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Ivan
3 years ago
5

PLEASE HELP I WILL MARK BRAINLIEST

Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Answer:

(cos^2(x)-1) cot (-x); last expression.

Step-by-step explanation:

You'll first need to simplify the given expression. Then look at each option. To find out whether or not two expressions are equivalent see if they have the same value irrespective of the value of the variables in them.

1) (1-cos^2(x)) cot (-x) is equivalent

2) (cos^2(x)-1) cot(x) is equivalent

3) (sin62(x)-10 tan (x) is equivalent

4) (cos^2(x)-1) cot (-x) is not equivalent.

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Answer:

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Step-by-step explanation:

∠F = 180° - (46° + 90°) = 44°

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Find tan A in exact value.
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Step-by-step explanation:

The exact value of tan A is 1

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At 59 F, crickets chirp at a rate of 76 times per minute, and at 65 F they chirp 100 times per minute. Write an equation in slop
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Y = 4x-160 is your simplified answer to this question.
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3 years ago
In clinical trials of a newly developed cold medicine, it was found that 45 out of 200 individuals that took the new medicine (G
ddd [48]

Answer:

Step-by-step explanation:

Group 1 Information:

sample size  :  n₁  =  200

individuals with stomach as a side effect  x₁  = 45

p₁ =  45 / 200   p₁ = 0,225   then  q₁  =  1  -  p₁   q₁ =  0,775

Group 2 Information:

sample size  :  n₂ =  150

individuals with stomach as a side effect  x₂  = 33

p₂  =  33/150  p₂ = 0,22   q₂   =  0,78

Hypothesis Test:

Null Hypothesis:                             H₀         p₁   =  p₂

Alternative Hypothesis                  Hₐ         p₁   >   p₂

The alternative hypothesis indicates that the test is a one-tail test  to the right

Significance level is   α = 0,01   ( confidence interval  99%)

From  z-table we get z(c) for that α     z(c) =  2,32

To calculate z(s)

z(s)  =  (  p₁  -  p₂ ) / EED

EED =  √ ( p₁*q₁)/n₁  +  ( p₂*q₂)/n₂

EED =  √ ( 0,225*0,775)/200   + (0,22*0,78)/150

EED =  √ 0,0008718  + 0,001144

EED =  0,045

z(s)  =  ( 0,225  -  0,22 ) / 0,045

z(s)  =  0,005 / 0,045

z(s)  =  0,11

Comparing z(s)  and  z(c)

z(s)  <  z(c)        0.11 < 2.32

Then z(s) is in the acceptance region. We accept  H₀ . We don´t have evidence to support differences between the two groups.

6 0
3 years ago
Janelle drew KL in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL. Based on the given information, what are
Tems11 [23]

Answer:

w = 36 centimeters

y = 24 centimeters

Step-by-step explanation:

The exact question is as follows :

Given - Janelle drew KL in isosceles trapezoid FGHJ to create similar trapezoids FKLJ and KGHL.

To find - Based on the given information, what are the values of y and w in centimeters?

Solution -

We can see that from the diagram,

Trapezoid FKLJ is 3 times bigger than Trapezoid KGHL

So,

The side KL = 3 times side GH

⇒12 = 3×4

⇒12 = 12 centimeters

So,

side FJ = 3 times side KL

⇒w = 3×12

⇒w = 36 centimeters

Now,

The side KF = 3 times side KG

⇒KF = 3×8

⇒KF = 24

Now,

We know,

In  isosceles trapezoid  two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length

So,

Side LJ = side KF

⇒y = 24 centimeters

∴ we get

w = 36 centimeters

y = 24 centimeters

5 0
3 years ago
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