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3 years ago

What is the volume of a cylinder with

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

Answer:

V = 785 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify variables.

r = 5 cm

h = 10 cm

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]: V = (3.14)(5 cm)²(10 cm)
[Order of Operations] Evaluate: V = 785 cm³

You might be interested in

Helpp!!Angles, degrees and, radians

MAXImum [283]

Answer:

co-terminal
reference
90°, 105°
2π, 7π/4

Step-by-step explanation:

For an explanation of vocabulary questions, consult a dictionary or vocabulary list

1) angles ending in the same place are "co-terminal."

2) The acute angle between the terminal ray and the x-axis is the "reference angle."

3) Multiply radians by 180°/π to convert to degrees.

a) π/2 × 180°/π = 180°/2 = 90°

b) 7π/12 × 180°/π = (7/12)(180°) = 105°

4) To convert from degrees to radians, multiply by π/180°.

a) 360° × π/180° = 2π radians

b) 315° × π/180° = 7π/4 radians

8 0

3 years ago

A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur

Crazy boy [7]

Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

tan(10º) = 107/dA

dA = 107/tan(10º)

dA = 607.

For the horizontal position at point B, we have that:

tan(37º) = 107/dB

dB = 107/tan(37º)

dB = 142.

Hence the distance is given by:

D = dA - dB = 607 - 142 = 465.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

6 0

2 years ago

Can somebody tell me how to solve these kind of problems?

Ugo [173]

Answer: 918km^2

Step-by-step explanation:

$area(a): 1700km^2\\percentage(p): 5.75 = \frac{5.75}{100}=0.0575\\years(y): 8$

Let x be the new dimension of the area;

$x=a-(a*p*y)$

$x=(1700km^2)-(1700km^2*0.0575*8)\\x=1700km^2-782km^2\\x=918km^2$

6 0

3 years ago

What is the fuction for the graph?

Andrews [41]

The piecewise defined function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

<h3>What is the piecewise defined function behind the graph?</h3>

In this problem we have a piecewise defined function formed by three functions: (i) Linear equation, (ii) Quadratic equation, (iii) Linear equation. The first function is y = 40, for 0 ≤ x < 15.

The second function can be found based on the knowledge of three points:

y = a · x² + b · x + c

(x₁, y₁) = (15, 40)

40 = 225 · a + 15 · b + c

(x₂, y₂) = (45, 2.5)

2.5 = 2025 · a + 45 · b + c

(x₃, y₃) = (65, 20)

20 = 4225 · a + 65 · b + c

And the quadratic equation is y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65.

And the latter linear equation is:

y = m · x + b

m = (30 - 20)/(90 - 65)

m = 0.4

And the x-intercept is:

b = y - m · x

b = 20 - 0.4 · 65

b = - 6

The linear equation is y = 0.4 · x - 6, for x ≥ 65.

To learn more on piecewise defined functions: brainly.com/question/12561612

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7 0

2 years ago

Can someone solve this? and tell me how?

maksim [4K]

Answer:

1/3

Step-by-step explanation:

When working with balanced expressions (stuff on both sides of the equal sign), "what you do to one side, you do to the other", which keeps it balanced.

The first thing we notice is the exponent 1/4, which is one both sides, so we can get rid of it on both sides by using the reverse operation.

The reverse of exponents is square root.

$(4x + 10)^{\frac{1}{4}} = (9 + 7x)^{\frac{1}{4}}\\\sqrt[\frac{1}{4}]{(4x + 10)^{\frac{1}{4}}} = \sqrt[\frac{1}{4}]{(9 + 7x)^{\frac{1}{4}}}\\\\4x + 10 = 9 + 7x$

Isolate x to solve. Separate the variables and non-variables.

4x + 10 = 9 + 7x

4x - 4x + 10 = 9 + 7x - 4x Subtract 4x from both sides

10 = 9 + 3x

10 - 9 = 9 - 9 + 3x Subtract 9 from both sides

1 = 3x Divide both sides by 3 to isolate x

x = 1/3 Answer

8 0

3 years ago