Answer
Step-by-step explanation:
Law of sines: SinB/15 = SinA/BC
B = 90
A = 180-90-21=69°
BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m
Answer:
equal to 4
Step-by-step explanation:
..................
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
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Answer: y = -x + 5
Step-by-step explanation:
A slope-intercept equation is in the form y = <em>m</em>x + <em>b</em> where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept. Since we are given the slope, we will plug it in with the point they gave us, and solve for <em>b</em>.
y = <em>m</em>x + <em>b</em>
(1) = (-1)(4) + <em>b</em>
1 = -4 + b
5 = b
Lastly, we will write our equation by substituting <em>m</em> with -1 and <em>b</em> with 5.
y = <em>m</em>x + <em>b</em>
y = -1x + 5 or y = -x + 5
<em> Read more about </em><em>slope-intercept equations</em><em> here:</em>
<em>brainly.com/question/27497166</em>
Answer:
14/15
Step-by-step explanation: