Answer:
Step-by-step explanation:
Given
Required
Determine their next meeting time
First, we need to get their unit rate in minutes per round
Convert 360 seconds to minutes
Divide by 2/2
So, we have:
Next, is to determine the LCM of 18, 6 and 2
Their LCM is:
This means that they will meet 18 minutes after their initial time of departure.
So:
sum of all sides of triangle=180°
7x+13x+16x=180°
36x=180°
x=180°/36
x=5
angle D=7x
=7(5)
D=35°
angle E=13(x)
=13(5)
E=65°
angle F=16x
=16(5)
F=80°
angle D=35°
angle E=65°
angle F=80°
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
I don’t think this exact answer is there
