100 POINTS AND BRAINLIST

Mathematics

2 answers:

sergij07 [2.7K]2 years ago

8 0

Answer:

90+x+x=180

2x=180-90

2x=90

x=90/2

x=45

45+45+90=180

180=180

Andrew [12]2 years ago

3 0

Remember your SOHCAHTOA

arctan(103/161) = 32.6

answer: 32.6

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Suppose you earn 3% on a $1,200 deposit for 5 years. Explain how the simple interest is affected if the rate is increased by 1%.

coldgirl [10]

$\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.03)(5)\implies \boxed{I=180}\\\\
-------------------------------$

$\bf ~~~~~~ \textit{Simple Interest Earned increased by 1\%}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
I=1200(0.04)(5)\implies \boxed{I =240}\\\\
-------------------------------$

$\bf ~~~~~~ \textit{Simple Interest Earned increased by 1 year}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1200\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &6
\end{cases}
\\\\\\
I=1200(0.03)(6)\implies \boxed{I =216}$

8 0

4 years ago

Jared is constructing a rectangular door for a shed. If the door, shown below, has a width of 42 in. and a diagonal support of 9

Goshia [24]

Answer:

Step-by-step explanation:

A rectangular door for a shed has a width of 42 in and a diagonal support of 94 in. The triangle formed by the rectangle's width (first leg), rectangle's length (second leg) and rectangle's diagonal (hypotenuse) is right triangle. By the Pythagorean theorem,

$\text{leg}_1^2+\text{leg}_1^2=\text{hypotenuse}^2.$