All categories

3 years ago

IF THE TRIANGLES IN THE ABOVE FIGURE ARE PROPORTIONAL, WHATS THE LENGTH OF SIDE B?

Mathematics

1 answer:

Tema [17]3 years ago

5 0

<h3>Answer: choice B) 36</h3>

=================================================

Explanation:

The vertical sides, when read from left to right, can be divided to get this fraction: 9/90

Following the same order and direction, we divide the slanting corresponding sides to get: b/360

The fractions we constructed are equal to one another, as the triangles are said to be proportional.

We have the fraction 9/90 = b/360

Lets cross multiply and solve for b

--------------------

9/90 = b/360

9*360 = 90*b

3240 = 90b

90b = 3240

90b/90 = 3240/90

--------------------

A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.

You might be interested in

Find the total surface area of a rectangular prism with dimensions of 8 ft x 4 ft x 3 ft.

Kryger [21]

Hi,

To find area of rectangular prism do this.

$a = 8 \\ b = 4 \\ c = 3 \\ s = 2 \times (a \times c) + 4 \times (a \times b) \\ s = 2 \times (8 \times 3) + 4 \times (8 \times 4) \\ s = 2 \times 24 + 4 \times 32 \\ s = 48 + 128 \\ s = 176$

Hope this helps.
r3t40

7 0

3 years ago

Graph f(x)=-2x^2-12x-21

ELEN [110]

Step-by-step explanation:

First, find the vertex. The x coordinate is -b/2a, or 12/-4=-3. Plug this back in to get -18+36-21 or -3, so the vertex is (-3, -3). Now, slowly make the x -2, -1, 0, 1, on and on. Because parabolas are symmetric along the vertex, they will have the same values as -4, -5, -6, on and on.

5 0

3 years ago

Patricia and Joe Payne are divorced. The divorce settlement stipulated that Joe pay $485 a month for their daughter Suzanne unti

zhuklara [117]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array} &
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &
\begin{array}{llll}
485\cdot 12\\
\underline{5280}
\end{array}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{a year, thus once}
\end{array}\to &1\\

t=years\to &4
\end{cases}
\\\\\\
$

$\bf A=5280\left[ \cfrac{\left( 1+\frac{0.06}{1} \right)^{1\cdot 4}-1}{\frac{0.06}{1}} \right]$

Joe is making $485 payments monthly, but the amount gets interest on a yearly basis, not monthly, so the amount that yields interest is 485*12

also, keep in mind, we're assuming is compound interest, as opposed to simple interest

3 0

4 years ago

Carter invested 540 in an account paying an interest rate of 4 and 7/8% compounded monthly. Jack invested 540 in an account payi

alukav5142 [94]

Answer:

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP ASAP! Several books are placed on the bottom three shelves of a bookcase. When 1 book was taken from the first shelf

sergeinik [125]

Answer:

24 books

Step-by-step explanation:

Initially the top shelf has no books placed on

Then books added to this:

1+2+3= 6

And now all 4 shelves have same amount of books. So total number is:

4*6= 24 books

There are 24 books in the bookcase

6 0

4 years ago