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saveliy_v [14]
2 years ago
11

Round each decimal to the given place value 1.25 - rounded

Mathematics
1 answer:
Mkey [24]2 years ago
4 0

Answer:

see below

Step-by-step explanation:

1.25 rounded to the nearest tenth : 1.3

2.784 rounded to the nearest hundredth : 2.78

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A cone is 10cm high and has a base radius of 8cm.
slavikrds [6]

The maximum volume of the cylinder in exact form is; V_max = 2560π/27

<h3>How to maximize the volume of a cylinder?</h3>

Let us define the variables as:

Radius of cone = r

Radius of cylinder = x

Height of Cone = h

Height of Cylinder = y

The general equation for volume of the cylinder is;

V = πx²y  

Taking a strip of both figures and relating x, y, r & h as well as using ratios of similar triangles, we have:

Height of triangle above cylinder/Base of Triangle above cylinder   =   Height of full triangle/Base of full triangle

This gives;

(h - y)/2x  = h/2r

Making y the subject gives us;

h – y = hx/r

y =  h – hx/r

y = h(1 – x/r)

Plug in y into our Volume equation:

V(x) = πx²h(1 – x/r)

V(x) = πh(x²  - x³/r)

To get maximum volume, find the derivative of the volume and solve for when the derivative equals zero:

V'(x) = πh(2x  - 3x²/r)

V'(x) = 0

Thus;

(2x  - 3x²/r) = 0

x( 2r – 3x) = 0

Thus;

x = 0 or x = 2r/3

Put x = 2r/3 in our volume equation to find V_max

V_max  = πh((2r/3)² – (2r/3)³/r)

V_max = πh(4r²/9 - 8r²/27)

V_max = πh(12r²/27 - 8r²/27)

V_max = 4πhr²/27

Thus, at r = 8 and h = 10, we have;

V_max = 4π(10)8²/27

V_max = 2560π/27

Read more about Maximizing Volume of Cylinder at; brainly.com/question/10373132

#SPJ1

3 0
2 years ago
....Help Please......
Gala2k [10]

Answer:

it would end at 2:20

Step-by-step explanation:

you just count 50 min from 1:30

5 0
3 years ago
Rounding or compatible numbers to estimate the difference. 762-332
Lubov Fominskaja [6]
Rounding to the nearest ten 760-330
4 0
3 years ago
Hellp pls this is not a quiz
ra1l [238]

Answer:

The answer is D.

Step-by-step explanation:

Remember, think of what they would be like on a number line. The negative number closest to zero is greater than the negative numbers farther from zero. Any number that is to the left of a certain number is less than, if that makes any sense.

8 0
3 years ago
Which function represents exponential decay?f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x
nasty-shy [4]

Answer: The answer is (D) f(x)=2(\dfrac{2}{3})^x.

Step-by-step explanation:  We are to select the correct function which represents exponential decay.

We know that an exponential decay is represented by the function with base less than 1.

For example, if we consider the following exponential function:

f(x)=b^x,

then f(x) will show exponential growth if b > 1 and exponential decay is b < 1.

Among the given functions, f(x)=2(\dfrac{2}{3})^x represents exponential decay, because the base is 0.66, which is less than 1.

Thus, (D)  f(x)=2(\dfrac{2}{3})^x. is the correct option.

The graph of this resultant function is attached, which clearly represents exponential decay.

3 0
2 years ago
Read 2 more answers
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