Answer:
x= 9.37
y = 17.69
Step-by-step explanation:
in order to find the answer, use the trigonometries.
First finding x which is tan(32) = x/15
x = tan(32)15
and Y is cos(32) = 15/y
y = 15/cos(32)
I hope this helps
Answer:
the standard form equation is 1/2x^2-x-3/2=0
the vertex form equation is 1/2(x-1)^2-2=0
Step-by-step explanation:
Unfortunately, this can't be written in slope intercept form but I can write it in standard form(ax^2+bx+c) or vertex form (a(x-h)+k)
The vertex is (1,-2)
I estimate a=1/2 because the graph was widened and that can only be done by a fraction.
So, 1/2(x-1)^2-2=0
To find it in standard form
foil (x-1)(x-1)= x^2-2x+1
Then multiply by 1/2(x^2-2x+1)= 1/2x^2-x+1/2-2
To add 1/2-2. You mulitply -2 by 2/2 which equals 1/2-4/2 which equals -3/2
So the standard form equation is 1/2x^2-x-3/2=0
In terms of better deal, we know that we want less money per hour. to find this we compute danny's cost per hour and martin's cost per hour of lessons and compare the 2.
Danny: 35/3 = 11.67 dollars/hour
martin: 24/2 = 12 dollars/hour
this means Danny has the better deal since his cost per hour is lower.
note that we could have also computed how many hours of lesson per dollar and in that cause the bigger number would be considered the better deal.
Danny: 3/35 = 0.086
martin: .083
this means danny has the better deal (like before!) because you get more hours of swimming lessons with 1 dollar.
although i think to choose a swim coach we have to look at his abilities as well not just how much he charges XD...sorry i got carried away.
42! The mean is where you add all the numbers!!
The long, straightforward, brute-force way to slog through the problem:
The prism is 12cm x 6cm x 9cm.
Volume of the prism = (12 x 6 x 9) = 648 cm³
Volume of each little cube = (1.5 x 1.5 x 1.5) = 3/375 cm³
Number of little cubes that fit into the prism = (648 cm³) / (3.375 cm³) = <em>
192 of them</em>
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The elegant but almost equally long way to master the problem:
The prism is 12cm x 6cm x 9cm.
If each dimension of your measuring cubie is 1.5cm,
then the prism measures
(8 cubie lengths) x (4 cubie widths) x (6 cubie heights) .
Its volume is (8 x 4 x 6) = <em>192 measuring cubies</em>.
