The value of x will be equal to 4√6. The correct option is B.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The value of side x will be calculated by using the angle properties.
SIn( 45 ) = P / H
Sin (45) = 12 / H
H = 12 / ( 1 / √2) = 12√2
Again using the angle property for finding the value of x.
tan30 = P / B
x = tan30 x B
x = ( 1 / √3 ) x 12√2
x = 4√6
Therefore, the value of x will be equal to 4√6. The correct option is B.
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Answer:
The account statement had an ending balance of $153
Step-by-step explanation:
Check register actual balance= $256
Less; Written check= -$312
The account is short; $256-$312= -$56
Add the new deposit =-$56+$250= $194
Therefore , new account balance= $194
Subtract fees($8 & $33) from the balance= $194- $8- $33=$153
The account statement had an ending balance of $153
need more details to answer please post the question with more details
Lets label hot dogs as 'h' and soft drinks as 'd'
6h + 4d = 13
3h + 4d = 8.50
We can solve by process of elimination.
Subtract the first equation from the second one.
We get:
3h = 4.5
Solve for h
<span>h = 1.5 </span>
<span>That means that the hot dog costs $1.50 which is answer choice </span>D.
<span>Hope that helps :)</span>
5X -3X > 4
2X > 4
X > 2
the only viable answer is D