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Sergeeva-Olga [200]
2 years ago
15

A wire with a length of 100 cm is cut into three parts. The length of wire of the first and second parts are the same. The lengt

h of the third part of the wire exceeds the sum of the first two parts by 4 cm. Calculate the length of each part.​
Mathematics
1 answer:
dsp732 years ago
8 0

The first two pieces are the same, let each of those equal x, so you have x + x = 2x

The 3rd piece is the sum of the first two + 4, so this would be 2x + 4

Now you have 2x + 2x + 4 = 100 cm

Combine like terms:

4x +4 = 100

Subtract 4 from both sides

4x = 96

Divide both sides by 4

X = 24

First piece is 24 cm

Second piece is 24 cm

Third piece is 52 cm

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kati45 [8]

Answer:

use the pythagoras theorem ok for 3rd side

i.e. (5.6)²+(3.9)²=c²

7 0
3 years ago
The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
marissa [1.9K]
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}  =  \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}

x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}
D_{AB}= \sqrt{(3)^2+(-1)^2}
D_{AB}= \sqrt{9+1}
D_{AB}= \sqrt{10}

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×\sqrt{10}

The answer is (2)

8 0
3 years ago
Please help me in this!!!!!!
TEA [102]

Answer:

Lower (or First) Quartile = 15

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
C/5 - 4= -3 pls help!
olya-2409 [2.1K]

Answer:

The value of c from the equation is 5.

Step-by-step explanation:

c/5 - 4 = -3

Add 4 to both sides of the equation.

c/5 = 1

Multiply both sides by 5 to get c by itself.

c = 5

4 0
3 years ago
Read 2 more answers
Help fastttt please!!!!! When making a pie chart for this data, what percentage of the dresses would the sector label "Blue" inc
lbvjy [14]

Answer:

14%

Step-by-step explanation:

First find the total for all the dresses.

Total = 14 + 37 + 22 + 56 + 33

Total = 162

Now you are concerned about the blue dresses.

% = (22 / 162)  * 100 = 13.58 %

Rounded to the nearest % it would be 14%

The number of degrees it would occupy in the pie chart would be 360 * 14/100 = 49 degrees.

4 0
2 years ago
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