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2 years ago

Find the area of the figure. Round to the nearest tenth if necessary.

Mathematics

1 answer:

Sladkaya [172]2 years ago

5 0

Answer:

The area of the figure is 193.1 m

Step-by-step explanation:

The <u>figure can be divided in two</u>: a rectangle with a with of 11.1m and a lenght of 15.3 m; and a triangle with a base that measure 11.1 m and the height of (19.5 - 15.3 = 4.2 m).
The area of the rectangle can be calculated as follows: $area=with\times{height}$ . Then, the rectabgle area equals $11.1\times15.3=169.83m$ .
The area of a triangle can be calculated as $area=\frac{base\times{height}}{2}$ . Then, the triangle area equals $\frac{11.1\times{4.2}}{2} =23.31$ .
The sum of both areas equals the area of the figure. Then, the area of the figure equals $169.83+23.31=193.14$ ≅193.1
See the picture attached to see en detail the decomposition of the figure into a triangle and a rectangle.

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For which value(s) of x will the rational expression below equal zero? Check all that apply.

Ivahew [28]

Answer: D.-6 and F.3

Step-by-step explanation:

The given rational number : $\dfrac{(x-3)(x+6)}{(x+7)}$

To find : The value of x , where the rational expression becomes equal zero.

Let's check all the options :

A. 7

At x= 7 , $\dfrac{(7-3)(7+6)}{(7+7)}=\dfrac{26}{7}\neq0$

B. -7

At x= 7 , $\dfrac{(-7-3)(-7+6)}{(-7+7)}=\dfrac{10}{0}=\infty\neq0$

C. 6

At x= 6 , $\dfrac{(6-3)(6+6)}{(6+7)}=\dfrac{36}{13}\neq0$

D. -6

At x= -6 , $\dfrac{(-6-3)(-6+6)}{(-6+7)}=\dfrac{0}{1}=0$

E. -3

At x= -3 , $\dfrac{(-3-3)(-3+6)}{(-3+7)}=\dfrac{-9}{2}\neq0$

F. 3

At x= 3 , $\dfrac{(3-3)(3+6)}{(3+7)}=0$

Thus, at x= -6 and 3 , the rational expression equals to zero .

So , the correct options are : D.-6 and F.3

8 0

2 years ago

Read 2 more answers

Mags has 2 1/4 pints of milk in her refrigerator. She likes to have 1/4 pint will her oatmeal in the morning. How many bowls of

amm1812

1) you need divide 2 and 1 /4 by 1/4 to know the numbers of bowls of oatmeal before mags runs out the milk

x = 2+1/4/ 1/4 = 8+1/4÷1/4 = 9 AND THIS IS THE NUMBERS 0F OATMEAL THAH MAGS CAN HAVE WITH 2 1/4 OF MILK

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2 years ago

Read 2 more answers

If A^2=A, which matrix is matrix A

Ronch [10]

Consider all options:

$\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] \cdot \left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] =\left[\begin{array}{cc}5\cdot 5+5\cdot (-4)&5\cdot 5+5\cdot (-4)\\-4\cdot 5+(-4)\cdot (-4)&-4\cdot 5+(-4)\cdot (-4)\end{array}\right]=$

$=\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right].$

This option is true.

$\left[\begin{array}{cc}6&5\\5&6\end{array}\right] \cdot \left[\begin{array}{cc}6&5\\5&6\end{array}\right] =\left[\begin{array}{cc}6\cdot 6+5\cdot 5&6\cdot 5+5\cdot 6\\5\cdot 6+6\cdot 5&5\cdot 5+6\cdot 6\end{array}\right]=$

$=\left[\begin{array}{cc}61&60\\60&61\end{array}\right].$

This option is false.

$\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+(-0.5)\cdot (-0.5)&0.5\cdot (-0.5)+(-0.5)\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot (-0.5)+0.5\cdot 0.5\end{array}\right]=$

$=\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right].$

This option is true.

$\left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+0.5\cdot (-0.5)&0.5\cdot 0.5+0.5\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot 0.5+0.5\cdot 0.5\end{array}\right]=$

$=\left[\begin{array}{cc}0&0.5\\-0.5&0\end{array}\right].$

This option is false.

$\left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] \cdot \left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] =\left[\begin{array}{cc}-6\cdot (-6)+(-6)\cdot 5&-6\cdot (-6)+(-6)\cdot 5\\5\cdot (-6)+5\cdot 5&5\cdot (-6)+5\cdot 5\end{array}\right]=$