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AysviL [449]
2 years ago
15

The Area of the circles

Mathematics
2 answers:
NNADVOKAT [17]2 years ago
6 0

Answer:

254.4 in²

Step-by-step explanation:

Area of a circle is given by the formula:

\pi r^{2}

Our radius is 9 so we substitute this into the equation:

π(9)² = 81π

81π = 254.4 in²

Akimi4 [234]2 years ago
4 0

Answer:

254 cm^2.

Explain:

The area of a circle is given by pi r squared. Pi has a constant value of 3.14. And the radius of the circle is 9 cm. The area equals pi R² equals 3.14 × 9² CM squared. 3.14 × 81 = 2.54.34cm^2 equals 254cm^2.

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Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
grandymaker [24]
(2x+1)^{\cot x}=\exp\left(\ln(2x+1)^{\cot x}\right)=\exp\left(\cot x\ln(2x+1)\right)=\exp\left(\dfrac{\ln(2x+1)}{\tan x}\right)

where \exp(x)\equiv e^x.

By continuity of e^x, you have

\displaystyle\lim_{x\to0^+}\exp\left(\dfrac{\ln(2x+1)}{\tan x}\right)=\exp\left(\lim_{x\to0^+}\dfrac{\ln(2x+1)}{\tan x}\right)

As x\to0^+ in the numerator, you approach \ln1=0; in the denominator, you approach \tan0=0. So you have an indeterminate form \dfrac00. Provided the limit indeed exists, L'Hopital's rule can be used.

\displaystyle\exp\left(\lim_{x\to0^+}\dfrac{\ln(2x+1)}{\tan x}\right)=\exp\left(\lim_{x\to0^+}\dfrac{\frac2{2x+1}}{\sec^2x}\right)

Now the numerator approaches \dfrac21=2, while the denominator approaches \sec^20=1, suggesting the limit above is 2. This means

\displaystyle\lim_{x\to0^+}(2x+1)^{\cot x}=\exp(2)=e^2
7 0
3 years ago
Please help n - 8 = -4<br> n = _____
Oxana [17]
The problem = n - 8 = -4

Switch it around and it becomes:

-4 + 8 = n

-4 + 8 = 4

n = 4

~Hope this helped~
8 0
3 years ago
Please Help me I really need help
Lubov Fominskaja [6]

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Suppose carpet for a 12 ft by 10 ft room costs $400. Find the cost to carpet a room 36 ft by 30 ft
NemiM [27]

Answer:

About $3600

Step-by-step explanation:

10 x 12 =120 square feet - area of the first room

$400 / 120 =$3.33 - cost of carpet per square foot.

36 x 30 = 1080 square feet - the area of the second room

1080 x $3.33 = (about) $3600 cost of carpeting the second room.

4 0
2 years ago
2. Problem: A hiker decided to climb Mt. Akyatan to set a world record as the first person to reach the summit. The foot of the
Nataly [62]

Answer:

while its submit the way of the way of the other use

3 0
2 years ago
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