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likoan [24]
2 years ago
5

I would really appreciate it if someone helped answer these 4 questions. I will rate 5 stars. Thank you (:

Mathematics
1 answer:
ELEN [110]2 years ago
6 0

Answer:

7. 13.6

8. 19.5

9. 6.5

10. 12.6

Step-by-step explanation:

Recall the three main trig functions

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

( remember hypotenuse = longest side length , opposite = side length opposite of angle , and adjacent = side length thats not the opposite or hypotenuse )

We will use these to solve each problem

7.

We are given :

  • An angle with a measure of 39 degrees
  • The angles opposite side length
  • The adjacent side as the unknown

When dealing with opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in opp = 11 and adj = x as well as given angle 39

tan(39) = 11/x

==> multiply both sides by x

xtan(39) = 11

divide both sides by tan(39)

x = 11/tan(39)

plugging this into a calculator , we get x = 13.6 ( rounded )

8.

We are given :

  • an angle with a measure of 46 degrees
  • the hypotenuse which has a length of 28
  • and the adjacent as the unknown

When dealing with adjacent and hypotenuse we use cos

We have cos = adj / hyp

==> plug in given angle 46 , adj = x and hyp = 28

cos(46) = x/28

==> multiply both sides by 28

x = 28cos(46)

plugging this into a calculator we get  x = 19.5 ( rounded )

9.

We are given :

  • an angle with a measure of 51 degrees
  • its opposite side length with a length of 8
  • the adjacent side length as the unknown

When dealing with the opposite and adjacent we use tangent

We have tan = opp / adj

==> plug in 51 degrees for angle , opp = 8 and adj = x

tan(51) = 8/x

==> multiply both sides by x

xtan(51) = 8

==> divide both sides by tan(51)

x=8/tan51

plugging this into a calculator we get that x = 6.5 ( rounded )

10.

We are given:

  • an angle with a measure of 24 degrees
  • the hypotenuse which has a length of 31
  • the side length opposite of given angle as the unknown

When dealing with the opposite and hypotenuse we use sine

We have sin = opp / hyp

==> plug in angle as 24 , opp = x and hyp = 31

sin(24) = x / 31

==> multiply both sides by 31

31sin(24) = x

plugging this into a calculator we get that x = 12.6 ( rounded )

And we are done!

Let me know if you have any doubts in the comments ! : )

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</span></span></span></span>Answer:<span>=<span>−<span>8<span>x</span></span></span></span>
8 0
3 years ago
AACB ~AEFD<br> x = [?]<br> Enter your answer in decimal form.
tia_tia [17]

Answer:

<h2>11.4</h2>

Solution,

∆ ACB = ∆ EFD

finding the value of X,

\frac{x}{3.8}  =  \frac{15}{5}

Apply cross product property

x \times 5 = 15 \times 3.8

Calculate the product

5x = 57

Divide both sides by 5

\frac{5x}{5}  =  \frac{57}{5}

Calculate

x = 11.4

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
Q={1,3,6,9,10,15} then rewrite in set builder method
AfilCa [17]

Answer:

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4 0
2 years ago
-4(4y-10)+3(2y+8) simplify the expression
vagabundo [1.1K]

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  2y + 8  =   2 • (y + 4)  

Equation at the end of step  2  :

 (0 -  (4 • (4y - 10))) +  6 • (y + 4)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  4y - 10  =   2 • (2y - 5)  

Equation at the end of step  4  :

 (0 -  8 • (2y - 5)) +  6 • (y + 4)

Step  5  :

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  64 - 10y  =   -2 • (5y - 32)  

Final result :

 -2 • (5y - 32)

7 0
3 years ago
WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...
enot [183]

Answer:

-450

Step-by-step explanation:

Say the first number is x to get the idea.

The first 150 terms are 150x - 5 * 150

15x - 750

300 - 750 = -450

7 0
3 years ago
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