Answer:
Option (a) is correct.
Step-by-step explanation:
Given a right angled triangle with given dimensions.
We have to find an equation that can be used to solve for side c,
Consider the given triangle ABC,
We know for ∠B = 50° , we have perpendicular = 3 m and hypotenuse is c,
Trigonometric ratio that defines the relation between perpendicular and hypotenuse is Sine.
Using trigonometric ratio,
Thus, Option (a) is correct.
Answer:
Minutes = 225
Cost = $41.75
Step-by-step explanation:
It is given that:
Cost of Plan A = $8
Per minute cost = $0.15
Let,
m be the number of minutes
A(m) = 0.15m + 8
Cost of Plan B = $17
Per minute cost = $0.11
B(m) = 0.11m + 17
For same cost,
A(m) = B(m)
0.15m+8 = 0.11m + 17
0.15m - 0.11m = 17 - 8
0.04m = 9
Dividing both sides by 0.04
Cost of 225 minutes
A(225) = 0.15(225) + 8
A(225) = $41.75
Therefore,
Minutes = 225
Cost = $41.75
Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
(Eq. 1)
Where:
- Reference point with respect to origin, dimensionless.
- Original point with respect to origin, dimensionless.
- Dilation factor, dimensionless.
If we know that ,
and
, then the coordinates of the image of the original point is:
The image of the point (1, -2) under a dilation of 3 is (3, -6).