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Fynjy0 [20]
3 years ago
6

The can is 12cm high and the diameter is 4cm

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0
576 would be your right
               happy to help
Pachacha [2.7K]3 years ago
4 0
Firstly, find the radius with the formula diameter (d) : 2

8 : 2 = 4 cm

The Vilume formula is r²hπ = 4²*12*π = 16*12*π = 192π cm³

Your exercise says to use "3" as a value for π

Then V is 192*3 = 576 cm³
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Find the value of x help 10 points
MrRissso [65]

<u>Answer:</u>

x = 5.67

<u>Step-by-step explanation:</u>

We are given a right angled triangle with a length of the hypotenuse 8 with the remaining two sides (base and perpendicular) that are equal to each other.

Assuming the two equal legs of this right angled triangle to be x, we can use the Pythagoras Theorem to find the value of x.

(x)^2+(x)^2=(8)^2

2x^2=64

Taking square root at both the sides to get:

\sqrt{2x^2} =\sqrt{64}

1.41x=8\\\\x=5.67

Therefore, x = 5.67.

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3 years ago
In the year 2000, the United States had a population of about 281.4 million people; by 2010, the population had risen to about 3
IgorC [24]

Answer:

Part 1. 0.9259 % per year

Part 2. P = 281.4e^(0.009 259t); 338.6 million  

Step-by-step explanation:

Data:

P₀ = 281.4 million

P  = 308.7 million

Part 1. Growth rate

t = 2010 - 2000 = 10 yr

        P = P₀e^(rt)

308.7 = 281.4e^(10r)

e^(10r) = 1.0970

     10r = ln1.0970

        r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259  

        r = 0.9259 % per year

The 10-year continuous growth rate is 0.9259 % per year.

Part 2. Population model

The population model is

P = 281.4e^(0.009 259t)

where P is in millions and t is the number of years since 2000.

By 2020,

P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203

P = 338.6 million

The estimated population in 2020 is 338.6 million.

8 0
3 years ago
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