Answer:
(-2, 6)
Step-by-step explanation:
Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.
Start by looking at the difference in the X and Y coordinates.
X = | -4 - 12 | = | -16 | = 16
Y = | 7 - -1 | = | 8 | = 8
You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.
Now add those calculated offsets to point A.
A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.
The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.
So the coordinates for C is (-2, 6)
Answer:
3.3333 hours
Step-by-step explanation:
From the attached table :
Downhill skiing for 1/6 hours ; results in 100 calories burn
To burn 1000 calories :
Skiing hours required :
(1000 / 100) * (1/6)
10 * 1/6 = 10 /6 hours
Planned skiing hours = 5
Number of skiing hours after lunch will be :
5 hours - 10/6 hours
5 hours - 1.6666 hours
= 3.3333 hours
Given :
A 136 foot tall cell phone tower casts a 79.9 foot shadow.
To Find :
The shadow length for a nearby 40 foot telephone pole .
Solution :
We know , the ratio of height and shadow , will be same for every object .
Let , length of shadow of pole is x .
So ,
Therefore , the length of shadow of tower is 23.5 foot .
Hence , this is the required solution .
Make a table graph and go from 0-10 top for weeks and bottom for miles, label one Jeramy and the other one tony. For Jeremy add one mile each week and for timely add to by week 4 they both should have ran 10 miles
<span>Let A = the area of the whole circle
Let S = the area of the shaded portion</span><span>
The shaded area is a portion of the circle that is determined by the ratio of the shaded sector to the whole circle of 360 degrees, or
S = (60/360) </span>× <span>A = ( 1 / 6 ) </span>× 12 = 2 ;
