Answer:
![New\ Lengths = (14,21)](https://tex.z-dn.net/?f=New%5C%20Lengths%20%3D%20%2814%2C21%29)
![New\ Scale\ Factor = \frac{1}{7}](https://tex.z-dn.net/?f=New%5C%20Scale%5C%20Factor%20%3D%20%5Cfrac%7B1%7D%7B7%7D)
Step-by-step explanation:
Given
Rectangle:
Length = 2 in
Width = 3 in
Scale Factor = 7
Solving (a):
The side lengths of the new scale is calculated as follows;
New Lengths = Old Lengths * Scale Factor
![New\ Lengths = (2,3) * 7](https://tex.z-dn.net/?f=New%5C%20Lengths%20%3D%20%282%2C3%29%20%2A%207)
![New\ Lengths = (2 * 7,3* 7)](https://tex.z-dn.net/?f=New%5C%20Lengths%20%3D%20%282%20%2A%207%2C3%2A%207%29)
![New\ Lengths = (14,21)](https://tex.z-dn.net/?f=New%5C%20Lengths%20%3D%20%2814%2C21%29)
Solving (b): To go back to the original length
Given that the initial scale factor is 7;
The new scale factor is the reciprocal of the old factor;
Hence;
![New\ Scale\ Factor = \frac{1}{7}](https://tex.z-dn.net/?f=New%5C%20Scale%5C%20Factor%20%3D%20%5Cfrac%7B1%7D%7B7%7D)
Answer:
n+3=5m
Step-by-step explanation:
Answer:
x ≈ 33.0
Step-by-step explanation:
The third angle in the triangle is
180° - 70° - 76° = 180° - 146° = 34°
Using the Sine rule in the triangle
=
( cross- multiply )
x × sin34° = 19 × sin76° ( divide both sides by sin34° )
x =
≈ 33.0 ( to the nearest tenth )
Answer:
i think the correct answer is letter D im not sure
Step-by-step explanation:
X time 0.8 (or 80 percent)= 15
so 15/0.8=X
18.75