Find N and explain how

Mathematics

1 answer:

Tom [10]2 years ago

7 0

Answer:

The value of n is 5

Step-by-step explanation:

Here, we want to get the value of n

To get this, we will need to use the appropriate trigonometric identity

As we can see, n represents the opposite as it the side that faces the angle given

m is the hypotenuse as it is the side that faces the right angle

The last side is called the adjacent

The trigonometric identity we want to use is that which connects the opposite to the adjacent

The appropriate trigonometric identity to use in this case is the tan

Thus;

Mathematically, the tan is the ratio of the opposite to the adjacent

hence;

tan 30 = n/ 5 √3

n = 5 √3 * 1/ √3

n = 5

You might be interested in

dale has a square garden. He adds a 2-foot-wide walkway around his garden. If the total area of the walkway and garden is 196 sq

dem82 [27]

Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:

1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.

The total walkway area is thus x^2 + 4(2^2) + 4(x*2).

We want to find the dimensions of the garden. To do this, we need to find the value of x.

Let's sum up the garden dimensions and the walkway dimensions:

x^2 + 4(2^2) + 4(x*2) = 196 sq ft

x^2 + 16 + 8x = 196 sq ft

x^2 + 8x - 180 = 0

(x-10(x+18) = 0

x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.

The garden dimensions are (10 feet)^2, or 100 square feet.

4 0

3 years ago

189 divided by 9941.4

vovikov84 [41]

The answer is 0.0190114068441065

4 0

3 years ago

Common Core - how many thousands are in 440,000? and explain the answer

Sedbober [7]

440 thousands. You take out the three zeros and you'll get your answer. Hope it helps! :)

6 0

2 years ago