Domain: all real numbers
Range: y>-3
Answer:
22.5°
Step-by-step explanation:
First we need to figure out the size of the interior angles on the inside.
The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.
N is the number of sides.
If we substitute our number of sides (8) we get this:
(8-2)×180°
6×180° = 1080°
Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).
1080° ÷ 8 = 135°
Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.
Using the rule of angles in a triangle add up to 180°. We do this sum:
180° - 135° = 45°
There are 2 angles left in the triangle so we do:
45° ÷ 2 = 22.5°
Therefore the angle of x is 22.5°.
Answer:
(2^2)3 = 2^6
(2^3)2 = 2^6
Step-by-step explanation:
There are various exponent rules. The problems that you were assigned must follow the power of a power rule:
(x^a)^b = x^a*b
Exponents must be multiplied according to this rule. Hope this helps.
Answer:
He needs to work for 40 whole hours
Step-by-step explanation:
In this question, we are tasked with calculating the amount a Tv will cost Bob in terms of the number of hours he needs to work.
Let’s look at the total cost he has to pay.
a. $500
b. 8% tax = 8/100 * 500 = $40
c. He is paying 2 bills of $35 each making a total of 2 * $35 = $70
The total amount he is to pay is thus; 500 + 40 + 70 = $610
Let’s look at his income ;
a. Bonus $45
b. Birthday gift $85
The total amount of money he has asides his salary to offset the bill is 45 + 85 = $130
The balance to pay from his salary would be $610 - $130 = $480
The number of hours he has to work since he earns $12 per hour would be 480/12 = 40 hours of work