Answer:
Vol. of the composite figure is 189 m³
Step-by-step explanation:
Find the volume of the larger figure by mult. together its 3 dimensions:
V = (9 m)(8 m)(3 m) = 216 m³.
Next, find the volume of the "notch," which is (3 m)³, or 27 m³.
Finally, subtract the "notch" volume from the 216 m³ volume found earlier:
216 m³ - 27 m³ = 189 m³
Answer:
no she is wrong
Step-by-step explanation:
7a-4+3a-6= 10a-10 therefore they are not equal
Your answer is 89 since 4*10=40)+5*5=25)+2*12=24, add all the results up and get 89.
To solve this problem, let us first assign some
variables. Let us say that:
x = pigs
y = chickens
z = ducks
From the problem statement, we can formulate the
following equations:
1. y + z = 30 --->
only chicken and ducks have feathers
2. 4 x + 2 y + 2 z = 120 --->
pig has 4 feet, while chicken and duck has 2 each
3. 2 x + 2 y + 2 z = 90 --->
each animal has 2 eyes only
Rewriting equation 1 in terms of y:
y = 30 – z
Plugging this in equation 2:
4 x + 2 (30 – z) + 2 z = 120
4 x + 60 – 2z + 2z = 120
4 x = 120 – 60
4 x = 60
x = 15
From the given choices, only one choice has 15 pigs. Therefore
the answers are:
She has 15 pigs, 12 chickens, and 18 ducks.
Answer: A. 3072 cm³
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × width × height
Looking at the diagram,
Length = 6 cm
Width = 4 cm
Height = 2 cm
When the measures are multiplied by 4, then
Length = 6 × 4 = 24 cm
Width = 4 × 4 = 16 cm
Height = 2 × 4 = 8 cm
Therefore,
Volume = 24 × 16 × 8 = 3072 cm³
