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3 years ago

If anyone could help that would be great / right answer gets brainilest

Mathematics

2 answers:

Keith_Richards [23]3 years ago

7 0

2.69 cm would be the answer

Angelina_Jolie [31]3 years ago

3 0

Answer:

width = 2.9 cm

Step-by-step explanation:

The perimeter of a rectangle = 2l + 2w ( l is the length and w the width )

Here l = 8.3, thus

(2 × 8.3) + 2w = 22.4, that is

16.6 + 2w = 22.4 ( subtract 16.6 from both sides )

2w = 5.8 ( divide both sides by 2 )

w = 2.9

Hence width = 2.9 cm

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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.

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3 years ago