So hmm notice the picture below
thus
![\bf \cfrac{y}{tan(64^o)}=\cfrac{y}{tan(46^o)}-100\implies \cfrac{y}{tan(64^o)}-\cfrac{y}{tan(46^o)}=-100 \\\\\\ y\left[ \cfrac{1}{tan(64^o)}-\cfrac{1}{tan(46^o)} \right]=-100\implies y=\cfrac{-100}{\frac{1}{tan(64^o)}-\frac{1}{tan(46^o)}}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7By%7D%7Btan%2864%5Eo%29%7D%3D%5Ccfrac%7By%7D%7Btan%2846%5Eo%29%7D-100%5Cimplies%20%0A%5Ccfrac%7By%7D%7Btan%2864%5Eo%29%7D-%5Ccfrac%7By%7D%7Btan%2846%5Eo%29%7D%3D-100%0A%5C%5C%5C%5C%5C%5C%0Ay%5Cleft%5B%20%5Ccfrac%7B1%7D%7Btan%2864%5Eo%29%7D-%5Ccfrac%7B1%7D%7Btan%2846%5Eo%29%7D%20%5Cright%5D%3D-100%5Cimplies%20y%3D%5Ccfrac%7B-100%7D%7B%5Cfrac%7B1%7D%7Btan%2864%5Eo%29%7D-%5Cfrac%7B1%7D%7Btan%2846%5Eo%29%7D%7D)
make sure your calculator is in Degree mode, since the angles are in degrees
Answer:
7
Step-by-step explanation:
<span> co effienct a numerical or constant quantity placed before and multiplying the variable in an algebraic expression</span>
sinE is 0.5
What are similar triangles?
Two triangles will be similar if the angles are equal (corresponding angles), and sides are in the same ratio or proportion (corresponding sides). Similar triangles may have different individual lengths of the sides of triangles, but their angles must be equal and their corresponding ratio of the length of the sides must be the same.
Clearly, given triangle AFB and triangle DFE are similar.
We know that Similar Triangles have the same corresponding angle
We can find sinE as show below:
From diagram clearly
∠A=∠E
and ∠B=∠D
Since, ∠A=∠E
Taking sin on both sides
sinA=sinE
Give, sinA=0.5
sinA=sinE=0.5
⇒ sinE=0.5
Hence, sinE is 0.5
Learn more about Similar triangles here:
brainly.com/question/11920446
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The answer for number 5 is $132 because 36/3=12,12*11=132
Number 6 is 8.4 minutes 8.4*10=84
