What is the range of possible sizes for sides x 3.2 and 5.5

The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec

miskamm [114]

The correct option will be : B) 6 cm.

Explanation

Suppose, the width of the rectangle is $x$ cm.

As, the length is 6 cm longer than the width, so the length will be: $(x+6) cm.$

Formula for the Area of rectangle is: $(Length)*(Width)$

Given that, the area of a rectangle is 72 cm²

So....

$x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0$

Using zero-product property, we will get...

$x+12=0\\ x= -12$ (Negative value is ignored as width can't be negative)

and

$x-6=0\\ x=6$

So, the width of the rectangle is 6 cm.

6 0

3 years ago

What is the circumference of the circle if r = 3,5 feet?

Nady [450]

Answer:

21.98

Step-by-step explanation:

C=2πr C=2d are the formulas of circumference so that would mean the diameter of the circle is 7 since 2 times the radius is the diameter. We then multiply the diameter 7 by PI to get 21.98

8 0

3 years ago

In A ABC, side AB is included between angles A and C angles B and C angles A and B

Artist 52 [7]

Answer:

angles A and B

Step-by-step explanation:

the side of a triangle is denoted by naming with its vertices that are joined in forming the side. so here vertices A and B are included for side AB.

∴ The angles included are A and B

4 0

3 years ago

Somebody explain pls!!!!!

Furkat [3]

Step-by-step explanation:

Using log properties

$log_{7}(rz {}^{12} )$

$log_{7}(r) + log_{7}(z {}^{12} )$

Then

$log_{7}(r) + 12 log_{7}(z)$

Plug in the knowns

$- 7.87 + 12( - 12.59)$

$- 158.95$

5 0

1 year ago

Eric has 183 coins all of them are nickels and dimes. If the total value of the coins is 14.45, how many of each denomination co

FromTheMoon [43]

Answer:

77 nickels

106 dimes

Step-by-step explanation:

Let there be n nickes and d dimes

Since there are 183 coins, we can write:

n + d = 183

Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:

0.05n + 0.1d = 14.45

Solving 1st equation for n, we have:

n = 183 - d

Putting this into 2nd equation and solving for d:

$0.05n + 0.1d = 14.45\\0.05(183-d) + 0.1d = 14.45\\9.15-0.05d+0.1d=14.45\\0.05d=5.3\\d=106$

There are 106 dimes

Since, n = 183 - d

n = 183 - 106

n = 77

There are 77 nickels

4 0

3 years ago