To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).
Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
a = 16 in
Thus, the length of the base is 16 in.
The correct answer to your question is 6, option B.
The degree of a polynomial is the highest exponent or power of the variable that is involved in the expression. In the above question we have only one variable which is x, and from the given terms we can see that the highest power of x is 6. So the degree of polynomial is 6. The degree of polynomials helps us to know about the end behavior of the graph.
Answer:
39.27
Step-by-step explanation:
The area of a semi-circle is pi times the radius squared divided by 2. So basically standard area of a circle formula (pi times the radius squared) but then you add in the extra step of dividing it by 2.
The formula looks like this:
π × r² ÷ 2
The radius is half the diameter of the circle. So basically think of it as a line to the middle of the circle. Our diameter is 10, (the diameter is the entire length of the circle. It gives us this already. If you need diameter and only have the radius add the radius together twice or multiply it by 2 to get the diameter. Fun fact..?)
and it tells us to substitute pi for 3.142.
So, plugging our numbers in we get:
3.142 x 5^2 ÷ 2 = 39.275.
Cut out the 3rd decimal place (5) as it tells us to only include the first 2 decimal places, and we finally end up with 39.27.
<u>Hope this helps and have a nice day!</u>
Answer:
3.706 liters
Step-by-step explanation:
Hello
assuming that these measures correspond to the internal measures of the thermos,
we can calculate the volume as, the volume of a cylinder, which is given by
where r is the radius of the base, and h the height
also
Diameter=2r
r=Diameter/2
Step 1
let
h=8 in
base = diameter = 6 inch
r=diameter/2
r=6/2 inch,r=3 inch
Step 2
Put the values into the equation
Step 3
Now, the unit (cubic inches) is not an usual unit for measuring coffee, let´s convert cubic inches into liters by knowing
1 inch = 2.54 cm
1 litro = 1000 cubic centimeters
1 cubic inch = 16.3870 cubic centimeters
Step 4
Finally, convert cubic centimeters into liters
I can put 3.706 liters in the thermos
Have a good day
Answer:
First of all if we answer we get 10 points nice try plus you need to make clear which question.
