Answer:
1. b > -2
2. x <= 3
Step-by-step explanation:
Question 1:
-2(b + 5) < -6
Divide both sides by -2. Remember to change the inequality sign.
b + 5 > 3
Subtract 5 from both sides.
b > -2
Question 2:
-(x - 10) >= 7
Divide both sides by -1. Remember to change the inequality sign.
x - 10 <= -7
Add 10 to both sides.
x <= 3
To find the surface area you will find the area of each flat surface or each face.
The faces are in the shape of a rectangle , so multiply the length by the width.
A = lw
Front/ Back-3 1/2 x 3 1/3 = 11 2/3 ft.²
Sides- 3 1/3 x 3 1/3 = 11 1/9 ft.²
Top/bottom - 3 1/2 x 3 1/3= 11 2/3 ft.²
Add together to get the total surface area.
11 1/9+11 1/9+11 2/3+11 2/3+11 2/3+11 2/3 = 68 8/9 ft.²
The total surface area is 68 8/9 ft.².
Answer:
-0.03571428571
Step-by-step explanation:
Answer:
8 feet
Step-by-step explanation:
Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.
Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.
- 2(2 1/3) + 2(1 3/4) = perimeter of rectangle
To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.
Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.
- 2(7/3) + 2(7/4)
- 14/3 + 14/4
To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.
- 14/3 (4/4) = 56/12
- 14/4 (3/3) = 42/12
Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.
You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.
The perimeter of the rectangle is 8 feet.
