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Galina-37 [17]
2 years ago
14

30-60-90 triangle..find the value of x?

Mathematics
1 answer:
harkovskaia [24]2 years ago
5 0

Answer:

A. y = 9√3

Step-by-step explanation:

The relationship of the sides of the triangles are as follows:

First leg = x

Second leg = x√3

Hypotenuse = 2x

Since we know the first leg is 9, multiply that by √3.

Therefore, y = 9√3.

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2/3 is what percent of 1/4?
saveliy_v [14]
So if we take 1/4 to be the 100%, what is 2/3 in percentage off of it then?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{1}{4}&100\\\\
\frac{2}{3}&p
\end{array}\implies \cfrac{\frac{1}{4}}{\frac{2}{3}}=\cfrac{100}{p}\implies \cfrac{1}{4}\cdot \cfrac{3}{2}=\cfrac{100}{p}\implies \cfrac{3}{8}=\cfrac{100}{p}
\\\\\\
p=\cfrac{8\cdot 100}{3}\implies p=\cfrac{800}{3}\implies p=266\frac{2}{3}\implies p\approx 266.\overline{66}

yes, is a large value, because 2/3 is indeed larger than 1/4, more than twice as large.
8 0
3 years ago
What is the value of x in the equation 3(4x-1)-3x=5-(x-8)?
Setler [38]
12x-3-3x=5-(x-8)
9x-3=5-(x-8)
9x-3=5-x+ 8
9x-3=13-x
9x=16- x
10x=16
X= 8/5
4 0
2 years ago
Another geometry question♥♥
storchak [24]
Set the 2x - 1 equal to 9 then work backwards. 2x - 1 = 9 Nine minus one is eight divided by two is four. X = 4
4 0
2 years ago
Mode of 68 66 76 66 69
Brums [2.3K]

Answer:

Mode 66

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

6 0
2 years ago
If the simple interest on ​$7,000 for 7 years is ​$2,940​, then what is the interest​ rate?
ddd [48]

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2940\\ P=\textit{original amount deposited}\dotfill & \$7000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &7 \end{cases} \\\\\\ 2940=7000(\frac{r}{100})(7)\implies \cfrac{2940}{7000(7)}=\cfrac{r}{100}\implies \cfrac{3}{50}=\cfrac{r}{100} \\\\\\ 300=50r\implies \cfrac{300}{50}=r\implies \stackrel{\%}{6}=r

4 0
2 years ago
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