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3 years ago

Round 1.625 to the nearest hundredth

Mathematics

2 answers:

kvasek [131]3 years ago

8 0

~1.63
If you need an explanation hit me up my guy

Fantom [35]3 years ago

4 0

Answer:

1.600

Step-by-step explanation:

because 25 is to low to round to a 100th number so u go back to 600.

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A pipe is 10 ft long. It need to be cut into pieces that are each 2/5 feet long. How many pieces can be made from the pipe?

e-lub [12.9K]

The answer is 25. To check 10/.4 is 25 and 0.4 equals to 2/5

3 0

3 years ago

Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t i

bixtya [17]

Answer:

length of the curve = 8

Step-by-step explanation:

Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is

−π ≤ t ≤ π

Given data the arrow the direction in which the curve is traces means

the length of the curve of the given parametric equations.

The formula of length of the curve is

$\int\limits^a_b {\sqrt{\frac{(dx}{dt}) ^{2}+(\frac{dy}{dt}) ^2 } } \, dx$

Given limits values are −π ≤ t ≤ π

x = t + sin(t) ...….. (1)

y = cos(t).......(2)

differentiating equation (1) with respective to 'x'

$\frac{dx}{dt} = 1+cost$

differentiating equation (2) with respective to 'y'

$\frac{dy}{dt} = -sint$

The length of curve is

$\int\limits^\pi_\pi {\sqrt{(1+cost)^{2}+(-sint)^2 } } \, dt$

$\int\limits^\pi_\pi \, {\sqrt{(1+cost)^{2}+2cost+(sint)^2 } } \, dt$

on simplification , we get

here using sin^2(t) +cos^2(t) =1 and after simplification , we get

$\int\limits^\pi_\pi \, {\sqrt{(2+2cost } } \, dt$

$\sqrt{2} \int\limits^\pi_\pi \, {\sqrt{(1+1cost } } \, dt$

again using formula, 1+cost = 2cos^2(t/2)

$\sqrt{2} \int\limits^\pi _\pi {\sqrt{2cos^2\frac{t}{2} } } \, dt$

Taking common $\sqrt{2}$ we get ,

$\sqrt{2}\sqrt{2} \int\limits^\pi _\pi ( {\sqrt{cos^2\frac{t}{2} } } \, dt$

$2(\int\limits^\pi _\pi {cos\frac{t}{2} } \, dt$

$2(\frac{sin(\frac{t}{2} }{\frac{t}{2} } )^{\pi } _{-\pi }$

length of curve = $4(sin(\frac{\pi }{2} )- sin(\frac{-\pi }{2} ))$

length of the curve is = 4(1+1) = 8

<u>conclusion</u>:-

The arrow of the direction or the length of curve = 8

7 0

3 years ago

Two numbers are in the ratio 3:2. if 5 subtracted to each

eduard

Answer:

3 and 2

Step-by-step explanation:

The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )

When 5 is subtracted from both , that is

3x - 5 : 2x - 5 = 2 : 3

Expressing the ratio in fractional form

$\frac{3x-5}{2x-5}$ = $\frac{2}{3}$ ( cross- multiply )

3(3x - 5) = 2(2x - 5) ← distribute both sides

9x - 15 = 4x - 10 ( subtract 4x from both sides )

5x - 15 = - 10 ( add 15 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Thus the 2 numbers are

3x = 3(1) = 3 and 2x = 2(1) = 2

4 0

3 years ago

How do you write 89,000 in scientific notation

user100 [1]

Answer:

8.9 × 10^{4}

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Follow the steps below to see how 89,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 89,000

New Number: 8.9000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 8 . 9 0 0 0

Decimal Count: 1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.9 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

8.9 x 10^{4}

Step 4

Check your work:

10^{4} = 10,000 x 8.9 = 89,000

5 0

3 years ago

Which shows two expressions that are equivalent to (-7)(-15)(-5)

kykrilka [37]

Answer: (-1)(525) and (35)(-15)

Step-by-step explanation: (-7)(-15)(-5) = -525

(-1)(525) = -525

(35)(-15) = -525

6 0

3 years ago

Read 2 more answers