All categories

4 years ago

The two figures are proportional. Find the value of x. 36 in. 12 in. LA 10 in.

Mathematics

1 answer:

Alina [70]4 years ago

3 0

36 / x = 12 / 10

12x = 360

x = 30

The correct answer is C. 30 inches.

Hope this helps! :)

You might be interested in

Write 31/11 as a decimal. If necessary, use a bar to indicate with digit or group of digits repeats

Andrews [41]

Answer:

2.81

Step-by-step explanation:

.81 has a bar over it.

5 0

3 years ago

Jacob solves the system of equations by forming a matrix equation.

Lyrx [107]

Simultaneous equations can be solved using inverse matrix operation.

The complete steps of Jacob's solution are:

$\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]^{-1} \cdot \left[\begin{array}{cc}4&1\\-2&3\end{array}\right]\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14}\left[\begin{array}{cc}3&-1\\2&4\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

We have:

$4x + y = 2$

$-2x + 4y = -22$

Calculate the determinant of $\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

$|A| = 4 \times 3 -1 \times -2$

$|A| = 12 +2$

$|A| = 14$

So, the inverse matrix becomes

$A = \frac{1}{14}\left[\begin{array}{cc}4&1\\-2&3\end{array}\right]$

Replace the first column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of x

$x = \frac{1}{14}\left[\begin{array}{cc}2&1\\-22&3\end{array}\right]$

So, we have:

$x = \frac{1}{14}(2 \times 3 - 1 \times -22)$

$x = \frac{1}{14}(6 +22)$

$x = \frac{1}{14}(28)$

$x = 2$

Replace the second column with $\left[\begin{array}{c}2&-22\end{array}\right]$ to calculate the value of y

$y = \frac{1}{14}\left[\begin{array}{cc}4&2\\-2&-22\end{array}\right]$

So, we have:

$y = \frac{1}{14}(4 \times -22 - 2 \times -2)$

$y = \frac{1}{14}(-88 +4)$

$y = \frac{1}{14}(-84)$

$y = -6$

Hence, the complete process is:

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{cc}4&1\\-2&3\end{array}\right] \cdot \left[\begin{array}{c}2&-22\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \frac{1}{14} \left[\begin{array}{c}28&-84\end{array}\right]$

$\left[\begin{array}{c}x&y\end{array}\right] = \left[\begin{array}{c}2&-6\end{array}\right]$

Read more about matrices at:

brainly.com/question/11367104

6 0

3 years ago

A company is designing a new cylindrical water bottle. The volume of the bottle will be 220 cmcubed. The height of the water bot

FrozenT [24]

Answer:

Radius = 2.90 cm

Step-by-step explanation:

$Volume \: of \: Cylinder \: = \pi {r}^{2} h$

220 = 3.14 × {r}^{2} × 8.3

220 = 26.062 × {r}^{2}

220/26.062 = {r}^{2}

{r}^{2} = 8.44 ( approx )

r = √8.44

r = 2.90 cm. (approx)

Hope this helps .....

Please mark as Brainliest!!!!

4 0

3 years ago

What does point g represent

Gnom [1K]

Do you have a picture?

7 0

3 years ago

Jared's bus is late to school 20% of the time. If the bus transports students 20 days in march, how many days is the bus late ma

solong [7]

Answer:

The bus is late 4 times in March.

Step-by-step explanation:

Solving this problem is very easy, using this formula:

20(0.2) = times late in March

(The 0.2 is the decimal form of 20%)

This is equal to 4, the times in March when the bus was late.

7 0

3 years ago