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kirill115 [55]
3 years ago
10

Help pls ? heusnwkq bsjnsjjw​

Mathematics
1 answer:
Nitella [24]3 years ago
7 0
Answer : A ; 4

Explanation : Domain is the x-value
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What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to
olga_2 [115]

Answer:

\boxed{\text{51.71 cm}^{2}}

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}

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θ = 49°

r = 11 cm

Calculation:

\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}

4 0
3 years ago
Question 12 1 pts If the population of a country is reported in the year 1990 as 471.56 million and in the year 2000 as 492.53 m
I am Lyosha [343]

Answer:

  526.39 million

Step-by-step explanation:

The exponential equation can be written as ...

  p(t) = 471.56(492.53/471.56)^(t/10)

Then p(25) ≈ 525.75 . . . . million

__

The closest answer choice is 526.39 million.

__

<em>Comment on the answer choice</em>

Reverse-engineering the answer, we find it was computed using the exponential equation ...

  p(t) = 471.56e^(0.0044t)

  p(25) = 471.56·1.116278 ≈ 526.39

The k factor in the exponent is <em>inappropriately rounded</em> from 0.004350903. You cannot use a 2-significant-figure constant to arrive at an accurate 5-significant-figure answer.

3 0
3 years ago
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