Hello :
<span>–0.5x ≥ 4...(1)
multip by -2 : x </span><span>≤ -8
</span><span>number line represents the solution is :
</span>-∞ـــــــــــــــــــــــــــــــــــــ[8-ــــــــــــــــــــــــــــــــــــ> +∞
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:
17) c
18) a) 19
19) i dont know sorry
Step-by-step explanation:
the first two i can solve, the first one i simply put in a calculator and observed that it did not pass the vertical line test, so it is now a function. the second one all you have to do is sub in -3 for x so the equation reads |-(-3)^3-8| which equal 19, sorry i couldnt help on 19
Recall that the sum of all 3 angles of a triangle is 180. So,
82 + 45 + x = 180>> 127 + x = 180
>> x = 180 - 127
>> x = 53 (final answer)
Answer:
Step-by-step explanation: