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zzz [600]
2 years ago
5

If sine of the quantity x plus y end quantity equals one half times sine of x plus radical 3 over 2 times cosine of x. What is t

he value of y?
A. pi over 2

B. pi over 3

C. pi over 4

D. pi over 6

Mathematics
1 answer:
miskamm [114]2 years ago
8 0

The value of y from the given trig expression is pi/3 rad

<h3>Trigonometry identity</h3>

These identities are expressed in terms of sine, cosine and tangent

Given the expression

sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx


Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

Learn more on trig function here: brainly.com/question/24349828

#SPJ1

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A barn silo, excluding the top, is a cylinder. The silo is 7 m in
Elenna [48]

The volume of the silo is 461.81 m³

Step-by-step explanation:

A barn silo, excluding the top, is a cylinder

  • The silo is 7 m in  diameter
  • Its height is 12 m

We need to find the volume of the silo

∵ The silo is shaped a cylinder

∵ The volume of a cylinder = base area × height

∵ The base is shaped a circle

∵ Area a circle = π r², where r is the radius of the circle

∴ The volume of the silo = π r² × h

∵ The diameter of the silo = 7 m

∵ The radius of a circle is half the diameter

∴ The radius of the silo = \frac{1}{2} × 7 = 3.5 m

∵ The height of the silo = 12 m

- Substitute the values of r and h in the rule of volume

∴ The volume of the silo = π (3.5)² × 12

∴ The volume of the silo = 147 π = 461.81 m³

The volume of the silo is 461.81 m³

Learn more:

You can learn more about the volume in brainly.com/question/6443737

#LearnwithBrainly

7 0
3 years ago
The equation represents the proportional
zloy xaker [14]

Answer:

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5 0
3 years ago
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Answer:

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7 0
2 years ago
?!!! I need help please
saveliy_v [14]

The answer is a, -40 + 7 = -33

5 0
2 years ago
Solve the equation 3x=5(x+3)-3
netineya [11]
3x = 5(x + 3) - 3    |use distributive property: a(b + c) = ab + ac

3x = 5x + 15 - 3

3x = 5x + 12    |subtract 5x from both sides

-2x = 12    |divide both sides by (-2)

x = -6
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3 years ago
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