Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which touches the smaller circle is​

Answers

Answer 1

Answer:

12 cm

Step-by-step explanation:

Let O be the centre of the circle of radii 10 cm and 8 cm.

In given figure,

AP = PB and OP⊥AB

Applying Pythagoras theorem in ∆OPA, we get

↠ OA² = OP² + AP²

↠ (10)² = (8)² + AP²

↠ 100 = 64 + AP²

↠ 100 - 64 = AP²

↠ 36 = AP²

↠ √36 = AP

6 = AP

Now,

↠ AB = 2AP

↠ AB = 2(6)

↠ AB = 12 cm

Hence,

The length of the chord of the larger circle 12 cm
Two Concentric Circles Are Of Radii 10 Cm And 8 Cm, Then The Length Of The Chord Of The Larger Circle

Related Questions

Factorise 9x2+49y2-42xy-30xz+70yz​

Answers

the equation can not be factored ^

What is the value of the expression? Show your work.

Answers

[tex]\dfrac{7^{12} \cdot 7^9}{\left(7^6 \right)^3}\\\\\\=\dfrac{7^{12+9}}{7^{18}}\\\\\\=\dfrac{7^{21}}{7^{18}}\\\\\\=7^{21-18}\\\\\\=7^3\\\\\\=343[/tex]

Answer:

342.9385905398

I’m too lazy to put in any more so ya

Step-by-step explanation:

We solve the top first.

7^12 x 7^9

13,841,287,201 x 40,353,607

558,545,864,083,284,007


The bottom is (7^6)^3

(7^6)^3

(7^18)

1,628,413,597,910,449

558,445,864,083,284,007 divided by 1,628,413,597,910,449

342.9385905398

I’m too lazy to put in any more so ya

Find the probability of rolling a 6 -sided dice and getting a number that is a divisor of 20. ​

Answers

Answer:  2/3

Explanation:

On the die, the divisors or factors of 20 are: 1, 2, 4, 5

We have 4 faces we want out of 6 faces total

So 4/6 = 2/3 is the probability of getting a divisor of 20.

Given the objective Function: Revenue = 75x+85y and the critical points: (0,0) (180,120) (300,0)

Answers

Answer

(180,120)

Cannot be determined

Step-by-step explanation:

Fax

The critical point with the maximum revenue is at (180,120)

How to determine the critical point with the maximum revenue?

The objective function is given as:

Revenue = 75x+85y

The critical points are (0,0) (180,120) (300,0)

Substitute these points in the objective function.

Revenue = 75(0)+ 85(0) = 0

Revenue = 75(180)+ 85(120) = 23700

Revenue = 75(300)+ 85(0) = 22500

The maximum revenue is 23700.

Hence, the maximum revenue is at point (180,120)

Read more about objective function at:

https://brainly.com/question/16826001

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

Answers

DIRECTIONS: Type your answer in the space provided. The slope must be in fraction form.
What is the equation of the line parallel to the given line through the point (14,0)?

-4x - 7y = 14

hard question help!!!!

Answers

Answer:

B

Step-by-step explanation:

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.

Answers

Answer:

the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle

Step-by-step explanation:

for the equation to be true we must first identify the shapes used.

the shapes used include  

regular hexagonregular pentagonsquareequilateral triangle

now that we know the shapes we must find out which shapes are shaded

regular hexagon (shaded)regular pentagon (not shaded)square (shaded)equilateral triangle (not shaded)

now we know which shapes are shaded we can now form the equation to find the area

i will turn the shapes into varibles so its easier on my brain and yours

area of the regular hexagon= harea of the regular pentagon= parea of the square= sarea of the equilateral triangle= tshaded area= A

we can know use the info gathered earlier to create the equation

shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)

or in other words with the variables

A=( h-p )+( s-t )

if your still not convinced see the attached image

||

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The measures of two supplementary angles have a ratio of 4:5. What is the measure of the larger angle?

The measure of the larger angle is ____

Answers

Answer:

100 DEGREES

Step-by-step explanation:

Supplementary means they add to 180 degrees

4x + 5x = 180

x = 20

smaller angle  4 (20) = 80

 learger angle 5 (200 = 100

The diameter of a semicircle is 30 miles. What is the semicircles radius ?

Answers

Answer:

D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle

Select the expression that is equal to 12(6+x)



31x


84x


18+12x


72+12x


18+13x


I don't know

Answers

Answer:

72 + 12x

Step-by-step explanation:

Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)

Here, a = 12 ; b = 6 & c = x

12( 6 + x) = 12*6 + 12*x

               = 72 + 12x

A squared garden has am area of 81 squared meters what is the permiter of this garden

Answers

Answer:

9 meters

Step-by-step explanation:

just find the square root of 81 and it gives you the number 9

HELP!!! ASAP!!!

construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice

Answers

1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry

max measured the wading pool at the Arcadia Community Center and calculated that it has a circumference of 23.864 feet. what is the pools diameter

Answers

The equation for the circumference of a circle is C = πd where d is the diameter.
If we rearrange this to make d the subject we get d = C/π which is 23.864/π because our circumference is 23.864 feet.
If you calculate this you will get roughly 7.6 feet.
Some people prefer the answer to be in metres so if that’s the case then 7.6 feet ≈ 2.31 metres.

Hope this helps

Marco travels from his house to the beach. The total distance he travels
is 120 miles. In the first hour, Marco traveled 54 miles. What percent of
the distance did he travel the first hour?

Answers

Answer:

45%

Step-by-step explanation:

Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage

6. Hadila is 2 years younger than Kai Yee. Kai Yee's father's age is the square of Hadila's age. If Kai Yee is p years old, calculate the total age of the three of them. Express your answer in the form of algebraic expression.​

Answers

ANSWER: p^2 - 2p + 2

Step-by-step explanation:

Total age of three = p + p-2 + (p-2)^2

= 2p-2 + p^2-4p+4

= p^2 - 2p + 2

math sceenshot answer the sceenshot

Answers

Answer:

H(d) = 0.3d + 12

Step-by-step explanation:

It started at 12 inches.

Then it grew 0.3 inches per day.

Let d = number of days.

The growth is 0.3 d.

Add the growth to the original length, to get 0.3d + 12.

Answer: H(d) = 0.3d + 12

Help me please this is due tomorrow and I do not understand the assignment

Answers

Answer:

4 and 5 not functions 6 function

Step-by-step explanation:

In a function, each x value can only have one y value. To test this, you can try the vertical line test. Put a vertical line on the function; if it touches only one point the graph is a function. For graph 4, the x value of 3 has y values of 1 and 4 so it is not a function. For graph 5, the x values of 1 and 5 have many y values so the graph isn't a function. For graph 6, each x value has only one y value so it is a function.

Answer:

4. Not a function

5. Not a function

6. Function

Step-by-step explanation:

1 -3 (correct!)

Functions do NOT have repeating x-values. Hence why you were able to determine if # 1-3 are fuctions or not.

4. Not a fuction:

(1, 2)

(2, 3)

(3, 1)

(3, 4)

As we can see, both points have the same x-values. Therefore, not a function.

5. Using our knowledge about functions, we can quickly tell that this graph is NOT a fuction.

There are many points that fall under the same x-value.

6. Function:

(1, 2)

(2, 2)

(3, 3)

(4, 4)

No repeating x-values. Therefore, a function.

Hope this helps!

find the area of a circke with a radius of 9 mm. round to the nearest tenth. use 3.15 or 22/7 for Pi.​

Answers

Answer:

254.3 mm^2

Step-by-step explanation:

Area of a circle: A = π*r^2

π (pi) = 3.14

r (radius) = 9 mm

Substitute 3.14 for pi and 9 for radius:

A = π*r^2

A = 3.14*9^2

A = 3.14*81

A = 254.34 mm^2

Round to the nearest tenth:

254.34 ==> 254.3

Therefore, our final answer is 254.3 mm^2

Hope this helps!

The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a

Answers

The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

The derivation of quadratic formula.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is given by this equation:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

The sixth step in the derivation is:

[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]

The seventh step in the derivation is:

We would take the square of both sides to have;

[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The eigth step in the derivation is:

We would substract b/2a from both sides to have;

[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]

The ninth step in the derivation is:

We would find the lowest common multiple (LCM) to have;

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

Read more on quadratic equation here: brainly.com/question/1214333

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The entire rectangle below has an area of 36 ft2. Find the area of the shaded triangle. Be sure to include the correct unit in your answer.

Answers

You would have to show the whole triangle and the shaded parts to get the correct answer

help me with this question, please

Answers

I think that's it, Hope this helps!!!!!!

Answer:

x = -2

Step-by-step explanation:

4x + 5y = 7
4x + 5 (3x + 9) = 7
4x + 15x + 45 = 7
19x + 45 = 7
19x = -38
x = -2

Find the surface area of the prism.
9 m
5 m. 12m

Answers

Answer:

the surface area of the prism is equal to 202 m^2

Step-by-step explanation:

The surface area of the prism is equal to

SA=2B+Ph

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the area of the base B

B=LW=4*5=20m^2

Find the perimeter of the base P

P = 2(L+W) = 2 (4+5) = 18 m

Find the surface area ----> 

SA = 2B + Ph = 2(20) + 18(9) = 202 m^2

btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)

Classify each of the following angles as acute, obtuse, right,straight, or reflex.

Answers

Answer:

1. Acute, because it is less than 90 degrees or less than a right angle.

2. that is obtuse because it is bigger than 90 degrees

3. acute, because it is less than 90 degrees.

Answer:

1. Acute 2. Obtuse 3. Acute

Step-by-step explanation:

1 and 3's angles are smaller than 90 degrees. 2 is obtuse because its angle is larger than 90 degrees.

What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16

Answers

Answer:

16

Step-by-step explanation:

2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.

What is the vertex and axis of symmetry?

Answers

Vertex is -1
Axis of symmetry is -1
(Tip the axis of symmetry and vertex will always be the same)

Check the picture below.

now, the Range and Domain are both assuming the lines goes no further, keeping in mind that most lines go to infinity.

the x-intercepts are just where the graph intersects or touches the x-axis.

the y-intercepts are just where the graph intersects or touches the y-axis.

vertex is simply where it makes the U-turn, and axis of symmetry is simply most of the time the x-coordinate of the vertex, of namely the line where the graph begins making a mirror image.

A rectangle with length of 4/9 foot and a width of 2 feet

Answers

Answer:

area of rect = 8/9

Step-by-step explanation:

Area of rect.= (L*W)

Area = (4/9) (2)

Area = (4/9) (2/1)

Area = 8/9

Answer:

8/9 feet

Step-by-step explanation:

Area=l*w

4/9ft*2ft

4/9*2/1=8/9ft

Find f(2) if f(x) = (-2x)^2 / (7x-4)

Answers

Answer:

4/3

Step-by-step explanation:

f(2) = (-2*2)^2 / (7(2))-4)

f(2) = (-4)^2 / 14-4

f(2) = 16 / 12

f(2) = 4 / 3

what value of x is in the solution set of 8x-6>12+2x

Answers

Answer:

3

Step-by-step explanation:

8x-6>12+2x

-2x            -2x

_______________

6x-6 >12

   +6    +6

____________

6x > 18

/6      /6

____________

x > 3  

Hope this helps :)

The solution to the inequality  8x - 6 > 12 + 2x is, 3.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 8x - 6 > 12 + 2x.

Separating the variable and constants to the other sides we have,

8x - 2x > 12 + 6.

6x > 18.

x > 3.

learn more about inequalities here :

https://brainly.com/question/30231190

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(x-5)^2+2=11 solve by using square roots.

Answers

Answer:  x = 2 or x = 8

Work Shown:

[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]

Find the midpoint between point A and point B:

A: (-3, 10)

B: (7, -4)

options:

(-5, 3)


(2, 3)


(2, 7)


(-5, 7)

Answers

Answer:

2,3

Step-by-step explanation:

Answer: (2,3)

Step-by-step explanation:

add the two x’s and divide them then do the same with your y’s.

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