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antoniya [11.8K]
2 years ago
10

A juice can is 16 cm tall and has a diameter of 9 cm. The ends of the can are tin and the body is cardboard.

Mathematics
1 answer:
Eduardwww [97]2 years ago
7 0

Answer:

I'll setup the problem and you can do the calculations

Step-by-step explanation:

a.

V  = \pi( {D}^{2}  \div 4)H

V = volume; D = diameter; H = height of can

b.

Area of the Tin is the total area of the 2 Tin circles

one circle's area A is

A = \pi {D}^{2} \div 4

A = area; D = diameter

calculate A

Then multiply by 2

c.

The area of the cardboard is the circumstance of the circle

times the height

SA = \pi DH

d.

add answers from b and c

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Scilla [17]

Answer:

2 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By =
PIT_PIT [208]

Answer:

3x - y = 10

Step-by-step explanation:

y-5 = 3(x-5)

y - 5 = 3x-15

-3x+y= -10

3x - y = 10

5 0
2 years ago
PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher
lana66690 [7]

Answer:

a) n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Part a

The estimated proportion for this case is \hat p =0.76

Our interval is at 90% of confidence, and the significance level is given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. The critical values for this case are:

z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

The margin of error desired is given ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

Replacing we got:

n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83  

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724  

And rounded up we have that n=6724

3 0
3 years ago
The state of Colorado is in the shape of a rectangle whose length is 380 miles and whose length is 380 miles and whose width is
KiRa [710]
Area of a rectangle is Length times width
So basically 380 * 280 should be the answer
The answer should be 106400
8 0
3 years ago
Read 2 more answers
Question:
AleksandrR [38]

Answer:

x=8 and y=3 (So, yes!)

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

−x+4y=4;−x+3y=1

Step: Solve −x+4y=4 for x:

−x+4y+−4y=4+−4y(Add -4y to both sides)

−x=−4y+4

-x/-1 = -4y+4/-1 (Divide both sides by -1)

x=4y−4

Step: Substitute 4y−4 for x in −x+3y=1:

−x+3y=1

−(4y−4)+3y=1

−y+4=1(Simplify both sides of the equation)

−y+4+−4=1+−4(Add -4 to both sides)

−y=−3

-y/-1 = -3/-1 (Divide both sides by -1)

y=3

Step: Substitute 3 for y in x=4y−4:

=4y−4

x=(4)(3)−4

x=8(Simplify both sides of the equation)

<u>Answer:</u>

x=8 and y=3

4 0
1 year ago
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