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
For the rectangle you add 12 plus 9 to get 21 then multiply by 24 to get 288. then. you multiply 15 times 9 to get 135 then divide by 2 to get 67.5 for the top triangle. you then add 12 and 9 together to get 21 and multiply that by 15 to find the middle rectangle then you get 315. you then add all of the final values together to get 670.5 square units
Answer:
Option (B).
Step-by-step explanation:
Percentage change between two numbers a and b can be calculated by the formula,
% change = 
Where, (b - a) = Change in values
a = Initial value
If a = 16 and b = 20
Percentage change between 16 and 20 will be,
= 
= 
= 25%
If a = 20 and b = 16,
Percentage change = 
= 20%
Therefore, %change between 16 and 24 may be 16% or 20%.
Option (A),
= 25%
Option (B),
= 1.25 - 1 × 100
= 1.25 - 100
= -98.75%
Option (C),
= 25%
Option (D),
= 20%
Therefore, we can not use the calculation used in Option (B).
Answer:
not a solution
Step-by-step explanation:
y = -3/4 x +3
Is (3,2) a solution?
Substitute the point into the equation and see if it is true
2 = -3/4(3) +3
2 = -9/4 +3
2 = -9/4 +16/4
2 = 7/4
False
Answer:
unlike terms
Step-by-step explanation:
since the first 9y is squared they cannot be combined since the other isn't squared, they cannot be simplified, nor are they alike
