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4 years ago

Find the inverse function of F(x) = 2arccosx. F-1(x) = ____

Mathematics

1 answer:

Dmitriy789 [7]4 years ago

5 0

ANSWER

${f}^{ - 1} (x) = \cos( \frac{x}{2} )$

EXPLANATION

The given function is

$f(x) = 2 \arccos(x)$

Let

$y= 2 \arccos(x)$

Interchange x and y.

$x= 2 \arccos(y)$

Divide both sides by 2.

$\frac{x}{2} = \arccos(y)$

We take cosines to get,

$\cos( \frac{x}{2} ) = y$

${f}^{ - 1} (x) = \cos( \frac{x}{2} )$

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Write the ratio of 42 coins/98 bills as a fraction in the simplest form

rjkz [21]

Answer:

3 coins / 7 bills

Step-by-step explanation:

42c/98b --(:2)--> 21c/49b --(:7)--> 3c/7b

42c/98b ---( : 14 = (2*7))--> 3c/7b

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3 years ago

Lena has drawn a line from one corner of a rectangle to the opposite corner the lines dividing each of the right angles and two

Stolb23 [73]

Answer:

Both are Scalene right angle triangle 90 °, 58 ° 32°

We know the length of the first triangle has different lengths, just like the other triangle is the same and this has different lengths. This is why we call them scalene right angles, as they both have 90 ° on the corners that went untouched within the rectangle.

Step-by-step explanation:

Lena has drawn a line from one corner of a rectangle to the opposite corner. The lines dividing each of the right angles, being two angles, each measure 32 and 58 which David best describes the resulting triangles.

If two angles are opposite ends one is 32 degree, the other is 58-

Then either triangles for two angles total 90 each and therefore being a rectangle show the rectangle had regular 90 degree corners before being divided. We cna check this as after lines being drawn corner end to its corner opposite we see each have a supplementary angle of 32 or 58 = 90 and 90 should we draw a line from the corner exterior to make a straight line appear longer on each base or its parallel base or top on the opposite corner. As long as they are drawn parallel exterior corner lines and where 90 degree is highlighted looking like L's on each too.

if the triangles are 32 + 58 either end then their 3rd angle on each triangle will be 90 where we call this triangle simply scalene right angle triangle as no sides are the same length within the triangle.

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4 years ago

Triangle EFG has vertices at E(2, 5), F(2, –1), and G(–3, –1). What is the perimeter of triangle EFG to the nearest tenth.

eimsori [14]

Answer:

18.8

Step-by-step explanation:

the distance between E and F is 6

the distance between F and G is 5

the distance between E and G is 7.8102

add them all together to get 18.8102

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