Answer: 5:4
Step-by-step explanation:
Given : The number of convertibles = 1960
The number of minivans = 490
Total cars = 2450
The ratio of A to B can also be written as
.
The ratio of cars to convertibles = 
![=\dfrac{2450}{1960}\\\\=\dfrac{5}{4}\ \ \ \text{[Simplest form]}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2450%7D%7B1960%7D%5C%5C%5C%5C%3D%5Cdfrac%7B5%7D%7B4%7D%5C%20%5C%20%5C%20%5Ctext%7B%5BSimplest%20form%5D%7D)
Hence, the ratio of cars to convertibles = 5:4
Answer:
45 degrees
Step-by-step explanation:
Here, we want to get the value of the acute angle
From the question, we have it that the sin of the acute angle equals its cosine
Recall;
cos A = sin (90-A)
Hence, if A is 45, then Cos A and Sine A will be the same
This means the value of theta which is the acute angle is 45 degrees
Are there answer choices? If not, the older brother will get 5, and the younger sister will get 4.
The polar coordinate of any point can be written as:
(r, θ) = (r, θ + 2nπ) when positive
(r, θ) = [ - r, θ + (2n + 1)π ] when negative
The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).
When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)
When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.
Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].