Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: and
What’s the question
Answer:
I. Base area = 35 cm²
II. Volume of rectangular prism = 350 cm³
Step-by-step explanation:
Given the following data;
Length = 7cm
Breadth = 5cm
Height = 10cm
a. To find the base area of the rectangular prism;
Base area = length * breadth
Base area = 7 * 5
Base area = 35 cm²
b. To find how much it takes to fill the rectangular prism, we would need to determine its volume.
Volume of rectangular prism = length * breadth * height
Volume of rectangular prism = 7 * 5 * 10
Volume of rectangular prism = 350 cm³
c. To find the answers to the other part of the question, we would determine the capacity of the prism in litres.
Capacity = volume in cm³ to litres
1 centimeter = 0.001 litres
Capacity = 350 * 0.001
Capacity = 0.35 litres.
1. The 2nd number line represents the inequality.
Explanation:
In words, the inequality reads "negative six is less than x, which is less than or equal to two". On the number line, the open circle at negative six means that -6 is not a solution to the inequality: -6 < x. The point at positive two means that positive two is a solution to the inequality: x ≤ 2. Therefore, all numbers greater than -6 and less than or equal to +2 are solutions to the inequality. This is shown on the second number line.
2. False
Explanation:
In words, the inequality reads "x is less than negative five". This means that all numbers less than -5 are solutions to the inequality. Positive four is not less than negative five, so it is not a solution to the inequality.
3. x > 2
Explanation:
To solve the inequality, we have to move all the terms that do not contain x to one side. This inequality is simple because it only requires one step: subtraction.
Solve for x: x + 3 > 5
1. Subtract 3 from both sides to get x by itself:
x + 3 - 3 > 5 - 3
2. Simplify
x > 2
<u>Statement </u> <u>Reason</u>
1. AB = x + 16 1. Given
BC = 4x + 11
AC = 77
2. AB + BC = AC 2. Segment Addition Postulate
3. x + 16 + 4x + 11 = 77 3. Substitution Property
4. 5x + 27 = 77 4. Simplification <em>(added like terms)</em>
5. 5x = 50 5. Subtraction Property of Equality
6. x = 10 6. Division Property of Equality
7. AB = 10 + 16 7. Substitution Property
8. AB = 26 8. Simplification <em>(added like terms)</em>