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3 years ago

What is the anwser to -20x > -400

Mathematics

2 answers:

Delicious77 [7]3 years ago

4 0

$-20x>-400\\
x$

Stells [14]3 years ago

3 0

$-20x > -400 \ |:(-20) \\\\ x < 20 \\\\ \boxed{x=(-\infty;20)}$

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What is the surface area of the cylinder? Use three and fourteen-hundredths for pi and round to the nearest hundredth. Enter you

nadya68 [22]

Answer:

954.56 cm²

Step-by-step explanation:

Firstly i would calculate the circumference of the circles on top of the cylinders:

Circumference of circles = $\pi d$ or $2\pi r$

d = diameter

r = radius

I will use $2\pi r$

circumference = 2 x 3.14 x 8 = 50.24 cm

⇒ This would help me to find out the surface area of the side of the cylinder

50.24 x 11 = 552.64 cm²

⇒ This is the surface are of the sides

Now we have to find the are of the two circles on the top and the bottom:

Area of a circle = $\pi d^{2}$

d = diameter

3.14 x 8² = 200.96

⇒ There are two circles so you would times 200.96 by 2

200.96 x 2 = 401.92

Add all the values up:

401.92 + 552.64 = 954.56 cm²

I hope this helps!

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Type the correct answer in each box. If necessary, use / for the fraction bar(s).

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Given:

The values are $a=0.\overline{6},b=0.75$ .

To find:

The values of $ab$ and $\dfrac{a}{b}$ .

Solution:

We have,

$a=0.\overline{6}$

$a=0.666...$ ...(i)

Multiply both sides by 10.

$10a=6.666...$ ...(ii)

Subtracting (i) from (ii), we get

$10a-a=6.666...-0.666...$

$9a=6$

$a=\dfrac{6}{9}$

$a=\dfrac{2}{3}$

And,

$b=0.75$

$b=\dfrac{75}{100}$

$b=\dfrac{3}{4}$

Now, the product of a and b is:

$ab=\dfrac{2}{3}\times \dfrac{3}{4}$

$ab=\dfrac{1}{2}$

The quotient of a and b is:

$\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}$

$\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}$

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Therefore, the required values are $ab=\dfrac{1}{2}$ and $\dfrac{a}{b}=\dfrac{8}{9}$ .

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