Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
Answer:
10
Step-by-step explanation:
If the sides of the rectangle is 6cm and 8cm, then we mean that, the length and breadth are 6cm and 8cm
The diagonal which cross at AX will be the hypotenus of the triangle formed by drawing the diagonal.
Hence,
Hypotenus = sqrt (opposite² + adjacent²)
AX = sqrt[(8²) + (6²)]
AX = sqrt(64 + 36)
AX = sqrt(100)
AX = 10
6( x - 4) = 7
6 x - 24 = 7
6 x = 7 + 24
6 x = 31
x = 31/6
6 ( 31/6 - 4) = 7
186/6 - 24 = 7
186/6 = 144/6 = 7
42/6 = 7
7 = 7
Answer:
The solution region is x < –5 and x > 2
Step-by-step explanation:
We are given the inequalities, 2x–2 < –12 or 2x+3 > 7
Upon simplifying the inequalities, we get,
A. 
i.e. 
i.e. 
B. 
i.e. 
i.e. 
So, we get the solution is 
or 
and the plotted region can be seen below.
