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AnnZ [28]
3 years ago
15

Find part "b". =_4____

Mathematics
2 answers:
harina [27]3 years ago
6 0

Answer:

11.25

Step-by-step explanation:

Mamont248 [21]3 years ago
4 0

Value of b is 11.25

<u>Step-by-step explanation:</u>

Step 1:

Use the trigonometric ratio sine to find z.

⇒ sin 60° = opposite side/hypotenuse = z/15

∴ z = 15 sin 60° = 15√3/2

Step 2:

Use the trigonometric ratio sine to find y.

⇒ sin 30° = opposite side/hypotenuse = y/z

∴ y = z sin 30° = 15√3/2 × 1/2 = 15√3/4

Step 3:

Use Pythagoras theorem to find value of b.

⇒ y² + b² = z²

⇒ b² = z² - y² = (15√3/2)² - (15√3/4)²

                      = (15 × 15 × 3/4) - (15 × 15 × 3/4²)

                      = 15²×3/4 [1 - 1/4]   (taking common factor out)

                      = 15² × 3/4 × 3/4 = 15² × 3²/4²

∴ b = √15² × 3²/4² = 15 × 3/4

     = 45/4 = 11.25

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Write this in standard form y+2=-3/4(x+1) that -3/4 is a fraction plz show work!!
pentagon [3]
Y+2=-3/4(x+1)
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y = -3x/4 - 3/4 - 8/4
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Studentka2010 [4]

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8 0
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 What are the similarities and differences between the standard form and vertex form of a quadratic equation?
aniked [119]

Step-by-step explanation:

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6 0
2 years ago
Given the Arithmetic sequence A1,A2,A3,A4 53, 62, 71, 80 What is the value of A38?
Murrr4er [49]

Answer:

A_{38}  = 350

Step-by-step explanation:

The 5th term of the arithmetic sequence is 53. We can write the equation:

a + 4d = 53...(1)

The 6th term of the arithmetic sequence is 62. We can write the equation:

a + 5d = 62...(2)

Subtract the first equation from the second one to get:

5d - 4d = 62 - 53

d = 9

The first term is

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a = 17

The 38th term of the sequence is given by:

A_{38} = a + 37d

A_{38}  = 17+ 37(9)

A_{38}  = 350

3 0
3 years ago
Read 2 more answers
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