Answersin -> 48
Step-by-step explanation:
solve for the length of the horizontal line by doing:
sin(55)=x/58
rearrange: x = sin(55) times 58 = 47.51
round UP to 48
5(2x^2 - 5x - 3) = 5(2x + 1)(x - 3)
hope this helps :)
Answer: $13,846.02
Step-by-step explanation:
The car cost $29,750 when it was first bought.
It will then depreciate at a rate of 12% per year. This means that the value of the car reduces by 12% per year.
To find the value of the car in the 6th year, you can use the compound interest formula:
= Value of car * ( 1 - rate) ^ no. of years
= 29,750 * ( 1 - 12%)⁶
= 13,816.021581824
= $13,846.02
The circumference of a circle is PiD, or 2(3.14)(r).
The radius is half the diamater.
Let's solve with the diameter.
18 • 3.14 = 56.52 inches.
I hope this helps!
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.
Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5. The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.
#6) The radius is 18 inches, so the diameter is twice that: 18*2 = 36 inches. Converting this to feet, we have 36/12 = 3 feet. Each stone is 3 feet across. Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.
#7) The radius of the entire mirror with frame is 20/2 = 10. The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².
The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²
#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
