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WITCHER [35]
3 years ago
13

Can someone please explain this trigonometry question? uses sin/cos/tan

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Right triangle

hypotenuse = 24

Opposite side = 15

Adjacent side = ?

Process

1.- Calculate the adjacent side using the Pythagorean theorem.

          hypotenuse² = opposite side² + adjacent side²

-Solve for adjacent side

          Adjacent side² = hypotenuse² - opposite side²

-Substitution

           Adjacent side² = 24² - 15²

-Simplification

           Adjacent side² = 576 - 225

           Adjacent side = 351

-Result

           Adjacent side = 18.73°

2.- Find the value of x°

a) Using sin x

              sinx = Opposite side/Hypotenuse = 15/24 = 0.625

                  x = 38.68°

b) Using cos x

              cos x = Adjacent side/Hypotenuse = 18.73/24 = 0.78

              cos x = 38.68°

c) Using tan x

              tanx = Opposite side / Hypotenuse = 15/18.73 = 0.80

             tan x = 38.68°  

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The greater of two consecutive even integers is 20 more than twice the smaller. find the integers
Sliva [168]

9514 1404 393

Answer:

  -19, -18

Step-by-step explanation:

Let x represent the smaller integer. Then the larger is x+1 and their relationship is ...

  x +1 = 20 + 2x

  -19 = x . . . . . . . . . subtract x+20 from both sides.

The smaller integer is -19; the larger is -18.

4 0
2 years ago
The sum of the first four terms of an arithmetic sequence is $10$. If the fifth term is $5$, what is the sixth term?
Nookie1986 [14]

The sixth term of an arithmetic sequence is 6

<h3>How to find arithmetic sequence?</h3>

The sum of the first four terms of an arithmetic sequence is 10.

The fifth term is 5.

Therefore,

sum of term = n / 2(2a + (n - 1)d)

where

  • a = first term
  • d = common difference
  • n = number of terms

Therefore,

n = 4

10 = 4 / 2 (2a + 3d)

10 = 2(2a + 3d)

10 = 4a + 6d

4a + 6d = 10

a + 4d = 5

4a + 6d = 10

4a + 16d = 20

10d = 10

d = 1

a + 4(1) = 5

a = 1

Therefore,

6th term = a + 5d

6th term = 1 + 5(1)

6th term = 6

learn more on sequence here: brainly.com/question/24128922

#SPJ1

7 0
1 year ago
Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?
nadezda [96]

Given:

(3x+7)^2 is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when (3x+7)^2 is subtracted from 3.

So, the resulted polynomial can be written as:

P(x)=3-(3x+7)^2

On simplification, we get

P(x)=3-((3x)^2+2(3x)(7)+(7)^2)               [\because (a+b)^2=a^2+2ab+b^2]

P(x)=3-(9x^2+42x+49)

P(x)=3-9x^2-42x-49

P(x)=-9x^2-42x-46

Therefore, the resulted polynomial in standard form is -9x^2-42x-46.

7 0
2 years ago
What’s the answer for 5 1/5 —3 3/5=
Sindrei [870]

Answer:

8/5 or 1.6

Step-by-step explanation:

4 0
3 years ago
Which angles are corresponding angles?<br>Check all that apply.​
bekas [8.4K]

Answer: Options 'A', 'C' and 'F' are correct.

Step-by-step explanation:

Since we have given that

Corresponding angles are those angles which takes the same corresponding position at intersection when a transversal cut the two parallel lines.

so, According to this , we get that

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

so, Options 'A', 'C' and 'F' are correct.

3 0
2 years ago
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