Answer:
5
Step-by-step explanation:
In a 30 60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.
Answer:
13
Step-by-step explanation:
(7x3)-2(5+1)+4=13
Answer:
Yes
Step-by-step explanation:
Given
Required
Is D a subset of itself?
A subset is defined in such a way that, all elements of the subset can be found in the main set.
So; because set D contains all of its elements, then D is a subset of itself.
Answer:
steps below
Step-by-step explanation:
cot 10° * cot 20° * cot 70° * cot 80° * cot 45°
= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)
= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)
= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°)) ... cos90° = 0 cos60° = 1/2
= (1/8*cos50°) / (1/8*cos50°)
= 1
