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3 years ago

An acute angle can have all of the following measures except 89 45 10 0

Mathematics

2 answers:

Ket [755]3 years ago

4 0

Answer:

0 is not an acute angle.

Step-by-step explanation:

If the measurement of an angle is between 0 and 90 degrees then we called it an acute angle. It means acute angle is greater than 0 and less than 90 degrees.

Mathematically, we have

0° < Acute angle < 90°

Among all the given options, the angle 89, 45 and 10 is in between 0 and 90 degrees. Hence, these are acute angle.

Thus, 0 is not an acute angle.

Naddik [55]3 years ago

3 0

0 is the only degree that cannot work

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Find all solutions in the region [0,2pi) for the equation cos^2(2x)-sin^2(2x)=0

Lynna [10]

$\cos^{2}(2x)-\sin^{2}(2x)=0$
$\rightarrow \sin^{2}(2x)=\cos^{2}(2x)$
$\rightarrow \frac{\sin^{2}(2x)}{\cos^{2}(2x)}=1$
$\rightarrow \tan^{2}(2x)=1$
$\rightarrow \tan(2x)=\pm 1$

$2x$ can range anywhere in $[0, 4\pi)$
So:
$\rightarrow 2x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}, \frac{9\pi}{4}, \frac{11\pi}{4}, \frac{13\pi}{4}, \frac{15\pi}{4}$
$\rightarrow x=\frac{\pi}{8}, \frac{3\pi}{8}, \frac{5\pi}{8}, \frac{7\pi}{8}, \frac{9\pi}{8}, \frac{11\pi}{8}, \frac{13\pi}{8}, \frac{15\pi}{8}$

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3 years ago

Tom has a can of paint That covers 37 and a 1/2 m² each board on the fence has an area of 3/16th square meters how many boards c

Nutka1998 [239]

Answer:

200

Step-by-step explanation:

3/16= .1875

Take the amount of paint you have, 37.5, and divide it by the amount of space, .1875

37.5/.1875= 200

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3 years ago

What would .1904 be as a fraction

Blababa [14]

Answer:

Step-by-step explanation:

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2 years ago

the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons

padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

<u>Upper Limit</u>

$\dfrac{11}{16} + \dfrac{1}{64}$

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

$\dfrac{11*4}{16*4} + \dfrac{1}{64}$

$\dfrac{11*4}{16*4} + \dfrac{1}{64}$ Which results in

$\dfrac{44}{64} + \dfrac{1}{64}$

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

<u>Lower Tolerance</u>

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

$\dfrac{11}{16} - \dfrac{1}{64}$

Your answer should be 3 and 43/64

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3 years ago

Suden wants to know the theoretical and experimental probability of rolling a number smaller than a 3 on a 6-sided number cube n

MakcuM [25]

Answer:

The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____

Step-by-step explanation:

The experimental probability is

P (<3) = ( getting a one or 2)/ number of times that he rolled

He rolled a one or a two 2 times of the 8 times rolled

= 2/8 = 1/4

Theoretical probability is what we expect happen

P (<3) = (getting a one or two) / 6

= 2/6 = 1/3

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3 years ago