Answers
Answer:
24 cm
Step-by-step explanation:
The altitude from the centre to the chord is 5 cm and bisects the chord.
The radius of the circle is 26 cm ÷ 2 = 13 cm
There is a right triangle formed with legs 5 and x ( x is half the chord )
The hypotenuse is the radius, then using Pythagoras' identity
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
Then
length of chord = 2x = 2 × 12 = 24 cm
Answer:
24 cmStep-by-step explanation:
The chord, if the ends connected with the center, form an isosceles triangle with two sides being a radius of the circle.
We have:
Length of chord = xHeight of triangle = h = 5 cmRadius = r = 26/2 = 13 cmFrom the triangle we get:
(x/2)² + h² = r²x²/4 + 5² = 13²x²/4 = 144x/2 = 12x = 24The length of the chord is 24 cm
Related Questions
Bob's Gift Shop sold 600 cards for Mother's Day. One salesman, Victoria, sold 10% of the cards sold for Mother's Day. How many cards did Victoria sell?
Answers
Answer:
60
Step-by-step explanation:
600*10%
Express the number 540 as a product of the powers of its prime factors.
Answers
Answer:
2 × 2 × 3 × 5 × 3 × 3 =540
Step-by-step explanation:
The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 3. Make a line plot of the data. What age occurs most often?
Answers
Answer:
The age which occurs most often is 45 with a frequency of 3
Step-by-step explanation:
Given the data :
33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38
Using the line graph plotter
Question 42 points)
Tell whether the triangles
are similar.
Yes or No
Answers
Answer:
yes
Step-by-step explanation:
Answer:
yes. 81+51+48 = 180
I hope this helps
Combine the like terms to create an equivalent expression 10k + 4k
Answers
Answer:
14k
They both have the same variable, so use the communitive property and there is your answer!
Plz help me I need this fast plz I beg u
Answers
Answer:
The answer is D. There were only 1/3 as many notebooks sold than binders.
identify the percent of change from 2/5 to 5/15 as an increase or decrease. Then find the percent of change.
Answers
Answer:
150% Increase
Step-by-step explanation:
Hopefully that is correct!
Brad expected that a jar will hold 252 grams of powder, but the label shows that it contains 240 grams of powder. Calculate the percent error
Answers
Answer:
4.76%
Step-by-step explanation:
A jar will hold 252 grams of powder
The label shows that its contains 240 grams
Therefore the percent error can be calculated as follows
= 240-252/252 × 100
= -12/252 × 100
= 0.0476 × 100
= 4.76%
Hence the percent error is 4.76%
Solve the inequality for y
Answers
Answer:
12
Step-by-step explanation:
[tex]6y \geqslant 72 \\ divide \: both \: side \: by \: 6 \\ y \geqslant \frac{72}{6} \\ y \geqslant 12[/tex]
Answer:
6y > 72
Inequality Form: y > 12
Interval Notation: (12,infinite loop)
I have answered have a good day.
Please help I am stuck on this problem
Which equation best describes a relationship between x and y in the table below?
A) Proportinol
B) Not Proportinol
Answers
Answer:
Try not proportional because Is not proportional
y = r + 1
4y = 40 + 4
Answers
Answer:
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
x
=
20
−
2
y
Answer:
r = 10
y = 11
Step-by-step explanation:
4y = 40 + 4
4(r + 1) = 40 + 4
4(r) + 4(1) = 40 + 4
4r + 4 = 40 + 4
4r + 4 = 44
4r + 4 - 4 = 44 - 4
4r = 40
4r ÷ 4 = 40 ÷ 4
r = 10
-----------------------------------------
y = r + 1
y = (10) + 1
y = 11
-----------------------------------------
4y = 40 + 4
4(11) = 40 + 4
4(11) = 44
44 = 44
R(-1,-3), S(4,4), T(8,-1)
PLZ HELP ME
Answers
9514 1404 393
Answer:
see attachments
Step-by-step explanation:
The side lengths are found using the distance formula.
d = √((x2-x1)^2 +(y2-y1)^2)
For example, the length of RS in the first triangle is ...
d = √((4-(-1))^2 +(4-(-3))^2) = √(25 +49) = √74 ≈ 8.602
This same computation is used for all of the sides of the triangles. When the same tedious computation is repeated over and over, I like to use a spreadsheet to do it. In the attached spreadsheet the two points used are the one on the same line as the distance, and the one on the line below. Side lengths are shown in the attachment to 3 decimal places.
__
In order to classify the triangle as acute, right, or obtuse, we can compare the side lengths to those of a right triangle. For the purposes of computation in a spreadsheet, it is convenient to compute the middle length side of a right triangle that has the same longest and shortest sides as the triangle we have.
If the computed side is longer than the actual middle side, then the triangle we have is obtuse. If it is shorter, the triangle we have is acute. If it is exactly the same, then the triangle we have is a right triangle.
In every case here, the computed middle side is shorter than the actual middle-length side, so all of the triangles are acute triangles. (The one of problem 39 is isosceles, since two sides are the same length. The others are scalene.)
__
The triangles are graphed in the second attachment.
problem 38: RST
problem 39: ABC
problem 40: DEF
Solve the inequality.
Answers
Answer:
B) n ≥ -20
Step-by-step explanation:
n/4 ≥ -5
n ≥ -20
Please only answer if you can help!!
Answers
Answer:
Shifted by 6 units left on the x-axis.
Step-by-step explanation:
Given function is,
f(x) = 5ˣ + 1
After transformation, this function becomes g(x) = [tex]5^{(x+6)}+1[/tex]
Here, g(x) = f(x + 6)
By the rule of transformation,
Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.
Can someone check this for me please
20=2x-5
Answer:12.5
Answers
Answer:
You are correct
Step-by-step explanation:
I hope this helps
An 80-foot rope is attached to a boat
7 feet above the water level as shown and a
boy jumps over the wake while
wakeboarding. What is the distance between
his hands and the water level?
80 ft
:[?] ft
Round to the nearest hundredth.
Enter
Answers
An 80-foot rope is attached to a boat
7 feet above the water level as shown and a
boy jumps over the wake while
wakeboarding. What is the distance between
his hands and the water level?
80 ft
:[?] ft
Round to the nearest hundredth.
enter
Answer:2.81 feet
What is the end behavior of the function f(x) = 2* + 5?
Answers
Answer:o understand the behaviour of a polynomial graphically all one one needs is the degree (order) and leading coefficient. This two components predict what polynomial does graphically as gets larger or smaller indefinitely. This called "end behavior". For example it easy to predict what a polynomial with even degree and +ve leading coefficient will do. All even polynomial have both ends of the graph moving in the same direction with direction dictated by the sign of leading coefficient. On the other hand odd power will get have the polynomial end points moving in opposite direction, with the leading coefficient dictating the direction.
Step-by-step explanation:To understand the behaviour of a polynomial graphically all one one needs is the degree (order) and leading coefficient. This two components predict what polynomial does graphically as gets larger or smaller indefinitely. This called "end behavior". For example it easy to predict what a polynomial with even degree and +ve leading coefficient will do. All even polynomial have both ends of the graph moving in the same direction with direction dictated by the sign of leading coefficient. On the other hand odd power will get have the polynomial end points moving in opposite direction, with the leading coefficient dictating the direction.
Step-by-step explanation:
The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
What is a name for the marked angle?
A: CAD
B: CDA
C: FAB
D: FDA
Answers
Answer:
A.) Angle CAD
Step-by-step explanation:
Hope this helps! :)
Is this right please help me
Answers
Answer:
there's nothing there you have to insert a file
Step-by-step explanation:
During hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many shots did he take?
Answers
Answer:
86 shots
Step-by-step explanation:
Find the surface area of the rectangular prism below.
Answers
Answer:
590 ft²
Step-by-step explanation:
11+5+11+5=32
32x15=480
5x11x2=110
480+110=590
9. A team of 8 basketball players need to choose a co-captain and captain.
A) combination
B) permutation
C) neither
Answers
Answer:
b
Step-by-step explanation:
Since the order is important, as there are different roles, a permutation is used, hence option B is correct.
When to use the combination and the permutation formula?If the order in which the options are taken is important, permutation is used.Otherwise, if the order in which the options are taken is not important, combination is used.In this problem:
If the order is LeBron and Giannis, LeBron is the co-captain and Giannis is the captain.If it is Giannis and LeBron, Giannis is the co-captain and LeBron is the captain.Hence the order is important, which means that it is a permutation.
More can be learned about the combination and permutation at https://brainly.com/question/25821700
The song lasts 3 minutes and 27 seconds. If Rasmus' beloved has to get home before the song is over, and rides a bike at an average speed of 15 km / h, how far away must her work be from their home?
Set up an equation that describes the problem where x is the distance between home and work.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
From the question :
Duration, time, t = 3 minutes, 27 seconds = (3 * 60) + 27 = 207 seconds
Average speed = 15 km/h = (15*1000) /3600 = 4.16666 m/s
Let distance = x
Recall:
Speed = distance / time
Distance = speed * time
x ≤ (speed * time)
x ≤ (4.16666 * 207)
x ≤ 862.5 m
x ≤ (862.5 / 1000) km
x ≤ 0.862.5 km
Write an inequality for the statement. Use "A" as your variable.
The age of Salem plus the age of his cousin. who is 12 years old, is a total that is greater than 21 years.
Pleaseee help
Answers
Answer:
A + 12 > 21
Step-by-step explanation:
This means the sum of salem and his cousin's age should be bigger than 21 years.
Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not spend any of that money for 1 week. Finally, she spent $15 on new sunglasses.
Which part of the scenario is best represented by a linear increasing interval?
A. Bentley has $40 in her piggy bank.
B. Bentley spent $10 on new flip flops.
C. Bentley got $20 for her allowance.
D. Bentley spent $15 on sunglasses.
Answers
Answer:
C. Bentley got $20 for her allowance.
Step-by-step explanation:
If Bentley was given $40 at first, then spent $10, we plot a line on the graph that decreases and then she receives $20. $20 is bigger than $10, therefore this is the scenario best represented by a linear increasing interval.
I hope this makes sense!! ^-^
P
Q
R
S
which one ???????
Answers
There are 20% more girls than boys in the Engineer's
Club. There are 120 girls in the Engineer's Club. How
many boys are there?
Answers
1.
Given the two equations:
y + x = 5
y-2x = -1
i)
Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answers
Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
Any help (pre-algebra)!? An explanation would be helpful too.
Answers
Answer:
your answer will be 0.75
Step-by-step explanation:
hope it helps
have a nice day!!
I will do it in a way that can solve all these kinds of problem.
Of course, you can just substitute every possible answer in and see which one has the highest y value.
BUT I'm going to do this question by completing the square.
First organize the equation by decreasing degrees.
y=-16t^2+32t
Now factor out a -16 to make the x variable have no coefficient.
y=-16(t^2-2t)
Now complete the square.
y=-16(t-1)^2+16
By this if you graph it its the parent graph y=x^2, its a reflection over x axis by the negative sign at the beginning, then a vertical stretch by 16, and then go to the right by 1 then up by 16. This meant that the vertex is (0,0) go right 1 and up 16.
The vertex or the highest point of the graph is point (1,16) This also meant that its after 1 second at 16 feet height. The answer is B.
Big ideas chapter 9 answers
Answers
do you have a picture with it??