-3w= -7w-7 =
-3w+7w = -7w+7w - 7 =
4w= -7
4w/4 = -7/4 =
w = -7/4
Answer:
1/10
Step-by-step explanation:
Because there are 10 markers and only one is yellow. so you have a one in ten chance to pull a yellow marker.
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You can use the identity
cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.
(1/4)² +sin(x)² = 1
sin(x)² = 1 - 1/16
sin(x) = ±(√15)/4
Then the tangent can be computed as the ratio of sine to cosine.
tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
tan(x) = ±√15
There are two possible answers.
In the first quadrant:
sin(x) = (√15)/4
tan(x) = √15
In the fourth quadrant:
sin(x) = -(√15)/4
tan(x) = -√15
In the smaller triangle, let 
be the length of the smallest leg. Then the smallest leg in the larger triangle is 
.
Within the scope of the smaller triangle, we have such that
Then within the larger the triangle, we would have
Now we can solve for 
:
