Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Answer:
27 : 8
Step-by-step explanation:
Given 2 similar figures with ratio of sides a : b, then
ratio of areas = a² : b² and
ratio of volumes = a³ : b³
Here the ratio of areas = 9 : 4, thus
ratio of sides =
:
= 3 : 2
ratio of volumes = 3³ : 2³ = 27 : 8
Step-by-step explanation:
hope this helped you :)) !!
Answer:
the answer is 32
Step-by-step explanation:








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