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2 years ago

A yacht that travels 1.375 km in 165 minutes expressed in km/h

Mathematics

1 answer:

Tomtit [17]2 years ago

8 0

The speed of a yacht traveling a distance of 1.357 km in 165 minutes is 0.5 km/h

<h3>What is Speed?</h3>

The speed of an object is the distance covered by the object in respect to time.

Mathematically:

$\mathbf{Speed = \dfrac{distance}{time}}$

$\mathbf{Speed = \dfrac{1.375 \ km}{165 minutes }}$

We know that 60 minutes = 1 hour
165 minutes = 2.75 hours

$\mathbf{Speed = \dfrac{1.375 \ km}{2.75 \ hours}}$

Speed = 0.5 km/hour

Learn more about calculating speed here:

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2 years ago

State three different between the fundamantal and derived quantities

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Step-by-step explanation:

Derived=Depends on other quantities, obtained from product or division of fundamental quantities, exist a large number of derives units in the metric system

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2 years ago

A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the

victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

$(9 + 2x)(13 + 2x) =192$

$117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0$

<em><u>Let us solve the above equation by quadratic formula</u></em>

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

For $4x^2 + 44x - 75 = 0$ , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

$\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}$

$\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}$

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

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2 years ago

Recall the chapter example which described the fact that the mean IQ in large, diverse and the standard deviation is 15. Your sa

natulia [17]

Given Information:

Population size = n = 300

standard deviation = σ = 15

confidence level = 99%

Required Information:

Margin of error = ?

Step-by-step explanation:

The margin of error is a measure of the effectiveness of your survey.

Margin of error = z*(σ/√n)

z-score corresponding to 99% confidence level = 2.58

Margin of error = ±2.58*(15/√300)

Margin of error = ±2.58*(0.866)

Margin of error = ±2.23

Hence the correct option is C ±2.23

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2 years ago