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:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = 
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
Answer:
angle B = 33.42
Step-by-step explanation:
take angle B as reference angle
using tan rule
tan B = opposite/adjacent
tan B = 6/9
tan B = 0.66
B = 
B = 33.424
B = 33.42
Answer:
m ≤ -15
Step-by-step explanation:
You can convert m into positive by multiplying -1 on both sides of the equation. This would also result to a -15.
Note that when an unknown variable changes its sign, the symbol becomes the opposite version of itself.
So,
-m ≥ 15
-m(-1) ≥ 15(-1)
m ≤ -15
Answer:
The constant of variation is 5 (B)
Step-by-step explanation:
if R varies directly with S
R ∝ S
R =kS
k = constant of variation
when S is 16 R is 80
80 =16k
k=5
