Answer:
<u>The correct answer is A. 1.5w² + 5w + 4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the portrait = 1.5 times its width in inches
Frame = 2 inches all along its perimeter
2. What is an expression for the area of the framed portrait in terms of w?
Let's recall that the area of a rectangle is length or height * width.
A = height * width
Now, we can replace in terms of w:
A = 1.5w * w
But we need to add the 2 inches of the frame, this way:
A = (1.5w + 2) * (w + 2)
A = 1.5w² + 2w + 3w + 4
<u>A = 1.5w² + 5w + 4</u>
<u>The correct answer is A. 1.5w² + 5w + 4</u>
The sets for each of the given numbers are:
- 6426: Real, rational, integer and whole.
- √7: Real and irrational.
- 2π: Real and irrational.
- 4.0: Real, rational, integer, whole.
- √(25/36): Real and rational.
- -√16: Real, rational, and integer.
- -35: Real, rational, and integer.
- -31.8: Real and rational.
<h3>
To which set each number belong?</h3>
Here we need to identify 3 sets
- Rational numbers: all of these that can be written as a quotient of two integers.
- Irrational numbers: all of these that can't be written as a quotient of two integers.
- Integers: Any number that can be got by adding or subtracting ones.
- Whole numbers: All the integers equal or larger than 0.
- Real number: any of the above is a real number.
The first number is:
6426
It can be rewriten to:
6426/1
So this is: Real, rational, integer, and whole number.
Second number:
√7
This is a real and irrational number (square roots of non-square numbers are irrational numbers).
Third number:
2π
This is a real and irrational number, because π is irrational.
Fourth number:
4.0
This is: Real, rational, whole, and integer.
Fifth number:
√(25/36)
We can simplify that to:
√(25/36) = 5/6
So this is a real and rational number.
Sixth number:
-√16 = -4
That is a: Real, rational, and integer number
Seventh number:
-35
Same as the above one, real, rational, and integer.
Eight number:
-31.8
It can be written as:
-31.8 = -318/10
So this is real and rational number.
If you want to learn more about rational and irrational numbers:
brainly.com/question/12088221
#SPJ1
Answer:
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
<u>Steps of calculation:</u>
- 7 + 1 - 18 : 6 =
- 7 + 1 - 3 =
- 8 - 3 =
- 5
Answer is 5
Answer:
![\frac{2\pi}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7B5%7D)
Step-by-step explanation:
To convert from degrees to radians you multiply by ![\frac{\pi}{180}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B180%7D)
![\frac{72 \pi}{180} = \frac{2 \pi }{5}](https://tex.z-dn.net/?f=%5Cfrac%7B72%20%5Cpi%7D%7B180%7D%20%3D%20%5Cfrac%7B2%20%5Cpi%20%7D%7B5%7D)