Answer:
P, M, N and C are coplanar, because they are on the same plane.
Noncollinear, because they are not on the same line.
Hope this helps :)
Cross-multiply so that 8(3x + 1) = 14(2x)
Distribute the 8 and 14 into the parentheses:
24x + 8 = 28x
Subtract 24x from both sides:
8 = 4x
Divide both sides by 4:
x = 2
Answer:
15.71 ft
Step-by-step explanation:
Given that:
width of the circular track = 2.5ft
Suppose the radius of the inner circle is 57 ft since it is not given
Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft
The circumference of a circle = 2πr
For inner circle now, the circumference = 2 × π × 57 ft
For inner circle now, the circumference = 358.14 ft
For the outer circle, the circumference = 2 × π × 59.5 ft
For the outer circle, the circumference = 373.85 ft
The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn
∴
= ( 373.85 - 358.14 ) ft
= 15.71 ft
Solution of (6x + 2.4): 3 ⁵/₉ = 2.25 : ¹/₃ is 3.6
Further explanation
Order of Operations in Mathematics follow the following rule :
Parentheses
Exponents
Multiplication and Division
Addition and Subtraction
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate an operation that is in parentheses, followed by exponentiation, then multiplication or division, and finally addition or subtraction.
Answer:
£10,200
Step-by-step explanation:
Simple interest = principal × rate × time
Principal = £6000
Rate = 7% = 0.07
Time = 10 years
Simple interest = principal × rate × time
= £6000 × 0.07 × 10
= £4,200
Total = simple interest + principal
= £4,200 + £6,000
= £10,200
He would have to pay back a total of £10,200 in 10 years
