the width is 4.
And the length is 2 more than twice the width. Thus:
![l=2+2(4)\\l=2+8=10](https://tex.z-dn.net/?f=l%3D2%2B2%284%29%5C%5Cl%3D2%2B8%3D10)
The length is 10.
And we are done :)
Answer:
m∠A = 106°
Step-by-step explanation:
All three sides of the triangle are given in the question.
To find the measure of included angle A between two sides we will apply cosine formula,
BC²= AB² + AC² - 2(AB)(AC)cosA
(13)² = (10)² + (6)² - 2(10)(6)cosA
169 = 100 + 36 - 120cosA
cosA = ![\frac{-169+136}{120}](https://tex.z-dn.net/?f=%5Cfrac%7B-169%2B136%7D%7B120%7D)
cosA = -0.275
A = ![\text{cos}^{-1}(-0.275)](https://tex.z-dn.net/?f=%5Ctext%7Bcos%7D%5E%7B-1%7D%28-0.275%29)
A = 105.96°
A ≈ 106°
Therefore, m∠A = 106° will be the answer.