PLEASE HELP!! (x+3)(x−2)/(x+7)² ≥0

Mathematics

1 answer:

DIA [1.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

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Climbing ar an indoor rock-climbing gym costs $8 per hour. Lizbeth has a $30 gift card to spend at the gym. Write an algebraic e

Vesnalui [34]

Answer:

30=8x

Step-by-step explanation:

lizabeth cant climb for 4.5 hrs because if you divide 30 by 8 you get 3.75. so Lizabeth can climb for 3.75 hrs using only her $30 gift card

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3 years ago

In the given figure find the area of the shaded region if AC = 24 CM AB = 7cm and O is the centre

wariber [46]

See the attached figure to better understand the problem

we know that

The inscribed angle in a circle measures half of the arc it comprises.

in this problem
the inscribed angle= ∠ACB
and the arc it comprises measures 180°
then
the ∠ACB=180°/2-------> ∠ACB=90°

applying the Pythagorean theorem
AC²+CB²=AB²-------> AB²=24²+7²-------> AB²=625------> AB=25 cm

the diameter of circle is AB
radius=25/2--------> r=12.5 cm

[the area of a half circle]=pi*r²/2------> pi*12.5²/2--------> 245.44 cm²

[area of triangle ABC]=AC*CB/2--------> 24*7/2-------> 84 cm²

[the area of the shaded region]=[the area of a half circle]-[area of triangle ABC]

[the area of the shaded region]=245.44-84-------> 161.44 cm²

the answer is
the area of the shaded region is 161.44 cm²