All categories

2 years ago

Trigonometry PLEASE HELP

Mathematics

1 answer:

Natalija [7]2 years ago

6 0

Answer:

x = 13.7

Step-by-step explanation:

The side marked 22 is a leg of the right triangle. The side marked x is also a leg of the right triangle. The angle marked 58° is right next to the side marked x. It is ADJACENT to the angle. The 22 side is OPPOSITE from the angle. The trig ratio that puts together the ADJACENT side and the OPPOSITE side is the tangent.

tan Angle= OPP/ADJ

tan 58° = 22/x

Times both sides by x

xtan58° = 22

Divide by tan58°

x = 22/tan58°

at this point you need need a calculator. There will be a button "tan" enter tan 58° and hit enter. Make sure your calculator is in degree mode. There will probably be a "deg" on the screen or in the info if you hit a "mode" button (its like settings)

divide 22 ÷ (tan58°)

use parentheses.

x = 13.7

You might be interested in

We want to find the zeros of this polynomial:

fredd [130]

Answer:

x = -3 and x = -3/2

Step-by-step explanation:

After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:

p(x) = 2x^3 + 3x^2 - 18x -27

p(x) = x^2(2x+3) -9(2x+3)

Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:

p(x) = (x^2 - 9)(2x+3)

Factor it once more because there's a difference of squares:

p(x) = (x+3)(x-3)(2x+3)

Now just plug in whatever makes the each bracket equal 0:

x = -3, x = 3, and x = -3/2

Those are your zeros.

8 0

3 years ago

Do the political leanings of a network affect the news they report? During the the 2018-2019 Government shutdown, a left-leaning

daser333 [38]

Answer:

504

Step-by-step explanation:

We are solving for the left leaning poll

Total voters = 900 + 1100

= 2000

Number of voters who say trump was responsible = 56percent x 2000

= 1120

Number of those who say otherwise = 44% x 2000

= 880

For this network

Those who say trump is responsible = 1120 x900/2000

= 1008000/2000

= 504 registered voters

6 0

3 years ago

What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9

skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let $u^2=x^4\\u = x^2$

Subbing in:

$9u^2-2u-7=0$

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

$9u^2-9u+7u-7=0$

Group together in groups of 2:

$(9u^2-9u)+(7u-7)=0$

Now factor out what's common within each set of parenthesis:

$9u(u-1)+7(u-1)=0$

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

$(u-1)(9u+7)=0$

Remember that $u=x^2$

so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

$(x^2-1)(9x^2+7)=0$

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring $(x^2-1)$ gives us that x = 1 and -1. The other set is a bit more tricky. If