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Julli [10]
3 years ago
14

What is the length of a rectangle whose perimeter is 140 ft if its width-to-length is 2 : 5

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

50 ft.

Step-by-step explanation:

It is given that the ratio of width-to-length is 2 : 5.

Let,

Width = 2x ft

Length = 5x ft

Perimeter of the rectangle is

Perimeter=2(lenght+width)

Perimeter=2(5x+2x)

Perimeter=2(7x)

Perimeter=14x

It is given that the perimeter of the rectangle is 140 ft.

14x=140

Divide both sides by 14.

x=10

The value of x is 10.

Length=5x=5\times 10=50

Therefore, the length of the rectangle is 50 ft.

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Does 2, 5, and 7 make a right triangle
MakcuM [25]

Answer:  No, we don't have a right triangle

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

Explanation:

If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.

Here we have a = 2, b = 5 and c = 7.

So...

a^2+b^2 = c^2

2^2+5^2 = 7^2

4+25 = 49

29 = 49

The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do <u>not</u> have a right triangle.

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

In contrast, consider the classic 3-4-5 right triangle

a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).

6 0
3 years ago
What is the correct answer to this multiple choice question? Please help!!!
dybincka [34]

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

\pi / 2

That's just the equivalent to 90 degrees in radians.

8 0
3 years ago
(-10,2) (-5,-1) find mid point
zmey [24]

The Mid - point of the line segment is at coordinates -  M(- 7.5, 0.5)

We have two coordinate points -  A(- 10, 2)  and  B(- 5, -1)

We have to find the midpoint of this line AB.

<h3>What is Mid - Point Theorem?</h3>

It states that a line with endpoint coordinates as - (x_{1} ,y_{1} ) and (x_{2} ,y_{2} ) has its mid - point at the coordinates -

(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{(y_{1} +y_{2} )}{2} )

According to question, we have -

First coordinate Point -  (x_{1} ,y_{1} ) = (- 10, 2)

Second coordinate Point - (x_{2} ,y_{2} ) = (- 5, - 1)

Using the Mid - Point formula, we get -

(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) =

x_{M} = \frac{-10-5}{2} = \frac{-15}{2} = - 7.5\\\\y_{M} = \frac{2 - 1}{2}  = \frac{1}{2} = 0.5

Hence, the Mid - point of the line segment is at coordinates -

M(- 7.5, 0.5)

To solve more questions on Mid - points, visit the link below -

brainly.com/question/25377004

#SPJ1

5 0
1 year ago
11 ft
Genrish500 [490]

Answer:

To find the area of a parallelogram you do base times hight so I'm thinking you would do 11×5 to get 55. if not then sorry

4 0
3 years ago
PLEASE HELP ME<br> EXTRA POINTS
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