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DaniilM [7]
2 years ago
7

Express each of the following in metres. (iii) 10,000cm

Mathematics
2 answers:
yan [13]2 years ago
7 0

Answer:

100m

Step-by-step explanation:

How much are 10000 centimeters in meters?

10000 centimeters equal 100.0 meters (10000cm = 100.0m). Converting 10000 cm to m is easy. Simply use our calculator above, or apply the formula to change the length 10000 cm to m.

Alika [10]2 years ago
5 0

Answer:

100m

Because- 1m=100cm

10m=1000cm

100m=10,000cm

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Find the arc length of the given curve between the specified points. x = y^4/16 + 1/2y^2 from (9/16), 1) to (9/8, 2).
lutik1710 [3]

Answer:

The arc length is \dfrac{21}{16}

Step-by-step explanation:

Given that,

The given curve between the specified points is

x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}

The points from (\dfrac{9}{16},1) to (\dfrac{9}{8},2)

We need to calculate the value of \dfrac{dx}{dy}

Using given equation

x=\dfrac{y^4}{16}+\dfrac{1}{2y^2}

On differentiating w.r.to y

\dfrac{dx}{dy}=\dfrac{d}{dy}(\dfrac{y^2}{16}+\dfrac{1}{2y^2})

\dfrac{dx}{dy}=\dfrac{1}{16}\dfrac{d}{dy}(y^4)+\dfrac{1}{2}\dfrac{d}{dy}(y^{-2})

\dfrac{dx}{dy}=\dfrac{1}{16}(4y^{3})+\dfrac{1}{2}(-2y^{-3})

\dfrac{dx}{dy}=\dfrac{y^3}{4}-y^{-3}

We need to calculate the arc length

Using formula of arc length

L=\int_{a}^{b}{\sqrt{1+(\dfrac{dx}{dy})^2}dy}

Put the value into the formula

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4}-y^{-3})^2}dy}

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-2\times\dfrac{y^3}{4}\times y^{-3}}dy}

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4})^2+(y^{-3})^2+\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4}+y^{-3})^2}dy}

L= \int_{1}^{2}{(\dfrac{y^3}{4}+y^{-3})dy}

L=(\dfrac{y^{3+1}}{4\times4}+\dfrac{y^{-3+1}}{-3+1})_{1}^{2}

L=(\dfrac{y^4}{16}+\dfrac{y^{-2}}{-2})_{1}^{2}

Put the limits

L=(\dfrac{2^4}{16}+\dfrac{2^{-2}}{-2}-\dfrac{1^4}{16}-\dfrac{(1)^{-2}}{-2})

L=\dfrac{21}{16}

Hence, The arc length is \dfrac{21}{16}

6 0
3 years ago
Help ASAP please ...
cupoosta [38]

Answer:

Angle Q

Step-by-step explanation:

As I said on my previous posts, all you need to remember is CPCTC (corresponding parts of congruent triangles are congruent)

Q corresponds to B, and is thus congruent

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=8%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title="8 \frac{3}{5} " alt="8 \frac{3}{5} " ali
IRINA_888 [86]

Answer:

Step-by-step explanation:

8 3/5 is already in simplest form.  You could write this mixed number as an improper fraction:

43/5

or as a mixed decimal number:

8.6

5 0
3 years ago
What is the value of this expression?<br><br> (−4) to the fourth power
Alex_Xolod [135]
Good afternoon/evening.

-4^4 = four to the fourth power = (-4)(-4)(-4)(-4) = 256
Remember, when a negative is multiplied by a negative it equals a positive. 
4 0
3 years ago
A car has a gasoline
Delvig [45]

Answer:

Yes, look at the explanation:

Step-by-step explanation:

  1. Calculate how many miles a car can drive with 1 gallon: 285 miles ÷ 10 = 28.5 miles with one gallon
  2. Divide 500 by 28.5 to calculate how many gallons are needed: 500 ÷ 28.5 ≈ 17.543 - Therefore yes, it is possible because the car uses about 17.543 gallons of gasoline for 500 miles.
8 0
3 years ago
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