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Marina86 [1]
2 years ago
6

If h(x) = 6 – x, what is the value of (h circle h) (10)?

Mathematics
1 answer:
Marta_Voda [28]2 years ago
5 0

Answer:

10

Step-by-step explanation:

hoh(x) = h(h(x)) = 6 - h(x) = 6 - (6-x) = 6 - 6 + x = x

then

hoh(x) = x

then

hoh(10) = 10

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Cones A and B both have volume cubic 48π units, but have different dimensions. Cone A has radius 6 units and height 4 units. Fin
kogti [31]

Answer:

r = 2 units

h= 36 units

Step-by-step explanation:

Given That:

Cones A and B both have volume cubic 48π units

The volume of a cone = \frac{1}{3} \pi r^2h

So for cone A

V_A = \frac{1}{3} \pi r_A^2 h_A

Volume for cone B

V_B = \frac{1}{3} \pi r_B^2 h_B

Due to different dimensions;

Cone A has

radius = 6 units

height = 4 units

To determine the one possible radius and height for cone B;

we have

\frac{1}{3} \pi r_A^2 h_A =\frac{1}{3} \pi r_B^2 h_B

\frac{1}{3} \pi (6)^2 (4) =\frac{1}{3} \pi r_B^2 h_B

150.9=\frac{1}{3} \pi r_B^2 h_B

150.9=1.047r_B^2 h_B

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r_B^2 h_B=144

Therefore; the only possible way for this equation is :

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If we are to check: we will realize that;

r_B^2h_B = (2)^2*36 =144

Therefore, the possible radius for the cone B = 2 units and height = 36 units. Hence from the question, we are told they both have the same volume of 48 π units.

7 0
2 years ago
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