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Margaret [11]
3 years ago
5

Name three collinear points. D В. C С N

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

BD

AC

SN       (might not be one)

AB

Step-by-step explanation:

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I don't need you to work it out, just theorem(s) i need to reach the answer :)
VikaD [51]
Not sure why such an old question is showing up on my feed...

Anyway, let x=\tan^{-1}\dfrac43 and y=\sin^{-1}\dfrac35. Then we want to find the exact value of \cos(x-y).

Use the angle difference identity:

\cos(x-y)=\cos x\cos y+\sin x\sin y

and right away we find \sin y=\dfrac35. By the Pythagorean theorem, we also find \cos y=\dfrac45. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if \tan x=\dfrac43, then (by Pythagorean theorem) \sec x=\dfrac53, so \cos x=\dfrac35. And from this, \sin x=\dfrac45.

So,

\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}
7 0
3 years ago
Which is true of point K at (0, –5)? A. Point K is to the left of the y-axis. B. Point K is on the x-axis. C. Point K is on the
nirvana33 [79]
C is the correct one

hope this helps :)

3 0
2 years ago
lol Barney has 16 1 yards of fabric. To make an elf costume, he needs 5 5 2 yards of fabric. How many costumes can Barney make?
ioda
Well i happen to have that question and it is that he has 16 1/5 fabric and need 5 2/5 to make an elf costume. how many costumes can he make? Well so basically all you have to do is 16 1/5 divided by 5 2/5, which is: 3. The answer is 3 hope this helped! 
7 0
3 years ago
What is the distance between 15 miles east and 12 miles west?
inysia [295]

Answer:

27 miles.

Step-by-step explanation:

if you count from the 15 miles from the east to the 12 miles in the west, it would add up to 27. hope this helped

7 0
2 years ago
The losing candidate in a mayoral election received 10,200 votes, which represented 30% of all votes cast in the election.
ElenaW [278]

well, in the election, the losing candidate received 10200 votes, and we know that's 30% of the whole votes cast, le's say the whole amount is "x" or namely 100%.

B)

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 10200&30\\ x&100 \end{array}\implies \cfrac{10200}{x}=\cfrac{30}{100}\implies \cfrac{10200}{x}=\cfrac{3}{10} \\\\\\ 102000=3x\implies \cfrac{102000}{3}=x\implies 34000=x

A)

Dorian's 3060 is really 30% of 10200, however, the losing candidate received 30% of the total votes cast, and that is 10200, so Dorian mistakenly is using 30% of the 30% received by the losing candidate as point of reference for her total.

5 0
3 years ago
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