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:
x = -8
y = -6
Step-by-step explanation:
y = -2x - 22
y = x + 2
x + 2 = -2x - 22
x + 2x = -22 - 2
3x = -24
x = -24 : 3
x= -8
y = -8 + 2
y = -6
Answer:
The answer to your question is 1.875 gallons
Step-by-step explanation:
Data
distance = 50 mi
volume of gas = 1 gal
volume for 150 km = ?
Process
1.- Convert 50 mi into kilometers
1 mile ------------------- 1.6 km
x ------------------ 150 km
x = (150 x 1)/1.6
x = 93.75 mi
2.- Calculate the gallons wasted
1 gallon ----------------- 50 mi
x ---------------- 93.75 mi
x = (93.75 x 1)/50
x = 93.75/50
x = 1.875 gallons
Answer:
If oscar had 3 apples then he took 2 from Tim and gave 1 to Mike.How many apples does he have?
Step-by-step explanation:
Answer: a. 3.4t (miles)
b. 2.125 miles
c. t = 1.6 hours
Step-by-step explanation:
A) We will use the relation:
Distance = Speed × Time
Distance= 3.4 × t
= 3.4t (miles)
B) If t= 5/8
Distance d= 3.4 × 5/8
= 3.4 × 0.625
= 2.125 miles.
C) If the distance d= 5.44,
Time will be:
d= 3.4t, and we know that d=5.44
Therefore, 5.44 = 3.4t
t = 5.44/3.4
t = 1.6 hours
