For this case we have:
a = 30 cm
c = 16 cm
We look for the length of the diagonal:
d = x + y
Where,
For x:
a ^ 2 = x ^ 2 + x ^ 2
x = a / root (2) = 30 / root (2) = 21.2132 cm
For y:
c ^ 2 = y ^ 2 + y ^ 2
y = c / root (2) = 16 / root (2) = 11.3137 cm
The diagonal is:
d = x + y
d = 21.2132 + 11.3137
d = 32.5269 cm
Then, the height is:
h = h1 + h2
For h1:
h1 = root (x ^ 2 - (a / 2) ^ 2) = root ((21.2132) ^ 2 - (30/2) ^ 2)
h1 = 15 cm
For h2:
h2 = root (y ^ 2 - (c / 2) ^ 2) = root ((11.3137) ^ 2 - (16/2) ^ 2)
h2 = 8 cm
Finally:
h = h1 + h2
h = 15 + 8
h = 23 cm
Then, the area is:
A = (1/2) * (a + c) * (h)
A = (1/2) * (30 + 16) * (23)
A = 529 cm ^ 2
Answer:
the area of an isosceles trapezoid is:
A = 529 cm ^ 2
505/1000 = 101/200 plz mark me as brainliest
HOPE THIS HELPS!!!!!!! ;-)
Answer:
Part a) The rule of the translation is (x,y) -----> (x-3,y-4)
Part b) The coordinates of vertex C after translation is (5,-1)
Step-by-step explanation:
Part a) Which rule represents the translation
we know that
The triangle is translated 4 units down ----> That means that the new y-coordinate is equal to the original y-coordinate minus 4
The triangle is translated 3 units left ----> That means that the new x-coordinate is equal to the original x-coordinate minus 3
so
The rule of the translation is
(x,y) -----> (x-3,y-4)
Part b) Find the coordinates of vertex after translation
Applying the rule of the translation to vertex C
C(8.3) -----> C'(8-3,3-4)
C(8.3) -----> C'(5,-1)
Answer: 4 shirts x 3 pairs of pants x 4 ties = 4 x 3 x 4=48
so there are 48 possibilities (option 3)
