Base height + statue height = total height
Total height = 305
statue height = 111
base height + 111 = 305
Subtract both sides by 111
base height = 194
The height of the base is 194 feet.
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Answer:
C. 24.27 cm
Step-by-step explanation:
sin 65° = opposite ÷ hypotenuse
sin 65° = 22/x
multiply both sides of the equation by x
(sin 65°)x = 22
divide both sides of the equation by sin 65°
x = 22 ÷ sin 65°
punch in 65 sin into your calculator
x = 22 ÷ 0.90631
x = 24.27 cm
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
Answer:
The test statistics is 
Step-by-step explanation:
From the question we are told that
The data given is
330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814
The population mean is 
The sample size is n = 16
The null hypothesis is 
The alternative hypothesis is 
The sample mean is mathematically evaluated as

So

=> 
The standard deviation is mathematically represented as

So



=> 
Generally the test statistic is mathematically represented as


From the z-table the p-value is

From the values obtained we see that
so we fail to reject the null hypothesis
Which implies that the claim of the NarStor is wrong
Area of a circle = πr^2
Area of a sector with angle x° = (x/360) πr^2
For the smaller sector,
x = 30°
r = 6 in
Required area of sector = (30/360) × π × 6^2 = 9.424 in^2
To the nearest hundreth, Area = 9.42 in^2