Answer:
19.72 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle:
Tan = Opposite/Adjacent
Then the relations in the attached drawing are ...
tan(α) = 42/73
tan(α +10.3°) = (42 +SH)/73
Solving the first equation for α, we get ...
α = arctan(42/73)
Solving the second equation for SH, we get ...
73 tan(α +10.3°) = 42 +SH
SH = 73·tan(arctan(42/73) +10.3°) -42 = 73·tan(29.91°+10.3°) -42
SH = 73·0.84547 -42 = 19.720 . . . . feet
The height of the statue is about 19.72 feet.
_____
For more, see brainly.com/question/13065709
It seems appropriate to use the linear regression function of your calculator for this. Looking at the data, you know the slope is generally positive, so only the 1st and 3rd choices are potentially viable.
A calculator shows the correlation coefficient (r) rounds to 0.816, so the appropriate selection is ...
A. 0.816
Answer:
Option (1)
Step-by-step explanation:
Given inequality is,
-4(x + 3) ≤ -2 - 2x
Further solve this inequality,
-4x - 12 ≤ -2 - 2x
-4x + 2x - 12 ≤ -2 - 2x + 2x
-2x - 12 ≤ -2
-2x - 12 + 12 ≤ -2 + 12
-2x ≤ 10
-x ≤ 5
x ≥ -5
Therefore, on a number line draw an arrow starting with a solid circle (because of equal to sign) and moving towards the numbers greater than -5.
Option (1) is the answer.