Answer:
46
Step-by-step explanation:
The missing length is 10-4 = 6
Therefore perimeter = 5 + 6 + 8+ 4+13 +10
=46
Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
(294π +448) cm³ ≈ 1371.6 cm³
Step-by-step explanation:
The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.
The cylinder volume is ...
V = πr²h = π(7 cm)²(6 cm) = 294π cm³
__
The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...
V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³
Then the total volume of the composite figure is ...
(294π +448) cm³ ≈ 1371.6 cm³
= 4i (2i) <span>√6
= 8i^2 </span><span>√6 but i^2 = -1
= - 8</span><span>√6</span><span>
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If you would like to know whether or not what she wrote is accurate, it is.
Hope that helps!
