what is 3c-9d+7c+5d simplified

Answer:

· Area = pi*r^2. 121 = pi*r^2. Solve for r. Circumference = 2*pi*r. plug r into that equation and solve for Circumference

Use the given functions to set up and simplify f e e t . 121 π f t 2 = f e e t = f e 2 t

Step-by-step explanation:

The circumference of the given circle will be 22π feet.

Circumference refers to the distance around the edge of a circle or any other curved shape. It is essentially the perimeter of the circle, and it is calculated by multiplying the diameter of the circle by the mathematical constant pi (π).

The area of a circle is given by the formula:

A = πr²

where "r" is the radius of the circle. We are given that the area of the circle is 121π ft². Therefore, we can write:

121π = πr²

Dividing both sides of the equation by π, we get:

121 = r²

Taking the square root of both sides of the equation, we get:

r = 11

Therefore, the radius of the circle is 11 feet.

The circumference of a circle is given by the formula:

C = 2πr

Substituting the value of "r" that we found above, we get:

C = 2π(11) = 22π

The circumference is 22π feet.

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Answer:

144

Step-by-step explanation:

Sum of interior angles:

180(n-2)

180(10-2)  

1440

Measure of each interior angle:

1440/10=144

Answer:

decay factor i think

Step-by-step explanation:

Answer:

(-2)(4)

Step-by-step explanation:

(-2)(4) because we made four ”steps” of the lenght of two on the left

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:

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'.

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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:

12 miles

Step-by-step explanation:

1/2 inch per 2 miles

3 inches away

3 ÷ 1/2 = 6

6 * 2 = 12

Answer:

yes it is.

Step-by-step explanation:

Answer:

A)113cm^2

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:

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

y2=3

y1=8

x2=5

x1=(-1)

3-8/5-(-1)

3-8=(-5)

5-(-1)=5+1=6

M=-5/6

The slope is m=-5/6.

If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope . To do that we are going to use the slope formula: .

From our two points we can infer that , , , . Lets replace those values in the slope formula:

Now that we have our slope, we can use the slope-intercept formula:

We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is .

Answer:

There is a 75% chance of sunny skies tomorrow.

Step-by-step explanation:

75% chance is the same likelihood as the business scenario. Hope this helps!

Answer:

60.1°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Sine

sin x = Opposite/Hypotenuse

x = Angle of Depression

Opposite = 15ft

Hypotenuse = 17.3ft

sin x = 15ft/17.3ft

x = arc sin (15ft/17.3ft)

x = arcsin(0.8670520231213873)

60.117851927°

Approximately Angle of depression = 60.1°

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:

Step-by-step explanation:

According to figure,

54° + 3x+36° = 180° [Linear pair]

=> 3x + 90 = 180

=> 3x = 180 - 90

=> 3x = 90

[tex] = > x = \frac{90}{3} [/tex]

=> x = 30 (Ans)

Answer:

x=30

Step-by-step explanation:

cuz that line is 180 degrees and using algebra you can subtract 54 from both sides and get 126 then u have to subtract the 36 from both side to geth 90 and then divide the 3x to get x by itself which would leave u with 30 so x=30

Answer:

me kown it

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

Answer:

A. Y ≤ 4.

Step-by-step explanation:

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

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:

A)t=9w+25. T=12w+10

Step-by-step explanation:

Equation for you:

t = 25 + 9w

Equation for friend:

t = 10 + 12w

Answer:

D. a109=-1,953

A=b h................

Answer:

A = 20

Step-by-step explanation:

A = bh

b = 4

h = 5

4 × 5 = 20

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:

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

Step-by-step explanation:

Answer:

Slope : 5x

Step-by-step explanation: