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NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.
Answers
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm
Answer:
The radius of the circle is 7.5 cm
Step-by-step explanation:
Circles and Lines
The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.
We have attached an image with some additional measures to solve the problem.
Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.
The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:
[tex]r=\sqrt{6^2+4.5^2}[/tex]
[tex]r=\sqrt{36+20.25}[/tex]
[tex]r=\sqrt{56.25}[/tex]
[tex]\boxed{r = 7.5\ cm}[/tex]
The radius of the circle is 7.5 cm
Related Questions
work out the difference in minutes between 1 hour 25 minutes and 1 1/4
Answers
Answer:
1 1/4 is 10 minutes less than 1 hour and 25 minutes
Step-by-step explanation:
1 1/4 is equivalent to 1 hour and 15 minutes.
We get this by taking the 60 minutes we know are in an hour and multiplying it by the 1/4
[tex]\frac{60}{1} *\frac{1}{4} = \frac{60}{4} = 15[/tex]
The difference between 25 minutes and 15 minutes is 10 minutes.
A 3-yard roll of wrapping paper costs $8.64. What is the price per inch?
Answers
0.08$
Step-by-step explanation:
1yrd=36inch
3yard=108inch
108 inch costs 8.64$
8.64/108=0.08$ ( 1 inch cost)
Louis is buying groceries and stops at the deli counter to purchase sliced Swiss cheese. The deli uses a scale like the one shown to calculate the weight and price of deli purchases.
Answers
Please help!! I have trouble in math and will give points and thanks for this!!
Answers
Answer:
-5
Step-by-step explanation:
You can count backwards from -1.
-1, -2, -3, -4, and then -5 is the blue dot.
The left side of 0 is the negative side. The right side is the positive side.
Hope this helps!
Answer:
-5
Step-by-step explanation:
If you're going backward on the number line then you are in the negative zone because of -1
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answers
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
Which equation describes the function whose y-intercept is 6 and whose
graph has slope 2?
HELPP
Answers
Answer:
y=2x+6
slope intercept form: y=mx+y-intercept
m=slope
Helppp asappp I need help with 4
Answers
Answer:
Step-by-step explanation:
1. Write the equation in point slope form. Remember, point slope form looks like this: y-y1=m(x-x1), with m representing slope. With this equation, you plug in the y coordinate for y1 and the x coordinate for x1. So, it will look like this
y+6=2/3(x+5)
2. Then, convert that into slope intercept form, which is y=mx+b.
y+6=2/3x+10/3 (2/3 * 5)
y= 2/3x - 8/3 (10/3 - 6)
Therefore, your slope-intercept form of the equation is: y=2/3x - 8/3
3. From there, you can graph the line. See the graph in the image attached.
How many adults visited the museum in February
Answers
Answer:
83 adults visited the museum on february...
Step-by-step explanation:
hope this helps
Does anyone know? How to do this?
Answers
Answer:
4 operations b/c thats how many is in the box
them you do addition using PEMDAS( perinthasis exponets multiplication division addition subtraction hope this is helpful
Step-by-step explanation:
2 + -30 - (-5) + 60 + (-75)
Answers
Answer:
-38
Step-by-step explanation:
distribute, mutiply and add
HELP PLEASE AND THANKYOU!!!l
Answers
That’s the really answer
30 students in a class took an algebra test.
If 21 students passed the test, what percent passed?
Answers
Answer:
70%
Step-by-step explanation:
21/30 p/100
30/30=2,100/30=70
Find the area and perimeter of the square using formula and
the given dimensions.
A square with a side length of 13 meters.
A P = 22 m, A = 129 sq. m
B P = 42 m, A = 159 sq. m
C P = 52 m, A = 169 sq. m
D P = 32 m, A = 189 sq. m
Answers
Answer:
A= l×l
= 13×13
A= 169
P= 4l
= 4×13
= 52
so the answer is C
Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73
Answers
Answer:
$ 60
Step-by-step explanation:
hope it helps!
.....
Answer:
It is B
Step-by-step explanation:
Got it right on unit review
Which relation diagram represents a function?
Answers
Answer:
It is going to be the first one on the top left.
Step-by-step explanation:
the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.
A relation will be a function if for every single input there is only one output thus option (A) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given diagrams,
A relation will be a function if for every single input there is only one output.
In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.
In the first diagram for every single input there is only one output.
Hence "A relation will be a function if for every single input there is only one output".
For more about the function,
brainly.com/question/23712366
#SPJ2
Use the commutative property of multiplication to rewrite 10.5.12. Which expression is equivalent? O A. 10.5.(5+5) OB. 10. 12.5 O C. (10.5) + 12 OD. 10 + 5 + 12
Answers
Answer:
b
Step-by-step explanation:
i did the math for over an hour and got the same answer 25 times
11) Solve the multiplication equation. Check your answer.
39 = 13y what does y equal?
Answers
Answer:
y = 3
Step-by-step explanation:
39 = 13y
y = 3 (explanation: by dividing 13)
Check answer:
39 = 13(3)
39 = 39
Answer:
y = 3
Step-by-step explanation:
39 = 13y
Divide each side by 13
39/13 = 13y/13
3 = y
Check
39 = 13*3
39 = 39
Our solution checks
what is the product of 2 1/8 and 4 1/3 ? who ever answer correct will be marked brainlest
Answers
Answer:
9 5/24
Step-by-step explanation:
A line passes through the point (2,3) and has a slope of 0, what equation of the line?
A: y=2
B: y=3
C: x=2
D: x=3
Answers
Answer: B
Step-by-step explanation: put the points on a graph
What's the x that will make the fraction greater than or equal to 75%
Please show the thought process to get to x=16
1/5 = 20%
x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
Merry Christmas
Answers
9514 1404 393
Answer:
x ≥ 16 or x < 0
Step-by-step explanation:
You want ...
(x -4)/x ≥ 3/4
4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)
4x -16 ≥ 3x
x ≥ 16 . . . . . . . . . . add 16-3x
__
For x < 0, multiplying by 4x gives ...
4(x -4) ≤ 3x
4x -16 ≤ 3x
x ≤ 16 . . . . . and x < 0
__
There are two sets of solutions:
x < 0 or x ≥ 16
Find the slope of the line represented by the table
Answers
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
A full 335 ml can of Coca-Cola is filtered at a rate
of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm
Answers
9514 1404 393
Answer:
33.5 minutes
Step-by-step explanation:
There are many ways you can look at this problem. One is to write equations for the amount in each can, and solve for the time that makes those amounts equal. Another is to consider how much time it takes to reduce the volume by half.
Using the first method, we have ...
335 -5t = 5t
335 = 10t
335/10 = 33.5 = t
It takes 33.5 minutes for the cans to have the same amount.
write an equation of the line with a slope of 2 and a y-intercept of 5
Answers
Answer:
y= 2x + 5
Step-by-step explanation:
What’s is the value of the expression 7+[8-(1+9)]
Answers
Answer:
5
Step-by-step explanation:
7+(8-(1+9))
7+(8-10)
7+(-2)
7-2
5
Auggie's vineyard consists of 240 acres upon which he wishes to plant Merlot grapes and Cabernet grapes. Profit per acre of Merlot is $400, and profit per acre of Cabernet is $300. The number of hours of labor available is 3200. Each acre of Merlot requires 20 hr of labor, and each acre of Cabernet requires 10 hr of labor. Determine how the land should be divided between Merlot and Cabernet in order to maximize profit.
Answers
giving brainly !! if u help me
Answers
3. You need to subtract 1 from both sides.
4. I think you would add 5 to both sides? Not totally sure.
5. Subtract 5 from both sides.
6. The parentheses, you need to distribute the negative three.
Sorry I don’t know the answer to question two.....
Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D
Answers
Answer:
It's A
Step-by-step explanation:
the one above me is incorrect it's "A"
Answer:
A
Step-by-step explanation:
hi
Why is math so hard to do for other people in the world?
Answers
Answer:
To make math easy for my students, whenever I become a math teacher, is the sole purpose why I want to be an educator. To understand how to make math easy, one needs to understand the whats, hows, whys of why people struggle with math.
Most people do not relate to math well and it usually starts around the middle/highschool level.
It's really no one's fault, to be honest.
At some point after arithmetic people start to lose sight, rather never realize what math is actually about. Math is more than counting, it is about critical thinking, logic, reason, pattern, and theory, way more than just digits. Yet, common education( at least here in the US) teaches to follow steps to solve problems as if it were a cookbook, just memorize the recipe and your good to go. If one gets the right or wrong answer, they would be lost as to explain what is truly happening.
Example Learning algebra I followed steps to solve for “x. ” Yet, I never knew, truly, what I was doing. All I remember thinking was the y intercept helped me get the “x.” Only later in self study in college did I bump into the fundamental theorem of algebra…. It all made sense. That moment put it into perspective for me.
If we want people to be good at math we have to give perspective on what is being taught, either presenting theory(which Uncle Sam should do), or simply by giving the bigger picture. With my example, to many people, they see it as a whole bunch digits and letters, get confused, and rightly so. If we explain to someone what's going down, that we are studying lines and that the intercepts(roots) help us better study(analyze) and capture these here lines and curves.
“Mr. Teacherman, Why do we need to study lines and cruves?” Great question student! To help us better understand the world around us. Just studying these simple curves on a graph may seem meaningless, but it forms the basis for things that aid us in many human endeavors, from building edifices to computer programming.
I wish that teachers did that in every class everyday.
In the US, we follow the cookbook method disservicing an entire country, especially those who are on the lower end of society.
help again again again
Answers
Answer:
it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up
Write 5.7% as an equivalent decimal.
O
A 5.7
O
B 0.57
O
C 0.057
D 570
Answers
Answer:
the answer is C
Step-by-step explanation:
[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]