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3 years ago

The circumference of a circle is 40.8 centimeters.

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

132.54cm²

Step-by-step explanation:

We can use the formula [ C²/4π ] to solve.

= 40.8²/4π

= 1,664.64/12.56

≈ 132.54cm²

Best of Luck!

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There is a bag filled with 4 blue, 3 red and 5 green marbles.

Vsevolod [243]

<h2>The chances of receiving two greens are 5/31.</h2>

Given a bag containing four blue, three red, and five green marbles, the total result is:

Total number of balls = 4 + 3 + 5 = 12

If green is chosen first, the chances of picking a green are 5/12.

The probability that the second stone is green is 4/11 if it is picked and not replaced (4 greens remaining)

The chance of earning two greens is 5/12 4/11.

The chance of getting two greens is 20/132.

The chance of earning two greens is 5/31.

<h3>As a result, the chance of getting two greens is 5/31.</h3>

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2 years ago

What is the volume of a sphere with a diameter of 10 m, rounded to the nearest tenth of a cubic meter

kirill [66]

Answer:

4188.8 cm^3

Step-by-step explanation:

We can calculate the volume of a sphere by using the following equation:

$\frac{4}{3}\pi r^{3}$

(r=radius)

so let's just plug in what we know

4/3(pi)(10)^3

we can calculate this with a calculator to get 4188.8 cm^3.

4 0

3 years ago

How do you know what angle degree goes on each corner?

Dahasolnce [82]

Let'sSo, we gave 2 parallel lines and 2 transversals, we have to match the angles.

Let's start with angle b,

$\begin{gathered} b+65=180\text{ (angles in a straight line)} \\ b=180-65 \\ b=115^o \end{gathered}$

Let's move on to angle e,

$\begin{gathered} e=b\text{ (Vertically opposite angles)} \\ \text{but b = 115}^o \\ e=115^o^{} \end{gathered}$

Let's move on to angle d,

$d=110^o\text{ (V}ertically\text{ opposite angles)}$

Moving to angle c, we have;

$c=45^o\text{ (Vertically opposite angles)}$

And, angle a;

$\begin{gathered} a=b\text{ (Alternate angles)} \\ a=115^o \end{gathered}$

8 0

1 year ago

Square the Monomials (-7a^3b^5)^2 - (9a^4bc)^2

Law Incorporation [45]

Answer:

1. 49a^6b^10

2. −81a^8b^2c^2

Step-by-step explanation:

N/A

3 0

2 years ago

| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the

Westkost [7]

Answer:

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

Left Speed(km/h) Time

Car: 12PM X

Van: 12PM 60

Car/Van

DistanceCar AB + z

DistanceVan Az

Ratio: (AB+z)/Az = 7/5

Time until both meet = T (in hours)

Distance Car: xT

Distance Van: 60T

====

xT = AB + z

60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is: time (hr) = 108 km/(84 km/h)

time = 1.286 hours

Distance for at 1.289 hours is: distance (km) = (60 km/h)*(1.286 h)

distance = 77.14 km

At 1.286 hours, the car reverses direction. The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours. The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let t be the time after 1.286 hours that both vehicles meet/collide.

t*(60 km/h) + t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

==============

CHECK

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

YES

3 0

2 years ago