Answer:
62.73° or 1.09 radians
Step-by-step explanation:
SOH CAH TOA
sin =
, so sin (?) = 
this means that ? =
or ? = arcsin(
), depending on what calculator you have
plugging in
or arcsin(
) into calculator will get you
62.73° or 1.09 radians
use the corresponding answer depending on if the question asks for degrees or radians
There are two methods to solve this problem. One of them is the typical method and the other one is the short-cut. I will explain the shortcut
Short-cut:
This method is quick and easy, and works with ALL triangles, which is why I suggest you use this. You make proportions. Since the triangles are similar, we can use CPCTC. Thereafter,

Now, you just need to identify the terms, substitute, and solve for the unknown, which would be k.

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So we found k, but it is asking for BE. Therefore, plug in the value of k, which is 11, into the expression for BE, which is k-7.
BE=K-7
k=11
BE=11-7
BE=4
Your answer is 4.
Answer:
Dave:
$20 + 8% of 20 = $21.6
Dave payed a total of $21.6 for the basketball.
Mel
$28 + 8% of 28 = $30.2
Mel payed a total of $30.2 for the football.
$30.2 - $21.6 = $8.6
The difference is $8.6.
Answer:
A. m(arc BC) = 16°
B. m(arc BAC) = 344°
Step-by-step explanation:
From the picture attached,
AB is the diameter of the circle.
Since, measure of an arc is always same as the central angle of arc.
Therefore, m(arc AC) = m(∠ADC) = 164°
m(arc AB) = 180°
m(arc BC) = 360° - m(arc AB) + m(arc AC)
= 360° - (180° + 164°)
= 360° - 344°
= 16°
m(arc BAC) = m(arc AB) + m(arc AC)
= 180° + 164°
= 344°
Answer:
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Step-by-step explanation: