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
===================================================
Explanation:
The drawing is shown below.
Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CEThe 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 DENotice 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.
Related Questions
Gracy was running errands around her neighborhood. First she went to the doctors but they were closed. She then drove to her house stopping to grab her library books. She went to the library to drop them off then headed to the grocery story passing her house on the way.
In total, how far would Gracy have traveled once she returned home from the grocery store?
9miles
3 miles
18 miles
6 miles
Answers
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 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.
Which list is in order from least to greatest?
Answers
Answer:
6/10 , 5/8 , 2/3
Step-by-step explanation:
The 3rd one
6/10 , 5/8 , 2/3
if you simplify them into fraction it will be :
0.6 , 0.625 , 0.666
Simply the Expression.
Answers
x
10
There’s something wrong with the question re check it
Please answer this, The question is below............................................................................. .........
Answers
Answer:
Area of a parallelogram = Base times Height
Step-by-step explanation:
For this parallelogram, the value for Height is 5cm. So Area = Base x 5. If you are given the value for base then just multiply that by 5 and you get the area. Hope this helps :)
A sticker costs 25 cents. How many dollars is that?
Answers
Answer:
Boy.... Its one forth a dollar.
Step-by-step explanation:
1/4
What is the expression after applying the distributive property? −12(−2+(−3))
Answers
Answer:
60
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:)
What is the value of the expression below?
(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4
Answers
Answer:
2.5
Step-by-step explanation:
(8+1/8) = 8.125
(2.5+3/4) = 2.5 + 0.75 = 3.25
8.125 / 3.25 = 2.5
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❤️!
Find the volume of a cylinder whose radius is 2 cm and whose height is 6 cm (use ╥=3.14 and give the answer to the nearest hundredth).
Answers
V = πr²h
V = 3.14 · 2² · 6
V = 3.14 · 24
V = 75.36
Hope this helps!
Answer: 75.36
Step-by-step explanation:
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.
pls help me solve this
Answers
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
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.
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°
what's 9 plus 10 and not 21
Answers
Answer:
19
Step-by-step explanation:
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
PLEASE HELP ILL DO THE SAME PLEASE AND I NEED STEP BY STEP IM TRYING TO LEARN :(
Answers
Answer:
5)
Line 1: [tex]y=-x+3[/tex]
Line 2: [tex]y=3x-3[/tex]
6)
Line 1: [tex]y=\frac{1}{2}x-2[/tex]
Line 2: [tex]y=-\frac{5}{2}x+6[/tex]
7)
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.
5)
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.
6)
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]
7)
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.
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
Help?please rnnnn………
Answers
Answer:
8,176
Step-by-step explanation:
You have to first do 8 × 5110 = 40,880
Then you divide 40,880 by 5
40,800 ÷ 5 = 8,176
7/14 in its simplist form
Answers
1/2
Step by step explanation:
Answer:
1/2
Step-by-step explanation:
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.
a.
x = 0, y = 10
y = 0, x = 5 because
0 = 10 - 2x
2x = 10
x = 5
b.
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
d.
x = 0, y = -4/12 = -1/3 because
0 = 4 + 12y
y = 0, x = 4/2 = 2 because
2x = 4
x = 2
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:
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 vertex angle of isosceles triangle is 110. what are the measures of the base angles
Answers
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:
Ed and Sally are taking a tour of Paris. There are 333 different types of tours (walking tour, bike tour, and trolley tour) and 222 different times each tour is offered (morning and evening). They each created a display to represent the sample space of randomly picking a type of tour and a time.
Whose display correctly represents the sample space?
Answers
Answer: the answer is sally only
Help help help help math math
Answers
Answer:
A = 192
Step-by-step explanation:
3 x 8^2
3 x 64 = 192
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