The volume of a sphere of radius r is given by
For your given conditions, the volume of 1/2 a sphere becomes
Seems to match your 2nd choice:
... 1 over 24 over 322 over 7(83)
The value of 7y–2 is 10 more than the value of 2y
1 answer:
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Answer:
The Height of the tower is 188.67 ft
Step-by-step explanation:
Given as :
The angle of elevation to tower = 15°
The distance travel closer to tower the elevation changes to 42° = 497 ft
Now, Let the of height of tower = h ft
The distance between 42° and foot of tower = x ft
So, The distance between 15° and foot of tower = ( x + 497 ) ft
So, From figure :
<u>In Δ ABC </u>
Tan 42° =
Or , Tan 42° =
Or, 0.900 =
∴ h = 0.900 x
Again :
<u>In Δ ABD </u>
Tan 15° =
Or , Tan 15° =
Or, 0.267 =
Or, h = ( x + 497 ) × 0.267
So, from above two eq :
0.900 x = ( x + 497 ) × 0.267
Or, 0.900 x - 0.267 x = 497 × 0.267
So, 0.633 x = 132.699
∴ x =
Or, x = 209.63 ft
So, The height of tower = h = 0.900 × 209.63
Or, h = 188.67 ft
Hence The Height of the tower is 188.67 ft Answer
Answer:
42.5
Step-by-step explanation:
see attached image.
Answer: P = 6 miles
Step-by-step explanation: A rectangle is a quadrilateral with opposite sides with the same measure. As Central Park is one, its parallel sides has the same measurement.
Distance of points gives the measurement of the sides of the rectangle. It is calculated as:
For the first two points, (-1.25,-0.25) and (-1.25,0.25), note that x-components is the same, so, only y-component is relevant to the distance:
d = 0.5
Two sides of the rectangle are 0.5 miles.
For points (-1.25,0.25) and (1.25,0.25), y-component will add 0 to the formula. Then,
d = 2.5
Two sides of the park are 2.5 miles.
Perimeter is the sum of all the sides of a geometric figure.
Perimeter of central Park is
P = 0.5+0.5+2.5+2.5
P = 6
Central Park has perimeter of 6 miles.