At a summer camp,the ratio of campers to adults is kept equivalent to 7:1 use equivalent ratios to complete the table

Answer:

Area of Regular Polygon = ( About ) 332.6 units^2; Option C

Step-by-step explanation:

~ Let us first declare consecutive notes. If we were to draw an altitude in this triangle, it would be perpendicular to the base, by definition. At the same time this shape is a regular polygon, so all sides ( and angles ) are ≅. This would mean that, by Coincidence Theorem, the altitude divides the base into the two ≅ parts. ~

1. If that is so, the altitude would split this base into parts ⇒ ( 16√3 )/2 = 8√3.

2. This would mean that the altitude can be found through Pythagorean Theorem, provided that by definition it forms a 90 degree angle at the base. Let us say x ⇒ the length of the altitude, ( 8√3 )^2 + ( x )^2 = ( 16√3 )^2 ⇒ 192 + x^2 = 768 ⇒ x^2 = 576 ⇒ length of altitude - 24 units

3. With the base 16√3 units, and the the altitude/height 24 units, we can find the area of this regular polygon to be ⇒ 1/2 * base * height ⇒ 1/2 * 16√3 * 24 ⇒ 192√3 units^2

4. That being said that area would be 192 * 1.732050808...... ⇒

Area of Regular Polygon = ( About ) 332.6 units^2

Answer:

1/2

Step-by-step explanation:

Answer:

7070- Seven thousand seventy/Seven thousand and seventy

75- Seventy five

Step-by-step explanation:

7070- Seven thousand seventy/Seven thousand and seventy

75- Seventy five

Answer:

Step-by-step explanation:

Givens

The average speed is defined as

[tex]s=\frac{d}{t}[/tex]

To finde Javier's speed, we need to transform 75 minutes into hours, we know that 1 hour is equivalent to 60 minutes.

[tex]h=75min \times \frac{1hr}{60min} =1.25 \ hr[/tex]

Now, we find the average speed

[tex]s_{Javier}=\frac{130km}{1.25hr}=104 \ km/hr[/tex]

Therefore, Javier's train travels 104 kilometers per hour.

On the other hand, Serah's traing travels from 9:35 to 12:50, which is equivalent to 3 hours and 15 minutes, but 15 minutes is equivalent to 0.25, so the total time is 3.25 hours, so the average speed is

[tex]s_{Serah}=\frac{377km}{3.25hr}= 116 \ km/hr[/tex]

So, the difference would be

[tex]116-104=12 \ km/hr[/tex]

Therefore, the difference between the average speed is 12 kilometers per hour, where Serah's train has the greatest speed.

Answer:

12 km/h

Step-by-step explanation:

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is [tex]A=\frac12bh[/tex]. One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in [tex]x=0[/tex].

Which gives you this when you plug it into both equations:

[tex]-y=1\\y=-1\\y=8[/tex]

So the y-intercepts for the graphs are [tex](0,-1)\\[/tex], and [tex](0,8)[/tex] respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

[tex]x-y=1\\2x+y=8\\3x=9\\x=3[/tex]

Now to solve for the y component substitute:

[tex]2(3)+y=8\\y=2[/tex]

Therefore, the graphs intersect at the following:

[tex](3,2)[/tex]

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

[tex]b=8-(-1)\\b=9[/tex]

The height must also be accounted for which is the following:

[tex]h=3[/tex]

Now the formula can be used:

[tex]A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2[/tex]

Answer: 13.5 units²

Step-by-step explanation:

Geometry Solution:

The base is along the y-axis from -1 to 8 = 9 units

The height is the largest x-value = 3

[tex]Area=\dfrac{base\times height}{2}\quad =\dfrac{9\times 3}{2}\quad =\dfrac{27}{2}\quad =\large\boxed{13.5}[/tex]

Calculus Solution:

[tex]\int^3_0[(-2x+8)-(x-1)]dx\\\\\\=\int^3_0(-3x+9)dx\\\\\\=\bigg(\dfrac{-3x^2}{2}+9x\bigg)\bigg|^3_0\\\\\\=\bigg(\dfrac{-3(3)^2}{2}+9(3)\bigg)-\bigg(\dfrac{-3(0)^2}{2}+9(0)\bigg)\\\\\\=\dfrac{-27}{2}+27-0-0\\\\\\=\dfrac{27}{2}\quad =\large\boxed{13.5}[/tex]

Answer:

h=12 in

Step-by-step explanation:

volume of cube=1/3πr²h

113.04=1/3×3.14×3²×h

h=113.04/(3.14×3)=37.68/3.14=12 in.

Answer:

12 in

Step-by-step explanation:

It's right

Answer & Step-by-step explanation:

In the problem, we are given two values of t. So, all we have to do is plug in the numbers for t to see which value solves the equation.

t = 2

t = 3

4(2) = 8

4(3) = 12

So, the value of t that solves the equation is t = 2

Answer:

Step-by-step explanation:

We can defined the amplitude of a wave as the height of it, because it's the distance from the maxium point to the minimum point. In other words, it's the longest vertical displacement along the wave.

Additionally, amplitude represents power, when we apply waves to real phenomenons like the sound. So, greater grade of amplitude would represent louder sounds.

Therefore, the increase of amplitude would increase distance between the maximum and minimun point of the wave.

Answer:

I'm thinking the ANS is letter B

Answer:

son 119 pasajeros por vieje y hace 4 viajes ,murtiplicas la cantidad de pasajeros por la cantidad de los viajes osea 119x4 el total seria:476 pasajeros

Answer:

1/4 + 31/4 =8

Step-by-step explanation:

break 8 into a fraction as 8/1

to get it to a common denominator multiply it by 4 so you get 32/4 and subtract 1/4 from that.

Answer:

7 3/4

Step-by-step explanation:

Convert 8 from a whole number to a fraction: 8/1

Do the inverse operation 8/1 - 1/4 = 31/4

31/4 = 7 3/4

Answer:

b=197.6cm

Step-by-step explanation:

Given that a = 41 and B =78°

From the diagram of the triangle,

Tan θ = opp/adj

Where θ=78°

Tan78°= b/41

b = tan78×41

b = 4.70× 41

b = 197.5944cm

To the nearest tenth

b=197.6cm

Answer:

The answer is approximately 50.27cm²

Answer:

Here is the solution of your problem.

Please mark as brainlist!

Answer:

4.

Step-by-step explanation:

It is exponential equation because exponential equations have those unprece curves or increasing/decreasing curves.

PLZ MARK BRAINLIEST!!!

Answer:

step 1: distribute -1

step 2: combine like terms

step 3: subtract 4 on both sides

step 4: divided both sides by -8, so u can isolate M alone

M=-2

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer: Jeremy score 18 points; Donovan score 6 points.

Step-by-step explanation:

Let Jeremy's points be a

Let Donovan's point be b

Let Kolby point be c

Jeremy scored triple the number of points as Donovan. This is:

a = 3b

Kolby scored double the number of points as Donovan. This will be:

c = 2b

The the three boys scored 36 points. This will be:

a + b + c = 36

Since a = 3b and c = 2b

Plug the equations for a and c into the equation. This will be:

a + b + c = 36

3b + b + 2b = 36

6b = 36

b = 36/6

b = 6

Donovan has 6 points

Jeremy will have:

a = 3b

a = 3 × 6

a = 18

Jeremy has 18 points.

Kolby will have:

c = 2b

c = 2 × 6

c = 12

Kolby will have 12 points.

Answer:

s = 9

Step-by-step explanation:

We can find the slope given two points

m = (y2-y1)/(x2-x1)

 9 = (s-0)/(9-8)

 9 = (s)/1

S = 9

Answer:

417

Step-by-step explanation:

count 1, 3, 5, (7) is the fourth one

it needs to be rounded to 400 so it is between 350 and 450

lets try in the 300s, 12 -(3 + 7) = 2. but 327 does not round to 400 so it does not work

lets try in the 400s, 12 - (4 + 7) = 1. put that one in the middle and you get 417 which fits the entire description

Answer:

Cannot be determined since the question is wrong.

Step-by-step explanation:

The fourth odd number is: 1, 3, 5, 7

h+t+o=12

h+t+7=12

Subtract 7 from both sides

h+t=5

If it rounds up to 400, h must be 3.

3+t=5

Subtract 3 from both sides

t=2

So our number is 327? It doesn't round up to 400 so the question is probably wrong. You probably got a typo in their like the numbers adding up to 12 or rounding to 300.

Answer:

We know that 6² = 36 , which is very close to 37 . Thus square root of 37 will be very close to 6

Answer:

There were 252 robberies in 2012.

Step-by-step explanation:

Number of robberies in 2011 = 240

5% Increase =

[tex]5/100*240=12[/tex]

Therefore, new number of robberies in 2012 =

[tex]240+12=252[/tex].

To confirm this figure, we use the formula,

% increase = Increase / Original number * 100

Increase= 12

Original number= 240

Therefore,

12 / 240*100 = 5

This confirms that, indeed, there was a 5% increase in 2012.

Answer:

(-1,2)

Step-by-step explanation:

The solutions to the system is where the lines intersect

The lines intersect at the point  (-1,2)

Answer:

D

Step-by-step explanation:

When we talk of the range, that means the difference between the highest and the lowest figure in the data set

The mean refers to the sum of the values in the data set divided by the count of the value in the data set.

let’s take a look at data set option A;

mean = [4(14) + 2(7)]/6 = (56 + 14)/6 = 70/6 which is definitely not 14 which makes the option wrong

Let’s take a look at option C

mean = {13(3) + 15)3)}/6 = (39 + 45)/6 = 84/6 = 14

While the range is 15-13 = 2 which does not make it right too

Now, a look at option D

mean = (13 + 12 + 15 + 15 + 11 + 18)/6 = 84/6 = 14

range = 18-11 = 7 (highway number in the set minus lowest number)

This makes option D our answer

Answer:

see below

Step-by-step explanation:

A+ B = 90

4x-10 + 2x-10 = 90

Combine like terms

6x -20 = 90

Add 20 to each side

6x -20+20 = 90+20

6x = 110

Divide by 6

6x/6 = 110/6

x = 55/3

A = 4x-10  = 4(55/3)  -10

A=63 1/3

B = 2x-10 = 2(55/3) -10  

     26 2/3

Answer:

[tex]m=-5[/tex]

Step-by-step explanation:

[tex]\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}=\left(\frac{3}{5}\right)^{3m+1}\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]

[tex]\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\mathrm{Solve\:}\:\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right):\quad m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}[/tex]

[tex]m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}\\\mathrm{Decimal}:\quad m=-5[/tex]

Answer:

Felipe dio un paso incorrecto de acuerdo con el sistema de valor posicional al sumar la suma de 1,000 a 39,200. La manera correcta en que Felipe debe abordar esto se muestra en la explicación a continuación.

Step-by-step explanation:

En el sistema de valor posicional; cada número representa una entidad particular; ya sea unidad, decenas, cientos, mil, diez mil etc. En la pregunta dada, el número 39200 indica que 9 está en el valor posicional de mil, es decir, 9000.

Entonces, si Felipe desea cambiar de 8 a 9, entonces necesita restar 9000-8000 = 1000

Sin embargo; si quiere cambiar 9 a cero; entonces restará 9000 de 9000; pero ya que 9 no funciona; Primero debe restar 8000 y luego restar 1000.

Answer:

Roy is 6 years old and Aaron is 1 year old.

Step-by-step explanation:

A is Aaron's age,

R is roy's age,

A = R - 5

R + 4 = 2(A+4)

We can distribute first,

R + 4 = 2A + 8

Subtract 4 from each side,

R = 2A + 4

Since A = R - 5, you can substitute in R - 5 for A in the equation,

R = 2(R-5) + 4

Distribute,

R = 2R - 10 + 4

Since - 10 + 4 = -6, we can do this,

R = 2R - 6

Subtract R from both sides,

0 = R - 6

Add 6 to both sides and you have part of your answer;

R = 6

Since A = R - 5,

A = 6 - 5

A = 1, so Aaron's age is 1.

Answer: right angle triangle

Step-by-step explanation:

we only use Pythagorean theorem to find the length of the missing side of a right angle triangle only.