By finding the scale factor, we will see that the volume of the smaller solid is 86.75 m³.
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How to get the volume of the smaller solid?</h3>
If the solids are similar, then there is a scale factor between the two. Then the relation between the areas is equal to the scale factor squared, and the relation between the volumes is equal to the scale factor cubed.
This means that if the areas are 169 m² and 81 m², then we can write:
169 m² = (k²)*81 m²
Solving for k, we get:
k = √(169 m²/81 m²) = 1.44
Then if the volume of the large solid is 124.92m³ we can write:
124.92m³ = k³*V
Replacing k and solving for V we get:
124.92m³ = (1.44)³*V
(124.92m³/ (1.44)³) = V = 86.75 m³
If you want to learn more about scale factors:
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Answer:
28.26 Yards
Step-by-step explanation:
Step One: Square Radius
r = 3
3² = 9
Step Two: Multiply 9 by π
π = 3.14
9 · 3.14
= 28.26
Answer:
99.7%
Step-by-step explanation:
Using the z score formula
z-score is z = (x-μ)/σ
where:
x = raw score
μ = population mean
σ = population standard deviation.
a) for x = raw score = 35
μ = population mean = 44
σ = population standard deviation =3
z = (35 - 44)/3
z = -9/3
z = -3
b) for x = raw score = 53
μ = population mean = 44
σ = population standard deviation =3
z = (53 - 44)/3
z = 9/3
z = 3
We would use the standard normal distribution table to find their probabilities
P(Z<=-3)=0.0013499
P(Z<=+3)=0.99865
So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973
Converting to percentage = 0.9973 × 100 = 99.73%
Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%
A) draw a cube
i) 16cm
ii) 80 cm
b)64 cm
Ok so draw the outline of a cube with 4cm each. There is six sides and the area is just multiplying 4 by 4. So, since the area of each side is 16, and there is 6 sides, the surface area is 80 cm. The volume is just length x width x height (4x4x4) so it’s 64 cm cubed.
