All categories

3 years ago

Principal root of 144

Mathematics

2 answers:

Alex Ar [27]3 years ago

6 0

√144 = √12^2 = 12

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

iogann1982 [59]3 years ago

5 0

It is 12 i am pretty sure

You might be interested in

Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result

Vaselesa [24]

Complete Question:

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

Correct Answer:

A) $(10-x)(12-x)=15$

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

Step-by-step explanation:

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

$length=10-x\\breadth=12-x$

According to question , Area of new image is :

⇒ $Area = \frac{1}{8}Length(breadth)$

⇒ $Area = \frac{1}{8}(10)(12)$

⇒ $Area = 15$

So the equation will be :

⇒ $(10-x)(12-x)=15$

b. Find the dimensions of the reduced image

Let's solve : $(10-x)(12-x)=15$

⇒ $120-10x-12x+x^2=15$

⇒ $120-22x+x^2=15$

⇒ $x^2-22x+105=0$

By Quadratic formula :

⇒ $x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $x = \frac{22 \pm8 }{2}$

⇒ $x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}$

⇒ $x = 15 , x =7$

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ $x =7$

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

5 0

3 years ago

What is the slope of the line determined by the points (5,-3) and (-9,-6)

Serggg [28]

Answer:

slope = $\frac{3}{14}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (- 9, - 6)

m = $\frac{-6+3}{-9-5}$ = $\frac{-3}{-14}$ = $\frac{3}{14}$

6 0

3 years ago

How to solve long division by using long division 711.9 divided by 8.4

harkovskaia [24]

Multiply both 711.9 and 8.4 by 10 which will remove the decimal point.
and make the calculation much more easier
the required answer would be 84.75

5 0

3 years ago

What is the area of a flour tortilla that has a 14-centimeter radius?

kykrilka [37]

The formula for the area of a circle is
$\pi {r}^{2}$
so you simply plug your value for radius into the equation!
$\pi {(14)}^{2}$
Square 14
$196\pi$
And Multiply by pi!
615.75 cm^2 approximately!
I hope this helps!

5 0

3 years ago

Please help me it would mean the world. Extra points!

tensa zangetsu [6.8K]

A = ((B+b)*h)/2
A = ((6+4)*3)/2
A = 15

7 0

3 years ago