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pashok25 [27]
3 years ago
8

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
yan [13]3 years ago
7 0

Answer:

  138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

  SA = B + LA

  = πr² + (1/2)(2πrh) . . . . where h is the slant height

  = (πr)(r +h)

Filling in the numbers, you have ...

  SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

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Which of the following equations is equivalent to S=pi r^2 h
lara31 [8.8K]

The equation that is equivalent to S=pi r^2 h is h = S/pir^2

<h3>Subject of formula</h3>

This is a way of representing a variable with another. Given the equation

S=pi r^2 h

We are to make 'h" the subject of the formula.

Divide both sides by pir^2

S/pir^2 =pi r^2 h/pir^2

h = S/pir^2

Hence the equation that is equivalent to S=pi r^2 h is h = S/pir^2

Learn more on subject of formula here: brainly.com/question/657646

#SPJ1

4 0
2 years ago
a 34 gram sample of a substance that's used to treat thyroid disorders has a k-value of 0.137. find the substance's half-life, i
Ira Lisetskai [31]

Answer:

5.1 days

Step-by-step explanation:

Given in the question,

initial amount of substance = 34 grams

k-value = 0.137

To find the half life of this substance we will use following formula

N(0)/2 = N(0)e^{-kt}

here N(0) is initial amount of substance

        t is time in days

Plug values in the formula

34 /2 = 34e^{-0.137t}

1/2 = e^{-0.137t}

Take logarithm on both sides

ln(1/2) = ln( e^{-0.137t})

ln(1/2) = -0.137t

t = ln(1/2) / -0.137

t = 5.059

t ≈ 5.1 days (nearest to tenths)

3 0
3 years ago
Describe the expression (4x÷2)-9y
sertanlavr [38]
<span>(4x ÷ 2) - 9y is difference of two terms.</span>
4 0
3 years ago
Subtract. <br> 7x-​(3+5​x) pleaz
mario62 [17]
7x - 3 - 5x = 2x - 3
8 0
3 years ago
Help please it is due today
Svet_ta [14]

Answer:

Jane's situation is the one which represents a porportional relationship.

Step-by-step explanation:

To verify the proportionality betwen a ratio you have to divide all the ratios and all them have to get the same constant factor.

So, if you divide the matt's ratios you aren't gonna find the same constant factor

12/1=12

20/2=10

31/2=15,5

But if you try with Jane's ones:

12/1=12

24/2=12

36/3=12

This 12 is the known constant factor, which show us that these ratios are proportional.

8 0
3 years ago
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