Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get
According to Law of sines,
Using Law of sines, we get
Multiply both sides by 0.8572.
Therefore, the length of i is about 530 inches.
Function P . . . . . y = 5x + 3
Function Q . . . . . y = 2x + 4
Function P rate of change = 5
Function Q rate of change = 2
The first one is => 3 <= more than second one.
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)
In order to find what one part is in a ratio, you have to add the ratio up ( 5+ 3) and divide it by the number you're looking for (56). In this case, you get 56/8, which gives you 7. Therefore, each part is worth 7. You then have to multiply both sides of the ratio (5 and 3) by 7. 5x7= 35. 3x7= 21.
Therefore, 56 divided into the ratio of 5:3 is 35:21
Answer:
x = -3
Step-by-step explanation:
Step 1: Write out equation
6 - 4x = 6x - 8x + 12
Step 2: Combine like terms (x)
6 - 4x = -2x + 12
Step 3: Add 4x on both sides
6 = 2x + 12
Step 4: Subtract 12 on both sides
-6 = 2x
Step 5: Divide both sides by 2
-3 = x
Step 6: Rewrite
x = -3
