By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.
Therefore the area of the isosceles triangle is
6•4/2=12
However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by
6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2
There are 9,000 markers in total
750 x 12 = 9,000
Answer:
D. negative
Step-by-step explanation:
Let's analyze each answer choice.
A. Zero
A line with a zero slope is a horizontal line. The x values change, but the y values stay the same.
B. Undefined
A line with an undefined slope is a vertical line. The x values don't change and the y values vary.
C. Positive
When a line has a positive slope, the line increases from left to right.
D. Negative
When a line has a negative slope, the line decreases from left to right.
When we move from left to right on the graph, the line moves down. Therefore, this line must have a negative slope and D is correct.
Answer:
8.8 breaths
Step-by-step explanation:
