Dannon has $10.80 in dimes and quarters. If Dannon has 32 more quarters than dimes, how many dimes does he have?

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

[tex]A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2[/tex]

Area of square,

[tex]A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2[/tex]

Now, probability is given by :

[tex]P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785[/tex]

Therefore, the probability that the point is inside the circle is 0.785 .

Answer:

Slope : 5x

Step-by-step explanation:

Answer:

p-3=8.25

p=11.25

Answer:

p - 3 = 8.25 and 11.25

Step-by-step explanation:

hi there!

the question is asking us to first find out which equation we can use to solve this wordy problem.

its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.

knowing that now, our answer is p - 3 = 8.25 or 4 !

now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it

3 + 8.25

= 11.25

p = 11.25 <---------------- our final answer!

i hope this helped you! i hope you have a good rest of your day :)

( im sorry if this this late!! )

Answer:

she is correct

Step-by-step explanation:

along with color she also has the type

like type:leather= color brown ,black ,blue

cloth= tan and gray

multiplication

type =2

leathers color =3

cloth color = 2

= 12

Answer:

12 miles

Step-by-step explanation:

1/2 inch per 2 miles

3 inches away

3 ÷ 1/2 = 6

6 * 2 = 12

Answer:

9.6%

Step-by-step explanation:

The probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

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

We have a rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

To get the geometric probability, we must find the area of the rectangle.

Total outcomes = 20' × 25' = 500'

Total favourable outcomes =  6' × 8' = 48'

Probability = 48/500 = 0.096

= 0.096×100 = 9.6%

Thus, the probability that a model rocket falling randomly on the pad will land in the target is 9.6% if the rectangular landing pad measures 20' × 25' with a rectangular target on the pad measuring 6' × 8'.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

And,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

We know that,

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Therefore, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

Answer:

⅖

Step-by-step explanation:

please like my answer and brainliest me... hshshshshs

Answer:

Look at the image.

Step-by-step explanation:

Answer:

9: one solution

10: 121

Step-by-step explanation:

Hope that helped!! maybe brainliest?

edit: so sorry 9 is actually two solutions not one

Answer:

x^16

Step-by-step explanation:

=> x^20 / x^4

=> x ^ 20-4

=> x^16

Please mark my answer as the brainliest for further answers :)

Answer:

$60

Step-by-step explanation:

Answer: [tex]\frac{x}{50} > 8[/tex]

Step-by-step explanation:

more than =    >  not ≥

Answer:

14.25ft

171 in

Step-by-step explanation:

Answer:

hope this helps .keep on learning

Answer:

A. Y ≤ 4.

Step-by-step explanation:

This  opens downwards and has a maximum  at f(x) = 4.

Answer: 5

Step-by-step explanation:

Answer:

me kown it

Step-by-step explanation:

The answer would be 128z^9.

This is because when you multiply exponents with a variable (z), you keep the base the same (8z and 16z), but you add the exponents together.

Answer:

369.03

Step-by-step explanation:

The figure is a pyramid with a rectangular base

The formula is A+1/2ps

A=130 (Area of the base)

p=46 (perimeter of the base)

s=15 (slant height)

Answer:

Your answer would be

X^2-7

Step-by-step explanation:

Hope it helps .

Good luck .

Answer:

go through the other door and get your dog... and then just wait for a parent to fix the door so you dont rip it of the rims

Step-by-step explanation:

Answer:

Just go out through the backdoor and save your dog and wait for your parents duh

Answer:

x = -1/3 or x = -4

Step-by-step explanation:

Answer:

x= [tex]\frac{-1}{3}[/tex]

x= -4

Step-by-step explanation:

[tex]6x^2+28x-2=2x-10[/tex]

Subtract 2x - 10 from both sides.

[tex]6x^2+26x+8=0[/tex]

[tex]x= \frac{ -(26) +/ \sqrt{(26)^2-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/\sqrt{676-4(6)(8)} }{2(6)}[/tex]

x= [tex]\frac{-26 +/ \sqrt{676-192} }{2(6)}[/tex]

x= [tex]\frac{-26+/\sqrt{484} }{2(6)}[/tex]

x= [tex]\frac{-26+/22}{12}[/tex]

x= [tex]\frac{-26+22}{12}[/tex]  = -0.33333333333333 = -1/3

x= [tex]\frac{-26-22}{12}[/tex]= -4

Answer:

they try to hack you and steal information that others should not know!! always report them.

Step-by-step explanation:

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.