From the graph: there are 200 students overall. For the next 100, we can divide each number by 2 to find an estimate for how many with participate in MATH tutoring. 40 divided by 2 =20 students participating in MATH tutoring.
Part B- There are currently 55 students out of 200 in SCIENCE tutoring. We add 55 more for 400 = 110, add 55 more for 600=165, and then add half of 55 (27.5 or 28 because you CANNOT have half a student) for 700 students total. 55+55+55+28=193 students.
Answer:
15
proof on pic......................
Answer:
442554 square miles
Step-by-step explanation:
The area of a triangle is given by :
0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.
We will find ∅ by applying cosine rule:
c^2 = a^2 + b^2 − 2ab cos(∅)
Where ∅ is angle between sides a and b.
In this example:
a=1028, b=1046, c= 965
Plugging in the values, we get ∅=55.4°
Applying the formula for Area:
0.5*A*B*Sin(∅)
0.5*1028*1046*Sin(55.4)= 442554 square miles
5a)
2x + 94 = 7x + 49 (vertical angles are equal)
2x - 7x = -94 + 49
-5x = -45
x = 9
Answer
9
5b)
4y + 7x + 49 = 180 (supplementary angles, sum = 180)
4y + 7(9) + 49 = 180
4y + 112 = 180
4y = 68
y = 17
Answer
17
6)
x = 6x - 290 (vertical angles are equal)
-5x = -290
x = 58
Answer
58