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AysviL [449]
2 years ago
12

Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret messa

ge by matching the answer with the corresponding letter/symbol from the exercises.

Mathematics
1 answer:
Zarrin [17]2 years ago
5 0

The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

Learn more about Trigonometric functions:

brainly.com/question/6904750

#SPJ1

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write an expression that represents the number of square feet of wallpaper you will need if the height of the family room is x f
elena-14-01-66 [18.8K]
<h3>Given</h3>
  • room height is x feet
  • room length is 3x feet
  • room width is 3x feet
  • a door 3 ft wide by 7 ft tall
<h3>Find</h3>
  • The net area of the wall, excluding the door
<h3>Solution</h3>

The area of the wall, including the door, is the room perimeter multiplied by the height of the room. The room perimeter is the sum of the lengths of the four walls.

... gross wall area = (3x +3x +3x +3x)·x = 12x²

The area of the door is the product of its height and width.

... door area = (7 t)×(3 ft) = 21 ft²

Then the net wall area, exclusive of the door is ...

... net wall area = gross wall area - door area

... net wall area = 12x² -21 . . . . square feet

5 0
3 years ago
Isabella drove 600 m and Mia drove 300 more meters than Isabella. If David drove 8.5 km, how much further did David drive in met
Y_Kistochka [10]
Isabella drove 600m.
Mia drove 300 more than Isabella=(600+300)m
=900m.
David drove=8.5km=8500m
Therefore, Distance David drove in meters combined of both distances of Mia and Isabella =[8500-(600+900)]m
=(8500-1500)
=7000 meters or 7 km.

Read more on Brainly.in - https://brainly.in/question/2571692#readmore
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3 years ago
Ayooo guys SOMEONE TELL ME WHAT IS THE AWNSER ?
Luden [163]

Answer:

60.......

Explanation:

7 0
2 years ago
Please help me with this question.
Inessa [10]

Answer:

B

Step-by-step explanation:

The SA of a cone is A=pi*r^2+pi*r*s

So instead of pi*5^2, it should be pi*3*5 (5 is the length of the slant).

5 0
3 years ago
Read 2 more answers
Short Response To earn a varsity letter on the baseball team, you must play in 60% of the games. Derek played in 11 out of 18 ba
Alla [95]

Answer:

Yes, he earned a Varsity letter because he played in 61% of the games.

Step-by-step explanation:

To know the percent of games he played out of the total, we can do it by dividing the games he played by the total of games and multiply this by 100% to get the percent of games he played:

\frac{11}{18}*100%

We solve:

0.611111*100% = 61.11%

So we know that he earned a letter because he played in 61.11% of the games, more than he needed.

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