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lesya [120]
3 years ago
11

Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of th

e triangle is 13 m. What are the lengths of the three​ sides?
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

4m, 4m, and 5 m

Step-by-step explanation:

From the information give;

  • Two sides of a triangle are equal in length
  • The third side is 3 m less than the common length
  • Perimeter of the rectangle is 13 m

We are required to determine the dimensions of the triangle;

  • Assuming the common sides are x m each
  • Then, the third side will be (2x-3) m
  • Perimeter of a triangle is equal to the sum of the lengths of the three sides

Therefore;

(2x-3) + x + x = 13 m

4x - 3 = 13m

4x = 16 m

x = 4 m

and, 2x-3 = 5 m

Therefore, the lengths of the three sides of the triangle are 4m, 4m, and 5 m

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Answer:

hosta=11 ivy=9

Step-by-step explanation:

Logically thinking... $20 for 1 h and 1 i

So I would say $11 H and $9 I

3 0
2 years ago
S= 2m +2u <br><br> solve for m
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M =0 if you put it in y= and hit 2nd graph and go down to the 0 there is a 1 with means m =0  (ti-84+ caculater)  
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3 years ago
In a village the number number of houses and flats are in a a ration 9:5
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Answer:

180 houses

Step-by-step explanation:

The 3 part of the ratio 10 : 3 represents 30 bungalows, thus

30 ÷ 3 = 10 ← value of 1 part of the ratio

10 parts = 10 × 10 = 100 ← number of flats

The 5 part of the ratio 9 : 5 represents 100 flats, thus

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8 0
3 years ago
A scientist studying earth's rotation determines that a specific location on earth's equator travels about 40,000 kilometers in
Mama L [17]

Answer:

Step-by-step explanation:

Discussion

The first thing you have to do is convert km to miles

Formula

1 mile = 1.6 km

x mile = 40000 km              Cross Multiply

Solution

1.6*x = 1 * 40000                  Divide by 1.6

x = 40000/1.6

x = 25000 miles

             

Answer Part 1

The distance covered is 25000 miles

Discussion Part 2

That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.

Givens

d = 25000 miles

t = 24 hours

s = ?

Solution

s = d/t

s = 25000 / 24

s = <u>1041.66 </u> miles per hour

Answer: 1041.66 is what is to be entered as your answer

7 0
2 years ago
Ex 3.6<br> 6. find the area enclosed between the curve y= -2x²-5x+3 and the x-axis
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When y=0,

-2{ x }^{ 2 }-5x+3=0\\ \\ 2{ x }^{ 2 }+5x-3=0\\ \\ \left( 2x-1 \right) \left( x+3 \right) =0

\\ \\ \therefore \quad x=\frac { 1 }{ 2 } \\ \\ \therefore \quad x=-3

--------------------

\int _{ -3 }^{ \frac { 1 }{ 2 }  }{ -2{ x }^{ 2 } } -5x+3dx

\\ \\ ={ \left[ -\frac { { 2x }^{ 2+1 } }{ 2+1 } -\frac { 5{ x }^{ 1+1 } }{ 1+1 } +3x \right]  }_{ -3 }^{ \frac { 1 }{ 2 }  }

\\ \\ ={ \left[ -\frac { 2{ x }^{ 3 } }{ 3 } -\frac { 5{ x }^{ 2 } }{ 2 } +3x \right]  }_{ -3 }^{ \frac { 1 }{ 2 }  }

\\ \\ \\ =\left\{ -\frac { 2 }{ 3 } { \left( \frac { 1 }{ 2 }  \right)  }^{ 3 }-\frac { 5 }{ 2 } { \left( \frac { 1 }{ 2 }  \right)  }^{ 2 }+3\left( \frac { 1 }{ 2 }  \right)  \right\} -\left\{ -\frac { 2 }{ 3 } { \left( -3 \right)  }^{ 3 }-\frac { 5 }{ 2 } { \left( -3 \right)  }^{ 2 }+3\left( -3 \right)  \right\}

\\ \\ \\ =-\frac { 2 }{ 3 } \cdot \frac { 1 }{ 8 } -\frac { 5 }{ 2 } \cdot \frac { 1 }{ 4 } +\frac { 3 }{ 2 } -\left\{ -\frac { 2 }{ 3 } \left( -27 \right) -\frac { 5 }{ 2 } \cdot 9-9 \right\}

\\ \\ =-\frac { 2 }{ 24 } -\frac { 5 }{ 8 } +\frac { 3 }{ 2 } -\left\{ \frac { 54 }{ 3 } -\frac { 45 }{ 2 } -9 \right\}

\\ \\ =-\frac { 2 }{ 24 } -\frac { 15 }{ 24 } +\frac { 36 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +9

\\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +\frac { 18 }{ 2 } \\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 63 }{ 2 }

\\ \\ =\frac { 343 }{ 24 }

Answer: 343/24 units squared.
6 0
3 years ago
Read 2 more answers
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