Answer:
2.85714285714
Step-by-step explanation:
just searched it.
The reason is because she didn't survey the school, but only surveyed her class, and to add to that It didn't say it was a random selection of students. Juliet concludes that short stories is the favorite type of book of the students in her school because 80% of the students in her class like short stories. Just because most of her class chose short stories she believes the rest of the school will have the same choice.
Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>


A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>


A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.
When two linear equations have only one solution the two lines on a graph would intersect each other ( they would only touch in one spot).
Answer:
(20,-4)
Step-by-step explanation:
We are given;
One end point as (2,5)
Point of division as (10,1)
The ratio of division as 4:5
We are required to calculate the other endpoint.
Assuming the other endpoint is (x,y)
Using the ratio theorem
If the unknown endpoint is the last point on the line segment;
Then;
=
+![\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C5%5Cend%7Barray%7D%5Cright%5D)
Therefore; solving the equation;

solving for x
x = 20
Also

solving for y
y= -4
Therefore,
the coordinates of the end point are (20,-4)