All categories

3 years ago

Fing the two missng sides of 30-60-90 triangle. Don't use trigononetric ratios

1 answer:

6 0

Answer: Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.

You might be interested in

What is the measure of an angle that is it’s own complement ?

ValentinkaMS [17]

A complement is angle that can be added to another to equal 90 degrees.

So two times the same number would equal 90.

90 / 2 = 45

The angle that is its own complement is 45 degrees.

8 0

3 years ago

If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

6 0

3 years ago

Barb and John each have a savings account with a sum of money in it. Barb and John each begin to add a set amount of money each

BigorU [14]

Answer:

The answers are, "John saves $35 dollars the first week" and "John is saving at a faster rate than Barb"

8 0

3 years ago

Read 2 more answers

It takes 68 days for John to plants to grow 3 centimeters. About how many weeks is that? The answers choices are as follow : abo

Nesterboy [21]

We know that there are 7 days in a week, so just divide 68 ÷ 7 and you should get 9.71 which is approximately 10 weeks

5 0

3 years ago

Read 2 more answers

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

HACTEHA [7]

Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

<u>Solution:</u>

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

$\Rightarrow0.5\text{ lbs }- 1.5\%$

$\Rightarrow x+0.5\text{ lbs }- 100\%$

On writing the proportion,

$\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs$

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.

7 0

3 years ago

Fing the two missng sides of 30-60-90 triangle. Don't use trigononetric ratios​

Fing the two missng sides of 30-60-90 triangle. Don't use trigononetric ratios