please help me answer this asap thank you


In circle N chord CD is 18. Find the length of the radius to the nearest tenth.

Please Help Me Answer This Asap Thank You In Circle N Chord CD Is 18. Find The Length Of The Radius To

Answers

Answer 1

The radius of the given circle is 12.1 (correct to the nearest tenth), computed using chord properties.

We assume the radius of this circle to be x.

By the theorem saying that a perpendicular from the center of the circle to a chord, bisects the chord, we can say that CE = ED = 0.5CD = 0.5*18 = 9.

Now, we know that NC = NA = radius of the circle = x.

We are given that AE = 4.

Therefore, NE = NA - AE = x - 4.

Now, in right-angled triangle NEC, by Pythagoras theorem, we can say that,

NC² = CE² + NE²

or, x² = 9² + (x - 4)²

or, x² = 81 + x² - 8x + 16

or, x² - x² + 8x = 97

or, 8x = 97

or, x = 97/8 = 12.125 ≈ 12.1 (correct to the nearest tenth, that is, rounding off up to one decimal place).

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Related Questions

Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept for

Answers

Answer:

8y + 7x - 17 = 0

Step-by-step explanation:

You'll use;

y2 - y1/ x2- x1 = y - y1/x- x1

Danielle rented a canoe for 4 hours while on vacation. She paid a fixed hourly rate and a $55 damage deposit. The resulting cost was $123. What was the hourly cost to rent the canoe?

Answers

The answer is basically 12 subtrac

Answer:

The hourly cost is 17 dollars.

Step-by-step explanation:

1. Subtract the damage deposit from the total cost to get 68.

2. Divide 4 from 68 to get 17. Which is the hourly cost.

NO LINKS!! A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by f(x)= -0.0.25x+x+6, where x is the ball's horizontal distance, in yards, from the quarterback. What is the ball's maximum height and how far from the quarterback does this occur?​

Answers

Answer:

Maximum height = 16 yards

This occurs 20 yards from the quarterback.

Step-by-step explanation:

Given function:  [tex]f(x)=-0.025x^2+x+6[/tex]

To find the maximum (turning point), differentiate the function:

[tex]f('x)=-0.05x+1[/tex]

Set the derivative to zero and solve for [tex]x[/tex]:

[tex]\implies f'(x)=0[/tex]

[tex]\implies -0.05x+1=0[/tex]

[tex]\implies 0.05x=1[/tex]

[tex]\implies x=20[/tex]

Substitute found value of [tex]x[/tex] into the function to find the maximum height:

[tex]f(20)=-0.025(20)^2+(20)+6=16[/tex]

Therefore, the maximum height is 16 yards.

This occurs 20 yards from the quarterback.

The maximum height of the football can be 16 yards and this occurs 20 yards from the quarterback. The concepts of differentiation are used to solve this problem.

Differentiation is a fundamental mathematical concept that is generally used to obtain the rate of change or slopes of a line.

It is given that the height of the football is modeled as the following function:

f(x) = -0.025x² + x + 6

where x is the ball's horizontal distance (in yards) from the quarterback.

To obtain the maximum height of the ball, the equation is needed to be differentiated and set equal to zero as follows:

[tex]\dfrac{d}{dx}f(x) = 0\\\dfrac{d}{dx}(-0.025x^2+x+6)=0\\-0.025\times2x +1 = 0\\-0.05x+1 = 0\\x = \dfrac{1}{0.05}\\x = 20[/tex]

Substitute this value of x in f(x) to find the maximum height,

f(20) = -0.025(20)² + 20 + 6

f(20) = -0.025 × 400 + 26

f(20) = -10 + 26

f(20) = 16

Therefore, the maximum height is 16 yards and this occurs 20 yards from the quarterback.

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The complete question is as follows:

A quarterback tosses a football to a receiver 40 yards downfield. The height of the football, f(x), in feet, can be modeled by f(x) = -0.025x²+x+6, where x is the ball's horizontal distance, in yards, from the quarterback. What is the ball's maximum height and how far from the quarterback does this occur?​

Joe bought shin guards for $15.35 and socks for $5.89. What is his total cost?

Answers

Answer:

$24.24 is his total cost

Step-by-step explanation:

    15.35

  +  5.89

---------------

24.24

Need help with this

Answers

Answer:

It's a polynomial because...

it has a power degree, in this case, 4

it has real numbers

doesn't have negative exponents

doesn't have 'x' in the denominator ex, ( 3/x )

doesn't have a square root of ex. √x, √5

I hope this helped some!

if 9 is added to a number x the result is greater than 17. Find the range of values of x

Answers

Answer:

See below.

Step-by-step explanation:

x+9>17

  -9  -9

x>8

-hope it helps

Solve for x .

A) 48

B)42

C)47

D) 44

Answers

Answer:

B. 42.

Step-by-step explanation:

x/35 = 30/25

25x = 30*35

x = (30*35)/25

  = 1050/25

  = 42.

 

Solve for x. Please look at the picture and answer it. Thank you

Answers

triangles add to 180 so you can do 42+60= 102 now add that to 14 which is 116 so your new equation is (8x+116)=180 so now 180-116= 64 and 8/64 = 8
ANSWER x=8

I've tried this multiple times and cant seem to get the right answer could someone help solve this?

Answers

Answer:

[tex]\dfrac{6\pi -9\sqrt{3} }{16}[/tex]

Step-by-step explanation:

You need to rewrite [tex]\cos^2 \theta[/tex] using cos double angle identity:

[tex]\cos 2\theta= \cos^2\theta-\sin^2\theta[/tex]

[tex]\implies \cos 2\theta= \cos^2\theta-(1-\cos^2\theta)[/tex]

[tex]\implies \cos 2\theta=2 \cos^2\theta-1[/tex]

[tex]\implies \cos^2\theta=\dfrac12(\cos 2\theta+1)[/tex]

Then substitute this into the integration.

Please see the attachment for the full integration (it was clearer for me to type this in MS word than use the equation editor here)

Recall the double angle identity for cosines

[tex]{\boxed{\bf{2\cos^{2}(\theta)=1+\cos (2\theta)}}}[/tex]

Using this the integral becomes :

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\{3\cos (\theta)\}^{2}d\theta}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}9\cos^{2}(\theta)d\theta}[/tex]

As we can take constant out of the integrand so we have

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\cos^{2}(\theta)d\theta}[/tex]

Using the double angle identity for cosines ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{2}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\bigg\{\dfrac{1+\cos (2\theta)}{2}\bigg\}d\theta}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\{1+\cos (2\theta)\}d\theta}[/tex]

Now , as integrals follow distributive property, so we now have

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg(\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}d\theta+\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\cos (2\theta)d\theta \bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg\{\bigg(\theta +\dfrac{\sin (2\theta)}{2}\bigg) \bigg|_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg[\dfrac{\pi}{2}-\dfrac{\pi}{3}+\dfrac{1}{2}\bigg\{\sin (\pi)-\sin \left(\dfrac{2\pi}{3}\right)\bigg\}\bigg]}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg\{\dfrac{3\pi -2\pi}{6}+\dfrac{1}{2}\bigg(-\dfrac{\sqrt{3}}{2}\bigg)\bigg\}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg(\dfrac{\pi}{6}-\dfrac{\sqrt{3}}{4}\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{9}{4}\bigg(\dfrac{2\pi -3\sqrt{3}}{12}\bigg)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{3(2\pi -3\sqrt{3})}{4\times 4}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{6\pi -9\sqrt{3}}{16}}[/tex]

[tex]{:\implies \quad \displaystyle \bf \therefore \quad \underline{\underline{\int_{\tiny \dfrac{\pi}{3}}^{\tiny \dfrac{\pi}{2}}\{3\cos (\theta)\}^{2}d\theta =\dfrac{6\pi -9\sqrt{3}}{16}}}}[/tex]

Used Concepts :-

[tex]{\boxed{\displaystyle \bf \int dx=x+C}}[/tex]

[tex]{\boxed{\displaystyle \bf \int \cos (nx)dx=\dfrac{\sin (nx)}{n}+C}}[/tex]

F(3) F(x)=(1/5)^x 2.2.3

Answers

Answer:

f(3)f(x)=( (1/5)^x)^2.2


24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?

Answers

Answer:

75%

Step-by-step explanation:

You do 18/24. This gives you 0.75 or 75%

The train station clock runs too fast and gains 5 minutes every 3 days.
How many minutes and seconds will it have gained at the end of 4 days?

Answers

Answer:

first find the average per day. 5/3= 1 & 2/3... 2/3 of a minute is 40 is 60/3=20 seconds. so 4 days would be the full 5 minutes plus another 1 minute and another 40 seconds.. so by day 4 it would be 6 min and 40 seconds.

26. Let S = (-1,0,2,4,7). Find f(S) if
a) f(x)= 1.
b) f(x)=2x + 1.
c) f(x) = x/5
. d) f(x)=(x2 + 1)/3).

Answers

Answer:

d.f(x)=(×2 +1)/3).

Step-by-step explanation:

I think that was my answer

Choose the angles that are coterminal with -225° with -45° -125° -225° -495° 45° 135° 225° 495°

Answers

Answer:

  -225°, 135°, 495°

Step-by-step explanation:

Adding or subtracting multiples of 360° will give angle values that are coterminal with a given angle.

  -225° -360° = -595° (not on the list)

  -225° +0·360° = -225°

  -225° +360° = 135°

  -225° +2·360° = 495°

Angles -225°, 135°, 495° are coterminal with -225°.

4^2+4^6 solve this please

Answers

Answer:

[tex]4,112[/tex]

Step-by-step explanation:

[tex]4^2 =16[/tex]

[tex]4^6=4096[/tex]

[tex]4096+16=4112[/tex]

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−[tex]xXheyoXx[/tex]

Emma and Daniel both had fevers and were found to
both have a temperature of 101 degrees F. What was
their combined temperature?

Answers

Answer:The temperature at 4 degrees Fahrenheit is considered moderate. Between 100 and 150 degrees Fahrenheit. Neither was more than 104 in both cases.

Step-by-step explanation:

how do you calculate Ending Inventory if beginning inventory is 15000 the purchases is 24,000 and the cost of good sold is 23,000.

Answers


The ending inventory is: $14000

Find the missing side length

Answers

Answer:

The missing side length is 36

Step-by-step explanation:

You need to find the ratio of the dilation so if you take corresponding sides, for example, 72 and divide by 8 you get 9. So, if you multiply each side of the triangle XYZ by 9, it should get the length of the sides on triangle ABC.

4 * 9 = 36

Hope this helps! :)

Answer:

36

Step-by-step explanation:

72 is 9 times 8

63 is 9 times 7

36 is 9 times 4

     another way

       63/7 = x/4

7x = 252

x =36

3 ounces cost $273
Find the unit rate

Answers

Answer:

$91 per ounce

Step-by-step explanation:

If 3 ounces cost $273, we can divide both sides by 3 to find the unit rate. To make this clearer, we use the variable [tex]x[/tex] for ounces. Then, we have the equation

[tex]3x=273[/tex].

Dividing both sides by 3, we have

[tex]x=91[/tex].

The cost of one ounce is $91.

La II - Evaluating and Graphing Polynomial Functions
-
Notes
eas/Questions
Notes/Examples
EROS
• The point(s) at which the function intersect the
• A polynomial function of degreen can have at most
real zeros
• An even degee polynomial has an
number of zeros (or no zeros).
• An odd degree polynomial has an
number of zeros (or no zeros).
IFY BY

Answers

Answer:

need ko points po please pa answer ng paanswer ngxquestion koooooo

2 ft is equal to how many meters?

Answers

Answer:

2 feet is equal to 0.609 meters

One meter is equal to roughly 3.281 feet.

So two feet is less than one meter.

To find how many meters a certain amount of feet is, you divide by 3.281

2 ÷ 3.281 = 0.609

2 feet is equal to 0.609 meters

Answer:

0.61 meter

Step-by-step explanation:

In a survey of a community, 58% like to listen to the radio only and 18% like to watch the T.V. only. If the number of people who like to listen to the radio is thrice the number of people who like to watch the T.V., then,
(i) Find percentage of people who donot like both of them.
ii Represent the above information in venn diagram. ​

Answers

The percentage of those that did not like both of them is 76%

Venn diagrams and set notation

Let the total number of people in the community be 100%

n(u) = 100

If 58% like to listen to the radio only and 18% like to watch the T.V. only, then;

n(R) = 58 - x

n(T) = 118 - x

where x is the percentage of people who do not like both of them. Taking the sum;

58 + x + 18 = 100

x + 76 = 100

x = 100 - 76

x = 24

Hence 24% of people like both of them.

The percentage of those that did not like both of them is 76%

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here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct​

Answers

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

Find the distance between the two points in simplest radical form.
(-5,0) and (-9,9)

Answers

Answer:

√97 units

Step-by-step explanation:

the distance between the two points in (-5,0) and (-9,9) is √97 units.

Answer:

  √97

Step-by-step explanation:
  The formula is: d=√(x²-x¹)²+(y²-y¹)²

√(-9 - -5)^2 + (9 - 0)^2
√(-4)2 + (9)2
√97
It cannot be simplified any further.

Find the missing angle measure of the triangle.

Answers

Answer:

58

Step-by-step explanation:

65 + 57 = 122

A triangle is 180 degrees

180 - 122 = 58

58  is the missing measurement

Use the constant term and leading coefficient to list all the potential roots of the expression
524 +223 + 32² - 7

Answers

Step-by-step explanation:

ok first you do that 524+223+322_7 1060 that's the problem ok

What is the center and radius for the circle with equation 2x2 - 8x + 2y2 +12y + 14 = 0?
A A
(2,-3); r = 6
B
00
(293); r = 16
(-2,3); r = 6
0
D
(-2,3); r = 16

Answers

Answer:

[tex](2,\, -3)[/tex].

[tex]r = \sqrt{6}[/tex].

Step-by-step explanation:

Let [tex](a,\, b)[/tex] denote the center of this circle. Let [tex]r[/tex] ([tex]r > 0[/tex]) denote the radius of this circle. The equation of this circle would be:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex].

Expand to obtain an equivalent equation:

[tex]x^{2} + (- 2\, a) + y^{2} + (- 2\, b) + (a^{2} + b^{2} - r^{2}) = 0[/tex].

Since this equation and the given equation describe the same circle, their corresponding coefficients should match.

Notice that the coefficients of [tex]x^{2}[/tex] and [tex]y^{2}[/tex] in this equation are both [tex]1[/tex]. However, the corresponding coefficients in the given equation are both [tex]2[/tex]. Thus, divide both sides of the given equation by [tex]2\![/tex] to match the coefficients of the [tex]x^{2}[/tex] and [tex]y^{2}[/tex] terms:

[tex]x^{2} + (- 4\, x) + y^{2} + 6\, y + 7 = 0[/tex].

Coefficients of [tex]x^{2}[/tex] and [tex]y^{2}[/tex] are now matched after the division.Coefficients of [tex]x[/tex] should match: [tex](-4) = (-2\, a)[/tex], such that [tex]a = 2[/tex].Coefficients of [tex]y[/tex] should match: [tex]6 = (-2\, b)[/tex], such that [tex]b = (-3)[/tex].

The constants should also match. Thus:

[tex]a^{2} + b^{2} - r^{2} = 7[/tex].

Substitute in [tex]a = 2[/tex] and [tex]b = (-3)[/tex]; given that [tex]r > 0[/tex], the value of [tex]r[/tex] would be:

[tex]r = \sqrt{2^{2} + 3^{2} - 7} = \sqrt{6}[/tex].


Diane, Henry, and Abdul have a total of $82 in their wallets. Diane has $8 less than Henry. Abdul has 3 times what Henry has. How much does each

Answers

Answer:

let's suppose

Diane: D= H – 8

Henry: H

Abdul: A = 3H

D+H+A=82

D=10

H=18

A=54

select the correct form for 562,932 I want the correct form​

Answers

Answer: five hundred sixty-two thousand nine hundred thirty-two

Step-by-step explanation: Student instructed to give the word form of a given value.

Answer:

The correct word form is:

Five hundred sixty-two thousand nine hundred thirty-two.

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 210 miles in 7 hours, how many
miles does it travel in 4 hours?

Answers

Answer:

120 miles.

Step-by-step explanation:

Use long division to find how many miles the car travels in 1 hour then we multiply by 4

: (7÷210=30)×4=120miles. Hope this helped ;D

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