Answer:
Step-by-step explanation:
Can you please show us the image
A rational number<span> is any </span>number that can be expressed as the quotient or fraction. It is also a number that does not repeat and/or go on forever (ex. pi or <span>3.1415926535</span><span>)
Soo, the rational number is
the √49
√49 = 7 7 is a rational number, also a whole number as well, how bout that.</span>
Answer:
The inequality for
is:
![x\geq 142](https://tex.z-dn.net/?f=x%5Cgeq%20142)
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle =
ft
Perimeter is at least 300 ft
To write an inequality for
.
Solution:
Perimeter of a rectangle is given as:
⇒ ![2l+2w](https://tex.z-dn.net/?f=2l%2B2w)
where
represents length of the rectangle and
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒ ![2(x+5)+2(3)](https://tex.z-dn.net/?f=2%28x%2B5%29%2B2%283%29)
Using distribution:
⇒ ![2x+10+6](https://tex.z-dn.net/?f=2x%2B10%2B6)
Simplifying.
⇒ ![2x+16](https://tex.z-dn.net/?f=2x%2B16)
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒ ![2x+16\geq 300](https://tex.z-dn.net/?f=2x%2B16%5Cgeq%20300)
Solving for ![x](https://tex.z-dn.net/?f=x)
Subtracting both sides by 16.
⇒ ![2x+16-16\geq 300-16](https://tex.z-dn.net/?f=2x%2B16-16%5Cgeq%20300-16)
⇒ ![2x\geq284](https://tex.z-dn.net/?f=2x%5Cgeq284)
Dividing both sides by 2.
⇒ ![\frac{2x}{2}\geq \frac{284}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%5Cgeq%20%5Cfrac%7B284%7D%7B2%7D)
⇒
(Answer)
Answer:
1 2/3 inches.
Step-by-step explanation:
Volume = area of the base * height so:
20 = 3*4 * h
h = 20/12
h = 1 2/3 inches.
Answer: 31.5 square units
Explanation:
The area of the rectangle is length*width = 7*3 = 21 square units
The area of the triangle is 0.5*base*height = 0.5*7*3 = 10.5 square units
The combined area is 21+10.5 = 31.5 square units