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Varvara68 [4.7K]
3 years ago
14

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=18.84mm³

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
Read 2 more answers
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
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