Answer:
Cody has solved (12 × 12) = 144 problems.
Step-by-step explanation:
For every one problem that Julia completes, Cody completes twelve.
If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)
Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.
Hence, 2x + 120 = y ......... (2)
Now, from equations (1) and (2) we get,
2x + 120 = 12x
⇒ 10x = 120
⇒ x = 12
Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)
Answer:
<u>252 square inches is the surface area of Josiah's cereal box.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the box = 11 inches
Length of the box = 8 inches
Width of the box = 2 inches
2. What is the surface area of Josiah's cereal box?
Let's recall the surface area of a rectangular prism:
Surface area = 2 (width * length + height * width + length * height)
Surface area = 2 (2 * 8 + 11 * 2 + 8 * 11)
Surface area = 2 (16 + 22 + 88)
Surface area = 2 * 126
<u>Surface area = 252 inches²</u>
Answer:
1/ 6^12
Step-by-step explanation:
f[x} = x ^ (-2x)
f(6) = 6 ^ (-2*6)
= 6 ^ -12
We know the negative exponent moves it to the denominator
= 1/ 6^12
The length of one side of the octagon is given by:
Then, the apothem can be determined using the Pythagorean theorem in the following way:
Clearing to have:
Then, the area is given by:
Where,
L: length of the octagon sides
a: apotema
Substituting values:
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2
0 is the answer 79.83-54.91-24.92=0
