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zimovet [89]
2 years ago
5

A rectangular shelf has an area of 40 square inches. Its perimeter is 28 inches. What are the dimensions of the shelf?

Mathematics
1 answer:
Reptile [31]2 years ago
7 0

Answer:

4 by 10

Step-by-step explanation:

4 times 10 is 40 (length times width)

4+4+10+20=28

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Lines a and b are parallel. Find the measure of each angle. Angle 8 is 113 degrees
pentagon [3]

Answer:

angles 1 4 and 5 are all equal to 113 and angles 2 3 6 and 7 equal 67

3 0
3 years ago
One number is 3 more than another. The product of the number is 54 . Find the numbers.
Mice21 [21]

Answer:

6 and 9

Step-by-step explanation:

set up an equation and solve for x

(x+3) * x = 54

easiest way to to try some numbers.

if you know your multiplication tables...

what two number multiplied together are 54

be sure the numbers you are thinking of meet the rules

is one 3 more than the other

do they multiply together to get 54

6 0
3 years ago
Select another name for angle 2 in the figure below.
Anna [14]

Answer:

Angle CAB

Step-by-step explanation:

Find the points that correspond to angle 2 and name them in order.

7 0
3 years ago
Find a fraction equivalent to 5/7 whose squared terms add up to 1184.
bogdanovich [222]

The system of equations of two unknowns is formulated and solved.

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y  } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}

                                                              \large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \  \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28  } \end{gathered}$}

                                                                  \large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20  } \end{gathered}$}

The fraction that satisfies the request is \bf{\dfrac{20}{28}} , since in \bf{\dfrac{-20}{-28}} the negative signs are canceled and the first fraction is obtained.

3 0
1 year ago
Ade and ola share a sum of 400 naira in the ratio 3:5. find the amount ade received.​
Stells [14]

Answer:

150 Naira

Step-by-step explanation:

3 + 5 = 8

Since Ade receives in a 3 to 5 ratio, Ade receives 3/8 of the total.

3/8 × 400 = 150

Answer: 150 Naira

8 0
1 year ago
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