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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 car was Skid to a half a uniform rate of -9.4 m/s ^2 squared if the measure skid marks that are 34 m long with what speed is t
babymother [125]

Answer:

vi = 25.28 m/s

Step-by-step explanation:

a = -9.4 m/s²

x = 34 m

vf = 0 m/s

vi = ?

We can apply the equation

vf² = vi² + 2*a*x

⇒     vi = √(vf² - 2*a*x)

⇒     vi = √((0 m/s)² - 2*(-9.4 m/s²)*34 m)

⇒     vi = 25.28 m/s

5 0
3 years ago
The average number of Saturday night shootings is 5 a night. What’s the chance that there will be a need for exactly 3 shootings
pishuonlain [190]

Answer:

0.14

Step-by-step explanation:

Using the poisson probability relation :

P(x = x) = (λ^x * e^-λ) ÷ x!

From the question ; mean, λ = 5 ; x = 3

Hence,

P(x = 3) = (5^3 * e^-5) ÷ 3!

P(x = 3) = (125 * 0.0067379) / 6

P(x = 3) = 0.8422375 / 6

P(x = 3) = 0.140

5 0
2 years ago
The open tray shown in the illustration is to be manufactured from a 18-by-19-inch rectangular sheet of metal by cutting squares
defon
Answer: You should cut out squares that are 4 inches by 4 inches.

One of the ways to do this problem is write and graph an equation. We can write an equation for the volume of this shape and then use a graphing calculator to graph it. If we look where the graph crosses 440, we will have our solution.

The volume needs to be 440. If we let x equal the side of the square that is cut out, we have the following dimensions.

Length = 19 - 2x
Width = 18 - 2x
Height = x

Volume = LWH

So our equation could be: y = (19 - 2x)(18 - 2x)x

If you graph that equation, it will intersect at the point (4, 440). Therefore, our square could be 4 by 4 inches.
8 0
3 years ago
Let f(x) = 5x2 – 4x and g(x) = 5x + 1.
Nastasia [14]

f(x) = 5x^2 - 4x

g(x) = 5x + 1

Therefore f - g = 5x^2 - 4x - (5x + 1)

= 5x^2 - 4x - 5x -1

= 5x^2 -9x - 1


Hope it helps :)











8 0
3 years ago
Read 2 more answers
5/8-11/20=?<br><br> Help what’s the answer I’m stuck on finding the LCM of the denominators
zhannawk [14.2K]

Answer:

3/40

Step-by-step explanation:

  • \frac{5}{8} - \frac{11}{20}
  • \frac{25}{40} - \frac{22}{40} (LCM is 40)
  • \frac{25-22}{40}
  • \frac{3}{40}

Therefore, the answer is 3/40!

4 0
2 years ago
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