Sin ø = opposite/hypotenuse = 2/3, cos ø = adjacent/hypotenuse = ?/3, tan ø = opposite/adjacent = 2/?, sec ø = 1/cos ø

to solve ?, Pythagorean theorem must be applied
hypotenuse^2 = adjacent^2 + opposite^2

Manipulating the equation to find the adjacent value = ?

adjacent = sqrt(hypotenuse^2 - opposite^2) = sqrt(9-4)
adjacent = sqrt(5)

so cos ø = sqrt(5)/3, tan ø = 2/sqrt(5) and sec <span>ø = 3/sqrt(5) since the value is positive the possible equivalent trigonometric function should be positive, the answer should be b </span>

3 0

3 years ago

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You are a contractor who is installing a new wooden fence for a customer. The dimensions of the fence are 20 feet long and 6 fee

ahrayia [7]

Answer:

$132

Step-by-step explanation:

First we need to find the total number of woods required. This would be total area of fence divided by area of each wood. Remember to convert inch into feet.

$\frac{area of fence}{area of wood} \\=\frac{20 * 6}{6 * 0.3333} \\= 60 woods plank$

Now we know the total number of planks, we need to find what is the cost of each plank. We know that one wood plank area is 2 sq. ft ( 6*0.33333). Therefore, the cost of each plank is = cost per area(sq.ft) multiply by total area (sq. ft).

cost per plank = 2 * $1.10 =$2.20.

We have total planks = 60 units and we have cost per plank = $2.20.

So, we can find total cost as 60*2.20= $132

7 0

4 years ago