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Sliva [168]
2 years ago
7

What is the value of 14 × 10,000? 140 1,400 14,000 140,000

Mathematics
2 answers:
Bogdan [553]2 years ago
6 0

Hewo Yuri-san here Allow me to help! :3

Answer:

-140,000

Step-by-step explanation:

Here's a trick I learned in 5th grade.

<em>You see all the </em><u><em>zero's behind the number 10,000 just add them onto the back of the number you're mutliplying with and it gives you the answer.</em></u>

<em>In this case, we have the number 10,000 with 4 zero's and we're going to add that to the back of 14 which gives us the answer 140,000  And they both have 4 zero's. :)</em>

<em />

<em>Therefore, the answer is 140,000</em>

Hope this Helps!

Have a great day!

-Yuri-san

Eddi Din [679]2 years ago
4 0

Answer:

140000

Step-by-step explanation:

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are any two regular polygons similar. The area of the smaller figure is about 390 cm^2. choose the best estimate of the area of
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Answer:

The best estimate of the area of the larger figure is 693\ cm^{2}

Step-by-step explanation:

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<em>Find the scale factor</em>

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Let

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x-----> the corresponding side of the larger figure

y-----> the corresponding side of the smaller figure

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z=\frac{x}{y}

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x=12\ cm

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z=\frac{12}{9}=\frac{4}{3} -----> the scale factor

step 2

<em>Find the area of the larger figure</em>

we know that

If two figures are similar, then the ratio of its  areas is equal to the scale factor squared

Let

z----> the scale factor

x-----> the area of the larger figure

y-----> the area of the smaller figure

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z^{2}=\frac{x}{y}

we have

z=\frac{4}{3}

y=390\ cm^{2}

substitute and solve for x

(\frac{4}{3})^{2}=\frac{x}{390}

(\frac{16}{9})=\frac{x}{390}

x=390*16/9=693.33\ cm^{2}

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A lighthouse is located on a small island 5 km away from the nearest point P on a straight shoreline and its light makes seven r
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Light is moving at the speed = 77.78 km/min

Step-by-step explanation:

Given:

Distance between island and point P = 5 km

Moving along the the shoreline when it is 1 km from P.

So, x = 1

From the above statement light makes seven revolutions per minute.

Therefore,              

\frac{d\theta}{dt}=\frac{7\times 2\pi\ rad}{1\ min}  = 14\pi\ rad/min  

Solution:

From the given figure.

tan\theta=\frac{x}{5}

Substitute x = 1

tan\theta=\frac{1}{5}  -------------------(1)

Now, first we differentiate both side with respect to t.

\frac{d(tan\theta)}{dt} = \frac{d}{dt}.(\frac{x}{3})

Using chain rule.

\frac{d(tan\theta)}{dt}.\frac{d\theta}{dt}  = (\frac{1}{5})\frac{dx}{dt}

sec^{2} \theta.\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+tan^{2} \theta).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute tan\theta=\frac{1}{5} from equation 1.

(1+(\frac{1}{3})^{2} ).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

(1+\frac{1}{9}).\frac{d\theta}{dt} = \frac{1}{5}.\frac{dx}{dt}

Substitute \frac{d\theta}{dt}=14\pi

\frac{10}{9}.14\pi  = \frac{1}{5}.\frac{dx}{dt}

Applying cross multiplication rule.

\frac{dx}{dt}= \frac{700\pi }{9}

\frac{dx}{dt}= 77.78\pi

Therefore, light is moving along the shore at the speed of 77.78 km/min

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3 years ago
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