All categories

3 years ago

The irregular figure on the left has been decomposed into the figures on the right.

Mathematics

2 answers:

Mrac [35]3 years ago

7 0

The answer would be 3 inches

Komok [63]3 years ago

7 0

The answer to this question is 4 inches

You might be interested in

Rebecca had 9/10 of a yard of ribbon.Rebecca had 9/10 of a yard of ribbon. Then she gave 7/20 of a yard to a friend. How much do

scZoUnD [109]

I think it's 11/20.

6 0

3 years ago

If $8700 is invested at 3% annual simple interest, how much should be invested at 6% annual simple interest so that the total ye

True [87]

First off, see how much 8700 as principal, yields at 3% APR
that is $\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$8700\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &1
\end{cases}$

it will yield some amount

subtract that amount from 393
the difference is how much the yield will be on the 6% investment
so

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\quad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$8700\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=years\to &1
\end{cases}
\\\\\\
\implies \boxed{?}\\\\
-----------------------------\\\\
\textit{how much to invest at 6\%?}
\\\\\\
$

$\bf \qquad \textit{Simple Interest Earned}\\\\
(393-\boxed{?}) = Prt\quad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
t=years\to &1
\end{cases}
\\\\\\
\textit{solve for "P", to see how much should the Principal be}\\\\
\textit{keep in mind that }P+\boxed{?}=393\leftarrow \textit{both yields added}$

6 0

2 years ago

10483 people attended a rock festival. if there were 811 more boys than girls, and 2481 fewer adults over 50 years of age than t

Bond [772]

Answer: 4051 girls, 4862 boys and 1570 adults over 50 years of age group attended the festival.

Step-by-step explanation:

Let x denotes the number of girls.

Then, the number of boys = x+811

The number of adults over 50 years of age = x-2481

Now, by considering the given scenario :-

$x+x+811+x-2481=10483\\\\\Rightarrow\ 3x-1670=10483\\\\\Rightarrow\ 3x=10483+1670\\\\\Rightarrow\ 3x=12153\\\\\Rightarrow\ x=\dfrac{12153}{3}=4051$

Thus, the number of girls attended the festival = 4051,

Then number of boys = 4051+811=4862

Number of adults = 4051-2481=1570

7 0

3 years ago

Adam spent half of his weekly allowance and the movies to earn more money his parents let him wash the car for $6 what is his we

Artemon [7]

Answer:

His weekly allowance is 8$

Step-by-step explanation:

4 0

3 years ago

Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. X = 5 sqrt( y) text(, ) x = 0 t

kkurt [141]

Answer:

V = 200 π

Step-by-step explanation:

x = 5√y , x = 0 , y = 4

<u>Determine the volume of the solid V</u>

when x = 0 y = 0

we can calculate the volume of the solid by applying the washer method

V = π ₀⁴∫ [ 0 + ( 5√y )^2 ] dy

= π ₀⁴∫ [ 0 + ( 25(y) ) ] dy

V = π [ 0 + 25/2 ( y^2 ) ] ⁴₀

V = π [ 25/2 ( 16 ) ]

= 200 π

6 0

2 years ago