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lukranit [14]
3 years ago
7

The figure is made up of a cylinder and 2 cones. What is the volume of the composite figure? Use 3.14 for Pi. Round to the neare

st hundredth.
Please help!!!!!
A cylinder and 2 cones. All have a radius of 2 millimeters. The cones have heights of 4 millimeters and 2 millimeters, and the cylinder has a height of 5 millimeters.

Recall the formulas V = B h and V = one-third B h

Answer——————- millimeters cubed
Mathematics
1 answer:
babunello [35]3 years ago
5 0

Answer:

96.29  mm^3

Step-by-step explanation:

Cylinder

V = pi r^2 h

V = 3.14 ( 2)^2 ( 5)

V = 3.14 *4*5

V =62.8 mm^3

Cone

V = 1/3 pi r^2 h

V = 1/3 (3.14) 2^2 ( 4)

V =1/3 (3.14) 4*4

V =16.746666666 mm^3

There are 2 cones so multiply by 2

Both cones = 33.493333333333 mm ^3

Add the cones and the cylinder together

62.8+33.493333333 =96.293333333

Rounding to the nearest hundredth

96.29  mm^3

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Select the two values of x that are roots of this equation.
VMariaS [17]

Answer:

x = 2, -3

Step-by-step explanation:

x^2 + 2x- 6 = 0\\=>x^2 +3x - 2x- 6 = 0\\=>x(x+3) - 2(x +3) = 0\\=> (x-2)(x+3) = 0\\\\

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4 0
3 years ago
10. An arithmetic sequence has this recursive formula. What is the explicit formula?​
Mrrafil [7]

Answer:

a_{n}=45-3n

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

a_{n} =a_{1} +(n-1)d\\

d is the common difference, can be found by:

d=a_{n}-a_{n-1}=-3

Subtituting the a_{1} and d

You get:

a_{n}=42+(-3)(n-1)=45-3n

Method 2 (Mathematical induction):

Assume it is in form a_{n}=45-3n

Base step: a_{1} =45-3(1)=42

Inducive hypophesis: a_{n}=45-3n

GIven: a_{n+1} =a_{n}-3

a_{n+1}=45-3n-3=45-3(n+1)

Proved by mathematical induction

a_{n}=45-3n

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4 ants = 24 legs 2 spiders = 16 legs
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