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Elan Coil [88]
2 years ago
7

Martin wants to ship a souvenir baseball bat that is 16 inches long in this box.

Mathematics
1 answer:
stich3 [128]2 years ago
6 0

Answer:

Step-by-step explanation:

Remark

The first job is to find the diagonal along the bottom. Pretend that the sides and top do not exist for just a moment.

Givens

It becomes a Pythagorean problem.

a = 12

b = 9

c = ?

Solution

a^2 + b^2 = c^2

144 + 81 = c^2

c^2 = 225

sqrt(c^2) = sqrt(225)

c = 15

Remark

Now you look at the diagram again, a little more closely this time.

The diagonal that you want is from the lower right to the upper closest left.

c = 15

d = 8

e = ?

e^2 = c^2 + d^2

e^2 = 15^2 + 8^2

e^2 = 225 + 64

e^2 = 289

e = 17

The shipping box is large enough

Note

There is one think you can note

You can do this entire problem in one step

a = 12       b = 9     c= 8

a^2 + b^2 + c^2 = diagonal from lower right to upper left^2

12^2 + 9^2 + 8^2 = diagonal^2

144 + 81 + 64 = diagonal ^2

289 = diagonal^2

diagonal = 17 just as it did before.

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Answer:

Part a) Option d

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Step-by-step explanation:

Part a

if we look at the options given and the data available

Option a) x^4+9

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Putting x= 3 we get (3^4) + 9 =90 but f(x) =125 so not correct option

Option b) (4^x)+9

Putting x= 2 we get (4^2) + 9 =25

Putting x= 3 we get (4^3) + 9 =73 but f(x) =125 so not correct option

Option c) x^5

Putting x= 2 we get (2^5)  =32 but f(x) =25 so not correct option

Option d) 5^x

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Putting x= 3 we get (5^3)  =125

Putting x= 4 we get (5^4)  =625

So Option d is correct.

Part (b)

3(2)^3x

can be solved as:

=3(2^3)^x

=3(8)^x

So, correct option is a

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Step-by-step explanation:

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