P + r = 2.50
r = p + 1
p + p + 1 = 2.50
2p + 1 = 2.50
2p = 2.50 - 1
2p = 1.50
p = 1.50/2
p = 0.75 <=== pencil cost 75 cents
r = p + 1
r = 0.75 + 1
r = 1.75 .....ruler cost 1.75
We may draw a vertical that bisects the vertex angle and the shorter side of the triangle, to form a right-triangle with the measurements:
hypotenuse = 8
length = 1.5
We may then apply:
sin(∅) = P / H
sin(∅) = 1.5 / 8
∅ = 10.8 ≈ 11°
This is half of the vertex angle, so the vertex angle is:
11 * 2 = 22°
Answer:
(a) minor arc: arc VX
major arc: arc VYX
(b) 248 degrees
(c) Tangent: UV
Secant: UY
Step-by-step explanation:
(b) 360 - 112 = 248
(c) UV crosses on the circumference of the circle at exactly one point
UY crosses through the circle at exactly two points
Answer:
A. 5
B. 12
Step-by-step explanation:
What you do is you substitute -2 into the a and the 3 into the b.
a. 3(-2)^2-5(3)+8 b. 2/3(3)-5(-2)
3(4)-15+8 2-(-10)
12-15+8 12 is your answer.
-3+8
5 is your answer.
