Answer:
The correct answer is A) -439
Step-by-step explanation:
Answer:
x = 30°, 90°, 150°
Step-by-step explanation:
Using the trigonometric identity
sin2x = 2sinxcosx
Given
sin2x- cosx = 0, then
2sinxcosx - cosx = 0 ← factor out cosx from each term
cosx(2sinx - 1) = 0
Equate each factor to zero and solve for x
cosx = 0 ⇒ x = 90°
2sinx - 1 = 0 ⇒ 2sinx = 1 ⇒ sinx =
⇒ x = 30° ← first quadrant
sinx > 0 in first/ second quadrant, thus
x = (180 - 30)° = 150° ← second quadrant
x = 30°, x = 90°, x = 150° for 0 ≤ x ≤ 180
Answer:
a. 3/40
b. 37/40
c. 2/39
d. 37/39
e. 3/39
h. 36/39
k. 1/260
m. 37/520
n. 37/520
w. 111/130
Step-by-step explanation:
First person:
a. 3/40
b. 37/40
_____
Second person:
left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total
c. 2/39
d. 37/39
not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.
e. 3/39
h. 36/39
_____
for the final probabilities, just multiply along the tree branches:
k = a × c = 1/260
m = a × d = 37/520
n = b × e = 37/520
w = b × h = 111/130
The distributive property
The answer is C, "ABCD are right angles", because rectangles only have 90 degree angles.