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rosijanka [135]
3 years ago
5

Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

let's say the breakfast price was "x", so that's the 100%, and we know she gave 20% of that and that is 1.80.

so, 1.80 is 20%, and "x" is the 100%, what is "x"?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 1.80&20\\ x&100 \end{array}\implies \cfrac{1.80}{x}=\cfrac{20}{100}\implies \cfrac{1.8}{x}=\cfrac{1}{5} \\\\\\ 9.0=x\implies 9=x

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Which list shows these lengths in order from greatest to least?
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Answer:

  √3/11, π/24, 3/25, 9/100

Step-by-step explanation:

The 2-decimal value of each of the numbers is ...

  9/100 = 0.09

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Then the order from greatest to least is 0.16, 0.13, 0.12, 0.09. In the original form, that is ...

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3 years ago
Which equation requires the multiplication property of equality to be solved?
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Option 1: 6a = 420 requires division property of equality to be solved
Step-by-step explanation:
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Option 1:

In this option, 6 is multiplied with the variable so we have to divide the whole equation by 6 to find the value of a.
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6 0
3 years ago
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Law of cosines: a2 = b2 + c2 – 2bccos(A) Which equation correctly applies the law of cosines to solve for an unknown angle measu
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4 years ago
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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men  standing to the top of the clock tower.

#Taking the right triangle ACD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

#Taking the right triangle ABD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

#We equate the two yo solve for x and y;

(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

8 0
3 years ago
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Answer:

2 hours

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Time taken: 12ft/6ft per hour = 2 hours

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2 years ago
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