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agasfer [191]
3 years ago
5

Right angle trigonometry: What trig ratio do we use? & Identify the hypotenuse, opposite, or adjacent.

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

x = 3.7

Step-by-step explanation:

Reference angle = 24°

Hypotenuse = 4

Side adjacent to reference angle = x

We would apply the trigonometric ratio, CAH, which is:

Cos 24 = adj/hyp

Cos 24 = x/4

4 × Cos 24 = x

x = 3.65418183 ≈ 3.7 (to nearest tenth)

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The TI-83/84 Plus calculator can be used to generate random data from a normally distributed population. The command randNorm(10
postnew [5]

Answer:

99% confidence interval for the mean value from the random number generator is a lower limit of 85.87 and an upper limit of 110.93.

Step-by-step explanation:

Confidence interval = mean +/- margin of error (E)

mean = 98.4

sd = 16.3

n = 15

degree of freedom (df) = n - 1 = 15 - 1 = 14

confidence level (C) = 99% = 0.99

significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 14 df and 1% significance level is 2.977.

E = t×sd/√n = 2.977×16.3/√15 = 12.53

Lower limit = mean - E = 98.4 - 12.53 = 85.87

Upper limit = mean + E = 98.4 + 12.53 = 110.93

99% confidence interval for the mean is between 85.87 and 110.93

3 0
3 years ago
Which statements about the situation are true? Check
horrorfan [7]

Answer:

1,3,5,6

Step-by-step explanation:

4 0
3 years ago
A two-digit number is a multiple of 9. Find the number if 1/3 of the number is 3 greater than 1/2 of the reverse number. no file
Mama L [17]

Answer:

63

Step-by-step explanation:

1/3 of 63= 21

and the reverse of 63 is 36

so 1/2 of 36 =18

so 21-18 =3

hence proven

3 0
3 years ago
Evaluate the expression for x = 3, y=13 , and z = 5. 12x−3y4x−z
Anna35 [415]

Answer:

I got -437

Step-by-step explanation:

Lets break it down.

12x - 3y4x - z

If you substitute the numbers for its given variable, you should get

12(3) - 3(13)4(3) - 5

Now, just multiply and subtract to simplify.

36 - 468 - 5

<u>-437</u>

3 0
2 years ago
Solve for x<br><br> 10(x - 3) = 5(3x - 8)<br><br> A.) 2<br> B.) 10<br> C.) -2<br> D.) -10
VashaNatasha [74]
<span>10(x - 3) = 5(3x - 8)
10x - 30 = 15x - 40
10x - 15x = -40 + 30
-5x = -10
x = -10/(-5)
x = 2</span>
3 0
3 years ago
Read 2 more answers
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