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svp [43]
3 years ago
5

Neal and Abel are mountain biking on a 35-mile trail. Their rides are represented by these equations. Abel: d = 14t, Neal: d = 1

1t + 6 How many hours will the boys have travelled when they are at the same point on the trail? hours
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

The boys would have traveled two hours to be at the same point on the trail

Step-by-step explanation:

At the same point on the trail, the two boys would have traveled the same distance.

What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel

Thus, we equate the equation of thur distances.

That would be;

14t = 11t + 6

14t -11t = 6

3t = 6

t = 2 hours

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Asked on December 20, 2019 by

Ziya Vïvəķ

A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.

MEDIUM

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ANSWER

Given,

Diameter of the base of the cylindrical container d=56 cm

Hence, radius of the base of the cylindrical container r=

2

56

=28 cm

Dimensions of rectangular solid is (32 cm×22 cm×14 cm)

We know that when a body is completely submerged in a container containing water,

the rise in the volume of water in the container is equal to the volume of the body.

Let, the water rises to a height h.

Hence,

Volume of water rises in cylindrical container =Volume of the rectangular solid

πr

2

h=32×22×14 cm

3

7

22

×(28)

2

×h=9856 cm

h=

22×784

9856×7

cm

h=4 cm

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