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2 years ago

The diameter of a circle is 28 yards. What is the circle's area?

Mathematics

1 answer:

LekaFEV [45]2 years ago

8 0

Answer:

615.44

Step-by-step explanation:

If diameter = 28, then radius is 14

Area = 3.14 x (14x14) =615.44

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vagabundo [1.1K]

Answer:

the right answer is d.

just use CAST relation

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2 years ago

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1/2y=13<br> Solve for y.

8090 [49]

Answer:

The correct answer is Y = 26

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3 years ago

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An expression that uses variables to state a rule is a ______

nikdorinn [45]

<u>Formula</u>

<em>An expression that uses variables to state a rule is a </em><u><em>formula</em></u>

<h2>Explanation:</h2>

An expression that uses variables to state a rule is a formula. It's important to know that formulas uses the equals sign (=) and includes two or more variables. Formulas gives us information that we express symbolically. For example, the well known formula for the volume of a sphere is defined as:

$V=\frac{4}{3} \pi r^3 \\ \\ \\ Where: \\ \\ V:Volume \ of \ the \ sphere \\ \\ r:Radius \ of \ the \ sphere$

So in this formula we have a relationship between the volume of a sphere and its radius, so if we have information about the radius of it we can easily calculate the volume of it.

<h2>Learn more:</h2>

Volume of prism: brainly.com/question/12501166

#LearnWithBrainly

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3 years ago

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Type the correct answer in each box. (____)

trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8) mm

V = 1024π mm³

Calculations:

1. Find the cubic equation

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²

1024 = x(x² - 16x + 64)

1024 = x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1 -16 64 -1024

1 0 64 0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0 x² + 64 = 0

x = 16 x² = -64

x = ±8i

There is only one real root: x = 16 mm

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3 years ago

Drag each tile to the correct box. A data set that consists of many values can be summarized using the five-number summary. Arra

dimaraw [331]

Answer:

Minimum < Q1 < Median < Q3< Maximum

Step-by-step explanation:

Given

Minimum, Median, Maximum, Q3 and Q1

<em>See attachment for complete question</em>

Required

Order from least to greatest

In a dataset, the range is:

$Range = Maximum - Minimum$

This implies that, the minimum is the least and the maximum is the highest of the dataset

So, we have:

Minimum < < < < Maximum

The median is the middle item; So, the above becomes

Minimum < < Median < < Maximum

In a dataset, the IQR is:

$IQR = Q_3 - Q_1$

This implies that:

$Q_3 > Q_1$

So, we have:

Minimum < Q1 < Median < Q3< Maximum

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3 years ago