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3 years ago

the length of a rectangle is 4 meters longer than the width. if the area is 22 square meters , find the rectangle dimension

Mathematics

1 answer:

Readme [11.4K]3 years ago

7 0

Let breadth be x

Length=x+4

We know

$\boxed{\sf Area_{(Rectangle)}=Length\times Breadth}$

$\\ \sf\longmapsto x(x+4)=22$

$\\ \sf\longmapsto x^2+4x=22$

$\\ \sf\longmapsto x^2+4x-22=0$

By solving

$\\ \sf\longmapsto x=-2\pm\sqrt{26}$

It doesnot have any real roots

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Please help me with this!!!

RSB [31]

The answer that you have is most likely right, since the grouping did not change.

4 0

3 years ago

Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the

Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle $ABCD$ as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}$

$Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}$

4 0

3 years ago

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain

horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

= 48 + 32

= 80

N (Y) = n (Y) + n (Y')

= 72 + 18

= 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

$P(X'\cap Y)=P(X')\times P(Y)$

$=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32$

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

7 0

3 years ago

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

Nady [450]

Do you notice anything strange about those points ?

(0, 1),
(1, 2),
(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the power of the x-coordinate.

First point:   x=0, y=2⁰ = 1
Second point: x=1, y=2¹ = 2
Third point:    x=2, y=2² = 4
Fourth point: x=3, y=2³ = 8

The equation of the curve appears to be

   y = 2 ^ x .

So, after 10 hours, x=10, and y = 2¹⁰ = 1,024 .

3 0

3 years ago

Read 2 more answers

If you have 2 gallons of juice, how many quarts do you have

Alexeev081 [22]

Answer:

Yessssir OwO UnU UwU TwT =.= -.- :p :3 :c c: Ahhhh OOPS I GOT TOO DISTRACTED TO ANSWER UR QUESTION... if u have 2 gallons of juice u will have 8 quarts.

Step-by-step explanation:

dis is becuzzzz 4 quarts equal a gallon

so now times it by 2 by 2 because were doing 2 gallons not just one misssy :3

hope that helped bye byeessss UwU

6 0

3 years ago