Answer:
The length of the rope between the boat and the dock is of 30 feet.
Step-by-step explanation:
Given:
tan(40) ≈ 0.839
Angle of depression = 40 (deg)
Distance between boat and the floor of the ocean = 25.17 feet
If we look into the diagram we can see that,they form 2 right angled triangle.
Where we can say that :
Distance between boat and dock = Rope's distance = Base of the triangle.
Let the length of the rope be 'x' feet.
Considering the dotted triangle:
⇒
⇒
⇒
⇒
⇒
⇒
Length of the rope between the boat and the dock is 'x' = 30 feet.
Answer:
true
Step-by-step explanation:
Answer:
y = (4/5)x - 3
Step-by-step explanation:
slope intercept form: y = mx + b
Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:
4x - 5y = 15
4x (-4x) - 5y = 15 (-4x)
-5y = -4x + 15
Next, divide -5 from both sides:
(-5y)/-5 = (-4x + 15)/-5
y = (-4x + 15)/-5
Simplify Divide -5 from all terms within the parenthesis:
y = (4/5)x - 3
y = (4/5)x - 3 is your answer.
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Answer:
356.93sq. cm
Step-by-step explanation:
Area of the composite figure = Area of rectangle + Area of semicircle
Area of rectangle = length * wiidth
Area of rectangle = 14cm * 20cm
Area of rectangle = 280 sq. cm
Area of semicircle = πr²/2
Area of semicircle = 3.14(7²)/2
Area of semicircle = 3.14 * 49/2
Area of semicircle = 76.93 sq. cm
Hence the area of the figure = 280 + 76.93
Hence the area of the figure = 356.93sq. cm
Answer: 1/5
Step-by-step explanation: