Answer:
Step-by-step explanation:
V=πr2h
3
r Radius
h Height
Parallel lines will never touch each other while perpendicular forms like an X shape. The slope for the parallel is the same while the perpendicular is a negative reciprocal. (Ex for negative reciprocal. 2/4=4/2)
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
Answer:
x=10
Step-by-step explanation:
3(4x-12) = 84
Divide each side by 3
3/3(4x-12) = 84/3
4x-12 =28
Add 12 to each side
4x-12+12 = 28+12
4x= 40
Divide each side by 4
4x/4 = 40/4
x = 10
Answer:
<h2>61°</h2>
Step-by-step explanation:
Use the sine law:
We have:
Substitute:
<em>cross multiply</em>
<em>divide both sides by 6</em>
