The answer is not 15

Mathematics

2 answers:

pickupchik [31]3 years ago

8 0

Parallelogram = base * h
base = 10, height = 3
10 * 3 = 30

Answer: 30 cm^2

r-ruslan [8.4K]3 years ago

6 0

The area would equal 30

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What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

3 years ago

%to find the euclidean distance between two vectors, find the 2-norm of the difference of %those vectors. enter column vectors u

sergij07 [2.7K]

the norm of the distance is |d|=97.95 ft

the vector of the distance is d=96i+18j+27k

Vector : a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.
an organism, typically a biting insect or tick, that transmits a disease or parasite from one animal or plant to another.

Step-by-step explanation:
As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.
Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.

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