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zimovet [89]
3 years ago
10

Find the value of x. A. 18 B. 22 C. 24 D. 28

Mathematics
2 answers:
spayn [35]3 years ago
5 0
A. 18 is correct it smaller
nikitadnepr [17]3 years ago
4 0

<u>Answer:</u>

The correct answer option is A. 18.

<u>Step-by-step explanation:</u>

We have a right angled triangle with the complete values of two sides: the perpendicular and the base with side lengths 40 and 30 respectively.

We can use the Pythagoras Theorem to find the hypotenuse.

Assuming the hypotenuse to be A:

A^2 = 30^2+40^2

A^2= 900+1600

A^2=2500

\sqrt{A^2} = \sqrt{2500}

A=50

To find x, we will subtract 32 from the length of hypotenuse:

x = 50-32=18

Therefore, the value of x = 18.


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3 years ago
Find a vector 3 units long in the opposite direction from v = 〈3, 1,-4).
lutik1710 [3]

Unit vector along the direction v = <3,1,-4> is :

\hat{v} = \dfrac{3i + j  -4k}{\sqrt{3^2 + 1^2 + 4^2}}\\\\\hat{v} = \dfrac{3i + j -4k}{5.1}

So, unit vector opposing the \hat{v} is :

\hat{v'} = -\hat{v}\\\\\hat{v'} = -( \dfrac{3i + j -4k}{5.1})\\\\\hat{v'} = \dfrac{-3i - j +4k}{5.1}

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