Hey there,
The answer is: 18a^3b2/2ab=9a^2*b
:)
Answer: 17 -3n
Explanation:
In the given arithmetic progression 20,17,14,11,8....
first term that is a = 20
common difference that is d= a2-a1 = 17-20 = -3
let n is the nth term
= a+(n-1)d
substituting the values of first, common,difference and n
=20+(n-1) (-3)
= 20 -3n+3
=23 -3n
Answer:
2 * 10 ^-4
Step-by-step explanation:
We need the first number to be between 1 and less than 10
.0002
2 * 10 ^ exponent
We move the decimal 4 places to the right. Since we move it to the right the exponent is negative and is the number of places we moved the decimal
2 * 10 ^-4
Answer:
Yes by SAS
Step-by-step explanation:
If you look at the triangles they have 2 side lenght in common (and since it is a right triange they have all the sides in commmon) and they share an angel
In other words 2 sides are conurent with an angle betwene them.
You would need to rotait the shape 90 degrese.
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