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Tanzania [10]
3 years ago
7

In rectangle ABCD, AB = 18, BC = 24, and AECF is a rhombus. Find FD. The figure is not drawn to scale.

Mathematics
1 answer:
zhuklara [117]3 years ago
7 0

Answer:

Step-by-step explanation:

Let's say BE is x then:

x^2 + 18^2 = (24 - x)^2

==> x = 5.25

BE = FD == x

==> FD = 5.25

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18-12/12 *100

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To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it
Nadya [2.5K]

Answer:

ρ_air = 0.15544 kg/m^3

Step-by-step explanation:

Solution:-

- The deflated ball ( no air ) initially weighs:

                             m1 = 0.615 kg

- The air is pumped into the ball and weight again. The new reading of the ball's weight is:

                            m2 = 0.624 kg

- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.

                           m_air = Δm = m2 - m1

                           m_air = 0.624 - 0.615

                           m_air = 0.009 kg

- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:

                         V_air = 4*π*r^3 / 3

                         V_air = 4*π*0.24^3 / 3

                         V_air = 0.05790 m^3  

 

- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:

                         ρ_air = m_air / V_air

                         ρ_air = 0.009 / 0.05790

Answer:            ρ_air = 0.15544 kg/m^3                      

4 0
3 years ago
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Diano4ka-milaya [45]

81m^2x^3=3^4\cdot m^2\cdot x^3\to\boxed{D.}

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Answer:

Both ratios reduce to the same ratio 3/50, so the restocking fee is proportional.

Step-by-step explanation:

For the $200, the restocking fee is $12, so the ratio of the restocking fee to the price of the item is 12/200.

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Now we find out if the ratios 12/200 and 9/150 are equal.

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2 years ago
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