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3 years ago

Find the volume of a beverage can that has a height of 7.6 in and a radius of 1.2 in. Use 3.14 as an approximation

Mathematics

1 answer:

Mkey [24]3 years ago

7 0

Answer:

V = 34.36 in^3

Step-by-step explanation:

Look at the attachment

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The quadratic function g(x) = a.ca + bx+c has the

Mumz [18]

The value of b is 14 and the value of c is 65

<h2>Explanation:</h2>

The quadratic function is a function of the form:

$f(x)=ax^2+bx+c$

Here we know that the leading coefficient $a=1$ so we reduce our equation to:

$g(x)=x^2+bx+c$

The roots are those values at which $g(x)=0$

So:

$x^2+bx+c=0 \\ \\ First \ root: \\ \\ (-7+4i)^2+b(-7+4i)+c=0 \\ \\ (-7)^2-2(7)(4i)+(4i)^2-7b+4bi+c=0 \\ \\ 49-56i+16i^2-7b+4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49-56i+16(-1)-7b+4bi+c=0 \\ \\ 49-56i-16-7b+4bi+c=0 \\ \\ 33-56i-7b+4bi+c=0 \\ \\ \\$

$Second \ root: \\ \\ (-7-4i)^2+b(-7-4i)+c=0 \\ \\ (-1)^2(7+4i)^2+b(-7-4i)+c=0 \\ \\ (7)^2+2(7)(4i)+(4i)^2-7b-4bi+c=0 \\ \\ 49+56i+16i^2-7b-4bi+c=0 \\ \\ \\ Simplifying: \\ \\ 49+56i+16(-1)-7b-4bi+c=0 \\ \\ 49+56i-16-7b-4bi+c=0 \\ \\ 33+56i-7b-4bi+c=0$

So we have:

$(1) \ 33-56i-7b+4bi+c=0 \\ \\ (2) \ 33+56i-7b-4bi+c=0 \\ \\ \\ Subtract \ 2 \ from: \\ \\ 33-56i-7b+4bi+c-(33+56i-7b-4bi+c)=0 \\ \\ 33-56i-7b+4bi+c-33-56i+7b+4bi-c=0 \\ \\ \\ Combine \ like \ terms: \\ \\ 33-33-56i-56i-7b+7b+4bi+4bi+c-c=0 \\ \\ -112i+8bi=0 \\ \\ Isolating \ b: \\ \\ b=\frac{112i}{8i} \\ \\ \boxed{b=14}$

Finding c from (1):

$33-56i-7b+4bi+c=0 \\ \\ \\ Substituting \ b: \\ \\ 33-56i-7(14)+4(14)i+c=0 \\ \\ 33-56i-98+56i+c=0 \\ \\ -65+c=0 \\ \\ \boxed{c=65}$

<h2>Learn more:</h2>

Complex conjugate: brainly.com/question/2137496

#LearnWithBrainly

5 0

3 years ago

A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if th

Oxana [17]

1 revolution of a circle = circumference of that circle.

1 revolution of a circle with the diameter of 28 inches = πd=28ππd=28π inches. Hence, x revolutions per second = 28πx28πx inches per second = 60∗28πx60∗28πx inches per minute.

Given that 60∗28πx=35πn60∗28πx=35πn --> n=60∗28πx35π=48xn=60∗28πx35π=48x.

7 0

3 years ago

What is the volume of a sphere with a radius of 3/2 feet?

Dmitry_Shevchenko [17]

Around 4.5π. This can be determined by the volume of a sphere formula.

8 0

3 years ago

Read 2 more answers

I need help with 18 only!

grigory [225]

4%, put 32 into 32/100 and 28 into 28/100.

7 0