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The probability of throwing a drop of paint into one of the triangles is 3.96% if a  large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Total area of the canvas = 9' x 21' = 189 square units

This area is representing the total outcome =  189

Total favorable outcome = area of first triangle + area of the second          

                                             triangle  

Area of the first triangle = (1/2)(1x3) = 3/2 square units

From the Pythagoras theorem:

Height = √(5² - 3²) = 4'

Area of the second triangle = (1/2)(3x4) = 6 square units

Total favourable outcome = 3/2 + 6 = 15/2

Now the probability:

[tex]= \frac{\frac{15}{2} }{189}[/tex]

= 15/378

= 0.0396×100

= 3.96%

Thus, the probability of throwing a drop of paint into one of the triangles is 3.96% if a  large white canvas, 9' x 21', has two triangles painted on it, one with a base of a 1' and a height of 3', and the other with a right triangle with a hypotenuse of 5' and a side of 3'

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Answer:

30x^4-115x^3+127x^2+115x+44

Step-by-step explanation:

This is what I got, let me know if I'm right.

Answer:

AM/AB = AN/AC = MN/BC

3/5 = MN/2

MN^5 = 2^3

5MN = 6

MN = 5/6 = 1.2cm

AN/AC = MN/BC

AN/5 = 1.2/2

2'AN = 5',1

2AN = 6

AN = 3cm

P AMN=

AM+MN+AN=

3+1,2+3 = 7,20cm

P BMNC=

BM+MN+NC+CB=

2+1,2+2+2=7,20cm

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Answer:

a.$1230

b.$20.50

Step-by-step explanation:

Assuming Landon only makes the minimum payments for the sixty months this is how you would find it

Multiply loan by percentage over the five years: 4100 x .3 = 1230

Then divide that amount by months paid: 1230/60= 20.5

Answer:

50.24

Step-by-step explanation:

4²=16

16×3.14=50.24

Firstly, we must use the equation to solving a circle which is [tex]A = \pi r^2[/tex]. Since we already know pi (3.14) and the radius (4), we must plug the numbers into the formula. Here is how it should look like with the plug-ins: [tex]A = 3.14 * 4^2[/tex].

Next, we solve the formula. After solving, we get 50.24. The final answer to the problem is 50.24 inches squared.

The option will be d) no solution

Please check the attachment for full solution

Answer: (6,7)

Step-by-step explanation: (6,7) because if you move right 3 and then move back 3, you end up where you started. So it's the number you started with. (6,7)

Answer:

30.84 in

Step-by-step explanation:

First we find the circumference, which is d(pi), 12(3.14) which = 37.68. Then since the circle is a semicircle, we divide 37.68 by 2=18.84 in. Then we have to add 12 since the circle is cut in half, so add 12 to get 30.84.

Answer:

y=−3−2x

Step-by-step explanation:

y=−2x−3

Answer:

The answer for both is y=-2x-3

Step-by-step explanation:

I hope this helps!

Answer:

606 feet

Step-by-step explanation:

The fireword has a 5-second fuse, meaning that's how long it will take to explode.

Given the polynomial -16t² + 200t + 6, where t is the time in seconds

We need to subsitute 5 sec. (as stated in the question) for t in the polynomial, to find how high the fireworks will be when it explodes :

-16t² + 200t + 6 <== substitute 5 for t

-16(5)² + 200(5) + 6 <== square the exponent first

-16(25) + 1000 + 6 <== multiply

-400 + 1000 + 6 <== add

-400 + 1006 <== add

606 feet <== final answer

This means that it will be 606 feet high before it explodes.

Hope this helps!

Answer:

10^4 * 4^5

Step-by-step explanation:

4^5 and 4^10 cancell out by the rule of exponents, so the denominator becomes 1. what is left is 10^4 * 4^5 in the denominator.

Answer:

[tex]{10^4*4^5}[/tex]

Step-by-step explanation:

Use the Qoutient of Powers Property: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]\frac{10^4*4^{10} < ==a^m}{4^5 < ==a^n}\\\\{10^4*4^{10-5}}\\\\{10^4*4^5}[/tex]

Hope this helps!

Answer:

20% is taken away from 50 to get 40

Answer:

3packs of dolls and 5packs of stands

Step-by-step explanation:

1 pack = 6stands

3packs =3×6

=30 stands

1 pack =10 dolls

3packs =3×10

=30 dolls

Answer:

7.5 or 7 1/2yards

Step-by-step explanation:

I believe that this is a simple 2.5*3 equation making the answer 7.5, because she has 3 sisters and you can guess that it is a blanket per sister, which makes it 3 blankets and each blanket is 2.5 yards so you multiply the two to see how much material you need.

Answer:

The answer is 7.5

Step-by-step explanation:

Multiply the 2.5 times 3 and you get 7.5

hope this helps <3

Answer:

43

Step-by-step explanation:

La opinión correcta es la de Camila que argumenta que la frecuencia relativa de la cara con el #6 será un valor cercano a 0,166.

La frecuencia relativa es un término matemático que se utiliza en la estadística para referirse al número de veces que un evento se repite durante un experimento.

Por otra parte, es necesario aclara que la frecuencia relativa no se modifica en gran medida si se aumenta el número de veces de una prueba, debido a que la probabilidad de ocurrencia de este evento va a ser la misma.

De acuerdo a lo anterior, Camila tiene razón debido a que considera que el valor de la frecuencia relativa no se modifica en gran medida entre 300 o 600 lanzamientos de los dados.

Nota: Esta pregunta está incompleta porque no está la tabla. No obstante, la puedo responder basado en mi conocimiento previo.

Aprenda más sobre probabilidad en: https://brainly.com/question/16019390

Answer:

it's 1,024

Step-by-step explanation:

4x4x4x4x4

Step-by-step explanation:

Total surface area of a cylinder =

Area of curved surface (the round body) + area of two circular covers ( the top and bottom cover)

= 2πrh + 2πr²

= 2πr(h+r)

= 2 • 3.14• 6•(8+6)

= 527.52 m²

Cost per m²

= 17,408.16/527.52

= £33

Answer:

1764

Step-by-step explanation:

10 x 98 = 980

8 x 98 = 784

980 + 784 = 1764

Answer:

I would choose A) 1764

Step-by-step explanation:

I know this because I used a calculator;)

Answer:

One tank can hold, on average, 108.1 gallons of water. A half tank will hold 54.05 gallons of water.

Step-by-step explanation:

432.4 galloons in total in 4 tanks

432.4 : 4

? : 1

432.4/4=108.1, so 108.1 gallons in each tank

Half of 108.1 is 54.05, so half a tank would have 54.05 gallons.

Answer:

x=120 degrees

Step-by-step explanation:

All triangle add up to 180 degrees so first you need to finnish the triangle which is 60 degrees. X and 60 degrees is on a straight line which means something + 60= 180.

(180-60=120)

x= 120

The median of this dataset is 13.

Hope it helps.

Do comment if you have any query.

Answer:ax-by=1

Step-by-step explanation:

Answer:

$36.04

Step-by-step explanation:

34 * 1.06 = 36.04

Answer:
fraction:

x = [tex]\frac{1}{8}[/tex]  
decimal:

x = 0.125

Step-by-step explanation:

64 divided by 8 = 8
[tex]\frac{64}{8}[/tex] = 8
So if youre changing this to multiplication you want to multiply by [tex]\frac{1}{8}[/tex]
[tex]\frac{64}{1}[/tex] * ( [tex]\frac{1}{8}[/tex] )= [tex]\frac{64}{8}[/tex] = [tex]\frac{8}{1}[/tex] = 8

Answer:

fraction:

x = \frac{1}{8}81  

decimal:

x = 0.125

Step-by-step explanation:

64 divided by 8 = 8

\frac{64}{8}864 = 8

So if youre changing this to multiplication you want to multiply by \frac{1}{8}81

\frac{64}{1}164 * ( \frac{1}{8}81 )= \frac{64}{8}864 = \frac{8}{1}18 = 8

Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.

It is modeled by:

[tex]y = ab^x[/tex]

In which:

Function 1 is given by:

[tex]y = 2(0.2)^x[/tex]

Hence the rate is b = 0.2.

Considering the values on the table, function 2 is given by:

[tex]y = (0.8)^x[/tex]

Hence the rate is b = 0.8.

Hence, the second function has a greater rate, as 0.8 > 0.2.

More can be learned about exponential function concepts at https://brainly.com/question/14398287