Please help with this and more, question attached

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

4 0

<u> A = h(b1 + b2) / 2</u>

Multiply each side by 2: 2A = h(b1 + b2)

Divide each side by 'h' : 2A/h = b1 + b2

Subtract b2 from each side: <em>b1 = 2A/h - b2 </em>

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How do you do the question of 50%of 50 in math like how would you solve it

AveGali [126]

Answer:

Step-by-step explanation:

50% is half of something. half of 50 is 25.

Also there is another way to do it. 50/100 = 50%.

50/100 x 50 = 2500/100 = 25. or 50/100 = 1/2. 1/2 x 50 = 50/2 = 25.

4 0

3 years ago

Find two unit vectors orthogonal to both given vectors. i j k, 4i k

Maurinko [17]

The cross product of two vectors gives a third vector $\mathbf v$ that is orthogonal to the first two.

$\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k$

Normalize this vector by dividing it by its norm:

$\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)$

To get another vector orthogonal to the first two, you can just change the sign and use $-\mathbf v$ .