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3 years ago

1/3^6 what is the value

Mathematics

1 answer:

Dovator [93]3 years ago

8 0

Answer:1/ 729 is the Exact value what are your options??

Step-by-step explanation:

You might be interested in

Which of the following proportionally statements is correct?

yulyashka [42]

Answer:

$\frac{AC}{BC}=\frac{DF}{EF}$

Step-by-step explanation:

The figure given has two similar triangles: ΔABC and ΔDEF. Although the triangles are similar, their orientation is different and ΔDEF is flipped. Since the triangles are similar, their side lengths are proportional to each other. Given the orientation of the triangles, we can still see that the diagonal (hypotenuse) for the larger triangle is AC and the smaller is DF. The only answer that matches these up proportionally is the third one. Looking at the second side, BC, we can see that this matches up to the longer leg of EF on the smaller triangle. Final answer being:

$\frac{AC}{BC}=\frac{DF}{EF}$

6 0

4 years ago

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

What reason should kamal add to all of the question marks in order to completer the proof

brilliants [131]

Answer: The answers is alternate interior angles.

Step-by-step explanation: First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).

For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.

5 0

3 years ago

Find the value of x.

Rashid [163]

Answer:

Step-by-step explanation:

That quadrilateral equals to 360. So i had to add the numbers which equal 261. Then i did 360-261=99.

6 0

3 years ago

Read 2 more answers

#17. The height, H metres, of a certain species of Fir

olya-2409 [2.1K]

Answer:

The approximated height of the tree is of 112 meters.

Step-by-step explanation:

The height of a tree with a base diameter of d meters is approximated by the following formula:

$h = 35d$

In this question:

Base diameter of 3.2m, so $d = 3.2$ , and the height is in meters.

$h = 35d = 35(3.2) = 112$

The approximated height of the tree is of 112 meters.

7 0

2 years ago