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2 years ago

Is the equation below an example of growth or decay? y=2.1(0.150)x

Mathematics

1 answer:

galben [10]2 years ago

8 0

That is a decay equation because .150 is less than 1.

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AYUDA POR FAVOR, ES URGENTE

Alika [10]

Answer:

212

Step-by-step explanation:

13 * 17 = 221

221- 9 = 212

6 0

2 years ago

Jessica makes $9.00 an hour babysitting her sister. If Jessica made $38.25 how many hours did she babysit?

lozanna [386]

Answer

4.25

Step-by-step explanation:

She would have baby sat for 4 hours and 15 minutes.

the 15 minutes comes in when we have the .25 because 1/4 of an hour is 15 minutes.

we can check this if we do 38.25 divided by 4.25 and we get 9.

4 0

2 years ago

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

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