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2 years ago

Find the value of x. Write your answer as a simplified radical if necessary.

Mathematics

1 answer:

Andreas93 [3]2 years ago

3 0

Answer:

x=5

Step-by-step explanation:

The right angle opposite is the hypotenuse

The 30° is the opposite

SohCahToa

Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)

10×sin(30)=5

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Find a number such that one-half of the number is 9 less than two-thirds of the number

dimulka [17.4K]

Let's say, the number is "a"
thus $\bf \cfrac{1}{2}a=\cfrac{2}{3}a-9\implies \cfrac{a}{2}=\cfrac{2a}{3}-9\implies \cfrac{a}{2}=\cfrac{2a-27}{3}$

cross-multiply and solve for "a"

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3 years ago

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alexdok [17]

Answer:

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Step-by-step explanation:

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2 years ago

What is interest earned on 3500 invested at 6% compounded quarterly or 12 years

enyata [817]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
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so, the interest earned then will be A - 3500.

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2 years ago

On a road map with a scale of 1 cm. : 110 mi., the distance between two cities measures 4.5 cm. What is the actual distance betw

Scorpion4ik [409]

Answer:

465 miles

Step-by-step explanation:

So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get

4.5 cm: 465 mi

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2 years ago

Estimate.<br> 4,754 dived by 1.9 =

irinina [24]

Answer:

2502.1

Step-by-step explanation:

4754/1.9

= 2,502.1

Hence the andwer is 2502.1

8 0

2 years ago