Please include step by step

Mathematics

1 answer:

mote1985 [20]3 years ago

5 0

Answer:

x=2 AB=hypotenus(h) angle ACB is 90

BC=p angle CAB is 30 also angle of refrence

Step-by-step explanation:

sin[30]=p/h

(1/2)=x/4

2x=4

x=2

You might be interested in

The ratio of games won at to the games lost for a basketball team is 3:2. The team won 18 games. How many games did the team los

schepotkina [342]

A ratio of 3:2.

The easiest way to go about this is to divide the actual number of wins (18) by its corresponding element in the ratio.

So:

$\frac{18}{3}= 6$

This means every element on the ratio has a value of 6.

The amount of element in the ratio that correspond to losses is 2.

Multiply the actual amount of matches per element in the ratio by the number of elements that represents the losses in the ratio.

$6*2=12$

Your answer:

<em>"The team lost 12 games."</em>

7 0

3 years ago

in one month darius spends 10 hours walking dogs. How many dogs walks does he do in one month ALSO this is dividing a whole numb

MA_775_DIABLO [31]

Step-by-step explanation:

let's assume one month is 30 days you would multiply 10 by 30.

$10 \times 30 = 300$

which would be 300 hours in 1 month

now if one month is 31 days you would simply multiply 10 by 31.

$10 \times 31 = 310$

which would be 310 hours

6 0

3 years ago

Kelly deposits $3,000 at a rate of 5.2% compounded quarterly. With no additional deposits or withdrawals, what is the account ba

lorasvet [3.4K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to 5.2\%\to \frac{5.2}{100}\to &0.052\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=3000\left(1+\frac{0.052}{4}\right)^{4\cdot 10}\implies A=3000(1.013)^{40}
\\\\\\
A\approx 5029.201878874637$