Sun is 35. Since=cos(90-x)
Answer:
Here the answer on how to graph
Answer:2 in.
Step-by-step explanation:
Given
Dimension of photo frame is ![20\ in.\times 24\ in.](https://tex.z-dn.net/?f=20%5C%20in.%5Ctimes%2024%5C%20in.)
If the photo cover an area of ![320\ in.^2](https://tex.z-dn.net/?f=320%5C%20in.%5E2)
Suppose x be the width of border
Therefore dimension of frame without border is
![A'=(20-2x)(24-2x)](https://tex.z-dn.net/?f=A%27%3D%2820-2x%29%2824-2x%29)
And
must be equal to ![320\ in.^2](https://tex.z-dn.net/?f=320%5C%20in.%5E2)
So,
![\Rightarrow (20-2x)(24-2x)=320](https://tex.z-dn.net/?f=%5CRightarrow%20%2820-2x%29%2824-2x%29%3D320)
![\Rightarrow (10-x)(12-x)=80](https://tex.z-dn.net/?f=%5CRightarrow%20%2810-x%29%2812-x%29%3D80)
![\Rightarrow 120-10x-12x+x^2=80](https://tex.z-dn.net/?f=%5CRightarrow%20120-10x-12x%2Bx%5E2%3D80)
![\Rightarrow x^2-22x+40=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2-22x%2B40%3D0)
![\Rightarrow x^2-20x-2x+40=0](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E2-20x-2x%2B40%3D0)
![\Rightarrow (x-2)(x-20)=0](https://tex.z-dn.net/?f=%5CRightarrow%20%28x-2%29%28x-20%29%3D0)
Thus there are two values of x out of which
is not valid because it is not feasible
thus width of border is ![x=2\ in.](https://tex.z-dn.net/?f=x%3D2%5C%20in.)
Answer:
1. The new scale drawing is bigger than the original because when drawing 6ths, one 4th is equal to about two 6ths.
2. I don't know the answer to 2, I'm not that good at math.
Answer:
5x=5(20)=20 for Ed
2x=2(20)=40 for pete
together they had 140 cars
Step-by-step explanation:
5:2 is the ratio
5x-30=2x+30 tat when Ed gave Pete 30 cars
solve for x
5x-2x=30+30
3x=60
x=20
substitute for x: 5x=5(20)=20 for ED
2x=2(20)=40 for pete