Answer:
310339.1 in^3
Step-by-step explanation:
Volume=4/3*pi*r^3
Volume=4/3*pi*42^3
Volume=4/3*pi*74088
Volume=98784*pi
Volume=310339.0887
So the volume is about 310339.1 in^3
Answer:
Infinitely many solutions.
Step-by-step explanation:
Let's begin by carrying out the indicated multiplications, which must be done before any addition or subtraction:
2(8r+5)-3=4(4r-1)+11 becomes 16r + 10 - 3 = 16r - 4 + 11.
Subtracting 16r from both sides, we get 10 - 3 = - 4 + 11, or 7 = 7
This is always true, so we can conclude that this equation has infinitely many solutions.
Answer:
Yes
Step by step explanation
You have to include a drawing that relates the distace between de towers and some angles.
I will use one that gives the angle from the base of Seafirst Tower to the top of Columbia tower as 53 degress.
This lets you calculate the distance between the towers, d, as
tan(53) = 954 / d => d = 954 / tan(53) = 718.89ft
The same drawing gives the angle from the the base of the Columbtia tower to the top of the Seafirst Tower as 27 degrees.
Tnen, tan(27) = height / d => height = d*tan(27) = 718.89*tan(27) = 366.29 ft
Answer: 366.29 ft
Answer:
The vertex form is y = (x + 4)² - 13
The minimum value of the function is -13
Step-by-step explanation:
∵ y = x² + 8x + 3
∵ 8x ÷ 2 = 4x ⇒ (x) × (4)
∴ We need ⇒ x² + 8x + 16 to be completed square
∴ y = (x² + 8x + 16) - 16 + 3 ⇒ we add 16 and subtract 16
∴ y = (x + 4)² - 13 ⇒ vertex form
∵ The vertex form is (x - a)² + b
Where a is the x-coordinate of the minimum point and b is y-coordinate of the minimum point (b is the minimum value of the function)
∴ The minimum value is -13
