5280 feet per 1 mile
40 times 5280=211200
211200 feet per hour
Answer:
The answer is "18".
Step-by-step explanation:
Amount of different methods a resident could get an advertisement:
Given:
The polynomial is
![5s^6t^2+6st^2-8s^6t^2-6t^7](https://tex.z-dn.net/?f=5s%5E6t%5E2%2B6st%5E2-8s%5E6t%5E2-6t%5E7)
To find:
The correct statement about the given polynomial.
Solution:
We have,
![5s^6t^2+6st^9-8s^6t^2-6t^7](https://tex.z-dn.net/?f=5s%5E6t%5E2%2B6st%5E9-8s%5E6t%5E2-6t%5E7)
On combining like term, we get
![=(5s^6t^2-8s^6t^2)+6st^9-6t^7](https://tex.z-dn.net/?f=%3D%285s%5E6t%5E2-8s%5E6t%5E2%29%2B6st%5E9-6t%5E7)
![=-3s^6t^2+6st^9-6t^7](https://tex.z-dn.net/?f=%3D-3s%5E6t%5E2%2B6st%5E9-6t%5E7)
Here, the terms are
. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of
terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
Given:
A rectangle has a length 5 meters more than five times the width.
The area of the rectangle is less than 100 meters squared.
To find:
The expression or inequality that represents all possible widths of the rectangle.
Solution:
Let x be the width of the rectangle.
Length of the rectangle is 5 meters more than five times the width.
![length=5x+5](https://tex.z-dn.net/?f=length%3D5x%2B5)
Area of rectangle is
![Area=length \times width](https://tex.z-dn.net/?f=Area%3Dlength%20%5Ctimes%20width)
![Area=(5x+5) \times x](https://tex.z-dn.net/?f=Area%3D%285x%2B5%29%20%5Ctimes%20x)
![Area=5x^2+5x](https://tex.z-dn.net/?f=Area%3D5x%5E2%2B5x)
The area of the rectangle is less than 100 meters squared.
![5x^2+5x](https://tex.z-dn.net/?f=5x%5E2%2B5x%3C100)
![5x^2+5x-100](https://tex.z-dn.net/?f=5x%5E2%2B5x-100%3C0)
Divide both sides by 5.
![x^2+x-20](https://tex.z-dn.net/?f=x%5E2%2Bx-20%3C0)
![x^2+5x-4x-20](https://tex.z-dn.net/?f=x%5E2%2B5x-4x-20%3C0)
![x(x+5)-4(x+5)](https://tex.z-dn.net/?f=x%28x%2B5%29-4%28x%2B5%29%3C0)
![(x+5)(x-4)](https://tex.z-dn.net/?f=%28x%2B5%29%28x-4%29%3C0)
It is true if one factor is negative and other is positive. So,
...(i)
...(ii)
Using (i) and (ii), we get
![-5](https://tex.z-dn.net/?f=-5%3Cx%3C4)
Therefore, the required expression or inequality for possible
widths of the rectangle is
.
Answer:
The volume of the ice sculpture is 6.561 cu yd.
Step-by-step explanation:
Given:
The shape of the ice sculpture is square pyramid
The Side length = 2.7 yards
To Find:
The volume of the ice sculpture = ?
Solution:
The volume of the square pyramid V = ![a^2 \frac{h}{3}](https://tex.z-dn.net/?f=a%5E2%20%5Cfrac%7Bh%7D%7B3%7D)
where a is the side length
h is the height
Here the height and the side are of same length as they are square pyramid
On Substituting the values, we get
V = ![(2.7)^2 (\frac{2.7}{3})](https://tex.z-dn.net/?f=%282.7%29%5E2%20%28%5Cfrac%7B2.7%7D%7B3%7D%29)
V = ![(2.7)^2 (0.9)](https://tex.z-dn.net/?f=%282.7%29%5E2%20%280.9%29)
V = (7.29)(0.9)
V = 6.561 Cubic yards