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notsponge [240]
4 years ago
7

the perimeter of am equilateral triangle is 7 inches more than perimeter of a square and the side of the triangle is 5 inches mo

re than the side of the square. find the side of the triangle​
Mathematics
2 answers:
Dmitry [639]4 years ago
8 0

Let t be the side of the triangle and s be the side of the square.

Let P_t be the perimeter of the triangle and P_s be the perimeter of the square.

We have the following relationship:

\begin{cases}P_t = P_s+7\\t=s+5\\P_t = 3t\\P_s=4s\end{cases} \implies \begin{cases}3t=4s+7\\t=s+5\end{cases} \implies 3(s+5)=4s+7 \implies s=8

Which finally implies

t=s+5=13

PIT_PIT [208]4 years ago
6 0

Answer:

Side of triangle =  13 inches

Step-by-step explanation:

Let side of square be x inches.

Perimeter of square = 4*side = 4x   --------->1

side of triangle = x+5  { the side of the triangle is 5 inches more than the          side of the square. }

Perimeter of triangle = 3*side

                                   = 3 * (x+5)  =3x + 15 -------->2

The perimeter of an equilateral triangle is 7 inches more than perimeter of a square.

             3x + 15 - 4x = 7

                 3x -4x     = 7-15

                         -x     = - 8

x= 8

Side of a square = 8 inches.

Side of triangle = x + 5 = 8 + 5 = 13 inches

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7 0
3 years ago
the perimeter of a triangle is 12cm. which one of the following is not possible sides of a trianglr? a)1 b)5 c)6 d)none of thish
Phantasy [73]

Perimeter of triangle = 3(side)

P = 3(s)

12 = 3s

12/3 = s

4 = s

I think there is a typo in your post.

The question should be: WHICH ONE OF THE FOLLOWING IS A POSSIBLE SIDE OF THE TRIANGLE?

In that case, 4 cm is the answer. However, 4 cm is not listed among the choices. So, choice d is the answer.

7 0
4 years ago
‼️ help with all these questions 20pts + brainliest ‼️
eimsori [14]

Answer:

1) Slope-intercept form

2) 9200

3) 2 months

4) (0,200)

Step-by-step explanation:

A shelter had 200 animals in foster homes at the beginning of spring and the number of animals in foster homes at the end of the summer could be represented by  

y=3000x+200 ............ (1)

Where x is the number of months and y is the number of animals.

1) The equation (1) is written in the slope-intercept form of a straight line equation.

2) After 3 months means x = 3 and the number of animals in the foster home after 3 months will be (3000 ×3 + 200) = 9200 (Answer)

3) Let after x months the animal population will become 6200.

So, 6200 = 3000x + 200

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5 0
3 years ago
Two vertical buildings 57 meters apart are 158 meters and 237 meters high. Find the angle of elevation from the top of the short
miskamm [114]

Given :

Two vertical buildings 57 meters apart are 158 meters and 237 meters high.

To Find :

The angle of elevation from the top of the shorter building to the top of the taller building.

Solution :

Distance between height of building, h = 237 - 158 = 79 m.

Distance between these building , d = 57 m.

Now,

tan\ \theta = \dfrac{h}{d}\\\\tan\ \theta = \dfrac{79}{57}\\\\tan\ \theta = 1.386\\\\\theta = tan ^{-1} 1.386\\\\\theta = 54.19^{\circ}

Therefore, the angle of elevation from the top of the shorter building to the top of the taller building is 54.19°.

Hence, this is the required solution.

4 0
3 years ago
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