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BartSMP [9]
3 years ago
14

Help please with question 5-8, show the solution

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

For each of these problems, remember SOH-CAH-TOA.

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.

6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.

7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.

8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.

Hope this helps!

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vitfil [10]

Answer:

  • Trinomials in the form x^2+bx+c can often be factored as the product of two binomials.

Step-by-step explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

ax^2+bx+c

As

a = 1

so

x^2+bx+c

  • Trinomials in the form x^2+bx+c can often be factored as the product of two binomials.

For example,

x^2+7x+10

=\left(x^2+2x\right)+\left(5x+10\right)

=x\left(x+2\right)+5\left(x+2\right)

\mathrm{Factor\:out\:common\:term\:}x+2

=\left(x+2\right)\left(x+5\right)

Therefore, Trinomials in the form x^2+bx+c can often be factored as the product of two binomials.

6 0
2 years ago
HELP PLEASE!! TON OF POINTS. RIGHT ANSWERS ONLY REWARDED. MATH GENIUSES?
Nonamiya [84]

Answer:

The graph is shifted 1 unit right

The graph is shifted 2 units down

Step-by-step explanation:

We are given

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f(x)=2^{x+3}-3

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we can also write as

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We can see that

1 is subtracted to x-value

and 2 is added to y-value

So, f(x) is shifted right by 1 unit

and

f(x) is shifted up by 2 unit


3 0
3 years ago
Can someone help pls? its a timed quiz lol<br> ty if you do help :)
xenn [34]

Answer:

336

Step-by-step explanation:

not completely sure but I'm pretty sure its 336

4 0
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Step-by-step explanation:

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Answer:

P(w) = 9w+5

Step-by-step explanation:

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