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seropon [69]
2 years ago
8

Find the volume of the object. 1. the cylindrical part of the measuring cup 6.3 cm 7 cm

Mathematics
1 answer:
Goryan [66]2 years ago
5 0
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Why is the greatest common factor of 2 numbers sometimes 1
faltersainse [42]
The greatest common factor of two numbers, one of which is 1, will always be 1.
8 0
2 years ago
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Hiiii.. please help me with this limit question ​
Alenkasestr [34]

Answer:

π

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

π

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0.  So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

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-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

π

8 0
2 years ago
Janelle has 5 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the
VikaD [51]

Answer:

The distance cover by him walking back is 11.25 miles

Step-by-step explanation:

Given as :

Time for Janelle to spend on training = 5 hours

The  running speed of Janelle = 9 mph

The walking back with 3 mph

Let The distance for running and walking is same i.e  D miles

SO, Time = \frac{Distance}{Speed}

∴  5 =  \frac{D}{9} +  \frac{D}{3}

Or, 5 × 9 = D + 3 D

Or, 45 = 4 D

∴   D = \frac{45}{4} = 11.25 miles

Hence The distance cover by him walking back is 11.25 miles   Answer

6 0
3 years ago
3 1/4 divided by 1 3/8
Nadusha1986 [10]

Answer:

Hope this helps

Step-by-step explanation:

Exact Form: 26/11

Mixed Number Form: 2 4/11

8 0
2 years ago
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Why is ..................
Ratling [72]
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8 0
3 years ago
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