Quadrilaterals ABCD and PQRS shown below are two similar figures.Find the values of x and y.
1 answer:
Answer:
x = 12, y = 16
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
18(2x + 6) = 540 ( divide both sides by 18 )
2x + 6 = 30 ( subtract 6 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
-------------------------------------------
and
=
, substitute values
=
( cross- multiply )
27y = 432 ( divide both sides by 27 )
y = 16
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Answer:
201 students play basketball.
Step-by-step explanation:
total students who played sports = 347
58 % played basketball.
That is ,
Since number of students cannot be in decimals we take the nearest whole number = 201.
The length of the radius of the cylinder is 2 units.
The lateral surface area of a cylinder = <span>2πrh</span>
where, r = base radius
h = height of cylinder
Now, height of cylinder = 2r units
⇒ 16 π = 2×π×r×<span>h
</span>⇒ 16 π = 2×π×r×2r
⇒
= 4
⇒ r = 2 units
Thus, radius is 2 units.
The lateral surface area of a cylinder = <span>2πrh</span>
where, r = base radius
h = height of cylinder
Now, height of cylinder = 2r units
⇒ 16 π = 2×π×r×<span>h
</span>⇒ 16 π = 2×π×r×2r
⇒
⇒ r = 2 units
Thus, radius is 2 units.