All categories

3 years ago

A rectangle is divided into 8 equal parts. Two parts are shaded. What fraction is equvalent to the shaded area of the rectangle.

Mathematics

1 answer:

vredina [299]3 years ago

8 0

Answer: 1/4

Step-by-step explanation:

Since the rectangle is divided into 8 equal parts and two parts are shaded, this simply means that 2 out of 8 parts are shaded which is 2/8.

The fraction that's equvalent to the shaded area of the rectangle will be:

2/8 = (2 × 1) / (2 × 4) = 1/4

The equivalent fraction is 1/4

You might be interested in

m∠R = 60, m∠S = 80, m∠F = 60, m∠D = 40, . Are the two triangles congruent? If yes, explain and tell which segment is congruent t

Lynna [10]

The correct answer is in file attached
we have

triangle RST
m∠R = 60, m∠S = 80 and m∠T=180-(80+60)=40 RS=4
triangle EFD
m∠F = 60, m∠D = 40 and m∠E=180-(60+40)=80
EF=4

Therefore
The triangles RST and EFD are congruents because they have two angles and the side common to them, respectively, equal.
This is the theorem of ASA (angle-side-angle).
Explication
Side common--------> RS=EF
Angles RS------------- > m∠R = 60 m∠S = 80 
Angles EF------------- > m∠E = 80 m∠F = 60 
Angles RS and Angles EF are equals

The segment which is congruent to RT is FD, because angles of RT are 60 and 40, and angles of FD also are 60 and 40.

8 0

3 years ago

Which system of equations is equivalent to the system of equations shown?

Ivanshal [37]

I can solve for x and y
A) 2x - 4y = 12
A) 2x = 4y + 12
A) x = 2y + 6
Substituting into B
B) 3* (2y +6) - 5y = 20
B) 6y + 18 -5y = 20
B) y = 2
B) x = 10

4 0

4 years ago

What are the solutions of -x + 4x = X-4?

julsineya [31]

Answer: x = -2

Step-by-step explanation:

-x + 4x = x - 4

=> 3x = x - 4

=> 3x - x = -4

=> 2x = -4

=> x = -2

5 0

4 years ago

Read 2 more answers

Solve the matrix equation by using inverse matrices.

STALIN [3.7K]

Answer:

x=-7, y=2

Step-by-step explanation:

You are given the matrix equation

$\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right] \cdot \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-18\\13\end{array}\right]$

Find the inverse matrix for the matrix

$\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]$

1. The determinant is

$\left|\left[\begin{array}{cc}2&-2\\-1&3\end{array}\right]\right|=2\cdot 3-(-1)\cdot (-2)=6-2=4$

$a_{11}=2 \Rightarrow A_{11}=3\\ \\a_{12}=-2 \Rightarrow A_{12}=-(-1)=1\\ \\a_{21}=-1 \Rightarrow A_{21}=-(-2)=2\\ \\a_{22}=3 \Rightarrow A_{22}=2$

3. Inverse matrix is

$\dfrac{1}{4}\left[\begin{array}{cc}3&1\\2&2\end{array}\right]^T=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]$

So, the solution of the equation is

$\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{cc}3&2\\1&2\end{array}\right]\cdot \left[\begin{array}{c}-18\\13\end{array}\right]=\\ \\=\dfrac{1}{4}\left[\begin{array}{cc}3\cdot(-18)+2\cdot 13\\1\cdot (-18)+2\cdot 13\end{array}\right]=\dfrac{1}{4}\left[\begin{array}{c}-28\\8\end{array}\right]=\left[\begin{array}{c}-7\\2\end{array}\right]$

8 0

3 years ago

Please help! ASAP! I will give brainliest!

krek1111 [17]

Answer:

Step-by-step explanation:

5 0

3 years ago