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2 years ago

What is the surface area of the cylinder with height 8 in and radius 2 in? Round your answer to the nearest thousandth.

Mathematics

1 answer:

leonid [27]2 years ago

6 0

Answer:

2^2 = 4

4 x 3.14 = 12.56

12.56 x 2 (since there are two circles on the cylinder) = 25.12

Now let's find the circumference of one circle and multiply it by the height to get the round surface area!

2 x 3.14 x 2 = 12.56(circumference)

12.56 x 8(height) = 100.48

Now add both the surface areas!:

25.12 + 100.48 = 125.6 in2 is your answer.

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If 5 + 20 times 2 Superscript 2 minus 3 x Baseline = 10 times 2 Superscript negative 2 x Baseline + 5, what is the value of x? –

sp2606 [1]

Answer:

<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>

Step-by-step explanation:

Given equation is $5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

<h3>To find the value of x :</h3>

First solving the given equation we have,

$5+20\times (2)^{2-3x}=10\times (2)^{-2x}+5$

$5+20\times (2)^{2-3x}-5=10\times (2)^{-2x}+5-5$

$20\times (2)^{2-3x}=10\times (2)^{-2x}$

$20\times (2)^2.(2)^{-3x}=10\times (2)^{-2x}$

$20\times 4.(2)^{-3x}=10\times (2)^{-2x}$

$80(2)^{-3x}=10\times (2)^{-2x}$

$\frac{80}{10}(2)^{-3x}=\frac{10\times (2)^{-2x}}{10}$

$8(2)^{-3x}=(2)^{-2x}$

$\frac{(2)^{-3x}}{(2)^{-2x}}=\frac{1}{8}$

$(2)^{-3x}.(2)^{2x}=\frac{1}{2^3}$ ( by using the property $\frac{1}{a^{-m}}=a^m$ )

$2^{-3x+2x}=\frac{1}{2^3}$ ( by using the property $a^m.a^n=a^{m+n}$ )

$2^{-x}=\frac{1}{2^3}$

$\frac{1}{2^x}=\frac{1}{2^3}$ ( by using the property $a^{-m}=\frac{1}{a^m}$ )

Since bases are same so powers are same

Therefore we can equate the powers we get x=3

<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>

5 0

3 years ago

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Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

STatiana [176]

C. Both options A and B will allow him to meet his goal.

Looking at Drake's situation after 4 weeks, he only has $470 saved. By his original plan, he should have had $500 saved. So he's $30 short of his goal and has 2 weeks until his originally planned class. If he goes with option A and takes the later class, he will save an additional $125 which is more than enough to make up the $30 short fall. So option A will work for him to save enough money for his class. With option B, he will save $140 for the last 2 weeks of his plan giving him a savings of $280 for the last 2 weeks. Adding the $470 he's already saved will give him a total savings of $470 + $280 = $750 which is enough for him to attend his class. So option B will also allow Drake to attend his desired class. Both options A and B allow him to meet his goal. Hence, the answer is "c".

8 0

3 years ago

25POINTS!!!

irina [24]

Answer:

10.8 cm

Step-by-step explanation:

Using cosine law

g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)

g² = 116.7018433

g = 10.80286274

5 0

3 years ago

Help!! 30 points!!

erica [24]

Answer:

a. 47.6mph (distance divided by time = speed. divide each rowers distance by their speed, then add them all)

b. 1.26 minutes per mile (i used a calculator so i dunno how to explain)

let me know if this is right or not :)

6 0

2 years ago

If a cube has a volume of 9 feet and a shelf has a height of 27 inches, can the cube fit in the shelf?

rusak2 [61]

Answer:

Yes the cube will fit.

Step-by-step explanation:

If we don't take into account of how wide of long the cube is and just focus on the height, the edge of a cube with a volume of 9 feet is roughly 2.08 feet. That totals to less than 27 inches, therefore the cube will fit on the shelf.

4 0

2 years ago

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