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2 years ago

Which exponential equation is equivalent to this logarithmic equation? (2)

Mathematics

1 answer:

Pani-rosa [81]2 years ago

3 0

Answer:

Step-by-step explanation:

Log x=4 ➡️ e⁴=x or x= e⁴

Hope it helps

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6. A sector of a circle is a region bound by an arc and the two radii that share the arc's endpoints. Suppose you have a dartboa

Aliun [14]

Given the dartboard of diameter $20in$ , divided into 20 congruent sectors,

The central angle is $18^\circ$

The fraction of a circle taken up by one sector is $\frac{1}{20}$

The area of one sector is $15.7in^2$ to the nearest tenth

The area of a circle is given by the formula

$A=\pi r^2$

A sector of a circle is a fraction of a circle. The fraction is given by $\frac{\theta}{360^\circ}$ . Where $\theta$ is the angle subtended by the sector at the center of the circle.

The formula for computing the area of a sector, given the angle at the center is

$A_s=\dfrac{\theta}{360^\circ}\times \pi r^2$

<h3>Given information</h3>

We given a circle (the dartboard) with diameter of $20in$ , divided into 20 equal(or, congruent) sectors

<h3>Part I: Finding the central angle</h3>

To find the central angle, divide $360^\circ$ by the number of sectors. Let $\alpha$ denote the central angle, then

$\alpha=\dfrac{360^\circ}{20}\\\\\alpha=18^\circ$

<h3>Part II: Find the fraction of the circle that one sector takes</h3>

The fraction of the circle that one sector takes up is found by dividing the angle a sector takes up by $360^\circ$ . The angle has already been computed in Part I (the central angle, $\alpha$ ). The fraction is

$f=\dfrac{\alpha}{360^\circ}\\\\f=\dfrac{18^\circ}{360^\circ}=\dfrac{1}{20}$

<h3>Part III: Find the area of one sector to the nearest tenth</h3>

The area of one sector can be gotten by multiplying the fraction gotten from Part II, with the area formula. That is

$A_s=f\times \pi r^2\\=\dfrac{1}{20}\times3.14\times\left(\dfrac{20}{2}\right)^2\\\\=\dfrac{1}{20}\times3.14\times10^2=15.7in^2$

Learn more about sectors of a circle brainly.com/question/3432053

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3 years ago

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Gnoma [55]

Choice 3

5/2, 15/6 divide by 3 = 5/2. 45/18 divide by 9 5/2

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3 years ago

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30 POINTS! Answer These Algebra 1 Questions ASAP!

MAXImum [283]

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4 years ago

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Find the sum without using a number line.<br> -8 1/6+2

Alina [70]

Answer:

Hi there!

Your answer is:

-35/6 OR -5 & 5/6

Step-by-step explanation:

-8 & 1/6

CHANGE TO IMPROPER FRACTION!

(-8*6 +1)/6

-48+1 / 6

-47 / 6

-47/6 + 2/1

CHANGE 2 SO IT HAS THE SAME DENOMINATOR

2/1 * 6/6

12/6

-47/6 + 12/6

-47+12

-35/6

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3 years ago

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PtichkaEL [24]

Step-by-step explanation:

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