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gayaneshka [121]
2 years ago
15

* Find the length of BD. A

Mathematics
1 answer:
denpristay [2]2 years ago
7 0

9514 1404 393

Answer:

  BD = 17

Step-by-step explanation:

The Pythagorean theorem can be used twice:

  BC^2 + AC^2 = AB^2

  BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7

__

Likewise, ...

  DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10

Then ...

  BD = BC +DC = 7 + 10

  BD = 17

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Let x be the rate of the slower bicyclist and
      x + 4 be the rate of the faster bicyclist

Since the bicyclists are headed towards opposite directions, the sum of the distances they covered traveling for one hour and 15 minutes should be equal to 40 km based on the given conditions above. This may be expressed as,
 
                                   (x)(1.25) + (x + 4)(1.25) = 40

Calculating gives x = 14 

Thus, the rate of the bicyclists are 14 km/h and 18 km/h.
3 0
3 years ago
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A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w
hoa [83]

Answer:

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

Step-by-step explanation:

Volume of cylinder = V

Radius of cylinder = r = 0.5 m

Height of the cylinder = 5 m

Volume of cylinder = \pi r^2h

V=3.14\times (0.5 m)^2\times 5 =3.925 m^3

Mass of gasoline = m

Density of gasoline = d = 673 kg/m^3

m=d\times V=673 kg/m^3\times 3.925 m^3=2,641.525 kg

Work done to pump the gasoline out of the tank W

Acceleration due to gravity = g .8 m/s^2

The center of gravity of fuel in fully filled tank will be centre so, the value of h = 2 m + 0.5 m = 2.5 m

W =m\times g\times h

W=2,641.525 kg\times 9.8 m/s^2\times 2.5 m=64,717.36 J

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

6 0
3 years ago
if any one can help me that would be awesome 1. − 8 = 5 b − 3 b 2. k − 8 + 6 k = 20 3. 723. 4. 6 ( 3 + 3 x ) = 72 364. 5 ( m + 4
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Answer:

1)b=-4

2)k=4

3)can u explain what #3 and 4 say

4)?

5)0/ no solution

Step-by-step explanation:

5 0
3 years ago
Gary drank
Scrat [10]

Answer:

1 7/15

Step-by-step explanation:

4/5 = 12/15

2/3 = 10/15

12/15 + 10/15 = 22/15 or 1 7/15

6 0
3 years ago
A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid 200 times. Find the experimental
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Answer:

The experimental probability of rolling anumber less than 3 is 3/20

Step-by-step explanation:

16+14=30

30/200

=3/20

7 0
2 years ago
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