For this case, the first thing we must do is define variables.
We have then:
d: number of dimes
q: number of quarters
We now write the system of equations that models the problem.
We have then:
He has a total of 30 coins:
The toal value of Kyles coins is $ 4.80:
Answer:
A system of equations that can be used to find the number of dimes, d, and the number of quarters, q, kyes has is:
The answer is 6 because the absolute value of 8 is 8 and the absolute value of -3 is 3 so using BEDMAS we get 8 - (2 x 3) + 4 = 6
Answer:
Step-by-step explanation:
The scientist can use only the angle x and the distance y to calculate the distance between the Earth and the Sun using the cosine function.The cosine of an angle is equal to the ratio of the length of the adjacent side and the length of the hypotenuse. In equation form:cos x = BC / ySolving for BCBC = y cos xBC is the distance between the Earth and the Sun
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Answer:
A = 172.0 in²
Step-by-step explanation:
Exterior angle of any side is 360 / 5 = 72°
Interior angle between any two adjacent sides is 180 - 72 = 108°
A regular pentagon can be thought of as 5 isosceles triangles with two common angles of 108 / 2 = 54°
The height of each triangle is
h = (10/2)tan54
The area of each triangle is ½(10)h = ½(10)(10/2)tan54 = 25tan54
The area of the pentagon is
A = 5(25tan54) = 125tan54 = 172.04774005...
A = 172.0 in²
