The value of the acute angle is 40°
Step-by-step explanation:
Let the angle be 'θ'
Length of the ramp = 1 m
Height = 0.643 m
To find :
The angle of elevation.
we can use sine to find the angle of elevation.
sin θ = 0.643/1
sin θ = 0.643
0.643 = sin 40°
sin θ = sin 40°
So, θ = 40°
The angle of elevation is 40°
Answer: Parallel
Step-by-step explanation:
Set your -2x+10y=5 equation equal to y
-2x+10y=5
<u> -10y -10y</u>
-2x=5-10y
<u>-5 -5 </u>
<u>-2x-5</u>+<u>-10y</u>
-10 -10 -10
-1/5x-1/2=y
Now you can put your equations into your graphing calculator and examine the lines made
(if you dont have one search up <em>online graphing calculator</em> on google or your app store)
Answer: 
Step-by-step explanation:
Number of persons said it is legal to text while driving = 8
Number of persons said it is illegal to text while driving = 804
Total persons sampled = 804+8 = 812
Since probability =
The probability of randomly selecting someone who believes it should be legal to text while driving = 
Required probability = 
Answer:
68°
Step-by-step explanation:
As BA⊥BD, so ∠ABD = 90°
also, ∠ABD = ∠CBD + ∠ABC
⇒ 90° = 4x + 52° + 8x - 10°
⇒ 12x = 48°
⇒ x = 4°
now,
∠CBD = 4x + 52°
= 4(4°) + 52°
= 68°
Answer:
B) 105.20
Step-by-step explanation:
491.60 + 157.68 - 68.44 = 581.20