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Dmitry [639]
3 years ago
12

PLEASE HELP!!!

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0

Y = 20

X = 70

We know Y is 20 because both triangles are the same size. 20 is in the opposite corner to Y. The right corner is 90 degrees. There are 180 degrees in a triangle. To get your answer you are going to add 20 and 90 to get 110 then you will subtract 110 from 180.

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The coordinates of the point Care (6,5) and the coordinates of point D are
Komok [63]

Answer:.........

Step-by-step explanation:

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2 years ago
How do you add a decimal
fiasKO [112]
When adding decimals always line them up 
for example:    5.23
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7 0
2 years ago
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What is the length of x in the diagram below?
luda_lava [24]

Answer:

That is a 45-45-90 triangle next to a 30-60-90 triangle.  

So, the height of the left triangle equals 5.

That makes the short side of the 30-60-90 triangle also equal to 5.

In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.

Therefore, the hypotenuse (or "x") equals 10.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​
Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

  • sine (sin) = opposite/hypotenuse
  • cosine (cos) = adjacent/hypotenuse
  • tangent (tan) = opposite/adjacent
  • cosecant (cosec/csc) = hypotenuse/opposite
  • secant (sec) = hypotenuse/adjacent
  • cotangent (cot) = adjacent/opposite
  • cosecant is the reciprocal of sine
  • secant is the reciprocal of cosine
  • cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

  • Trigonometric Ratio
  • Adjacent = 12
  • Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

  • a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

  • 10²+12² = c²
  • 100+144 = c²
  • 244 = c²

Thus, the hypotenuse is:

\large \boxed{c = 2 \sqrt{61} }

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

  • cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = <u>(6√61) / 61</u>
  • sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = <u>(5√61) / 61</u>
  • cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = <u>√61/5</u>
  • secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = <u>√</u><u>61</u><u>/</u><u>6</u>

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0
3 years ago
Five years ago I was 5 times older than my son. In 8 years’ time I will be 3 times older than my son. How old am I today?
o-na [289]

Let x = Parent's age now  y = son's age now

Then, x-5 = parent's age five years ago

        y-5 = son's age five years ago

     So, x-5 = 5(y-5)

          Simplify to get x - 5y = -20

Parent's age 8 years from now = x+8

Son's age 8 years from now = y+8

    So, x+8 = 3(y+8)

           Simplifying, we have x - 3y = 16

We have the system of equations:  x - 5y = -20

                                                  x - 3y = 16

Subtract the equations to obtain -2y = -36

                                                  y = 18

                                                  x = 70

Parent is 70 years old and the son is 18 years old.  

6 0
3 years ago
Read 2 more answers
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