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3 years ago

Find the surface area of the composite figure.

Mathematics

1 answer:

kakasveta [241]3 years ago

7 0

Answer:

508.68 in^2

Step-by-step explanation:

The equation given: 2πr^2+2πrh

Givens: r = 3 in, h = 3*8 in = 24 in, π ≈ 3.14

Substitution: 2(3.14)3^2+2(3.14)3*24

Solution: 508.68

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Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in

KiRa [710]

Answer: (i) The unit rate at which online jewelry sales have been increasing is 1.33 billion dollars per year.

(ii) The online jewelry sales in 2019 will be 191.7 billion dollars.

Step-by-step explanation:

In 2003, sales were approximately 2 billion dollars and in 2010, they were approximately 14.8 billion dollars.

(i) If $x$ is the number of years after 2003 and $y$ is the amount of sales....

then the equation will be: $y= ab^x$ , where $a$ is the initial amount and $b$ is the growth rate.

for 2003, $x=0$ and for 2010, $x=7$

So, the two points in form of (x, y) will be: $(0,2)$ and $(7,14.8)$

Now plugging these two points int the above equation....

$2= ab^0\\ \\ a= 2\\ \\ and\\ \\ 14.8=ab^7\\ \\ 14.8=2*b^7\\ \\ b^7=7.4\\ \\b= \sqrt[7]{7.4}=1.3309.... \approx 1.33$

Thus, the online jewelry sales have been increasing at a rate of 1.33 billion dollars per year.

(ii) As we got $a=2$ and $b=1.33$ , so the equation will be now: $y= 2(1.33)^x$

For the year 2019, the value of $x$ will be: (2019-2003) = 16

So plugging $x=16$ into the above equation, we will get.....

$y=2(1.33)^16\\ \\ y=191.7150... \approx 191.7$

(Rounded to the nearest tenth)

Thus, the online jewelry sales in 2019 will be 191.7 billion dollars.

6 0

3 years ago

Which sequence of rigid transformations will map the preimage ABC onto image A'B'C' ?

iren2701 [21]

Answer:

The answer is option A, a double reflection

5 0

3 years ago

Check

Mariana [72]

Answer:

See below

Step-by-step explanation:

Fraction Decimal

3/20. 15%

19/50. 38%

1/3. 33%

37/100. 37%

1/4. 25%

3 0

3 years ago

Please help now with homework

damaskus [11]

The correct answer is 1.25 dollars per pound. You can check it by multiplying it with 4.16

5 0

3 years ago

Ok so the mass of a proton is 0.000000000000000000000000001672622 how do I make this in scientific notation

Soloha48 [4]

Answer:

1.7 x 10^-27

Step-by-step explanation

Move the decimal to the right until it's a single digit number, because you are moving it to the right, it would be a negative number. If you are able to round up then please do. Remember to check your significant figures if you're in chemistry.

3 0

3 years ago