Simplify the following expression.

4) 41% of 78 is what?
Answer = 31.98

Work:
x = 41/100 x 78
x = 3198/100
x = 31.98

6) 58% of what is 63.4?
The number is = 109.31
Explanation:
Let the number be = x

58/100 (x) = 63.4
x = 63.4 x (100/58)
x = 6340/58
x = 109.31

4. -28

Use PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction

Answer:

Step-by-step explanation:

1,7 are same side exterior

1,8 alternate exterior

2,4 none

3,5 same side int

2,6 corrosponding

4,6 same side int

4,7 is none

5,4 alternate int

8,5 vertical

8,7 alternate exterior

Answer:

756.36 meters

Step-by-step explanation:

Draw a diagram.  Let's call the horizontal distance from the top of the mountain to the closest point x.

Using tangent = opposite / adjacent, we can write two equations:

tan 35.3° = h / x

tan 25.76° = h / (x + 500)

Solve for x in the first equation and substitute into the second.

x = h / tan 35.3°

tan 25.76° = h / ((h / tan 35.3°) + 500)

Solve for h.

tan 25.76° (h / tan 35.3°) + 500 tan 25.76° = h

500 tan 25.76° = h (1 − (tan 25.76° / tan 35.3°))

500 tan 25.76° tan 35.3° = h (tan 35.3° − tan 25.76°)

h = 500 tan 25.76° tan 35.3° / (tan 35.3° − tan 25.76°)

h ≈ 756.36 meters

Answer:

1562.5

Step-by-step explanation:

WE just do cross  multiplication for this.

==>(250000*5)/800=1562.5