Answer:
Second choice
and the last 2 choices
Step-by-step explanation:
32m/16m=2 and our constant is 3 not 2 so not choice A
4m^2/2m=2m so possible 6m/2m=3 so choice B
4m/2m=2 and our constant is 3 not 2 so not choice C
10m/5m=2 same reason as A and C
10m^2/5m=2m possible...15m/5m=3 so choice E
32m^2/16m=2m and 48m/16m=3 so this last choice too
Acronym to remember the 3 basic trigonomic functions:
Soh - Cah - Toa
opposite
sin = --------------------
hypotenuse
adjacent
cos = -------------------
hypotenuse
opposite
tan = -----------------
adjacent
In your case, you can set up a sine trigonomic function, like this:
Sin 48 = 10 (adjacent)
-----
x (hypotenuse)
10
(x) Sin 48 = ------ (x)
x
(x) Sin 48 = 10
-------------- -------------
Sin 48 Sin 48
Plug in 10(sin)(48) into a calculator.
x = 7.43
I just realized that you didn't ask me to find the answer, but now you will know even more than you need to :D
Let
x---------> the length of the rectangle
y--------> the width of the rectangle
we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
y=12
x=y-5-----> x=12-5-----> x=7
the answer isthe length of the rectangle is 7 ftthe width of the rectangle is 12 ft
The formula is y=mx+b
To get the slope or m, use this formula
(the second y minus the first y)/(the second x minus the first x)
Now set it up.
(10-7)/(2--1)
3/3=slope is 1.
y=1x+b
Insert one of the points for x and y.
i will do (-1,7)
7=1(-1)+b
7=-1+b
8=b
Insert this into the final equation:
y=1x+8
Try it out. If you're not sure, try both points. If it works, then you set it up correctly.