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1 answer:
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Answer:
7.5cm²
Complete question:What is the surface area of the 8-sided figure?
Step-by-step explanation:
Consider the half of the 8-sided die i.e the pyramid ABCDE:
As the base is 6 of the perimeter, so each side of the base is 6/4=3/2
Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.
Considering the right triangle EOM:
EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is
5. So side EBC has area
6. The total area is 8*Area(EBC)=
The word has 12 letters in total, distributed as follows:
2 o's
2 c's
2 a's
1 s
1 i
1 n
2 l's
1 y.
There are permutations of 12 objects. Nevertheless, since we have repeating letters, swapping them would still return the same words.
So, the new total is
Answer:
The solutions of the equation are:
4/3 and 5/8
Explanation:
To get the solution of the equation, we can either solve it algebraically or graphically.
1- algebraic solution:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20
Now, to get the roots, we will use the quadratic equation shown in the attached image.
Substituting in the equation, we would find that:
either x =
or x =
2- graphical solution:
To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8
and 1.3333 which is equivalent to 4/3
Hope this helps :)
The solutions of the equation are:
4/3 and 5/8
Explanation:
To get the solution of the equation, we can either solve it algebraically or graphically.
1- algebraic solution:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20
Now, to get the roots, we will use the quadratic equation shown in the attached image.
Substituting in the equation, we would find that:
either x =
or x =
2- graphical solution:
To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8
and 1.3333 which is equivalent to 4/3
Hope this helps :)