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
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

You might be interested in
Betty is baking a cake that
Irina18 [472]

Answer:

She has 3/8 of a cup

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which is the correct word form of 8.16
Aleksandr-060686 [28]

The <u>correct word form of 8.16</u> is b. eight and sixteen hundredths

Since the number is 8.16, we have 8.16 = 8 + 0.16 = 8 + 16/100

Since we have 8 in the units place, it is pronounced eight.

Also, we have our decimal part 0.16 = 16/100 which is pronounced as sixteen hundredths.

So, combining both we have eight and sixteen hundredths.

So, the <u>correct word form of 8.16</u> is b. eight and sixteen hundredths

Learn more about decimals here:

brainly.com/question/8829988

7 0
3 years ago
A jeweler has 5 rings, each weighing 18 g, made of an alloy of 10% silver and 90% gold. she decides to melt down the rings and a
ankoles [38]
Silver = 10%
Gold = 90%

Amount of gold to be deducted
90/100 × 18 = 16.2 g

75/100 × 18 = 13.5

16.2 - 13.5 = 2.7

Amount o silver to added.
  2.7 × 5 = 13.5


Answer = 13.5 g

7 0
3 years ago
Please answer this question
scZoUnD [109]

Domain in numerical order: {-7, -1, 0, 1}

Range in numerical order: {-1, 0, 1, 2, 7}

Which number is not part of the range of this relation? = -7

Hope this helps!

7 0
3 years ago
Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1, 5).
Vlada [557]

The "standard" parabola with roots 0 and 2 is

y = (x-0)(x-2) = x^2-2x

All multiples of this parabola, i.e.

y=a(x^2-2x)

have the same roots. We can choose the factor such that the parabola passes through the desided point: if we plug 1, 5 for x, y we have

5 = a(1-2) \iff -a=5 \iff a=-5

So, our claim is that the parabola

y=-5(x^2-2x) = -5x^2+10x

has roots 0 and 2 and vertex at (1, 5).

You can easily verify this: the roots are guaranteed by the fact that we can write the equation as

y = -5x(x-2)

The vertex must be at x=1, because it's the midpoint of the roots. Moreover, if we evaluate the function at x=1 we have

y(1) = -5\cdot 1 \cdot (1-2) = -5 \cdot 1 \cdot (-1) = 5

as required.

8 0
4 years ago
Other questions:
  • #9 - The Question
    6·1 answer
  • Is 2 yards greater than 5 feet?
    6·1 answer
  • If the volume of a rectangular pyramid is 150 inches cubes ,what is the volume of a prism with the same demensions
    5·1 answer
  • What is the answer to this
    14·2 answers
  • Simplify:
    6·2 answers
  • Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an i
    7·1 answer
  • Which two-dimensional shapes are needed to build the triangular prism
    9·1 answer
  • How to do this step by step?
    15·1 answer
  • *PLEASE HELP* I NEED TO FINISH THIS IN 30 MINUTES (I’ll give brainlist)
    11·2 answers
  • Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the wi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!