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Liula [17]
3 years ago
7

A rectangle's width is 1/3 its length and its perimeter is 40 m. find the dimensions of the rectangle

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0

Answer:

Length = 15m

Width = 5m

Step-by-step explanation:

w = 1/3l

p = 2l + 2/3l

40 = 2 2/3 l

l = 15

w = 1/3(15)

w = 5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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By exercising regularly, Abby was able to improve her running right this year. Last year, Abby ran a mile in 12 minutes. This ye
OleMash [197]

Answer:

She decreased her running time at a rate of 16.67%

Step-by-step explanation:

In this question, we are asked basically to calculate the percentage decrease in Abby’s running time.

Mathematically, the percentage decrease equals: (new running time - old running time)/old running time * 100%

We input the values and proceed as follows:

Percentage decrease = (10-12)/12 * 100

-2/12 * 100/1 = -1/6 * 100 = -16.67%

Since it’s a decrease, we just simply say that her running time decrease by 16.67%

4 0
3 years ago
Drag and drop formal proof. Prove the Polygon Exterior Angle Sum Theorem for the enclosed triangle, that is ∠1+∠2+∠3=360°
jasenka [17]

Answer:

The sum of all the external angles of a triangle is 360°.

Step-by-step explanation:

Let there are n sides in a polygon.

So, there are n internal angles in the polygon, let ∠i1, ∠i2, ∠i3, ..., ∠in are the measure of n internal angles of the polygon.

The measure of external angle corresponding to ∠i1,  ∠1= 180°-∠i1,

The measure of external angle corresponding to ∠i2, ∠2 = 180°-∠i2,

Similarly, the measure of external angle corresponding to ∠in, ∠n = 180°-∠in.

Now, the sum of all the external angles of the polygon,

(∠1+∠2+...+∠n)=(180°-∠i1)+(180°-∠i2)+...+(180°-∠in)

=(180°+180°+...n times)-(∠i1+∠i2+...+∠in)

=n x 180° - (∠i1+∠i2+...+∠in)

As ∠i1+∠i2+...+∠in is the sum of all the internal angles of the polygon.

So, the sum of all the external angles of the polygon =

(n x 180°) - (sum of all the internal angles of the polygon).

In the case of a triangle, n=3  and the sum of all the three internal angles, ∠i1+∠i2+∠i3 = 180°.

Therefore, the sum of all the external angles of a triangle,

∠1+∠2+∠3 =3x180°-(∠i1+∠i2+∠i3)

                 =540°=180°

                 =360°.

Hence, the sum of all the external angles of a triangle is 360°.

5 0
3 years ago
What is 60+90 in Distributive Property?
Gre4nikov [31]

Answer:

30(2+3)

Step-by-step explanation:

1) Find GCF of 60 and 90 (30)

2) Divide both by GCF

3) Put GCF in front of parentheses, then add quotients within the parentheses

8 0
2 years ago
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Help me please need answer and explained!!!!
Flauer [41]
Whatchu need help with?
5 0
3 years ago
Read 2 more answers
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
sergiy2304 [10]

After using the algebraic equation, the required value of x = 55/2.

WHAT IS ALGEBRIC EQUATION?
A mathematical statement wherein two expressions have been set equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases. Equations, or the equal sign, simply indicate equality. Equating each quantity with another is what equations are all about. Equations act as a scale of balance. If you've ever seen a balance scale, users know that for the scale to be deemed "balanced," an equal amount of weight must be applied to each side. The scale will tip to one side if we only add weight to one side, and the two sides will no longer be equally weighted.

(x-3)2 = 49

= x-3 = 49/2

= x = (49/2) + 3

= x = 55/2

So, the required value of x = 55/2.

To know more about algebraic equation click on the below given link

brainly.com/question/24875240

#SPJ1

4 0
11 months ago
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