The construction is missing, so i have attached it.
Answer:
Use the incenter to determine the center to construct the circle.
Step-by-step explanation:
From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.
Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.
Knowing base angles theorem, we know that if the triangle is isosceles, then the bottom base angles and congruent. That means that, we must subtract 80 from 180 and then divide the number by 2, since we must find 1 base angle. This brings us to the answer, 50 degrees.
Hope this helps! <3
Answer:
(A) 46 seconds
Step-by-step explanation:
You can arrive at an answer to this question at least two ways:
<h3>1)</h3>
Read the time from the graph.
Locate 144 on the vertical scale, just below halfway from 140 to 150. Locate the point on the graph that is at this vertical height. It is a little more than halfway between 40 and 50 on the horizontal scale.
The only answer choice in that neighborhood is t = 46 seconds.
__
<h3>2)</h3>
Use the given formula, and solve it for the time.
d = 1.5t +75
144 = 1.5t +75 . . . the distance of interest is 144
69 = 1.5t . . . . . . . .subtract 75
69/1.5 = t = 46 . . . seconds
Answer:
See below
Step-by-step explanation:
The independent variable should be the size and the dependent variable the price.
This is the most logical approach if the manager wants to have an idea about what price could be adequate for future models with different sizes.
The first thing to do if we want to determine if there appears to be a relationship between the variables is to draw the scatter plot
<h3>(See picture attached)
</h3>
From the scatter plot we can tell that there is an apparent directly proportional relationship between size and price (the larger the size, the larger the price).
We could now try and compute the Pearson correlation coefficient r given by
where
are the sizes
are the prices
n = number of observations (7)
If we did so, we would find that<em> r = 0.9</em>, which tells us that there is a good linear correlation between size and price.
Answer:
6. Because to decrease = number × 100-% over 100(as a fraction)
which is =39.99 ×100-30% over 100
= 39.99 × 70/100
=27.993
After you take your answer from the decrease and subtract from the original price which is 39.99
39.99-27.993 *note the 39.99 has a zero at the end
the answer = 11.997 Rounded off it becomes 12