Answer:

Step-by-step explanation:
After Theo added to both sides of:

He got;

Next he took the square root of both sides to get;

When Theo simplifies, he will obtain:

Therefore the second option is correct.
Answer:
Step-by-step explanation:
Ending balance+deposits-checks=1,139.78+280.67-656.91=763.54
Yes, her account does reconcile
Answer:
4≤w≤6
Step-by-step explanation:
24 ≤ w (w + 2) ≤ 48 = 4≤w≤6
Answer:
36.50
To two decimal places
Step-by-step explanation:
The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.
From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.
Cos 51°=x/58
Let the size of the leg be x
Making x the subject
x=58(Cos51°)
x=36.500058
Correct to two decimal place
x=36.50