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
Answer: x³+2x²-15x
Step-by-step explanation:
1. Expand
(x²-3x)(x+5)
2. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd
x³+5x²−3x²−15x
3. Collect like terms
x³+(5x²−3x²)−15x
4. Simplify
x³+2x²-15x
Hope this helps, have a BLESSED and wonderful day! ;-)
Answer:
130
Step-by-step explanation:
first find angle C, which is 180-90-40=50
angle Y=180-50=130
Answer: 12 minutes
Step-by-step explanation:
Two rates for hoses A and B. FP is the Fish Pond.
A = 20 min/FP or (1/20)FP/min
B = 30 min/FP or (1/30)FP/min
The time in minutes, X, to fill one FP:
1FP = X*((1/20)FP/min) + X*((1/30)FP/min)
1FP = X*(1/20+1/30)FP/min
1FP = X*(2.5/30)FP/min
X = 12 minutes
