solution:
we know that ,
u.v = ΙuΙ ΙvΙcosθ
here,
θ =60° (since the given triangle is equilateral triangle)
u.v = ΙuΙ ΙvΙcos60°
= 1 x 1 x 1/2
u.v = 1/2
now, u.w = ΙuΙ ΙwΙcosθ
= ΙuΙ x cos(60x2)
u.w = -1/2
Answer:
A. 1 centimeter
Step-by-step explanation:
To solve you could use a proportion, in this case, 2/8=x/4. You can cross multiply to find the value of x. 8x=2*4, then simplify, 8x=8. Finally isolate the variable by dividing by 8. 8x/8=8/8, simplified that equals x=1.
Let , the supplementary angle be x
then,
x + 69 = 180
x = 180 - 69
x= 111 degrees
so the supplementary angle of 69 degrees is 111 degrees
10% chance of burning out
100-10= 90% chance of not burning out
90% = 0.9
3 lightbulbs
0.9^3 = 0.729 = 72.9%
The probability that all 3 lightbulbs stay lit by the end of the month is 72.9%
9514 1404 393
Answer:
CG = 19
FB = 14.7
Step-by-step explanation:
The circumcenter is equidistant from the triangle vertices, so GA = GB = GC.
The length of GA is given, so we have ...
GA = 19 = CG
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Then the Pythagorean theorem can be used to find FB.
FB² +FG² = GB²
FB² = GB² -FG² = 19² -12² = 217
FB = √217 ≈ 14.7
