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Dovator [93]
2 years ago
15

Five and nine tenths in expanded form and standard

Mathematics
1 answer:
nika2105 [10]2 years ago
3 0

Answer:

  • 5×1 +9×0.1
  • 5.9

Step-by-step explanation:

The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.

The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:

  5 + 0.9

You can show the multipliers in standard form:

  5×1 + 9×0.1

Or, you can show the multipliers in exponential form:

  5×10⁰ +9×10⁻¹

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What’s the angle it’s looking for ?
Law Incorporation [45]

Given:

m(ar KN) = 2x + 151

m(ar LN) = 61°

m∠NMK = 2x + 45

To find:

m∠NMK

Solution:

By property of circle:

<em>If a tangent and a secant intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow m\angle NMK=\frac{1}{2} (m \ ar(KN) - m\ arLN))

$\Rightarrow 2x+45=\frac{1}{2} (2x + 151-61)

$\Rightarrow 2x+45=\frac{1}{2} (2x + 90)

Multiply by 2 on both sides, we get

$\Rightarrow 2\times (2x+45)=2\times \frac{1}{2} (2x + 90)

$\Rightarrow 4x+90=2x + 90

Subtract 90 from both sides.

$\Rightarrow 4x+90-90=2x + 90-90

$\Rightarrow 4x=2x

Subtract 2x from both sides.

$\Rightarrow 4x-2x=2x-2x

$\Rightarrow 2x=0

$\Rightarrow x=0

Substitute x= 0 in m∠NMK.

m∠NMK = 2x + 45

              = 2(0) + 45

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Therefore m∠NMK = 45.

8 0
2 years ago
A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional
WINSTONCH [101]
Let x = the length of the rectangle
Let w= the width

Two sections are required, hence 2w of fence required
2x+3w=500

this can be written as:
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Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3

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Axis of symmetry: x=-b/2a
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It takes for three gardeners 90 minutes to weed a garden. If the job is to be done in only 15 minutes, how many more gardeners n
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If 5 sips +4 gulps = 1 glass and 13 sips +7 gulps = 2 glasses, how many sips equal a gulp?
nataly862011 [7]

Answer:

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Step-by-step explanation:

we have

5sips+4gulps=1glass ----> equation A

13sips+7gulps=2glass

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equate equation A and equation B

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therefore

3 sips equal a gulp

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