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3 years ago

PLEASE ANSWER ALL 4 WITH EXPLANATION FOR BRAINLEST ANSWER

Mathematics

1 answer:

slavikrds [6]3 years ago

8 0

I think you have to do KMA+YMA=180 and find x. then substitute for x but I'm not 100% sure so you should wait for another person to confirm it.

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Convert the improper fraction 35/8 into a mixed number

kondor19780726 [428]

35/8 = (4 * 8 = 32) and 3 left over so answer is 4 3/8

7 0

3 years ago

in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)

Nimfa-mama [501]

Answer:

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

Step-by-step explanation:

Let $\vec u$ and $\vec a$ , from Linear Algebra we get that component of $\vec u$ parallel to $\vec a$ by using this formula:

$\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a$ (Eq. 1)

Where $\|\vec a\|$ is the norm of $\vec a$ , which is equal to $\|\vec a\| = \sqrt{\vec a\bullet \vec a}$ . (Eq. 2)

If we know that $\vec u =(2,1,1,2)$ and $\vec a=(4,-4,2,-2)$ , then we get that vector component of $\vec u$ parallel to $\vec a$ is:

$\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)$

$\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

Lastly, we find the vector component of $\vec u$ orthogonal to $\vec a$ by applying this vector sum identity:

$\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}$ (Eq. 3)

If we get that $\vec u =(2,1,1,2)$ and $\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$ , the vector component of $\vec u$ is:

$\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)$

$\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$

The component of $\vec u$ orthogonal to $\vec a$ is $\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)$ .

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3 years ago

the formula for the area of a triangle is 1/2bh, find the area of a right triangle with a hypotenuse length of 13 in and one len

adoni [48]

Answer:

Step-by-step explanation:

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3 years ago

HElP what There is a $20 shirt and it is 1/3% off

Whitepunk [10]

Answer:

13.4 left

Step-by-step explanation:

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3 years ago

Read 2 more answers

if j is the number of integers between 1 and 500 that are divisible by 9 and k is the number of integers between 1 and 500 that

Morgarella [4.7K]

Answer:

126

Step-by-step explanation:

The number of numbers divisible by 9 is ...

j = floor(500/9) = 55

The number of numbers divisible by 7 is ...

k = floor(500/7) = 71

Then the total (j+k) is ...

j +k = 55 +71 = 126

3 0

4 years ago