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murzikaleks [220]
3 years ago
12

Omar is making a scale model of the Statue of Liberty for a report on New York . The Statue of Liberty is 305 feet tall measurin

g from the ground to the tip of the torch . If the model is 1/100 the actual size of the Statue of Liberty , how tall is the model?
Mathematics
2 answers:
Romashka [77]3 years ago
6 0
305×1/100=305/100= 3.05 feet tall
sattari [20]3 years ago
4 0

The Statue of Liberty is 305 feet tall measuring from the ground to the tip of the torch . If the model is 1/100 the actual size of the Statue of Liberty

Actual size of the statue = 305

Model is \frac{1}{100} of the actual size of the Statue of Liberty

Height of model =  \frac{1}{100} of the actual size

=  \frac{1}{100} * 305

=  \frac{305}{100}= 3.05

Model of Statue of Liberty is 3.05 feet tall


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Solve The Equation <br> 4x×9y=7<br> 4x-9y=9
hoa [83]

Answer:

\large\boxed{x=\dfrac{9}{8}-\dfrac{\sqrt{109}}{8},\ y=-\dfrac{1}{2}-\dfrac{\sqrt{109}}{18}}\\or\\\boxed{x=\dfrac{9}{8}+\dfrac{\sqrt{109}}{2},\ y=-\dfrac{1}{2}+\dfrac{\sqrt{109}}{18}}

Step-by-step explanation:

\left\{\begin{array}{ccc}4x\times9y=7&(1)\\4x-9y=9&(2)\end{array}\right\\\\(2)\\4x-9y=9\qquad\text{subtract}\ 4x\ \text{from both sides}\\-9y=-4x+9\qquad\text{change the signs}\\9y=4x-9\qquad\text{substitute it to (1)}\\\\4x(4x-9)=7\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\(4x)(4x)+(4x)(-9)=7\\(4x)^2-36x=7\\(4x)^2-2(4x)(4.5)=7\qquad\text{add}\ 4.5^2\ \text{to both sides}\\(4x)^2-2(4x)(4.5)+4.5^2=7+4.5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2

(4x-4.5)^2=7+20.25\\(4x-4.5)=27.25\to 4x-4.5=\pm\sqrt{27.25}\\\\4x-\dfrac{45}{10}=\pm\sqrt{\dfrac{2725}{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{2725}}{\sqrt{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25\cdot109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25}\cdot\sqrt{109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{5\sqrt{109}}{10}\qquad\text{add}\ \dfrac{45}{10}\ \text{to both sides}\\\\4x=\dfrac{45}{10}\pm\dfrac{5\sqrt{109}}{10}

4x=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 4}\\\\x=\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\\\\\text{Put the values of}\ x\ \text{to (2):}\\\\9y=4\left(\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\right)-9\\\\9y=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}-\dfrac{18}{2}\\\\9y=-\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 9}\\\\y=-\dfrac{1}{2}\pm\dfrac{\sqrt{109}}{18}

8 0
3 years ago
Convert 1.4x10^-8 to standard notation/long form​
andriy [413]

Answer:

0.000000014

Step-by-step explanation:

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6 0
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marishachu [46]

Answer:

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Step-by-step explanation:

volume of a cube = s³

where s = side length

side length given here is 3.8

so volume = 3.8³ = 54.872

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2 years ago
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Phoenix [80]
I THINK IT WOULD BE 54 INCHES TALL I THINK 
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Domain and range of -3x^2+16x+3
Zarrin [17]

Answer:

<=16  

Step-by-step explanation:

3 0
3 years ago
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