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Dmitrij [34]
3 years ago
10

The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the s

tack of pennies on the left is 360 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? Use 3.14 for pi. (Hint: only enter numerals in the answer blank)
Mathematics
2 answers:
satela [25.4K]3 years ago
6 0
360 mm^3. There is 15 pennies also in the right side and you are already told the left side, which has 15 pennies is 360 mm^3.
Gnoma [55]3 years ago
5 0

Answer:

Stack on the right has volume 360 mm³.

Step-by-step explanation:

We are given that,

There are two stacks made up of 15 pennies each.

We are given that the volume of the one stack = 360 mm³

As, there are 15 pennies in one stack.

So, Volume of 15 pennies = 360 mm³

Since, the other stack is also made up of 15 pennies.

Thus, the volume of the other stack is also 360 mm³.

Hence, the stack on the right has volume 360 mm³.

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Describe the error in the picture?
Veseljchak [2.6K]

Answer:

it says 2 for $10 when you can easily get 2 for $7.60

Step-by-step explanation:

6 0
3 years ago
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
If you start with a number, add 5 , then multiply by 7, the result is133. what was the original number?
Natalija [7]
(x+5)*7=133
7x+35=133
7x=98
x=98/7
x=14
5 0
3 years ago
Please help meee, I’m having trouble in math. I solved the answer but got none of these.
tino4ka555 [31]
The answer is C

2.5 + 3.4 = 5.9

So:

5.9 x 10^4
6 0
3 years ago
What is the list price 45 off 1/4
Vlad1618 [11]
34 is your answer hope it helps
5 0
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