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Nesterboy [21]
3 years ago
11

The perimeter of a triangle is 70 in. The shortest side is 11 in. less than the longest side. The middle side is 24 in. less tha

n the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

Answer:

The sides are

6

inches,

8

inches and

10

inches

Explanation:

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

In this case the question can be answered. If

x

is the length of the middle side, then the shortest side is 3/4x and the longest side is 3/4x+4

x+3/4x+3/4x+4=24

10/4x=20

x=8

Then the shortest side is 6and the longest side is 10

Step-by-step explanation:

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Among all rectangles that have a perimeter of 176, find the dimensions of the one whose area is largest. write your answers as f
maria [59]
To get the largest area, the length and the width have to be as close as possible, if not the same.

Given Perimeter = 176 unit.
Length = 176 ÷ 4 = 44 units

Area = Length x Width
Area = 44 x 44 = 1936 units²

1936 units² is the largest possible area, given that the perimeter is 176 units. The dimension being 44 by 44
8 0
3 years ago
Read 2 more answers
Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?
nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.  

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

4p+3e=0.37

David bought 3 pencils and 4 erasers, spending

3p+4e=0.33

The system of equations is written in the form

\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.

Adding both equations:

7e=0.21  

e=0.03

Multiplying the first one by -4 and the second by 3

\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.

Adding both equations:

-7p=-0.49

p=0.07  

Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0
3 years ago
Help me with this question
Law Incorporation [45]

greatest to least: 6.32, 6, 4.27, 4, 3.5 .

I got 4.27 by multiplying 4 x 11, adding three which makes it 47 and then divided it by 11

6 0
3 years ago
Find area of triangle round to nearest tenth
Leno4ka [110]

Answer:

Step-by-step explanation:

area = 1/2ab sin (angle)

area = 1/2(9.5)*(23)*sin(85)

area = 19.24 yards

8 0
3 years ago
What’s the answer???
Ksivusya [100]
X=-12 that's the answer
7 0
3 years ago
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