(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answers
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Related Questions
Help me please. I'll give Brainliest.
Answers
Which of the following is not a geometric tool?
A.Compass
B.Pen
C.Protractor
D.Set Squares
Answers
Answer:
C. Protractor
Answer:
A
Step-by-step explanation:
A compass is for directions.
which phrase represents 3-7x
Answers
Answer:
3 less 7x
Step-by-step explanation:
I think soooo
not sure either
Answer: 3 - 7x = D) The difference between three and seven times a number. This expression is known because the words times and difference are your key words. Times means multiplication and difference means subtraction.
The difference between three and seven times a number.
HOPE THIS HELPS
What is the solution to the system of equations below?
X+ 3y = 15
and 4x+ 2y = 30
O (6,3)
O (3,6)
O (7,-6)
O (-6, 7)
Answers
Answer:
(6,3)
Step-by-step explanation:
Here is the system of equations:
x+3y=15
4x+2y=30
Since we have x with a coefficient of 1 in the first equation, let's use substitution to solve this system.
In the first equation, subtract 3y from both sides
x=-3y+15
now substitute -3y+15 as x in the second equation, and solve for y
4(-3y+15)+2y=30
do distributive property
-12y+60+2y=30
combine like terms
-10y+60=30
subtract 60 from both sides
-10y=-30
divide by -10
y=3
Now, substitute y as 3 into either one of the equations to solve for x.
For example, let's use x=-3y+15
x=-3(3)+15
multiply
x=-9+15
x=6
The answer is x=6 and y=3. As a point it's (6,3)
Hope this helps!
Toshеlle wants to take strength training classes at the
community center. She has to pay a one-time enrollment fee of $25 to join the
community center, and then $45 for each class she wants to take. Write an
equation in slope-intercept form for the cost of taking x classes.
Answers
Answer:
I would say y=45x+25
I’m doing the same workbook page
(If this is wrong I’m sorry)
Hope this helps
Have a great day/night
i will give brainiest to whom answers correct and the fastest and a thanks
Answers
Answer:
(D) The bottom graph, and (A) The top table.
Step-by-step explanation:
The easiest way to pick out the wrong answers is simply through substitution. Substitute the input into the x part of the equation that is given and if it doesn't match up with y everytime, then it is incorrect.
From table A (top table), the input x can be substituted into y = x + 2 which will come out as the output so it is correct.
For table A:
x = -3 → y = x + 2 → y = (-3) + 2 → y = -1 = -1
x = -2 → y = x + 2 → y = (-2) + 2 → y = 0 = 0
x = -1 → y = x + 2 → y = (-1) + 2 → y = 1 = 1
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2
x = 1 → y = x + 2 → y = (1) + 2 → y = 3 = 3
Since the table matches up with the inputs and outputs of the table, it is a correct answer.
For table B:
x = 3 → y = x + 2 → y = (3) + 2 → y = 5 = 5
x = 4 → y = x + 2 → y = (4) + 2 → y = 6 ≠ 7
x = 5 → y = x + 2 → y = (5) + 2 → y = 7 ≠ 9
x = 6 → y = x + 2 → y = (6) + 2 → y = 8 ≠ 11
x = 7 → y = x + 2 → y = (7) + 2 → y = 9 ≠ 13
5 out of the 6 y values of the table do not match the equation, so table B must be incorrect.
Graph C:
Notice how you can see the line cross the x, and y axis. When the line crosses the x axis, it is an x intercept which means y is 0. When the line crosses the y axis, it is a y intercept which means x is 0.
Since the line crosses the y axis at 2, this means that an x of 0 must lead to a y of 2 which it does.
x = 0 → y = x + 2 → y = (0) + 2 → y = 2 = 2.
But the x intercept doesn't match up as shown here.
y = 0 → y = x + 2 → (0) = x + 2 →
0 – 2 = x + 2 – 2 → -2 = x → x = -2 ≠ -1
When graphing the line y = x + 2, it's x intercept should be (-2,0). While on this graph, it's (-1,0). This means that this graph is incorrect which leads to D being another correct answer.
✓ Table A: y = x + 2
× Table B: y = 2x – 1
× Graph C: y = 2x + 2
✓ Graph D: y = x + 2
5x+y=7
20x+2=y
What does x=?
What doesy=?
Answers
Answer: y = 6 x = 0.2
Step-by-step explanation:
5x+y=7
20x+2=y
re-write one
5x + y = 7 OR y = 7 - 5x
substitution
20x + 2 = 7 - 5x
20x + 5x = 7 - 2
25 x = 5
x = 5/25
x = 0.2
now for finding y
y = 7 - 5x
y = 7 - 5(0.2)
y = 7 - 1
y = 6
The expression (2x^2)^3 is equivalent to _____. ^this is for to remind that the 2 and 3 are exponents
a.6x2
b.6x5
c.8x6
Answers
Answer:
c
Step-by-step explanation:
(2x²)³ = 2³(x^(2×3))
=2³x⁶
=8x⁶
Helpppp pllzzz & thx
In circle B, find x if m A = 3x + 9 and m B = 8x – 4.
Answers
6x + 18 = 8x - 4
22 = 2x
11 = x
The value of x is 11.
Central Angle Theorem :It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
From given figure, [tex]A=3x+9,B=8x-4[/tex]
[tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]
Learn more about the central angle of circle here:
https://brainly.com/question/3538263
6. In Rectangle DEFG DE=7. EF=3 FG = 7, and DG = 3
6
In Rectangle MNOP, MN=7, NO = 3. OP=7, and MP=3
Can Rectangles DEFG and MNOP be classified as similar, congruent
both or neither? Explain
Answers
Answer:
5
Step-by-step explanation:
A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 3 and add 1. She discovers this pattern:
Which would best complete the pattern?
A. 4 x 3 = 12, 4 + 12 = 16, 16
B. 4 x 3 = 12, 12 + 1 = 13, 13
C. 4 x 3 = 12, 12 = 3, 3
D. 4 + 3 = 7, 7 x 3 = 21, 21
Answers
Answer:
B
Step-by-step explanation:
B is the only choice that has both all of the steps, and all of the steps in the right order.
Answer:
21
Step-by-step explanation:
PLEASE HELP FAST ( i will give brainliest)
Answers
Answer:
Step-by-step explanation:
60+30=90
180-90=90
60+30+90=180
so the x is 90
Answer:
x=3.5 if rounded if not than 3.4
Step-by-step explanation:
7x^2a+7xa^2
Find the greatest common factor
Answers
Answer:
GCF is 7xa
Step-by-step explanation:
Answer:
hCf is 7ax
plz refer to the picture
plz mark as brainliest
Lean ground beef costs $7.25 per pound. Which equation best represents y, the total cost of x pounds of lean ground beef?
a
x = 7.25 + y
b
y = 7.25 + x
c
x = 7.25y
d
y = 7.25x
Answers
The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
Given that,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
We have to determine,
The equation which represent y.
According to the question,
Lean ground beef costs $7.25 per pound.
The total cost of x pounds of lean ground beef.
The equation for representation the total cost y of x pounds is written as.
Total cost of pounds = Lean ground beef costs $7.25 per pound × cost of x pounds of lean ground beef.
The equation for total cost of y of x pounds,
y = (7.25).(x)
y = 7.25x
Hence, The equation for best represents y, the total cost of x pounds of lean ground beef is y = 7.25x.
For more information about Linear equation click the link given below.
https://brainly.com/question/22272773
Twenty years ago, James made a deposit of $13,000.00 into an account. After twenty years, the account had earned $10,400.00 in interest. What simple
interest rate did the account earn?
Answers
Answer:
Use the information given to write an equation in standard form.
Slope is -3, and (0, -4) is on the line.
Step-by-step explanation:
While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came, she would need to pay Brookfield sales tax of 14% and would want to leave an 18% tip on the original $50. Including tax and tip, how much did Haley's meal cost?
Answers
Answer:
$66
Step-by-step explanation:
The meal cost $50 without taxes.
The cost of tax:
$50*%14= $7
so she will pay a $7 tax
Also, she wants to tip %18 of the original $50 so:
$50*%18= $9
so she will tip $9
$50 + $7 + $9 = $66
Find sin(90°).
45°
A.0
В.1
C. square 2
D. square 2 / 2
Answers
Answer:
sin90° = 1.
Step-by-step explanation:
Using the diagram, we notice that the side opposite of the 90° angle is the hypotenuse itself.
Therefore sin90° = Hypotenuse/Hypotenuse = 1.
Which equation represents the pattern in the table?
Answers
Simplify the following.
–(32)2
Answers
Answer:
-64
Step-by-step explanation:
If i'm not mistaken and this is times then it is just
-32 times 2
which is -64.
-
Have a wonderful day and best of luck!
Romeo paid 380.75 in car repairs the sales tax is 7.5%. What is the total that Romeo has to pay
Answers
Step-by-step explanation:
Answer: $380.75x0.075%=28.55625 28.55625+380.75%-D409.30625 $409.30625 $409.31 Answer: $409.31
40 is a rational number.
Answers
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
40 is a rational number
Step-by-step explanation:
It can be expressed as a quotient of two factors
40/1
question:
solve the first equation for Y
2x+y=5
2y=2x-8
answer choices:
a) y=-2x+5
b) y=2x+5
c) y=2x-5
d) y=x-4
e) y=2x-8
(i dont understand it help)
Answers
Answer:
(c) y = 2x - 5
Step-by-step explanation:
y=2x+y=5
subtract 2x from both sides of the equation
the answer is C
Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?
Answers
Answer:
4,200 hbph
Step-by-step explanation:
Hope this helps and have a great day!!!
Answer:
4200 times
Step-by-step explanation:
If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.
Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?
Answers
Answer:
$170
Step-by-step explanation:
every year she got $170 interested
50 points please help!!!
Answers
Answer:
the answer would be B.
Step-by-step explanation:
it's the correct answer
Answer:
A
Step-by-step explanation:
I think you have to divide in these and so 16 ÷ 8 = 2 and 3+3 = 6 for the powers
The system of equations has .
Answers
Answer:
A System of Equations has two or more equations in one or more variables Many Variables So a System of Equations could have many equations and many variables.
Step-by-step explanation:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
Find the side lengths asked below:
Answers
Answer:
WZ=
UZ=
Step-by-step explanation:
First, you have to find the x.
3x-6+x+6
Combine like terms
(3x+x) (-6+6)
4x+0
x=4.
WZ=3(4)-6
12-6
6
UZ= (4)+6
10
please help me almost done
Answers
Answer:
x = -8
<XCE = 30
Step-by-step explanation:
Remark
In any question like this, there are 8 possible answers. Of the 8, 4 are acute angles and 4 are obtuse. So any pair are either equal to each other, or they are supplementary. In this case the two given angles are equal.
We have a little bit of both in this question.
Solution
3x + 174 = - 7x + 94 Alternate exterior angles. Add 7x to both sides.
3x+7x +174 = 94 Combine
10x + 174 = 94 Subtract 174 from both sides
10x = 94 - 174
10x = - 80 Divide by 10
x = - 80/10
x = - 8
===================
Check
3x + 174 = -24 + 174 = 150
-7x + 94 = -7*-8 + 94
-7x + 94 = 56 + 94 = 150
<XCE
<XCE = 180 - (3x + 174)
<XCE = 180 - (-24 + 174)
<XCE = 180 - (150)
<XCE = 30
Plzz help me to find coefficient in binomial theorem (25 points)
Answers
Denote x2 by y.
(x2-3)7=(y-3)7
This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
7!/(4!3!)=35
So, the coefficient of x8 in the given expansion will be 210.
HOPE IT HELPS
THANK YOU
PLEASE HELP HOW DO I SOLVE THIS?
12 + 7c = 103
Answers
Answer:
13
Step-by-step explanation:
7c=103-12
7c=91
c=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
12+7c=103 Equation/Question
Step 2
12+7c=103 Simplify
Step 3
12+7c=103 Subtract 12
7c=91
Step 4
7c=91 Divide both sides
answer
c=13
Hope this helps
