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4 years ago

Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.

Mathematics

1 answer:

cricket20 [7]4 years ago

5 0

Answer:

The translation would be

X = 40% + 5 + A

Step-by-step explanation:

First, translate the words, is, more than and 'the number'.

Is means equals (=).

More Than means plus (+).

'the number' can be x.

Now, put it together.

X(The Number) =(Is) 40% +(more than) 5 +(more than) A(a number)

I hope this helps!!

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Answer:

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Step-by-step explanation:

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3 years ago

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The circle below has center k , and its radius is 3 cm Given that m∠LKM =70° , find the length of the major arcLNM

Veseljchak [2.6K]

The length of the major arc LNM is $\frac{29}{6}\pi \ cm$

<h3><u>Length of an arc</u></h3>

From the question,

We are to determine the value of the length of the major arc LNM

The length of the major arc LNM can be calculated using the formula

$Length \ of \ major\ arc \ LNM = \frac{Reflex \$

Where r is the radius

First, we will determine the value of the reflex ∠LKM

Reflex ∠LKM + ∠LKM = 360° (<em>Sum of angles at a point</em>)

From the given information,

∠LKM = 70°

Then,

Reflex ∠LKM + 70° = 360°

Reflex ∠LKM = 360° - 70°

Reflex ∠LKM = 290°

Also, from the question

r = 3 cm

Now, putting the parameters into the formula, we get

$Length \ of \ major\ arc \ LNM = \frac{290 ^\circ }{360 ^\circ} \times 2\pi \times 3$

Then,

$Length \ of \ major\ arc \ LNM = \frac{1740\pi}{360}$

$Length \ of \ major\ arc \ LNM = \frac{29}{6} \pi \ cm$

Hence, the length of the major arc LNM is $\frac{29}{6}\pi \ cm$

Learn more on calculating length of an arc here: brainly.com/question/2005046

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Answer:

Step-by-step explanation:

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