Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
<h3>What is the Sine Ratio?</h3>
Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
Learn more about the sine ratio on:
brainly.com/question/2920412
#SPJ1
Where are the variables for the equation?
The number of game the softball team lose is 47 games.
<h3 /><h3 /><h3>The softball team played 149 games. </h3>
Total games played = 149 games
The team won 8 more than two times the number of games they lost.
Let
the number of games they lost = x
Therefore,
- number of game won = 8 + 2x
The number of game they lose can be calculated as follows:
8 + 2x + x = 149
8 + 3x = 149
3x = 149 - 8
3x = 141
x = 141 / 3
x = 47
Therefore, the team lost 47 games.
learn more on algebra here: brainly.com/question/14406047?referrer=searchResults
A manufacturer<span> of </span>medical supplies produces 1 liter bags<span> of </span>saline solution. thecost<span> to </span>produce x thousand bags<span> of </span>saline<span> is </span>given<span> by the </span>cost<span> func. ... thousand </span>bags<span> of </span>saline<span> is</span>given<span> by the </span>cost function<span> C(x)=1.7x^2-5.3x+3.2, ...</span>
Answer:
7 sqrt(3) =x
Step-by-step explanation:
We know that sin 60 = opposite / hypotenuse
sin 60 = x/14
Multiply both sides by 14
14 sin 60 = x
14 * (sqrt(3)/2) =x
7 sqrt(3) =x
