Answer:
Step-by-step explanation:
Base = 8 * 8 = 64 square units
4 (8*6)/2 = 96 square units
64 + 96 = 160 square units
Answer:
It's a function that associates a real number x with a positive real number using the flowing definition: If the number is not negative (so either positive or 0) the absolute value is x. If x is negative, the absolute value is -x.
This means that to find the absolute value of x you must first determine if x is negative or not, and if it is, multiply it by -1. If it isn't, leave it as it is.
Since the absolute value is a function (of a given number), you can't just plot that number in the number line but the function (so in this case absolute value must be taken first.
The absolute value of x is never negative, so given the absolute value of x we can't determinate if x was positive or negative (if x =/ 0) before the absolute value was taken.
The given box has the shape of a <u>cuboid</u>, since its <em>height</em> is greater than its <em>width</em>. Thus, the <em>maximum volume</em> for such box is 11200 
.
The <u>volume</u> of an object is a measure of it <em>containing</em> capacity. Since the given box has a taller <em>height</em> than its <em>width</em>, then it has the shape of a <em>cuboid</em>. The<u> volume</u> of a cuboid is given as:
volume = length x width x height
= area x height
Given that the <u>sum</u> of the <em>perimeter</em> of its base and its <em>height</em> is not more than 108 inches, we can say; let the sides of the <em>square</em> base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200
The <u>maximum</u> <u>volume</u> for such a box would be 11200 .
Visit: brainly.com/question/20463446
Circumference is 40 in and area is 150 in²
Step-by-step explanation:
- Step 1: Find the circumference of the circle when radius = 7 in
Circumference = 2πr = 2 × 22/7 × 7 = 44 in ≈ 40 in
- Step 2: Find the area of the circle.
Area = πr² = 22/7 × 7² = 154 in² ≈ 150 in²
Answer:
1/216 or 0.0046
Step-by-step explanation:
Rolling a '1' one time has a probability of 1/6. Rolling a die three times and getting a '1' each time is an independent event, meaning that no roll affects the probability of a '1' happening on any other roll. When calculating probability of independent events, multiply them together. So the probability of a '1' three times in a row is...
(1/6)(1/6)(1/6) = 1/216 or 0.0046
