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.
The answer is: x = -7
Work:
Step 1: Subtract 5 from both sides.
<span><span><span><span><span>3/5</span>x</span>+5</span>−5</span>=<span><span>4/5</span>−5
</span></span><span><span><span>3/5</span>x</span>=<span><span>−21/</span>5
</span></span>Step 2: Multiply both sides by 5/3.
<span><span><span>(<span>5/3</span>)</span>*<span>(<span><span>3/5</span>x</span>)</span></span>=<span><span>(<span>5/3</span>)</span>*<span>(<span><span>−21/</span>5</span>)
</span></span></span><span>x=<span>−7
</span></span>
Answer:
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.
let's begin to solve this equation,,,
<h3>MORE BASIC INFORMATION </h3>
an equation having the maximum power of the variable equal to is called the quadratic equation the general form of quadratic equation is ax² + bx +c =0 where a,b,c are real numbers a ≠0 x is variable •
a quadratic equation can be solved by two method by factorization and by formula
by factorization a quadratic equation can be solved by factorization only when the product AC can be divided into two such part that it had the sum of the difference of the two part is equal to b
Answer:
The length side of the pre-image is 16 units
Step-by-step explanation:
we know that
The length side of the image is equal to the length side of the pre-image multiplied by the scale factor
or
The length side of the pre-image is equal to the length side of the image divided by the scale factor
in this problem we have that
The scale factor is 1/2
The length side of the image is 8 units
therefore
8/(1/2)=16 units
The length side of the pre-image is 16 units