Simplify the following:
(8 x^2)^3
Multiply each exponent in 8 x^2 by 3:
8^3 x^(3×2)
3×2 = 6:
8^3 x^6
8^3 = 8×8^2:
8×8^2 x^6
8^2 = 64:
8×64 x^6
8×64 = 512:
Answer: 512 x^6
Answer:
<h2>The total surface area of the box is 224 square inches.</h2>
Step-by-step explanation:
The box pattern is shown in the image attached.
The total surface is the sum of the area of each section of the figure, which is formed by 4 equal rectangles and 2 equal squares. Rectangles have dimensions of 12 inches by 4 inches, and squares have 4 inches per side.
So, the total surface would be
Therefore, the total surface area of the box is 224 square inches.
Answer: 15
Step-by-step explanation:
Since we are informed that in exchange for 5 eclaire boxes, that Luna gets, she decided to give 1 eclaire box for free.
Then, the number of eclaires boxes that they can buy from Luna using 77 claire boxes will be:
= 77 / 5
= 15 2/5
= 15 approximately
They'll get 15 boxes of eclaires from Luna.
Answer:
D. 10
Step-by-step explanation:
The chord is bisected as shown by the perpendicular lines and right angle, so both segments are 6.
Draw a radius from the center to the end of the chord to create a right triangle. 8 and 6 are the legs, use pythagorean theorem to find the length of the segment you drew because its the hypotenuse.
8^2+6^2=x^2
64+36
100
square root of 100 is 10
So, 10 is the length of the segment. Both the x segment and the 10 segment are radii because they are draw from the center to a point on the circle.
They are equal.
x=10
Answer:
3/4 pan of lasagna costs $45.
Step-by-step explanation:
The cost of 1/ 3 pan of lasagna = $20
The amount of lasagna available in restaurant = 3/4 pan
Now cost of 1/3 pan lasagna = $20
So, the weight of 1 full pan =
= 3 x$ 20 = $60
⇒ 1 complete pan costs $60
So, 3/4 pan costs 
Hence, 3/4 pan of lasagna costs $45.
