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3 years ago

The circular mirror below has a frame with a circumference of 28.26 inches.

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer: it is 3

Step-by-step explanation:

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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.

8 0

3 years ago

BRAINLIEST ASAP! PLEASE HELP ME :)

morpeh [17]

Answer:

○ $\displaystyle -\frac{6}{\sqrt{35}}\:[or\:-\frac{6\sqrt{35}}{35}]$

Explanation:

Looking in quadrant III, in the degree-angle range of 180° to 270°, take the inverse of cosine to get your angle measure, then plug it into the cosecant function to get the above answer.

I am joyous to assist you anytime.

7 0

3 years ago

oee [108]

Answer: (assuming the first three terms are -6, -2, 2)

(a) f(n) = 4n - 10

(b) 30

Step-by-step explanation:

(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)

(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:

2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4

Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:

-6 - 4 = -10.

At this point, you can write the equation:

f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)

f(n) = 4n - 10 (reorganize by value of exponents)

(b) In order to find the 10th term, you just need to plug it into the previous equation:

where n = 10, and f(n) = 4n - 10,

f(n) = 4(10) - 10 (substitute n into the equation)

f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)

f(n) = 30 (subtract)

8 0

3 years ago

I am a product. one of my factors is 2. the other factor is 1 greater than 4. what number am i

Vlad1618 [11]

2 x 5 = 10

You are the number 10.

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3 years ago

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Aleonysh [2.5K]

Is there any answer choice cause it will make more easier

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3 years ago

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