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Stells [14]
3 years ago
15

Multiply mentally.0.012 × 400

Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0
The answer would be 4.8
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In how many ways can 12 books be displayed on a shelf if the given number of books are available
Cerrena [4.2K]
The answer is not applicable. theres not enough information. -fvmousskaylaa
4 0
3 years ago
Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.
vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}

So, it becomes,

\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ

Hence, the value of cos theta is -0.352.

8 0
3 years ago
How many 4 digits codes can be formed with odd numbers without repetition? 0 is not allowed.
Sliva [168]

9514 1404 393

Answer:

  120

Step-by-step explanation:

The number of permutations of 5 things taken 4 at a time is 120.

__

There are 5 odd digits. You want to choose 4 of them, then arrange those 4 in all possible ways. There are 5·4·3·2 = 120 ways to do that.

120 4-digit codes can be formed using odd digits with no repetition.

3 0
3 years ago
Solve for x. Please:)
lutik1710 [3]

Answer:

  x = 3

Step-by-step explanation:

The smaller triangle and larger one are similar, so corresponding sides are proportional.

  8/4 = (8 +(x -1))/5

  10 = x +7 . . . . . . . . . multiply by 5 and simplify

  3 = x . . . . . . . . . subtract 7

__

<em>Alternate solution</em>

The short segments are also proportional:

  (x -1)/(5 -4) = 8/4

  x -1 = 2 . . . . simplify

  x = 3 . . . . . . add 1

3 0
2 years ago
What percent of 120 is 72<br> A- 86.4%<br> B- 60%<br> C- 1.67%<br> D- 0.6%
enot [183]
See the picture below

8 0
3 years ago
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