Mathematics High School

The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle

Answers

Answer 1

Answer: 16 cm

===================================================

Explanation:

The drawing is shown below.

Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CE

The goal is to find the length of CE based on these facts

BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DE

Notice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.

Focus on triangle CAD. We'll use the pythagorean theorem to find x.

a^2 + b^2 = c^2

(AD)^2 + (DC)^2 = (AC)^2

15^2 + x^2 = 17^2

225 + x^2 = 289

x^2 = 289 - 225

x^2 = 64

x = sqrt(64)

x = 8

Segment CD is 8 cm long, and so is segment DE.

To wrap things up, we then say:

CE = CD + DE

CE = 8 + 8

CE = 16

Chord CE is 16 cm long.

The Diameter Of The Circle Is 34cm And A Chord Is At A Distance Of 15cm From The Centre. Find The Length

Related Questions

PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(

Answers

Answer:

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

See below

Step-by-step explanation:

To write the system of equations on the graph, you just need to write the 2 equations of the 2 lines.

The first thing to do is find the slope of the lines. Pick one of them, and start by finding 2 points on that line that land perfectly on the grid.

It's pretty hard to read that top graph in the photo, but I think I see these ones marked:

Line 1: (0, 3) and (3, 0)

Line 2: (0, -3) and (2, 3)

Make sure I got them correct, because the equations will be wrong otherwise. Same for problem 6. To find the slope, divide the change in y by the change in x. Starting with line 1, y went from 3 to 0, so a change of -3. x went from 0 to 3, so a change of 3.

Divide the change in y by the change in x:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0-3}{3-0}\\\\m=\frac{-3}{3}\\\\m=-1[/tex]

The slope of line 1 is -1. That means every time x increases by 1, y decreases by 1. You can see that on the line.

Now for line 2:

[tex]m=\frac{3--3}{2-0}\\\\m=\frac{6}{2}\\\\m=3[/tex]

When x increases by 1, y increases by 3.

The last thing to do is find the y-intercept of both lines. That's just where the line intersects the y-axis, at x = 0, and it's clearly visible on the graph so there isn't much to do.

Line 1: 3

Line 2: -3

Now, you can write the equations for these lines in slope intercept form:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept we found above.

Line 1: [tex]y=-x+3[/tex]

Line 2: [tex]y=3x-3[/tex]

In line 1, -1x can be simplified to just -x.

I'll do the exact same process here, but with less explaining. Let me know if you have any questions.

Find 2 points:

Line 1: (0, -2) and (4, 0)

Line 2: (0, 6) and (4, -4)

Find the slope of line 1:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{0--2}{4-0}\\\\m=\frac{1}{2}[/tex]

and line 2:

[tex]m=\frac{-4-6}{4-0}\\\\m=\frac{-10}{4}\\\\m=-\frac{5}{2}[/tex]

Now, the y-intercepts:

Line 1: -2

Line 2: 6

Write the equations:

Line 1: [tex]y=\frac{1}{2}x-2[/tex]

Line 2: [tex]y=-\frac{5}{2}x+6[/tex]

A system with 1 solution means 2 lines that intersect at 1 point. Problems 5 and 6 are both examples of this. A system with no solution means lines that never intersect, meaning that they have the same slope, they're parallel.

Example:

[tex]y=2x+1\\y=2x+2[/tex]

Those both have a slope of 2, and if you graph them, you'll see that they never intersect.

A system with infinitely many solutions means they intersect at every possible point. These would just be the same line.

Example:

[tex]y=2x+1\\y=2x+1[/tex]

That's what they are, graph them however you like.

The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
a.6m
b.8m
c.9m
d.4m

Answers

ANSWER:

9m is the answer

i’m struggling with this question. can you please help me?

Answers

Answer:

50°

Step-by-step explanation:

∠ RST = (arc QC - arc RT) / 2

= (150° - 50°) / 2

= 50°

Sally bought two shirts that cost $6.99 each. The sales tax rate was 7%. What was the total amount Sally paid?Question 3 options:$0.98$7.48$14.05$14.96

Answers

Answer: $14.96

Step-by-step explanation:

13.98 + .98 = 14.96

The total amount paid by Sally is $ 14.96

What is Sales Tax?

The Sales tax is calculated by the equation

Sales tax rate = Sales tax percent / 100

Sales tax = List price x Sales tax rate

Given data ,

List price of the shirt Sally bought = $ 6.99

Number of shirts Sally bought = 2 shirts

Total price of 2 shirts = 2 x 6.99

= $ 13.98

So , List price = $ 13.98

Sales tax rate = 7 %

Total amount paid by Sally = List price + Sales tax

Now , Sales tax is calculated by

Sales tax = List price x Sales tax rate

= 13.98 x 0.07

= 0.9786

Therefore , total amount paid by Sally = List price + Sales tax

= 13.98 + 0.9786

= $ 14.9586

≈ $ 14.96

Hence , the total amount paid by Sally is $ 14.96

To learn more about Sales tax click :

https://brainly.com/question/27092799

#SPJ5

A firm employs many clerical workers making near minimum wage salaries and a few executives making much higher
salaries, a report from this firm says in one place that a typical annual salary of an eemployee is $25,000 and in another
place that a typical salary is $30,000. Assuming one of these values is the mean annual salary and the other is the median
annual salary, which is which?.

Answers

Answer:

30000 is mean, 25000 is median

Step-by-step explanation:

Just a logical explanation

if you have a lot of people making 25000, then chance are you'll find that value in the middle, in assuming that the executives make a lot more

and with executives making a lot more, the mean is 30000

sources: Compare the mean and median of a data set that has a distribution that is skewed right. Answer: The mean will have a higher value than the median

Marking brainliest

What do you thinks this means and why does it matter

Answers

Answer:

You didnt put anything for me to see lol

Step-by-step explanation:

What is the expression after applying the distributive property? −12(−2+(−3))

Answers

Answer:

Step-by-step explanation:

-5.-12=60

Hey there!

-12(-2 + (-3))

= -12(-2 - 3)

DISTRIBUTE -12 within THE PARENTHESES

= -12(-2) - 12(-3)

= 24 + 36

= 60

Therefore, your answer is: 60

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

pls help me solve this

Answers

Volume = Area of triangle x length

Area of triangle = 1/2 x base x height

Area of triangle = 1/2 x 5 x 4

Area of triangle = 10

Volume = area of triangle x length

Volume = 10 x 12

Volume = 120 cm^3

Simply the Expression.

Answers

32768
x
10
There’s something wrong with the question re check it

Find the x and y intercepts of each equation

Answers

Step-by-step explanation:

the y-intercept is the y value when x = 0.

the x-intercept is the x Banjul when y = 0.

now we only need to put the corresponding 0-value into the equations and calculate the other value.

x = 0, y = 10

y = 0, x = 5 because

0 = 10 - 2x

2x = 10

x = 5

x = 0, y = 2 because

9y = 18

y = 0, x = 18/4 = 9/2 because

4x = 18

c..

x = 0, y = -22 because

-2y = 44

y = 0, x = 44/6 = 22/3 because

6x = 44

3x = 22

x = 0, y = -4/12 = -1/3 because

0 = 4 + 12y

y = 0, x = 4/2 = 2 because

2x = 4

x = 2

Help help help help math math

Step-by-step explanation:

A football team caught the ball in 60% of the
plays during a game. Based on this information, if
the team caught the ball in 15 plays, how many
total plays did the team have?

Answers

Answer: 25 Plays Total.

60% of 25 is 15

10% of 25 = 2.5

2.5x6=15

Hope This Helps.

The Finish Line paid Converse $24 for a new pair of basketball shoes. If the store sells the shoes for $48, what is the percent mark-up (increase)?

Answers

Answer:

Answer:Total revenue at breakeven is $1,508,042 Explanation:Breakeven point in units = Fixed cost / Selling price -Variable cost per unit Breakeven, and now i think u get it u can do alone! Hope i help you❤️!

pls answer quickly

which of the following measurement is the smallest?

A) kilogram

B) Gram

C) centigram

D) milligram

Answers

Answer:

D, milligram.

Step-by-step explanation:

In latin prefixes, kilo- means 1000, cent- means 1/10, and milli- means 1/1000. This means milli- is the shortest and therefore milligrams are the smallest measurement.

Answer:

Milligram I think

Step-by-step explanation:

I could be wrong however

The equation `F=\frac{9}{5}C+32` relates temperature measured in degrees Celsius, `C`, to degrees Fahrenheit, `F`. Determine whether there is a proportional relationship between `C` and `F`. Explain or show your reas

Answers

Answer:

No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.

Step-by-step explanation:

The formula is

F=(9/5) C+ 32

F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.

In mathematics, a direct proportion has the form

y=mx

where m is a constant.

If the formula had been F=(9/5) C, it would have been a direct proportion.

However, the addition of the + 32 term makes the formula no longer a direct proportion

Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.

Answers

If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then

7 + t = P

1 + 3t = P

Solve for t :

7 + t = 1 + 3t

t - 3t = 1 - 7

-2t = -6

t = 3

So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.

Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
a. write two equations in x and y
b. solve your equations to find to values of x and y

please tell me the answer and explain how you got it thanks

Answers

Answer:

Below in bold.

Step-by-step explanation:

Use the elimination method:

a. x + y = 23

x - y = 7

b. Adding the 2 equations eliminates y, so we have

2x = 30

x = 15.

Substitute x = 15 in equation a:

15 + y = 23

y = 23 - 15

y = 8.

Answer x = 15, y = 6.

Step-by-step explanation:

this is what you are told in the problem

x+y=23............1 (the sum)

x-y=7.................2 (the difference)

PS make sure to number your equations

in equation 1 we can take x over so that we form a new equation labelled equation 3

y=23-x...........3

sub 3 into 2

x-(23-x)=7

x-23+x=7

2x=7+23

2x=30

x=15.........4

sub 4 into 1

15+y=23

y=23-15

y=8

Hey y’all please help me with this question.

Answers

Answer:

-g-8>9 answer

since g is -18 and we have (-)g we will have +18

+18-8+10

now we have 10 and it will be bigger the the 9.

Answer:

-g-8≥9

Step-by-step explanation:

Just ask!

Hope this helps.

the vertex angle of isosceles triangle is 110. what are the measures of the base angles

Answers

Two sides are equal in an isosceles triangle. This means that the angle both sides make with the third side must be the same. Since the angles in a triangle add up to 180°, you can subtract 110° from 180° and divide your answer by two. The resulting number will be the measure of each of the two unknown angles

a hiking trail at a state park is 8.4 miles long a park ranger wants to place signs at the beginning and end of the trail and along the trail so that the signs are 1.4 miles apart how many signs will the ranger need?

Answers

Answer:

the ranger will need 6 signs

Step-by-step explanation:

what's 9 plus 10 and not 21

Answers

Answer:

Step-by-step explanation:

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