» Solve the following problems
1. Find the length of a diagonal of a rectangle with dimensions 20mg x 15m
Given that 5625=75, then what is the value of 0.56255625
2.
3. Simplify
a. [176 + 12401
b. 1248 +/64+ 144
4. A ladder 10m long rests against a vertical wall. If the foot of the ladder is mad
wall and the ladder just reaches the top of the wall
, how high is the wall?

there is no grid

step-by-step explanation:

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places