The height is 1943.8 feet. easiest way to do this is draw a little diagram. Draw the building and the unknown height can be "x". We know a 1000 feet away from the base of the building, the angle between the ground and top of the building is 11 degrees. If you draw this, you can see that you can use the tan function to find the missing "x". tan (angle) = opposite side/adjacent side. So tan(11) = x/1000. Isolate for x and you get 1943.8 feet
Answer:
58b - 36
Step-by-step explanation:
-11b + 15 + 69b - 51
combine 'like terms' to get:
58b - 36
Answer:
7280
Step-by-step explanation:
just subtract 28,450 from 35,730
Answer:
0.8 OR
Step-by-step explanation:
The reciprocal of any number is the number that it multiplies by to equal 1.
The reciprocal can be found by simply converting the number into a fraction and then 'flipping' the fraction as any number multiplied by its reciprocal is 1.
E.g.
No. X/Y * Y/X (its reciprocal) = 1
So, to find the reciprocal of 1.25,we should first convert 1.25 to a fraction.
1.25 = 125/100
Now we just flip 5/4 to get our reciprocal:
= 0.8
Test: 0.8 * 1.25 = 1
The reciprocal of 1.25 () is 0.8 ().
Hope this helped!
x = - 1
given = x + 3
square both sides
1 - 3x = (x + 3 )² ( expand right side using FOIL )
1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )
0 = x² + 9x + 8
0 = ( x + 1)(x + 8)
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = -1
x + 8 = 0 ⇒ x = - 8
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = - 1 : = 2 and - 1 + 3 = 2 ← true
x = - 8 : = 5 and - 8 + 3 = -5 ← false
thus the only solution is x = - 1