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3 years ago

Write 48C1thirteen in the base-ten system.

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

3 0

Answer:

Step-by-step explanation:

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Six by 3 or six across 3 down

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Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your ans

aniked [119]

Answer:

$(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û = $\frac{u}{|u|}$ ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = $\sqrt{(4)^2 + (-4)^2}$

|u| = $\sqrt{16 + 16}$

|u| = $\sqrt{32}$ = $4\sqrt{2}$

Now, substitute u and |u| into equation (i) as follows;

û = $\frac{(4, -4)}{4\sqrt{2} }$

û = $(\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} } )$

û = $(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

Therefore, the unit vector is $(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

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3 years ago

The Cutty Sark is a famous clipper ship (look it up)! A Cutty Sark model kit advertises a scale ratio of 1: 78, a length of 45 i

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Answer: If the ratio is 1:78, a) the Cutty Sark is 3510 inches long or 292.5 ft; b) the Cutty Sark is 2028 inches tall or 169 ft according to this model

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3 years ago

Find the volume of the figure.<br> A) 33 in^3 <br> B) 150 in^3 <br> C) 233 in^3 <br> D) 425 in^3

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5x5x5=125
12x3=36
36x3=108
108+125=233
233in^3 is the answer

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Please help me The difference of two numbers is 9. If the larger number is one more than twice the smaller number, find the lage

Helen [10]

Answer:

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9 equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

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3 years ago