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3 years ago

A point has zero dimension. True or False?

Mathematics

2 answers:

djverab [1.8K]3 years ago

7 0

Answer:

True

Step-by-step explanation:

A point is zero-dimensional with respect to the covering dimension because every open cover of the space has a refinement consisting of a single open set.

Dominik [7]3 years ago

6 0

Answer: Its true that a point has zero dimensions

Step-by-step explanation:

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What is 25/22 as a decimal rounded to the nearest hundredth?

Alex777 [14]

Write 35/22 as a decimal How to convert the fraction 35/22 to a decimal value. Please, input values in this format: a b/c or b/c.
<span>
Examples: Four tenths should be typed as 4/10. One and three-half should be typed as 1 3/2. For mixed numbers, please leave a space between the the integer and the fraction.

</span><span>Enter a fraction value:
</span>35/22/ Ex.: 1/2, 2 1/2, 5/3, etc. Note that 2 1/2 means two and half = 2 + 1/2 = 2.5/ Your answer 1.5909090909090908

8 0

3 years ago

The graph of f passes through left parenthesis negative 4 comma 3 right parenthesis(−4,3) and is perpendicular to the line that

shusha [124]

Answer:

The answer to your question is y = -11/2x - 19

Step-by-step explanation:

Data

Point (-4, 3)

⊥ to the line x- intercept of 22 and y-intercept of -4.

Process

1.- Find the equation of the perpendicular line

This line has passes through the points (22, 0) and (0, -4)

Slope = $\frac{-4 - 0}{0 - 22} = \frac{-4}{-22} = \frac{2}{11}$

2.- Find the slope of the new equation

Slope = $\frac{-11}{2}$ because the lines are perpendicular

3.- Find the equation of the new line

y - 3 = -11/2 (x + 4)

y - 3 = -11/2x - 44/2

y - 3 = -11/2 x - 22

y = -11/2 x - 22 + 3

y = -11/2x - 19

See the graph below

4 0

3 years ago

Need help???!!!!!!!!!!!!!!!

solong [7]

Answer:

Step-by-step explanation:

because it makes sense

5 0

3 years ago

Read 2 more answers

If sin theta = (4)/(7), theta in quadrant II, find the exact value of (a) cos theta (b) sin (theta + (pi) / (6) ) (c) cos (the

EleoNora [17]

Answer:

a) $\cos(\theta) = \frac{\sqrt[]{33}}{7}$

b) $\sin(\theta + \frac{\pi}{6})\frac{-3\sqrt[]{11}+4}{14}$

c) $\cos(\theta-\pi)=\frac{\sqrt[]{33}}{7}$

d) $\tan(\theta + \frac{\pi}{4}) = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}$

Step-by-step explanation:

We will use the following trigonometric identities

$\sin(\alpha+\beta) = \sin(\alpha)\cos(\beta)+\cos(\alpha)\sin(\beta)$

$\cos(\alpha+\beta) = \cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)$ $\tan(\alpha+\beta) = \frac{\tan(\alpha)+\tan(\beta)}{1-\tan(\alpha)\tan(\beta)}$ .

Recall that given a right triangle, the sin(theta) is defined by opposite side/hypotenuse. Since we know that the angle is in quadrant 2, we know that x should be a negative number. We will use pythagoras theorem to find out the value of x. We have that

$x^2+4^2 = 7 ^2$

which implies that $x=-\sqrt[]{49-16} = -\sqrt[]{33}$ . Recall that cos(theta) is defined by adjacent side/hypotenuse. So, we know that the hypotenuse is 7, then

$\cos(\theta) = \frac{-\sqrt[]{33}}{7}$

b)Recall that $\sin(\frac{\pi}{6}) =\frac{1}{2} , \cos(\frac{\pi}{6}) = \frac{\sqrt[]{3}}{2}$ , then using the identity from above, we have that

$\sin(\theta + \frac{\pi}{6}) = \sin(\theta)\cos(\frac{\pi}{6})+\cos(\alpha)\sin(\frac{\pi}{6}) = \frac{4}{7}\frac{1}{2}-\frac{\sqrt[]{33}}{7}\frac{\sqrt[]{3}}{2} = \frac{-3\sqrt[]{11}+4}{14}$

c) Recall that $\sin(\pi)=0, \cos(\pi)=-1$ . Then,

$\cos(\theta-\pi)=\cos(\theta)\cos(\pi)+\sin(\theta)\sin(\pi) = \frac{-\sqrt[]{33}}{7}\cdot(-1) + 0 = \frac{\sqrt[]{33}}{7}$

d) Recall that $\tan(\frac{\pi}{4}) = 1$ and $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}=\frac{-4}{\sqrt[]{33}}$ . Then

$\tan(\theta+\frac{\pi}{4}) = \frac{\tan(\theta)+\tan(\frac{\pi}{4})}{1-\tan(\theta)\tan(\frac{\pi}{4})} = \frac{\frac{-4}{\sqrt[]{33}}+1}{1+\frac{4}{\sqrt[]{33}}}$

5 0

3 years ago

Convert the rational number below to a decimal. Round to the

masha68 [24]

Answer:

10.33

Step-by-step explanation:

$\frac{31}{3}$ is equal to 31 divided by 3, which is 10.33333333333333333...

Rounded to the nearest hundredth we get 10.33.

Hope this helps!

5 0

4 years ago