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2 years ago

Make the following changes to the number 5.376:

1 answer:

4 0

3.567 First, let's split up each digit into a separate number with it's actual value. So 5.376 = 5 + 0.3 + 0.07 + 0.006 Now let's combine these values multiplied by the new factors. So 5*(1/10) + 0.3*10 + 0.07*(1/10) + 0.006*10 = 0.5 + 3 + 0.007 + 0.06 = 3.567

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What curve passes through the point (1 ,2) and has an arc length on the interval [2,6] given by Integral from 2 to 6 StartRo

Georgia [21]

Answer:

Step-by-step explanation:

Given

Length of curve

$L=\int_{2}^{6}\sqrt{1+64x^{-6}}dx$

Length of curve is given by

$L=\int_{a}^{b}\sqrt{1+\left ( \frac{\mathrm{d} y}{\mathrm{d} x}\right )^2}dx$ over interval a to b

comparing two we get

$\frac{\mathrm{d} y}{\mathrm{d} x}=8x^{-3}$

$dy=8x^{-3}dx$

integrating

$\int dy=\int 8x^{-3}dx$

$y=-4x^{-2}+C$

Curve Passes through (1,2)

$1=-4+C$

$C=5$

curve is

$y+\frac{4}{x^2}=5$

3 0

2 years ago

paris run 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 mile. About how far does paris

fiasKO [112]

Answer:

5.497787144 miles

Step-by-step explanation:

Remember that circumference of a circle can be calculated with:

$2\pi r$

r=radius

We also know that the radius is just a half of the diameter.

So, the radius of the track is (1/2)/2=1/4 miles

Now, use the circumference of a circle formula to find how much she runs in 1 lap.

$2\pi (\frac{1}{4} )$

Simplify

$\frac{\pi }{2}$

This is how much she runs in 1 lap.

Multiply by 3.5 for 3 and a half laps.

$\frac{\pi }{2}*3.5$

The answer is around 5.497787144 miles.

7 0

3 years ago

Name the identical triangles and measurement of side BA

aalyn [17]

Step-by-step explanation:

BE/BC=BD/BA

tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.

4/(4 + 10) = 5/(5+X) Cross Multiply

4(5+x) = 5(4+10)m

20 +4x=20 +50 subtract 20 from both sides

4x = 50 divide by 4

x =12.5

4 0

2 years ago

Leila says that 75% of a number will always be greater than 50% of any other number. Complete one inequality to support Leilas c

Greeley [361]

If a number is positive, Leila's theory that 75% of a number will always be greater than 50% of another number is true; however, if both numbers are negative, or if the number of which she finds 50% is much greater than the number of which she finds 75%, Leila's theory could be incorrect.

This inequality shows that Leila is correct: $100(0.75) \geq 50(0.50)$ (which simplifies to $75 \geq 25$ )

This inequality shows that Leila is incorrect: $50(0.75) \geq 100(0.50)$ (which simplifies to $37.5 \geq 50$ )

Hope this helps!

6 0

2 years ago

Read 2 more answers

Two right triangles are shown. First, find the missing leg of the triangle on the right. Then you have two lengths to use to fin

jasenka [17]

Answer:

x = 30m

Step-by-step explanation:

GIVEN :-

There are 2 right-angled triangles.

In the triangle on the right side ,