The option (D) 126° + (720n)°, for any integer n is correct for any integer n.
Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have an angle of 126 degree
As we know from the definition of the coterminal angle.
If any angle θ the coterminal angles are:
= θ + 360n (for any integer n)
Plug n = 2n
= θ + 720n (for any integer n)
Also represents the coterminal angle.
Thus, the option (D) 126° + (720n)°, for any integer n is correct for any integer n.
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Answer:
The area of one rectangle is 15 cm²
Step-by-step explanation:
The given parameters are;
The area of the square = 64 cm²
The length of the rectangles = 5 cm
The formula for the area of a square = (Side length)² = S²
Therefore, whereby the side length of the given square = S, we have;
Area of the square = 64 = S × S = S²
S = √(64 cm²) = 8 cm
The side length of the square = 8 cm
The perimeter of a square = The length of the string = Side length × 4 = 8 cm × 4 = 32 cm
∴ The perimeter of a square = The length of the string = 32 cm
The length of the string = The perimeter of the two congruent rectangle = 32 cm
Therefore;
The perimeter of each rectangle = 32/2 cm = 16 cm
Given that the length, L of the side of each rectangle is L = 5 cm, we have;
The perimeter of a rectangle = 2 × L + 2 × W
Where;
W = The width
The perimeter of the rectangle = 16 = 2 × 5 + 2 × W
2 × W = 16 - 2 × 5 = 6
W = 6/2 = 3
W = 3 cm
The width, W, of each rectangle is W = 3 cm
The area of one rectangle = W × L = 3 cm × 5 cm = 15 cm²
The area of one rectangle = 15 cm².
Answer:
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Answer:
10 dinners
Step-by-step explanation:
We solve using the Least Common Multiple Method.
We are told:
Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.
We find the Multiples of 2 and 10
Multiples of 2:
2, 4, 6, 8, 10, 12, 14
Multiples of 10:
10, 20, 30
Therefore,
LCM(2, 10) = 10
The least number of dinners that Manny can make without any supplies leftover is 10 dinners
A graph of a function. The function graph goes through point negative 2, negative 3 and point negative 3, 0.
When the charge for 3 hours is $94 on Monday and $130 for 5- hour service on Tuesday would charge for 2-hour call service is $76.
Electricians charge a fixed rate + an hourly rate. The charges are a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday.
A linear equation is a one-degree equation. The equation includes the variable of the highest power one. The standard form of an equation is Ax + B = 0, where x is the variable, A is the coefficient and B is a constant.
To solve the linear equation we need to find the unknown variable which satisfied the given linear equation.
Electricians charge a fixed rate + an hourly rate
If he charges, $94 for a 3-hour call on Monday and $130 for a 5-hour call on Tuesday then charging for 2 extra hours is the difference between the two amounts.
130 - 94 = $36
for an hourly rate, it will be $18
For the fixed traveling charge, we will subtract the 3-hour rate from a fixed rate of $94 - 3 × $18 = $40
So, for x hour call the equation will be, 40 + 18x
for 2 hour service, the charges would be 40 + 18 × 2 = $76
Therefore, when the charge for 3 hours is $94 on Monday and $130 for 5- hour service on Tuesday would charge for 2-hour call service is $76.
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