Given:
The fractions are:
To find:
The each fraction as the sum of a whole number and a fraction less than 1.
Solution:
The given fraction is .
Therefore, the given fraction can be written as
.
The given fraction is .
Therefore, the given fraction can be written as
.
The given fraction is .
Therefore, the given fraction can be written as
.
Answer:
<u>The correct answer is letter c.</u>
Step-by-step explanation:
The area equation of a triangle is given by:
(1)
Where:
b is the base
h is the height
Let's find first the angle MJK (α), using the tangent definition.
Now, if α = 37° then β (angle JLK) must be:
Now, we can find the distance ML using again the tangent definition:
The base of the triangle LKJ will be:
Therefore, using equation (1) the area of △LKJ will be:
The correct answer is c.
I hope it helps you!
Answer:
The answer is below
Step-by-step explanation:
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 21 8 24 9 27 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid.
Answer: Let the number of books be represented as x and the cost (dollars) be represented as y. From the table the ordered pairs in the form (x, y) can be gotten. (7, 21), (8, 24), (9, 27). To get the relationship between the number of books and the cost, we can use the formula of a straight line.
Using point (7, 21) and (8, 24):
When the number of books ordered is 1, 2, 3 the following pairs are:
For x = 1. y = 3x = 3(1) = 3
For x = 2 y=3x = 3(2) = 6
For x = 3 y = 3x = 3(3) = 9
The ordered pairs are (1, 3), (2, 6), (3, 9)
The graph is attached
To plot the ordered pairs, the number of books are plotted on the x coordinate and the cost on the y coordinate
