Answer:
Ans = 2.53m
Step-by-step explanation:
It is a simple law of Cosine, on a right-angle triangle draw the length as 5 and the base as 7 the angle is 15°. Find x.
So x = 5² +7² - 2 (5) (7)cos 15°
Solve this and you get your answer.
Hope this was helpful :)
Hey there!
We are looking for the circumference of the circle, which is the distance around it. We are given the area, which is the radius squared times pi.
First, we need to undo the area to find our radius.
113.04/3.14=36
We square root this to find the radius.
√36=6
Our radius is six. To find the circumference, we need to multiply the diameter by pi. The diameter is twice the radius.
6*2=12
12*3.14=37.68
Therefore, we will need 37.68 feet of trim to around the edge of the quilt.
I hope this helps!
Answer:
That incorrect
Step-by-step explanation:
Yes
Answer:
![Area =55.4ft^2](https://tex.z-dn.net/?f=Area%20%3D55.4ft%5E2)
Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:
![\tan(60) = \frac{4\sqrt 3}{x}](https://tex.z-dn.net/?f=%5Ctan%2860%29%20%3D%20%5Cfrac%7B4%5Csqrt%203%7D%7Bx%7D)
Solve for x
![x = \frac{4\sqrt 3}{\tan(60)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%5Csqrt%203%7D%7B%5Ctan%2860%29%7D)
![\tan(60) = \sqrt 3](https://tex.z-dn.net/?f=%5Ctan%2860%29%20%3D%20%5Csqrt%203)
So:
![x = \frac{4\sqrt 3}{\sqrt 3}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B4%5Csqrt%203%7D%7B%5Csqrt%203%7D)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
At this point, we have established that the rhombus is made up 4 triangles of the following dimensions
![Base = 4\sqrt 3](https://tex.z-dn.net/?f=Base%20%3D%204%5Csqrt%203)
![Height = 4](https://tex.z-dn.net/?f=Height%20%3D%204)
So, the area of the rhombus is 4 times the area of 1 triangle
![Area = 4 * \frac{1}{2} * Base * Height](https://tex.z-dn.net/?f=Area%20%3D%204%20%2A%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20Base%20%2A%20Height)
![Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4](https://tex.z-dn.net/?f=Area%20%3D%204%20%2A%20%5Cfrac%7B1%7D%7B2%7D%20%2A%204%5Csqrt%203%20%2A%204)
![Area =2 * 4\sqrt 3 * 4](https://tex.z-dn.net/?f=Area%20%3D2%20%2A%204%5Csqrt%203%20%2A%204)
![Area =55.4ft^2](https://tex.z-dn.net/?f=Area%20%3D55.4ft%5E2)