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svet-max [94.6K]
3 years ago
15

Rashau made a rectangular frame for her latest oil painting. The length is 28 centimeters more than triple the width. The perime

ter of the frame is 136 centimeters. Find the length and the width of the frame
Mathematics
1 answer:
postnew [5]3 years ago
5 0
The length is about 28 more than three times the width. Denoted as (a) width, and as (b) the length. Then move on to lay the system of equations, as done below:

\begin{cases}2a+2b=136\\b=3a+28\end{cases}
\begin{cases}2a+2b=136|:2\\b=3a+28\end{cases}
\begin{cases}a+b=68\\b=3a+28\end{cases}
\begin{cases}a+3a+28=68\\b=3a+28\end{cases}
\begin{cases}4a=40|:4\\b=3a+28\end{cases}
\begin{cases}a=10\\b=3*10+28\end{cases}
\begin{cases}a=10\\b=58\end{cases}

The short side has a length of 10 cm, and 58 cm long.
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Write 125 as a repeated multiplication 5s. Then write it as a power.
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Answer:

125 = 5 * 5 * 5 = 5^3

Step-by-step explanation:

125 is equal to 5 times 5 times 5, and a power is a way to write repeated multiplication, just by saying what number it is and the putting a ^ sign and then saying how many times there is that number. There is 5 three times, so the power is 5^3.

7 0
3 years ago
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Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53
Elan Coil [88]

Answer:

C) 7

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

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

7 0
3 years ago
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What is the first step in constructing an inscribed circle inside triangle XYZ?
Tasya [4]

Answer:

Construct the angle bisector of angle Y

Step-by-step explanation:

-An inscribed circle is defined as the largest circle that can be drawn within the boundaries of a plane figure.

-The first step in constructing an inscribed circle is to bisect any two angles of the plane figure, triangle in this case, as there intersection point will form the circle's center.

=>Hence, the first step is Construct the angle bisector of angle Y or Z or X( whichever you decide on).

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Divide 2.875x10^6by2.3x10^3
DerKrebs [107]

Answer:

1875L = 1.875x10^6 mL

multiply by density to get 2.14x10^6

multiply by percentage to get 6.63x10^4 g of NaCl (66.3 kg)

Step-by-step explanation:

8 0
3 years ago
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Pls help will be epik
DiKsa [7]
13 units.

Since both are negative, and they’re just asking for distance between, you can just subtract 12 from 25 to get 13.

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3 years ago
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