Answer:
It is twice the area of a rectangle of length 4 units and width 2 units.
Step-by-step explanation:
Answer:
30 y
Step-by-step explanation:
We need to multiply 5 by 4y and 5 by 2 y
20y + 10y = 30y
There are 12 inches in 1 foot, so I would assume that one inch would be 12 times shorter than one foot.
Answer: x=50°
Step-by-step explanation:
For this question, you have to first find out whether you are using Sin, Cos or Tan.
To help you find out which one you are using you can use SOH CAH TOA to help you:
SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.
CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.
TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.
In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.
So first you would write:
Cos x=59/91
But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:
x=cos-1 59/91
To get the answer you would have to put this in your calculator.
So x=50°
Hope this helps :)
Answer:
![\dfrac{11}{17}](https://tex.z-dn.net/?f=%5Cdfrac%7B11%7D%7B17%7D)
Step-by-step explanation:
Lines
and
are parallel because
![\dfrac{8}{16}=\dfrac{-15}{-30}\neq \dfrac{5}{-12}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B16%7D%3D%5Cdfrac%7B-15%7D%7B-30%7D%5Cneq%20%5Cdfrac%7B5%7D%7B-12%7D)
The distance between two lines
and
can be calculated using formula
![D=\dfrac{|c_1-c_2|}{\sqrt{a_1^2+b_1^2}}](https://tex.z-dn.net/?f=D%3D%5Cdfrac%7B%7Cc_1-c_2%7C%7D%7B%5Csqrt%7Ba_1%5E2%2Bb_1%5E2%7D%7D)
Divide the equation of the second line by 2:
![8x-15y-6=0](https://tex.z-dn.net/?f=8x-15y-6%3D0)
Hence, the distance between two lines is
![D=\dfrac{|5-(-6)|}{\sqrt{8^2+(-15)^2}}=\dfrac{|5+6|}{\sqrt{64+225}}=\dfrac{11}{\sqrt{289}}=\dfrac{11}{17}](https://tex.z-dn.net/?f=D%3D%5Cdfrac%7B%7C5-%28-6%29%7C%7D%7B%5Csqrt%7B8%5E2%2B%28-15%29%5E2%7D%7D%3D%5Cdfrac%7B%7C5%2B6%7C%7D%7B%5Csqrt%7B64%2B225%7D%7D%3D%5Cdfrac%7B11%7D%7B%5Csqrt%7B289%7D%7D%3D%5Cdfrac%7B11%7D%7B17%7D)