Answer:
<h2>The product of two consecutive integers:</h2><h2>x · (x+1) = x(x + 1)</h2>
Step-by-step explanation:
Consecutive integer:
... -2, -1, 0, 1, 2, 3, ...
Difference between two consecutive integers is equal to 1.
Therefore two consecutive integers is x and x + 1.
Answer:
x=47, y=68
Step-by-step explanation:
Add the two equations. Then we get
-y=-68
y=68
Substituting the value of y in the first equation,
8x-6(68)=-32
8x-408=-32
8x=376
x=47
X=48
Y=44
Because the triangles are congruent.
Same case as Pablo's, more or less.
a = price for the desktop
b = price for the laptop
we know the laptop is 150 bucks more than the desktop,
b = a + 150.
how much is 7% of a? (7/100) * a, 0.07a.
how much is 9.5% of b? (9.5/100) * b, 0.095b.
total interests for the financing add up to 303,
0.07a + 0.095b = 303.

how much was it for the laptop? well b = a + 150.
The radii of the frustrum bases is 12
Step-by-step explanation:
In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section
As given in the figure radius and height of the cone are 9 and 12 respectively
Similarly, the height of the frustum is 4
Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)
We can see that ΔABC is similar to ΔADE
Using the similarity theorem
AC/AE=BC/DE
Substituting the values
12/16=9/DE
∴ DE= 16*9/12= 12
Hence the radii of the frustum is 12