Two parallel chord of length 30 and 16 cm are drawn on the oppoite ide of the centre of the circle of radiu 17 cm. Find the ditance between the chord

Answers

Answer 1

the distance between the chord is 23 cm

It is given that AB = 30cm and CD = 16cm

Join the lines OA and OC

We know that AO = 17cm and CO = 17cm

Construct OM ⊥ CD and OL ⊥ AB

The perpendicular from the centre of a circle to a chord bisects the chord

We know that

AL = ½ × AB

By substituting the values

AL = ½ × 30

So we get

AL = 15cm

We know that

CM = ½ × CD

By substituting the values

CM = ½ × 16

So we get

CM = 8cm

Consider △ ALO

Using the Pythagoras theorem it can be written as

AO^2 = OL^2 + AL^2

By substituting the values

17^2 = OL^2 + 15^2

So we get

OL^2 = 17^2 - 15^2

On further calculation

OL^2 = 289 – 225

By subtraction

OL^2 = 64

By taking the square root

OL = √64

OL = 8cm

Consider △ CMO

Using the Pythagoras theorem it can be written as

CO^2 = CM^2 + OM^2

By substituting the values

17^2 = 82 + OM^2

So we get

OM^2 = 17^2 - 8^2

On further calculation

OM^2 = 289 – 64

By subtraction

OM^2 = 225

By taking the square root

OM = √225

OM = 15cm

So the distance between the chords = OM + OL

By substituting the values

Distance between the chords = 8 + 15 = 23cm

Therefore, the distance between the chords is 23 cm.

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Two Parallel Chord Of Length 30 And 16 Cm Are Drawn On The Oppoite Ide Of The Centre Of The Circle Of

Related Questions

Lines m and n are parallel.


What is the measure of ∠1?

A: 65

B: Not here

C: 4

D: 58

Answers

Answer:

c

Step-by-step explanation:

Use a net to find the surface area of the cone to the nearest
square centimeter. Use 3.14 for it.
23 cm
(The figure is not drawn to scale.)
The surface area of the cone is about cm2.
(Round to the nearest whole number as needed.)

Answers

Answer:

[tex]V=497.16\ cm^3[/tex]

Step-by-step explanation:

The attached figure shows a cone of radius 5 cm and height 19 cm. The formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substitute all the values,

[tex]V=\dfrac{1}{3}\times 3.14\times 5^2\times 19\\\\V=497.16\ cm^3[/tex]

So, the volume of the cone is equal to [tex]497.16\ cm^3[/tex].

someone help me with math homework

Answers

I hope this helps you

8/4=8/4=18/9=2

Side - Side - Side

Answer:

SSS~

Explanation:

All corresponding sides have the same ratio

1) What is the value of the expression 3 4 + 15.45 - 19.75 + 7.87?

Answers

Answer:

37.57

Step-by-step explanation:

34 + 15.45 - 19.75 + 7.87

34 + 15.45 = 49.45

49.45 - 19.75 + 7.87

49.45 + 7.87 = 57.32

57.32 - 19.75 = 37.57

Sam is learning the ancient art of kite making. He has determined that his first kite will have diagonals of 24 inches and 25 inches. Determine the area of the kite.
75 in2
150 in2
300 in2
600 in

Answers

Answer: d

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

A cereal box is being designed that needs to have dimension ratios of 1:1.5:4.2 and needs to have a volume of 14.49 cubic inches. What is the box's smallest dimension?

Answers

Answer:

2.2 inches

Step-by-step explanation:

smallest dimension = (smallest ratio / total ratio) x volume

(smallest ratio = 1

total ratio = 1 + 1.5 + 4.2 = 6.7

(1/6.7) x 14.49 = 2.2 inches

Emilia wants to visit her family in Mexico. The exchange rate is 15 Mexican Pesos for every US Dollar How much money in US currency does she need to bring with her if she wants to have an allowance of 3,525 Mexican Pesos during her short visit?​

Answers

Answer:

use cymath.

Step-by-step explanation:

Answer:

$235

Step-by-step explanation:

3525/15 is the exchange rate which equals $235

What is the solution to the equation: 3x + 5 = 3x − 5

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

the answer is no solution

Step-by-step explanation:

find the circumference, rounding your answer to 1d.p.​

Answers

Answer:

Can't see the attached image

Step-by-step explanation:

Post another question and make sure it has the image on it :)

Danielle ran the first
Of a 6-mile race. How many miles did she run?

Answers

Answer:

1 1/5 miles or 1/2 miles

Step-by-step explanation:

1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles

CAN SOMEONE HELP ME PLS TELL ME THE LETTER ANSWER CHOICE!!!!!!!!!!!!!!!!!!!1;))))))))))))))))))))))

Answers

Answer:

C

Step-by-step explanation:

27÷12=2.25

Each gallon costed 2.25$

Let angle A=17^ , angle C=110^ and a = 5

Answers

That guy above me is correct

PLEASE HELP ME!!!!!!!

Answers

Answer:

I think 26 for the quadrilateral on the 2nd page

Step-by-step explanation:

8 + 4 + 4+ 10

8 is on the top and 4 is on both sides just the right is angled differently and the bottom i think 10...IM SORRY IF YOU GET T WRONG I TRIED MY BEST!!!!!!

.................................................6y=8x

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Two paths each 2m wide run across the middle of a rectangular field. If the area of the cross path is 196m and its length is 60m, find its breadth​

Answers

Answer:

d=2m

Area(A)=196m

l=60m

Now,

A=d(l+b-d)

196=2(60+b-2)

196=2(58+b)

196=116+2b

2b=196-116

2b=80

b=40m

In a class of 25 students , 12 have taken in mathematics , 8 have taken mathematics but not biology . Find
i. the number of student who have taken mathematics and biology
ii. find those who have taken biology but not mathematics . Solve by making venn diagram​

Answers

Answer:

I.4

ii.13

Step-by-step explanation:

....ur welcome........

HELPPP ASAP!! 10TH GRADE GEO

Answers

Answer:

[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]

[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]

Step-by-step explanation:

In the given circle, [tex] \overline{EG} [/tex] is diameter and [tex] \overline{EH} [/tex] is tangent at point E.

[tex]\therefore \widehat {EFG} [/tex] is a semicircular arc.

Since, measure of semicircular arc is 180°

[tex]\therefore m(\widehat {EFG})=180\degree... (1)[/tex]

[tex]\because m( \widehat {EF}) +m(\widehat {FG}) = m(\widehat {EFG}) [/tex] .... (2)

From equations (1) & (2)

[tex]\therefore 134\degree +m(\widehat {FG}) = 180\degree[/tex]

[tex]\therefore m(\widehat {FG}) = 180\degree-134\degree [/tex]

[tex]\therefore m(\widehat {FG}) = 46\degree [/tex]

By inscribed angle theorem:

[tex] m\angle FEG =\frac{1}{2} m(\widehat {FG} ) [/tex]

[tex] m\angle FEG =\frac{1}{2} \times 46\degree [/tex]

[tex]\huge\purple {\boxed {m\angle FEG =23\degree}} [/tex]

By tangent secant theorem:

[tex] m\angle FEH=\frac{1}{2} (46\degree +180\degree) [/tex]

[tex] m\angle FEH=\frac{1}{2} (226\degree) [/tex]

[tex] \huge \orange {\boxed {m\angle FEH=113\degree}} [/tex]

Tell whether the angles are complementary, supplementary, or neither.

Answers

Answer: b is your answer hope this helped

Step-by-step explanation:

pleas make brainly

Anybody help me please

Answers

Answer:

Rotation 180° counterclockwise about the origin

Answer:

The second one, I think.

there are 25 Note books and 20 pens on a table. find the ratio of

i) Number of pens to number of note books

ii) number of Note books to the total number of objects on the table

by objects I mean Note books and pens​

Answers

Answer:

i] 4:5

ii] 5:9

Step-by-step explanation:

i] no. of pens/ no. of notebooks

20/25

4/5

= 4:5

ii] no. of notebooks/ total no. of pens and notebooks

25/ 20+25

25/ 45

5/ 9

5:9

-1 /-26 simplified

Answers

Answer:

0.038

Step-by-step explanation:

I really hope this helps I'm sorry if its wrong

Brainliest please if its right.

The answer is 0.038
Hope this helps!!

Definition of Accreditation

Answers

official approval given by an organisation when something / somebody achieves a certain standard

hope it helps you ✌

find the range of the function f(x)=
[tex] \frac{ {x}^{2} + 3x + 5 }{2x - 1} [/tex]


Answers

photo math is very helpful with those type of problems

Rewrite the numerator as

x ² + 3x + 5 = (x - 1/2)² + 4 (x - 1/2) + 27/4

Then

(x ² + 3x + 5) / (2x - 1) = 1/2 × (x ² + 3x + 5) / (x - 1/2)

… = 1/2 × ((x - 1/2)² + 4 (x - 1/2) + 27/4) / (x - 1/2)

… = 1/2 × ((x - 1/2) + 4 + 27 / (4 (x - 1/2)))

… = 1/2 x + 7/4 + 27 / (8 (x - 1/2))

which clearly has a non-removable singularity at x = 1/2, which is to say this function has a domain including including all real numbers except 1/2.

For every number other than x = 1/2, the function takes on every possible real numbers, since 1/2 x + 7/4 alone takes on all real numbers.

So:

domain = {x ∈ ℝ | x ≠ 1/2}

range = {x ∈ ℝ}

I really need help! On either one!!

Answers

Answer:

512 cm3252 cm2

Step-by-step explanation:

The first dimension to measure is length. Length is always the longest side of the box that has a flap. The next dimension is width. The width side also has a flap but is always the side shorter than the length. Measure the height of the package. Height is the only dimension without a flap.Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Perimeter of the rectangle = PQ + QR + RS + SP

                                      = b +l + b + l

                                      = 2b +2l

Again,  

ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.

Perimeter of a Rectangle

AB = CD = 5 cm and BC = AD = 3 cm

So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm

It can be written as 5 cm + 5 cm + 3 cm + 3 cm

                       = (2 × 5) cm + (2 × 3) cm

                       = 2 (5 + 3) cm

                       = 2 × 8 cm

                       = 16 cm

We add length and breadth twice to find the perimeter of a rectangle.

Determine whether 0 is a solution of the inequality.
x = 6
O Yes
ΟNo

Answers

Answer:

In my opinion No

Step-by-step explanation:

You are only given "X" SO what is "Y"?

3(x-5)=9 i don't know what to do

Answers

Answer:

x=8

Step-by-step explanation:

3(x-5)=9

3x-15=9

3x-15+15=9+15

3x=24

x=8

Answer:

x=8

Step-by-step explanation:

3(x-5) = 9

(3(x-5))/3 = 9/3

x-5 = 3

x-5+5 = 3+5

x=8

An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder? PLEASE HELP ME!!!! ITS THE TEST FROM PERFORMANCE MATTERS

Answers

Answer: 24 inches

Step-by-step explanation:

Let the radius be represented by x

Therefore, the height will be = 2×x = 2x

Volume of a cylinder = πr²h

where, Volume = 3500

π = 3.14

r = x

h = 2x

We then slot in the values into the formula

Volume = πr²h

3500 = 3.14 × x² × 2x

3500 = 3.14 × 2x²

2x² = 3500 / 3.14

2x² = 1114.65

Divide through by 2

x² = 1114.65 / 2

x² = 557

x = ✓557

x = 23.6 = 24 approximately

The radius is 24 inches

Your a god if you answer this right!!!! BRAINLIEST

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Rise: 3

Run: 1

Y-Intercept: 7

Can you please help me I need the answer please

Answers

Answer:

b

Step-by-step explanation:

you have to rotate it 180 degrees clockwise to find the transition.

p + -35 = 25 what would be p

Answers

Answer: p=60

Step-by-step explanation: Hope this help :D

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