Answer:
D, E
Step-by-step explanation:
The applicable formula is ...
s = rθ
so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...
D) The length of the arc defined by the angle is 1.5 times longer than the radius.
E) The ratio of arc length to radius is 1.5.
Answer: I believe it the probability of this would be 1/3.
Step-by-step explanation: This is mainly because if the chances of rolling a 5 or a 4 on a die or fair numbered cube, which contains 6 sides, then landing on 5 or 4 would be 2 out of the six chances it would land on those two numbers. Hope this helps!
Answer:
She has 60% of money left.
Step-by-step explanation:
You have to find out how much Php that Lei has left :
Php 150 - Php 48 - Php 12 = Php 90
She has a remaining of Php 90. Next, you have to find the percentage by dividing hy original amount and then, multiply by 100 :
(90/150)×100 = (3/5)×100 = 60%
Answer:
cot∅ = (-2√30)/7.
Step-by-step explanation:
Given the value of csc∅ = -13/7 and ∅ is in quad III.
We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).
It means y = -7, r = 13.
We know x² + y² = r².
x² = r² - y²
x² = (13)² - (-7)² = 169 - 49 = 120.
x = √120 = 2√30.
we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.
Hence, cot∅ = (-2√30)/7.
Answer:
Step-by-step explanation:
The directrix is a vertical line, so the parabola is horizontal. The focus lies to the left of the directrix, so the parabola opens to the left.
For a left-opening parabola:
x = a(y-k)²+h,
a < 0,
vertex (h,k)
focal length p = 1/|4a|
focus (h-p, k)
directrix: x=h+p
Apply your data
focus (1,-4)
directrix x=2
vertex (1.5,-4).
focal length p = 0.5
a = -1/|4p| = -½
x = -½(y-2)²+ ½
