1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ad-work [718]
3 years ago
10

Find the value of the variables in the simplest form

Mathematics
2 answers:
Papessa [141]3 years ago
6 0

Answer:

x = 15\sqrt{3} , y = 15

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos60° = \frac{1}{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{30} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 30\sqrt{3} ( divide both sides by 2 )

x = 15\sqrt{3}

---------------------------------------------------------

cos60° = \frac{adjacent}{hypotenuse} = \frac{y}{30} = \frac{1}{2} ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

777dan777 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

You might be interested in
Un futbolista ha metido 2/9 del número de goles marcados por su equipo y otro la
storchak [24]

Answer:

77 goles

Step-by-step explanation:

Un futbolista ha marcado 2/9 del número de goles marcados por su equipo.

Otro anotó una cuarta parte del resto.

El resto = 1 - 2/9

= 7/9

De ahí que otro futbolista anotó

= 1/4 de 7/9

= 7/36

Si los otros jugadores han marcado 45 goles

Tenemos que averiguar la fracción de goles que marcó el otro jugador

Deje que el número total de goles marcados por el equipo durante la temporada = 1

Por lo tanto:

1 - (2/9 + 7/36)

1 - (8 + 7/36)

1 - 15/36

1 - 5/12

= 7/12

¿Cuántos goles marcó el equipo a lo largo de la temporada?

El número total de goles que marcó ese equipo se calcula como:

7/12 × x = 45

Donde x = número total de goles

7x / 12 = 45

Cruz multiplicar

7x = 45 × 12

x = 45 × 12/7

x = 77,142857143

Aproximadamente = 77 goles

7 0
3 years ago
What is the derivative of 3x+5x
Vaselesa [24]

Answer:

\displaystyle \frac{d}{dx}[3x + 5x] = 8

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = 3x + 5x

<u>Step 2: Differentiate</u>

  1. Simplify:                                                                                                         \displaystyle y = 8x
  2. Derivative Property [Multiplied Constant]:                                                   \displaystyle y' = 8\frac{d}{dx}[x]
  3. Basic Power Rule:                                                                                         \displaystyle y' = 8

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0
3 years ago
What is the value of this expression when b=5?<br><br> 6(2b-4)
Taya2010 [7]
6(2(5) - 4)
6(10 - 4)
6(6)
36
4 0
3 years ago
Read 2 more answers
How do you write this in standard form 2x+3y=12
Akimi4 [234]
To get y by itself subtract 2x from both sides. The left side becomes 3y=12-2x. Then divide by 3 on both sides to get y by itself. Which you get y=4-(2/3)x

6 0
3 years ago
How many faces does the solid made from the net below have? A. 7B. 8C. 12D. 18
Kruka [31]

Answer:

B. 8

Explanation:

The figure forms a septagon.

The hexagons form the base, and the rectangles attached to them form the sides.

Therefore, in total the solid has two hexagons as sides and 6 rectangles connecting the hexagon to the base hexagon. Hence, in total the solid has

2 + 6 = 8 faces.

7 0
1 year ago
Other questions:
  • According to a​ study, one dash fifth of all rough diamonds produced in one region are blood diamonds.​ Also, 88​% of the​ regio
    8·1 answer
  • Help please help stuck
    13·2 answers
  • Please help me with this
    9·1 answer
  • Page
    11·1 answer
  • 100 pts!!!! PLEASE HELP!!!!!
    7·2 answers
  • Find the Area of the circle. Use 3.14 for π. Round your answer to the nearest tenth.
    9·2 answers
  • Can someone do the math for me (im too lazy). SO I took a test and got a 57 and my grade in that class is a 87.20. How bad is my
    8·1 answer
  • Can someone please help me with this
    5·1 answer
  • Write an algebraic expression
    10·1 answer
  • The value of <img src="https://tex.z-dn.net/?f=%5Csin%20%5E%7B-1%7D%5Cleft%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%5Cright%29-%5Csi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!