Answer:
x = 45
Step-by-step explanation:
→ Add all the angles together
x + 2x + 3x + 90 = 360
→ Simplify
6x + 90 = 360
→ Minus 90 from both
6x = 270
→ Divide by 6
x = 45
it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line
The answer is 25 13/20 square feet.
In order to complete this operation, it is first best to change your mixed numbers into improper fractions.
7 1/8 = 57/8
7 1/5 = 36/5
Now that we have these, we can put them into the triangle formula.
A = 1/2bh
A = (1/2)(57/8)(36/5)
A = 1026/40
You can then simplify this fraction by dividing the top and bottom by a factor of 2.
A = 513/20
Then, because we know 20 goes into 500, 25 times, we can pull that out and be left with a remainder of 13/20.
A = 25 13/20
9514 1404 393
Answer:
(c) (6x^4 – 4)(36x^8 + 24x^4 + 16)
Step-by-step explanation:
The correct factoring can be found by looking at the first exponent in the second set of parentheses.
The factorization of ...
(a^3 -b^3)
is ...
(a -b)(a^2 +ab +b^2)
__
Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...
a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice
Step-by-step explanation:
the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.
it is really that easy.
the equations just put this into mathematical form :
A
y = 0.02×x + 800
B
y = 0.06×x + 600
please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).
and then the total cost goes up with every copy we make.
I cannot draw here.
so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :
0.02×x + 800 = 0.06×x + 600
200 = 0.04×x
x = 200 / 0.04 = 5000
when making 5000 copies both costs are the same.