Answer:
Step-by-step explanation:
Rewrite the quadratic using the method of completing the square:
From this form it is immediately clear that the vertex of the parabola is at x=1 and its y-intercept at -6.
Answer:
She asked 10 friends to buy tickets.
Step-by-step explanation:
If each ticket sells for 3 dollars, you can get the amount of people that bought the tickets by taking the amount earned divided by the price of the ticket.
$18 / $3 = 6
If 6 friends bought tickets and 4 friends did not, add the two together and you will get how much people Monica asked.
6 + 4 = 10
She asked 10 friends to buy tickets.
Answer:
625 cm^2
Step-by-step explanation:
Break it into a rectangle on the bottom and a triangle on top
rectangle area = 50 x 8 = 400 cm^2
triangle area = 1/2 b * h = 1/2 * 50 * 9 = 225 cm^2
added together = 625 cm^2
Answer:
The volume of the figure is 590.71 mm³
Step-by-step explanation:
To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 3.65mm
π = 3.14
r = radius = 3.2mm
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (3.2mm)²) * 3.65mm
v = (3.14 * 10.24mm²) * 3.65mm
v = 32.1536² * 3.65mm
v = 117.36mm³
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 14.23mm
l = length = 10.08mm
h = height = 3.3mm
v = w * h * l
we replace the values that we know
v = 14.23mm * 10.08mm * 3.3mm
v = 473.347mm³
we add the volumes
v = 117.36mm³ + 473.347mm³
v = 590.707
round to the neares hundredth
v = 590.707 mm³ = 590.71 mm³
The volume of the figure is 590.71 mm³
