All categories

3 years ago

A sector with a radius 7 cm has an area of 49/3 pi cm2. What is the central angle measure of the sector in degrees?

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

7 0

Answer:

120°

Step-by-step explanation:

Area of a sector is:

A = πr² (θ/360°)

Plugging in values and solving:

49/3 π = π (7)² (θ/360°)

49/3 π = 49π (θ/360°)

1/3 = θ/360°

θ = 120°

Leona [35]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

What is 8 meters increased by 20%

NeX [460]

8 increased by 20% is 9.6 i hope this helps :)

8 0

2 years ago

There are currently 17 frogs in a (large) pond. The frog population grows exponentially, tripling every 6 days. How long will it

Tema [17]

Answer:

t=11,11 days

Step-by-step explanation:

F=frogs poblation, t=time, be the variables dF/dt = KF, dF/F=Kdt, integrating $\int\limits^ {} \, dF/F =K\int\limits^ {} \, dt$ ⇒ LnF=Kt+c, $F=ce^{Kt}$ ; Knowing t=0, F=17 and t=6 F=51 (tripling every 6 days (17*3)), $F=ce^{K0} = F=c=17; F=17e^{6K} =51$ ⇒ $e^{6K} =51/17; K6=ln\frac{51}{17} ; K=ln\frac{51}{17}/6=0.183$ , so $F=17e^{0,183t}$ , now if F=130, t=? we have:

$130=17e^{0.183t} =e^{0.183t} =130/17; 0.183t=ln(130/17); t=ln(130/17)/0.183 = 11,11$

8 0

3 years ago

Convert 3.55 grams potassium to atoms

vampirchik [111]

<span>Firstly, you'll need to convert the grams into number of mols. Since no. of mol = mass/molecular weight3.55/39.1 = 0.09079 mol because 1 mol of potassium ...</span><span>
</span>

6 0

3 years ago

This graph represents Andre's distance from his bicycle

Strike441 [17]

Answer:

True

False

True

5 0

2 years ago

What is -|-4| equal to?

goblinko [34]

Simple, it is equal to |4|, you have to draw the lines around the 4 on the worksheet.

4 0

3 years ago