120 degrees the sum of all is 720
Answer:
cos13°
Step-by-step explanation:
Using the cofunction identity
sinx° = cos(90 - x)°
sin77° = cos(90 - 77)° = cos13°
Answer:
900 g
Step-by-step explanation:
let e be extension and w be weight
given e varies directly as w then the equation relating them is
e = kw ← k is the constant of variation
to find k use the condition w = 150 , e = 2.9 , then
2.9 = 150k ( divide both sides by 150 )
= k , that is
k = ![\frac{29}{1500}](https://tex.z-dn.net/?f=%5Cfrac%7B29%7D%7B1500%7D)
e =
w ← equation of variation
when e = 17.4 , then
17.4 =
w ( multiply both sides by 1500 )
26100 = 29w ( divide both sides by 29 )
900 = w
Given:
The equation for the area of the first option is:
![x^2+200x=166400](https://tex.z-dn.net/?f=x%5E2%2B200x%3D166400)
Where x is the side length of the current square park.
To find:
The side length of the current square park.
Solution:
We have,
![x^2+200x=166400](https://tex.z-dn.net/?f=x%5E2%2B200x%3D166400)
It can be written as:
![x^2+200x-166400=0](https://tex.z-dn.net/?f=x%5E2%2B200x-166400%3D0)
Splitting the middle term, we get
![x^2+520x-320x-166400=0](https://tex.z-dn.net/?f=x%5E2%2B520x-320x-166400%3D0)
![x(x+520)-320(x+520)=0](https://tex.z-dn.net/?f=x%28x%2B520%29-320%28x%2B520%29%3D0)
![(x-320)(x+520)=0](https://tex.z-dn.net/?f=%28x-320%29%28x%2B520%29%3D0)
![x=320,-520](https://tex.z-dn.net/?f=x%3D320%2C-520)
We know that the side length of a park cannot be negative. So, the only possible value of x is 320.
Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.
Hey there!!
The area for the volume of a cube -
s³ , s = side
volume = 216
s³ = 216
s = ∛216
s = 6
The required answer is 6
Hope my answer helps!