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lapo4ka [179]
3 years ago
10

Anybody up at this time? If so,please help me

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0
Circle 42,192 and 210
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The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c
Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 \rm{in^3}

Step-by-step explanation:

The linearization or linear approximation of a function f(x) is given by:

f(x_0+dx) \approx f(x_0) + df(x)|_{x_0} where df is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh

Taking R_0=1.5 inches and h=3 inches and evaluating the partial derivatives we obtain:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh

substituting the values and taking dx=0.1 and dh=0.3 inches we have:

V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3}  + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}

Therefore the change in volume is estimated to be 17.20 \rm{in^3}

4 0
3 years ago
Lindsay is very excited to be getting a great deal on an iPad. It was originally $500 but she will only be paying $325. what per
Veseljchak [2.6K]
To find what she saved you need to subtract
500-325= 175
then take 175 divided by the original price (500) to get a percentage so
175÷500=0.35
0.35= 35%
so your answer is she saved 35%
6 0
3 years ago
Read 2 more answers
What is the ratio of pennies to dimes in a daller
cluponka [151]


we know that 100 pennies = 1 dollar and, 10 dimes = 1 dollar so the ratio would be;

100:10 or  100/10

and in simplest form: 100:10 = 10:1 and 100/10 = 10

4 0
3 years ago
Read 2 more answers
Calvin is painting an area that is 115 square feet. He is able to paint 2.5 square feet every 2 minutes. At this rate , how long
Verdich [7]

Answer:

Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

Step-by-step explanation:

First of all we know that the total surface are that Calvin is painting is 115 square feet.

The rate at which Calvin is painting refers to the surface area he covers every 2 minutes. This is 2.5 square feet every 2 minutes.

we can set up a relation to solve this problem

If Calvin paints 2.5 ft^{2} in 2 minutes

He will paint 115 ft^{2} in x minutes

By cross multiplying, we have x= \frac{2 \times 115}{2.5}=92 minutes

Hence Calvin will paint the entire area in 92 minutes or 1 hour 32 minutes.

3 0
3 years ago
Use the image from problem 11 to answer this problem.
guajiro [1.7K]

Answer:

34.

Step-by-step explanation:

All angles of a triangle combined equal 180, so if 1 angle measures 146, subtract 146 from 180. 180-146=34

4 0
2 years ago
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