Answer:
Y=1
Step-by-step explanation:
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We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
First the y-intercept would increase. The magnitude of the slope of the trendline would decrease as compared to the slope with all the years in them. The slope would still be increasing. And there would still be a positive correlation.
Multiply 75*4(300), 15*4(60), and 30*4(120) then add all the answers up (480)
Answer:
to guarantee that both formulas are the same.
Step-by-step explanation:
Dimensionally speaking, the volume is the cube of length. By direct comparison, we find that 
have length units, whereas 
have area unit, that is, the square of length.
Hence, to guarantee that both formulas are the same.
