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harkovskaia [24]
3 years ago
13

Please help me I need a 100 to pass! Please show work to!

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

C. 452.16 in²

Step-by-step explanation:

Calculating for area of the pizza is the same as calculating for the area of the circle.

Area = πr²

Radius = 24 ÷ 2 = 12 in

Area = (3.14)(12)²

Area = (3.14)(144)

Area = 452.16 in²

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Each side of a square is increasing at a rate of 6 cm/s. At what rate (in cm2/s) is the area of the square increasing when the a
My name is Ann [436]

36 cm²s⁻¹ is the rate at which the area of the square is increasing.

Given each side of the square is increasing at a rate of 6cm/s

Area, A = s², s is the side length

=> \frac{dA}{dt} =\frac{dA}{ds}* \frac{ds}{dt} =2s*(\frac{ds}{dt} ) {chain rule of differentiation}

\frac{ds}{dt} = 6 cm/s

When A = 9 cm² => 9 = s²

=> s = √(9) => s = 3 cm

Hence, \frac{dA}{dt} = 2 × 3 × 6 = 36 cm²s⁻¹

Hence, 36 cm²s⁻¹ is the rate at which the area of the square increases

Learn more about differentiation here brainly.com/question/3083587

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6 0
2 years ago
If someone could help me that would be great
sasho [114]

Answer:

please mark me as brainlist please

Step-by-step explanation:

Correct option is B)

The circumference of the circle is 96 units.

Therefore, 2π×r=96

⇒r=

2×22

96×7

=15.27 units

Now, in the quadrilateral OLMN,∠OLM+∠LMN+∠MNO+∠NOL=360

o

Given that LM and MN are tangents to the circle, ∠OLM=∠ONM=90

o

∴∠NOL=360−90−90−60=120

o

The length of arc is given by rθ where θ is the angle made by the arc at the centre in radian.

Thus, arc length LN=15.27×

180

120π

=31.98

8 0
3 years ago
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