The triangular banner Inez is
1 answer:
You might be interested in
Answer:
The circumference of the cake board is <u>35π cm</u>.
Step-by-step explanation:
The question is incomplete, so the complete question is below:
A round cake has a diameter of 30 cm. Angela places the cake on a circular cake board with a diameter 5 cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of π.
Now, to find the circumference of the cake board.
As, given diameter of cake = 30 cm.
And diameter of cake board is 5 cm longer than that of the cake.
Thus, the diameter of cake board is:
So, to find the circumference we need radius, by putting formula:
Now, to get the circumference of the cake board we put formula:
Therefore, the circumference of the cake board is 35π cm.
The square's diagonal is the triangle's hypotenuse.
The Pythagorean theorem is =
Here, 'c' is the hypotenuse and 'a' and 'b' are the two sides of the triangle.
As the side is given 12 inches, so this becomes
inches
<h3>Answer:</h3>
The rules of exponents tell you ...
... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses
... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression
The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...
... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2
Now, you have ...
... (x^2)^(1/3)
and the rule of exponents tells you to multiply the exponents.
... = x^(2·1/3) = x^(2/3)