<span>let landmark be at L
ZN = 100, NL = x (say)
tan 54 = (100+x)/H
100 + x = H tan 54 -------------- (1)
------------------------------
tan 61 = H/x ................ [alternate angle]
x = H cot 61 ------------------------- (2)
put x from (2) into (1)
H cot 61 + 100 = H tan 54
H = 100 / [tan 54 -cot 61]
H = 100 / [1.376 - 0.554]
H = 121.65 feet</span><span>
</span>
The mass of the rock is 3020.27 grams , if a rock is in the shape of a sphere with a radius of 5.08 centimeters and the rock has a density of 5.5 grams per cubic centimeter,
Step-by-step explanation:
The given is,
Radius of the rock is 5.08 cm (Sphere)
Density of rock 5.5 grams per cubic centimeters
Step:1
Formula for volume of sphere,
..........................(1)
Where, r - Radius of sphere
From the given values,
r = 5.08 cm
Equation (1) becomes,



V = 549.14 cubic centimeters
Step:2
Mass of rock = Volume of rock × Density of rock
= 549.14 × 5.5 ( ∵
)
= 3020.27 grams
Mass of the rock = 3020.27 grams
Result:
The mass of the rock is 3020.27 grams , if a rock is in the shape of a sphere with a radius of 5.08 centimeters and the rock has a density of 5.5 grams per cubic centimeter,
STEP-BY-STEP SOLUTION:
= a^3 - 4a^2 + 12 - 3a
= a^2 ( a - 4 ) + 3 ( 4 - a )
= a^2 ( a - 4 ) - 3 ( a - 4 )
= ( a - 4 ) ( a^2 - 3 )
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Answer is -7/2
Gradient or slope is found by change in y over change in x.
Or
(y2 - y1) over (x2 - x1)
So
(-2 -5) over (4-2)
= -7/2