When we are given a line cutting diagonally from one corner of a rectangle to the opposite corner, we are given two triangles.
300ft
____
| /|
| / |
| / |
| / |400ft
| / |
| / |
|/ |
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*not to scale
Now, using the right-angle trigonometry rule, we can find the hypotenuse (the diagonal line) which represents the footpath.
a^2 + b^2 = c^2
{where a is one side length, b is another side length, and c is the hypotenuse}
Thus, we make c the subject of the equation and substitute the other known values:
c^2 = 400^2 + 300^2
= 160,000 + 90,000
= 250,000
Now we move the 'squared' (^2) from the left hand side to the right hand side. When moving it across the equal sign (=) the result becomes the 'root' of itself:
c = _/250,000
= 500
Therefore, the length of the diagonal path is 500ft.
You can write it several ways. Here are two:
1) Proportion
160/1.00=x/0.95
(160 is the whole, 1.00 or 100%, and x is 95% of the whole. Solve for x.)
x=<u>160*0.95<em /></u> = 152/1 = 152<u>
</u> 1.00
2) Simple multiplication expression
"of" in math almost always means "multiply"
95% becomes 0.95. Multiply 0.95 by 160 to get your answer.
0.95*160=152
Either way, you get <u><em /></u><em />152, so that is your final answer.
Plot the y-intercept (0,-1) and then from that point go up seven and to the right one. Plot that point, then draw the line between the two points.
Hope this helped! Good luck! :)
Answer:
1. 4 times 8, the multiplication property 2. 34 minus 4, the subtraction property. 3. 14 divided by 3.5, the division property. 4. 10 + 6, the addition property.
Step-by-step explanation for all of the questions:
If the number in the beginning of the equation is being multiplied by another number, it is the multiplication property. It is the same for all of the other properties.
