Given:
The equation is

To find:
The value of b.
Solution:
We have,

Subtracting both sides by
, we get




Therefore, the value of b is
.
Answer:
The height is 14.3 km
Step-by-step explanation:
Given

--- angle of elevation
Required
Determine the height above the ground
The question is illustrated using the attached image.
To calculate the required height, we make use of:

Where AB represents the height and BC, the distance.
So:

Make AB the subject



--- approximated
Answer:80% of 90 is bigger
Step-by-step explanation:
80% of 90
N= 90/100×80
N= 90/100× 80/100
N=7200/100
N=72
So 80% of 90 is 72
1/2 of 140
70+70=140
So half of 140 is 70.
Answer:
4nm
Step-by-step explanation:
Multiply the coefficients, hook up the variables together.
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<u>Answer:</u>
100
<u>Step-by-step explanation:</u>
Given :
Terms ( n ) = 100
First term ( a ) = 100
Series = > 100 + 98 + 96 .......
Common difference ( d ) = 98 - 100 = > - 2
We know sum formula:
S_n = ( n / 2 ) ( 2 a + ( n - 1 ) d )
= > S_100 = ( 100 / 2 ) ( 200 + ( 100 - 1 ) - 2 )
= > S_100 = 50 ( 200 - 198 )
= > S_100 = 50 ( 2 )
= > S_100 = 100
Therefore, sum of first 100 terms is 100.