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kaheart [24]
3 years ago
10

Select all angle measures for which sin0= -√2/2

Mathematics
2 answers:
Andrew [12]3 years ago
6 0

Answer:

5π/4 & 7π/4 & 13π/4

Step-by-step explanation:

For this problem, we simply need to find the value of theta for which arcsin(-sqrt(2)/2) is true.  This value is π/4 or 45 degrees if we had a positive.  To make the negative true, we need the angle to be in the third or fourth quadrants (i.e., 5π/4 and 7π/4).  These are two of the answer choices.  And then anytime these return (i.e., by adding 8/4 to either of these) should also be selected as a correct angle.  Thus we get 13π/4 as the final angle.

Dovator [93]3 years ago
5 0

Answer:

Option 1

Step-by-step explanation:

Total  \: value \: of \: \pi \: in \: terms \: of \: angles \:  = 180

So \: putting \: the \: of \: \pi \: in \:  \frac{3\pi}{4} gives

\frac{3  \times 180}{4} = 3  \times 45  =  135 \:  degrees

\sin(135) =  \frac{- \sqrt{2} }{2}  =  \frac{-1}{ \sqrt{2} }

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Which is a greater slope 3 or -4
castortr0y [4]

Answer:

3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.

Step-by-step explanation:

3 is greater than -4, so strictly speaking, a slope of 3 is greater than a slope of -4.

On the other hand, the steepness of a line depends on the absolute value of the slope.

|3| = 3

|-4| = 4

Since 4 > 3, the line with slope -4 is steeper than the line with slope 3.

Answer: 3 is greater than -4, but the line with slope -4 is steeper than the line with slope 3.

4 0
3 years ago
Round 0.05 to the nearest whole
Verdich [7]
0.05 rounded to the nearest whole number is 0.
Hope this helps~
5 0
3 years ago
Suppose a normal distribution has a mean of 222 and a standard deviation of 16. What is the probability that a data value is bet
valentina_108 [34]
Mean of the distribution = u = 222
Standard Deviation = s = 16

We have to find the probability that a value lies between 190 and 230.

First we need to convert these data values to z score.

z= \frac{x-u}{s}

For x = 190, 
z= \frac{190-222}{16}=-2

For x = 230
z= \frac{230-222}{16}=0.5

So, we have to find the percentage of values lying between z score of -2 and 0.5

P( -2 < z < 0.5) = P(0.5) - P(-2)

From standard z table, we can find and use these values.

P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687

Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution. 

5 0
3 years ago
Given the value of cos 20° ≈ 0.9397, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of
NARA [144]

cos(20) = sin(70)

note how 20+70 = 90

The general rule is that if x+y = 90, then cos(x) = sin(y). The rule works in reverse as well. Another way to phrase the rule is cos(x) = sin(90-x).

So,

\cos 20^{\circ} = \boxed{\sin 70^{\circ}} \approx \boxed{0.9397}

Note: if the computer doesn't like the answer of "sin 70" then try "sin(70)" and see how that works out. It's also possible that the teacher wants the single numeric value of "70" in the first box rather than the "sine" part to go along with it. Though that would be strange and incorrect since cos(20) = 70 is a false statement.

8 0
3 years ago
1. The zoo fed the large 680 pounds of food last week. Seven large animals each ate the same amount while the elephant ate 183 p
postnew [5]

Answer:

1: 71 pounds

2: 14 jellybeans

Step-by-step explanation:

1:

680 - 183 = 497

497 / 7 = 71

2:

Esther had (6 times)-7

77 + 7 = 84

84 / 6 = 14

8 0
2 years ago
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