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Morgarella [4.7K]
2 years ago
13

PYTHAGORAS work out the side of b. give your answers to one decimal place

Mathematics
1 answer:
Contact [7]2 years ago
6 0

Answer:

12 cm

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>a</em> = 12 cm

<em>c</em> = 17 cm

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            12² + b² = 17²
  2. Evaluate exponents:                                                                                         144 + b² = 289
  3. [Subtraction Property of Equality] Subtract 144 on both sides:                     b² = 145
  4. [Equality Property] Square root both sides:                                                      b = √145
  5. [√Radical] Evaluate:                                                                                         b = 12.0416
  6. Round:                                                                                                               b ≈ 12.0
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Find the volume. Help asap. Please.
alexgriva [62]

Use the Pythagorean theorem to find the diameter:

Diameter = √(19.3^2 - 9.5^2)

Diameter = √(372.49 - 90.25)

Diameter = √282.24

Diameter = 16.8 m

Volume of a cylinder = PI x r^2 x h

r = 1/2 diameter = 16.8 /2 = 8.4

h = 9.5 m

Volume = PI x 8.4^2 x 9.5

= PI x 70.56 x 9.5

= PI x 670.32

In terms of PI volume = 670.32PI

As a decimal:

670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)

5 0
3 years ago
Read 2 more answers
there are 104 red candies in a candy machine. this represents 26% of the candy in the machine. how many total are in the candy m
Alborosie

There are 400 candies in the machine.

Step-by-step explanation:

Given,

Number of red candies in machine = 104

This represents 26% of the total candies.

Let,

x be the total candies in the machine.

According to statement;

26% of x = 104

\frac{26}{100}*x=104\\0.26x=104

Dividing both sides by 0.26

\frac{0.26x}{0.26}=\frac{104}{0.26}\\x=400

There are 400 candies in the machine.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/317697
  • brainly.com/question/317616

#LearnwithBrainly

6 0
3 years ago
Identify this sequence: 5, 15, 45, 135, …<br> Arithmetic<br> Geometric<br> Neither
user100 [1]

Answer:

5 * 2 is 10 + 5 and then 15 * 2 + 15 45 * 2 + 45

Step-by-step explanation:

times it by to add that number

3 0
3 years ago
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David is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual b
Ainat [17]

Answer:

Cost of each individual book = $10.5

Step-by-step explanation:

Given:

Cost of 3 book set = $24.81

Amount save = $6.69

Find:

Cost of each individual book

Computation:

Assume:

Cost of each individual book = a

Total cost = 3a

So,

Total cost = $24.81 + $6.69

Total cost = $31.5

So,

3a = $31.5

a = $10.5

Cost of each individual book = $10.5

4 0
2 years ago
Lydia drives from city a to city b to transport goods. her return speed is 3 times her departure speed and she takes 40 minutes
gizmo_the_mogwai [7]

Answer:

1 hour

Step-by-step explanation:

Hello, let's say that her departure trip takes t in minutes, as her return speed is 3 times her departure speed, she took t/3 for the return and we know that this 40 minutes less, so we can write.

t/3=t-40

We can multiply by 3

t = 3t -40*3 = 3t - 120

This is equivalent to

3t -120 = t

We subtract t

2t-120 = 0

2t = 120

We divide by 2

t = 120/2 = 60

So this is 60 minutes = 1 hour.

Thank you.

4 0
3 years ago
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