Answer:
Your answer is correct
Step-by-step explanation:
You can do this easier by doing
12.70 - (7 × 1.3) = 3.6
3.6 ÷ 2
<h3>
Answer: 18</h3>
==========================================================
Explanation:
2 cm on paper (or on screen) represents 3 meters in real life.
The backyard is 2 cm horizontally across on the screen, so it's 3 meters across in real life. This is the shorter dimension.
The longer dimension is 6 meters. We can think of it like this
2 cm : 3 meters
2*2 cm : 2*3 meters .... multiply both sides by 2
4 cm : 6 meters
The real backyard is 6 meters by 3 meters to give an area of 6*3 = 18 square meters.
First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,
Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,
Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,
Now we have y-axis. Does y axis have a slope? Yes but it is 
. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,
That is, every point of a form 
lies on y-axis.
Hope this helps :)
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
