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3 years ago

Write 4.9 × 10–8 in decimal notation

Mathematics

1 answer:

34kurt3 years ago

7 0

Answer:

0.000000049.

Step-by-step explanation:

This will have 7 zeros after the decimal point followed by 49:

4.9 × 10^–8 = 0.000000049.

If we imagine the decimal point making jumps to the right over the digits it takes 8 jumps till it gets to 4.9. that's where the -8 comes in.

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the figure is made of up of a cone and a cylinder, to the nearest whole number what is the approximate volume of this figure. PL

Deffense [45]

The total volume is the sum of volume of cone and volume of cylinder.

Volume of cylinder = πr²h
π = 3.14
r = 4/2 = 2 mm
h = 2 mm

So, volume of cylinder equals:

$3.14 *(2)^{2}*2 =25.12$ mm³

Volume of cone = $\frac{1}{3} \pi r^{2}h$
π = 3.14
r = 2 mm
h = 3 mm

So, volume of cylinder equals:

$\frac{1}{3}*3.14* (2)^{2}*3=18.84$ mm³

Thus, total volume of the figure = 25.12 + 18.84 = 43.96 mm³

7 0

3 years ago

PLEASE HELP ASAP I WILL BRAINLIEST

Nataly_w [17]

Answer:

32 minutes and 30 seconds.

Step-by-step explanation:

3 hours = 180 minutes, plus 15 added = 195 so 195 ÷ 6 = 32.5 or 32 mins and 30 seconds

8 0

2 years ago

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Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0

DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

$x=r \cos \theta, y= r \sin \theta$

$r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )$

a) converts (9, 0) to polar coordinates ( r , θ)

$r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9$

$\theta= \tan^-^1 (\frac{0}{9} )\\\\=0$

b) Convert $(18,\frac{18}{\sqrt{3} } )$ to polar coordinates ( r, θ)

$r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}$

$\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}$

c) converts (-5, 5) to polar coordinates ( r , θ)

$r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}$

$\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}$

d) converts (-1, √3) to polar coordinates ( r , θ)

$r=\sqrt{(-1)^2+(\sqrt{3})^2 } \\\\= \sqrt{4} \\\\=2$

$\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}$

$= \frac{2\pi}{\sqrt{3} }$

6 0

3 years ago

What does the quotiant 35/x represent?

Bumek [7]

When 35 ÷ 7, the quotient would be 5, while 35 would be called the dividend, and 7, the divisor. I hope this helps

5 0

3 years ago

To make ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. how much total ribbon does s

larisa86 [58]

First make the denominators of the fractions the same by multiplying.

$\frac{2}{3}$ × $\frac{2}{2}$
= $\frac{4}{6}$

Now we just need to add the fractions together

$\frac{5}{6} + \frac{4}{6}$
= $\frac{9}{6}$

9/6 would be the answer, but it can be simplified further, then converted into decimal form.

$\frac{9}{6}$ ÷ $\frac{3}{3}$
= $\frac{3}{2}$
=1.5 yards

Your final answer is 1.5 yards of ribbon are needed.

7 0

3 years ago

Read 2 more answers