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katrin [286]
3 years ago
8

Yesterday afternoon, the cafe sold 22 single-shot espressos and 33 double-shot espressos. What percentage of the espressos sold

were single-shot?
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0
40% of the espressos were single-shot

22+33=55 total shots
22/55= .4
.4x100
40%
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What is the length of the hypotenuse of the triangle below?​
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Answer:

Step-by-step explanation:

So here we have a 45-45-90 triangle.

This a special right triangle were the sides across from the 45 degree angles can be considered x, while the hypotenuse is two square roots of x.

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So if we wanted the hypotenuse we would just plug in this value of x like so:

hyp = x\sqrt{2} \\

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3 0
3 years ago
What is the simplified form of the following expression? 2√27+√12-3√3-2√12
LiRa [457]

Answer:

√3

Step-by-step explanation:

The given expression to be simplified is

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}

but

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\sqrt{12}=\sqrt{4\times3}= \sqrt{4}\times \sqrt{3}=2\sqrt{3}

Since √12=2√3,this implies that,

2\sqrt{12}=2\times2\sqrt{3}=4 \sqrt{3}

Therefore,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12}=6\sqrt{3}+2\sqrt{3}-3 \sqrt{3} -4\sqrt{3}

=(6+2-3-4)\sqrt{3}

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The simplified form of ,

2 \sqrt{27}+\sqrt{12}-3\sqrt{3}-2 \sqrt{12} is √3

8 0
2 years ago
Rashau made a rectangular frame for her latest oil painting. The length is 28 centimeters more than triple the width. The perime
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The length is about 28 more than three times the width. Denoted as (a) width, and as (b) the length. Then move on to lay the system of equations, as done below:

\begin{cases}2a+2b=136\\b=3a+28\end{cases}
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The short side has a length of 10 cm, and 58 cm long.
5 0
3 years ago
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