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Gnoma [55]
2 years ago
11

Consider ∠A such that cos A = 12/13.

Mathematics
1 answer:
Georgia [21]2 years ago
5 0

A)

Using the unit circle, for the cos function to be positive, angle A must lie in either <u>quadrant I or quadrant IV</u>

B)

Using the unit circle, If the sine is negative, angle A must lie in either quadrant III or quadrant IV. Since we know that the cosine is positive, this only leaves <u>quadrant IV</u>

<u />

D)

cos = adj/hyp

Using Pythagorean theorem,

12^{2} +b^{2} = 13^{2}

b = ±5 (we know its -5 since we know sinA is negative)

this means that the x coord is 12, and the y coord is -5

any proportion of these two numbers would work as an answer

e.g. <u>(12, -5), (24,-10),  (12/13, -5/13),</u> are all valid answers

E)

sinA = opp/hyp

<u>sinA = -5/13</u>

tanA = opp/adj

<u>tanA = -5/12</u>

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A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given
Vedmedyk [2.9K]

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

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3 years ago
HELP ME ASAP!!!!! I WILL GIVE BRAINLIEST
liubo4ka [24]
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6 0
3 years ago
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Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall a
kherson [118]

Answer:

Yes, the background color appear to have an effect on the variation of word recall​ scores

Step-by-step explanation:

Given that results from scores on a test of word recall are given are as follows:

Two test scores have independent means and having normal distribution.

H_0: Means are equal\\H_a: Means are not equal

(Two tailed test at 5% significance level)

Group   Group One     Group Two  

Mean    15.1400 12.4200

SD              5.9100 5.4200

SEM     0.9990 0.8910

N                35       37      

The mean of Group One minus Group Two equals 2.7200

standard error of difference = 1.335

Hence t statistic = 2.0369

p value = 0.0454

Since p <0.05 we reject null hypothesis

Yes, the background color appear to have an effect on the variation of word recall​ scores

5 0
3 years ago
If the area of a square plot of<br> land is 9 miles squared, what is<br> the perimeter of this land?
tatyana61 [14]

Answer:

\huge{ \fbox{ \sf{12 \: miles}}}

Step-by-step explanation:

Given,

Area of a square plot = 9 miles

<u>First</u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>land</u>

\boxed{ \sf{Area \: of \: a \: square \:  =  \:  {length}^{2} }}

\mapsto{ \sf{9 =  {length}^{2} }}

\mapsto{ \sf{ {length}^{2}  = 9}}

\mapsto{ \sf{ \sqrt{ {(length)}^{2} }} =  \sqrt{9} }

\mapsto{ \sf{length = 3 \: miles}}

<u>Now</u><u> </u><u>,</u><u> </u><u>finding</u><u> </u><u>the</u><u> </u><u>perimeter</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>land</u> :

\boxed{ \sf{perimeter \: of \: a \: square = 4 \: * length}}

\mapsto{ \sf{perimeter \:  =  \: 4 \:  * \: 3}}

\mapsto{ \sf{perimeter \:  = 12 \: miles}}

The perimeter of the land = 12 miles

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

3 0
3 years ago
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
gavmur [86]

Answer:

Tobias did best on the aptitude test.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For Emilio

Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.

z = (x-μ)/σ

z = 76 - 70.6/9

z = 0.6

For Alissa

Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.

z = (x-μ)/σ

z = 298.8 - 282/24

z = 0.7

For Tobias

Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.

z = (x-μ)/σ

z = 8.04 - 7.2/0.4

z = 2.1

Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.

8 0
3 years ago
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