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3 years ago

Help pleaseeee thankyou :D

Mathematics

1 answer:

posledela3 years ago

7 0

X^2 - 3x + p = 0
x^2 + qx + 7 = 0

αβ = p..........................(1)
3α + 3β = -q..................(2)
3α3β = 9αβ = 7
so substituting for αβ from (1):-
9p = 7
p = 7/9

α + β = 3 ( from first equation)
from (2) -q = 3 (α + β)
so -q = 3*3 = 9 and q = -9
Answer is p = 7/9 and q = -9

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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=

=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

h=32×22×14 cm

×(28)

×h=9856 cm

22×784

9856×7

h=4 cm

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