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Nutka1998 [239]
3 years ago
15

Give each trig ratio as a fraction in simplest form

Mathematics
1 answer:
Volgvan3 years ago
5 0
Sin D is 21/29
cos D is 20/29
tan D is 21/20
sin E 20/29
cos E is 21/29
tan E is 20/21

sin is y/r
cos is x/r
tan is y/x

Two different perspectives of the triangle, D and E.
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Where does the point (0, - 3) lie?
White raven [17]

This point falls on none of your possible answers.

We can first tell that it falls neither positive or negative in terms of x since the x value is 0.

We can also tell the y term is negative. Therefore, it would fall on the negative y-axis.

3 0
3 years ago
g The distribution of heights of 7-year-old girls is approximately normally distributed with a mean of 47.7 inches and a standar
Lana71 [14]

Answer:

a) 90th percentile

b) X = 51.43 ( Sophia's height ) , Amy's height = 50.92

c)  0.2394

d)  46.44 inches

Step-by-step explanation:

mean value( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

Amy height = 1.34 std above mean value

Sophia height = 94th percentile of height distribution

A ) what percentile is Amy's height

To Calculate the percentile of Amy's height

P( X ≤  50.916   ) = P( (X-µ)/σ )  ≤  (50.916-47.7) /2.4)  

=P(Z ≤  1.340  ) = 0.9099  = 90th percentile

B) How Amy's height compare to Sophia's

The proportion given based on Sophia's height = 0.94

z -value at the proportion ( 0.94 ) = 1.55 ( from excel )

note z-value can be calculated using  =  ( x - µ ) / σ                      

therefore: X (Sophia's height )  = zσ + µ=   (1.55 * 2.4)  +  47.7  

 X = 51.43 ( Sophia's height ) , Amy's height = 50.92

C) percentage expected to be taller than 49.4 inches

P ( X ≥ 49.40  ) = P( (X-µ)/σ)  ≥ (49.4-47.7) / 2.4)              

= P(Z ≥ 0.708 )

= P( Z <  -0.708   )

= 0.2394

D) Below what height are the shortest 30% of 7-year old girls

( <em>u</em> ) = 47.7 inches

std ( σ )= 2.4 inches

given proportion = 30% = 0.3

The z value at 0.3 = -0.52 ( from excel )

to calculate for X ( height ) we have to apply the formula used to determine z value

z= (x-µ) /σ

hence : X = (Z * σ)  +<em> u = </em>(-0.52 * 2.4 ) + 47.7

            X = 46.44

below 46.44 inches lies about 30% of 7 year old girls height

6 0
3 years ago
Is 98.45 a rational or irrational number?
MAVERICK [17]
It is a rational number because 98.45 can be turned into a fraction. 
5 0
3 years ago
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Cuanto es 2/9 en decimal
uranmaximum [27]
2/9 as a decimal is 0.2222...
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3 years ago
Is 71 qt greater than 285 c ?
Luda [366]
Well I think they are approximately the same I'm not exactly sure but they are close to each other
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