Let's visualize this problem (See the picture below). The red line represents the diagonal that is 14 cm, the green sides represent the 25-cm sides, and the yellow line represents the diagonal that we need to find. From this, you can see that the Pythagorean Theorem can be applied to this problem (Since the diagonals are perpendicular)
a^2+b^2=c^2
14^2+b^2=25^2
196+b^2=625
b^2=429
b=20.71 (approximate)
:)
Answer:
Tennessee
Step-by-step explanation:
Memphis, Tennessee-this is not a mathematics question though, that would probably be history or geography
Answer:
67.5
Step-by-step explanation:
The sum of the interior angles is 540, therefore
540 = 90 + 4y
540 - 90 = 4y
450 = 4y
450 / 4 = y
112.5 = y
X and Y together equal 180, therefore
180 = x + 112.5
180 - 112.5 = x
67.5 = x
Answer:
t(d(n)) = 12n + 7
Step-by-step explanation:
- t(d) = 3d + 1
- d(n) = 4n + 2
<u>t(d(n)) = t(4n + 2) </u>
Substitute the function d(n) into the function t(d) for the variable d.
t(4n + 2) = 3(4n + 2) + 1
t(d(n)) = 12n + 7
Answer:
Centre = (2, -3)
radius = 5units
Step-by-step explanation:
The standard form of a circle is expressed as;
x²+y²+2gx+2fy+c = 0
Centre = (-g, -f)
radius r = √g²+f²-c
Given the equation;
x²+y²-4x+6y-12 = 0
Compare
2gx = -4x
2g = -4
g = -2
Similarly;
2fy = 6y
2f = 6
f = 3
Centre = (-(-2), -3)
Centre = (2, -3)
Radius = r = √(-2)²+3²+12
r = √4+9+12
r = √25
r = 5 units