Please answer

A girl read a book that had 1,159 pages. She read 72 pages on the first day. She then read 40 pages per day until she finished t

GarryVolchara [31]

Answer:

1,159=40d+72

8 0

3 years ago

Read 2 more answers

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

8 0

3 years ago

Whats an expression equivalent to 7/8

MakcuM [25]

Answer: 7/8

Step-by-step explanation:

To find the equivalent expression of a fraction, we can either multiply numerator and denominator by same variable or same number, or we can divide both numerator and denominator by same number or same variable .

So if we multiply both numerator and denominator by 2, we will get

$\frac{7*2}{8*2} = \frac{14}{16}$

3 0

3 years ago

Read 2 more answers

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?**

Ivahew [28]

Answer:
The new position of submarine is 550 feet below the sea level.
Given:
A submarine is located at 800 feet below sea level (i.e) if x is considered as the sea level, then it is located at x - 800. The submarine ascends 250 feet, (i.e) its new position is increased by 250 feet from its previous position, then its new position becomes 800 - 250 = 550 feet. Hence the new position of submarine is located at 550 feet below sea level, x.

6 0

4 years ago

Read 2 more answers

HELP ASAP THANK U !!

Dvinal [7]

Area of circle = πr^2 = 25π (r = 5)<span>
72 degrees is 1/5 of circle
so 25</span>π / 5 = 5π
<span>
area of triangle = 1/2 bh
</span>area of triangle <span>= 1/2(5.8)(4)
</span>area of triangle <span>= 11.6

area of figure = 5</span>π - 11.6
<span>
answer
A. (</span>5π - 11.6 ) ft^2<span>

</span>

8 0

3 years ago