Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Answer:

3015.92894745 cm^3

Step-by-step explanation:

Formula for volume of cylinder(v)= πr^2h

Here,

r=8 cm

h=15cm

Now,

V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3

[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town

Answer:

3 one

Step-by-step explanation:

Answer:

3 option is correct

Step-by-step explanation:

gd afternoon

have a lovely day

Answer:

912 lil fishies

Step-by-step explanation:

since its 3% per year, and 8 years, that's 24%. 1200 x 24% is 288, and 1200-288 is 912 lil fishies :)

hope this helps!!

brainliest is very appreciated!

Answer:

$ 143000

Step-by-step explanation:

her net worth is her assets and income minus her debts and expenses

160000 + 45000 - 22000 - 40000 = 143000

Answer:

D. 9%, 440.36 million

Step-by-step explanation:

w = 221(1.09)t

9%, 440.36 million

Answer: 1, -3/2

Step-by-step explanation:

Answer:

The capacity of the container is 2546.78 cm³.

Step-by-step explanation:

The volume of the frustum of a cone is:

[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]

The information provided is:

r = 16/2 = 8 cm

R = 24/2 = 12 cm

h = 8 cm

Compute the capacity of the container as follows:

[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]

            [tex]=\frac{\pi\cdot8}{3}\cdot[(12)^{2}+(12\cdot 8)+(8)^{2}]\\\\=\frac{8\pi}{3}\times [144+96+64]\\\\=\frac{8\pi}{3}\times304\\\\=2546.784445\\\\\approx 2546.78[/tex]

Thus, the capacity of the container is 2546.78 cm³.

Answer:

The length of the third side is 9.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

12² + b² = 15²

144 + b² = 225

√b² = √81

b = 9

Answer:

La opción correcta es;

Estudiante 2, ya que está aproximadamente a 32,39 metros de distancia

Step-by-step explanation:

Los parámetros dados son;

La distancia entre los dos estudiantes = 53 metros

El ángulo medido entre la línea del Estudiante 1 a la caja fuerte y el Estudiante 1 y el Estudiante 2 = 37 °

El ángulo medido entre la línea del Estudiante 2 a la caja fuerte y el Estudiante 2 y el Estudiante 1 = 43 °

Dado que los dos estudiantes y la caja fuerte forman los vértices de un triángulo, tenemos;

Sea θ el ángulo del triángulo opuesto a la distancia entre los dos estudiantes

Por lo tanto;

θ + 43 ° + 37 ° = 180 ° (teorema de suma de ángulos)

θ = 180 ° - (43 ° + 37 °) = 100 °

Por regla del seno, tenemos;

a / (sin (A) = b / sin (B)

Por lo tanto;

53 / (sin (100 °)) = b / (sin (37 °)) = c / (sin (43 °))

Lo que da;

b = (sin (37 °)) × 53 / (sin (100 °)) = 32,39 metros

c = (sin (43 grados)) × 53 / (sin (100 grados)) = 36,7 metros

Por lo tanto, el Estudiante 2 está más cerca, ya que está aproximadamente a 32,39 metros de distancia.

[tex]\\ \qquad\quad\sf\longmapsto 30\%\:of\:210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{30}{100}\times 210[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{6300}{100}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 63[/tex]

Step-by-step explanation:

[tex]★→30\% \: of \: 210 \\=>\frac{30}{100} \times 210 \\ =>\frac{6300}{100} \\ => \boxed{63}✓[/tex]

Answer:

1. No solution

2. Infinitely many solutions

3. Infinitely many solutions

4. One solution

Step-by-step explanation:

1.

x=y-3

2x-2y=6

Substitute x=y-3 in (2)

2(y-3)-2y=6

2y-6-2y=6

2y-2y=6+6

0=12

No solution

2.

5x+2y=-7

10x+4y=-14

Multiply (1) by 2 and (2) by 1

10x+4y=-14

10x+4y=-14

Subtract (3) from (4)

0+0=0

0=0

Infinitely many solutions

3.

y=2x+1

4x-2y=-2

Substitute y=2x+1 into (2)

4x-2(2x+1)=-2

4x-4x-2=-2

4x-4x=-2+2

0=0

Infinitely many solutions

4.

9x+6y=15

2y= -1+3x

From 2

2y+1-3x=0

-3x+2y=-1

9x+6y=15 (1)

-3x+2y=-1 (2)

Multiply (2) by 3

-9x+6y=-3

9x+6y=15

Subtract (3) from (1)

9x-(-9x)=15-(-3)

9x+9x=15+3

18x=18

x=18/18

=1

x=1

Substitute x=1 into (1)

9x+6y=15

9(1)+6y=15

9+6y=15

6y=15-9

6y=6

y=6/6

=1

One solution

See the diagram, and tell me if it's clear

Answer:

bro please send in a picture format so that it could be more easier

Answer:

t=-2

Step-by-step explanation:

Solve Exponent.

5t=0.04

log(5t)=log(0.04)(Take log of both sides)

t*(log(5))=log(0.04)

t=log(0.04)÷log (5)

t=−2

Answer:

The desired radius is r = 7.5 inches

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³.  A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.

We know that the volume of the hemisphere is 885 in³:

885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.

This is equivalent to:

885 in³ = (2π/3)r³.

We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):

(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³

Then r³ = 422.556 in³

Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:

r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)

The desired radius is r = 7.5 inches

Answer:

y = - 140

Step-by-step explanation:

Given that y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = - 180 when z = 15 and x = - 3, thus

- 180 = k × - 3 × 15 = - 45k ( divide both sides by - 45 )

4 = k

y = 4xz ← equation of variation

When x = 7 and z = - 5, then

y = 4 × 7 × - 5 = - 140

c. Tu | MN and MN || PQ I am done with the interview

Answer:

Hope it helps U can still ask me if u have confusions

Answer:

  60+16√30 cm² ≈ 147.64 cm²

Step-by-step explanation:

You can figure the height of the object from ...

  V = Bh

  120 cm^3 = (30 cm^2)h

  4 cm = h . . . . . divide by 30 cm^2

However, this is insufficient to tell you the surface area.

__

If you assume that the base is square, then its side length is

  A = s^2

  s = √A = √(30 cm^2) = (√30) cm

The lateral surface area can then be found from the perimeter of the base and the height

  LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2

The total surface area will be the sum of this lateral area and the area of the two bases:

 total area = 16√30 cm^2 +2·30 cm^2

 total area = (60 +16√30) cm^2 ≈ 147.64 cm^2

__

For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.

Answer:

w + 2

Step-by-step explanation:

Niki's height = w in

Desmond height = w + 2

Answer:

w+2

Step-by-step explanation:

Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.

Answer:

c=-12

Step-by-step explanation:

place 11 in for C > -1-11=

subtract 11 from -1. -12

Answer:

-1 is the answer

Step-by-step explanation:

I can't do the explanation of this question

Answer:

-1

Step-by-step explanation:-19 + 18 is basically how it is they end up canceling each other out except for the -1 which is the answer.

Answer:

Step-by-step explanation:

Let A= probability it rains

P(A)=0.2

Let B be the probability that the train is late = 0.05

P(B)=0.05

A and B  is A∩B= the probability it rains and the bus is late =0.01

probability pf (A and B)=0.01

7) independent events are related by expression:

A∩B=P(A)*P(B)

       =0.2*0.05=0.01  

check :

p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2

the two event are independent

Answer:

The two are independent.

Step-by-step explanation:

Answer:

-5 > x

Step-by-step explanation:

3x-11 > 7x+9

-20 > 4x

-5 > x

Answer:

300 miles.

Step-by-step explanation:

Distance = Rate * Time

We know the rate, 80 miles per hour.

We know the time, 3.75 hours.

As these use the same time unit, hours, we don't need to change any values.

We can just put these values into the formula:

[tex]d=r*t[/tex]

[tex]d=80*3.75=300[/tex]

Answer: 300 miles.

Greetings from Brasil...

According to the statement, one figure is scaled in relation to another, so we can apply similarity to polygons.....

So

BIG/small = BIG/small

or

small/BIG = small/BIG

12.5/10 = X/16

OR

10/12.5 = 16/X

12.5/10 = X/16

10X = 12.5 · 16

X = 200/10

Answer:

y= 2x+1

hope it helps...........

Answer:

Total distance = 6,540,000 km

Step-by-step explanation:

Given

Number of bicycles = 9,000,000

Average Distance = 6.5 km (to 1 d.p)

Required

Calculate the upper bound of all bicycle distance

First, we need to determine the range of the distance traveled by each bicycle;

Since, the average distance is approximated, then the Range is:

[tex]Range = (6.45km\ to\ 6.54km)[/tex]

All number in this range approximate to 6.5km

Note that the upper bound of the range is 6.54km;

Hence, total distance is calculated as thus;

[tex]Total\ distance = Number\ of\ bicycle * upper\ bound[/tex]

[tex]Total\ distance = 1,000,000 * 6.54km[/tex]

[tex]Total distance = 6,540,000km[/tex]

Answer:

Two solutions.

[tex]x = 8, -6[/tex]

Step-by-step explanation:

Given the equation:

[tex]\left|x-1\right|=7[/tex]

To find:

Number of solutions to the equation.

Solution:

First of all, let us learn about modulus function.

[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]

i.e. Modulus function changes to positive by adding a negative sign to the negative values.

It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.

It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.

Here, the function is:

[tex]|x-1|=7[/tex]

So, two values are possible for the modulus function:

[tex]\pm(x-1)=7[/tex]

Solving one by one:

[tex]x-1 = 7\\\Rightarrow x =8[/tex]

[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]

So, there are two solutions, [tex]x = 8, -6[/tex]

Answer:

Also to help some of you out here’s the answer to question 6 !!

Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A

Step-by-step explanation: