(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
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
Jen has 1 chocolate bar she is sharing with her friend, Joe. Jen takes 2/3 of Joe’s piece. What’s Joe’s current piece?
Answer:1/3
Step-by-step explanation:
If Jen has 1 chocolate bar means that he has 3/3 whole .If he gives 2/3 then he will be left with 1/3 part of the chocolate bar.
What is the length of AB?
12 units
6
6 units
4
2
14 units
B
-8
-6
-4
-2
0
BX
-2
10 units
4
А
-6-
Answer:
12
Step-by-step explanation:
i counted 12 units from A to get to B
Answer:
I took the diagnostic and I don't know what it was. I wish they would tell you. But I think 14.
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
can someone help pleaseee its due soon
Answer:
10
Step-by-step explanation:
Hey can yall help me with this question thank you
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
what is the speed of a bowling ball that travels 100 meters in 5 seconds
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
5j-5= 5
----
j5 true or false
Someone help 100 points and marking brainliest
Answer:
ehh....130 is your answer alr bye
the answer to your question is 130
I need 6x-8=5x+4 solved
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6x-8=5x+4 Equation/Question
Step 2
6x-8=5x+4 simplify
6x-8=5x+4
Step 3
6x-8=5x+4 Subtract
x-8=4
Step 4
x-8=4 Add 8
answer
x=12
Hope this helps
Answer:
The answer is x = 12
Step-by-step explanation:
So, first you're going to add 8 on both sides
6x - 8 +8 = 5x + 4 + 8
Then simplify
6x = 5x + 12
Then subtract 5x from both sides
6x - 5x = 5x + 12 - 5x
Then simplify again and you get
x = 12
Hope this helped!
When is the slope intercept form only y= mx and not y = mx+b?
Answer:
No Y-Intercept
Step-by-step explanation:
The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.
The Video Rental Club charges a $5 monthly fee and $2.00 charge for each
video rental. The total cost for monthly video rentals depends on how many
movies a member rents. The table below represents the total cost of video
rentals per month.
videos (V)
0
1
2
3
4
monthly cost (c)
$5
$7
$9
$11
$13
Which equation represents the relationship between the cost, c, and the
number of videos, V?
C. c = 2V + 5
D. c = 5v + 2
A. c = 2v
B. C = 5v + 5
Answer:
C=2v+5
Step-by-step explanation:
C=2v+5
I got this because its 2 dollars PER video plus 5 a month
Solve the equation below for y.
12(y−8) = 14y−2
Answer:
y=-47
Step-by-step explanation:
12(y-8)=14y-2
12y-96=14y-2
-96=14y-2-12y
-96=2y-2
-96+2=2y
-94=2y
-94/2=y
-47=y
y=-47
Answer:
-47
Step-by-step explanation:
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
.
.
...
.
. :-)))
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
WILL MARK BRAINLIEST!!!!!! Which of the following graphs represent a function?
Answer:
The second one
Step-by-step explanation:
the semi circle
Please help I’m confused also if you can’t see it just click on the picture.
Find the slope: change in y over change in x:
Slope = 30 - -5/ 6- -1 = 35/7 = 5
Find y intercept (the y value when x is 0)
Y = 5(0) = 0
There is no y intercept
The function rule would be:
Y = 5x
PLEASE ASAP
What is the equation of the line passes through the point (-6, 6) and is parallel to the y=2/3x-1?
Answer:
y=2/3 x+10
Evidence:
Picture
Hope it helped!
6|X– 3|+10=52
X= or x=
Answer:
x = 10, -4
Hope this helped!
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
a.23.3 mi/gal
c.0.042 mi/gal
b.840 mi/gal
d.13.6 mi/gal
Answer:
a
Step-by-step explanation:
because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝
Round your answer to the nearest tenth.
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
The point M is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the
A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission
Answer:
313000/100 X 4.5 = 14085
14085/100 X 20 = 2817
14085 - 2817 = 11268
agency = 11268
agent = 2817
A large bag of chocolate chips contains 11 1 4 cups. A cookie recipe needs 1 1 2 cups of chocolate chips. How many times can the cookie recipe be made? .
Answer: 7 1/2
Step-by-step explanation:
From the question, we are informed that a large bag of chocolate chips contains 11 1/4 cups and that a cookie recipe needs 1 1/2 cups of chocolate chips.
The number of times that the cookie recipe can be made will be:
= 11 1/4 ÷ 1 1/2
= 45/4 ÷ 3/2
= 45/4 × 2/3
= 7 1/2
The recipe can be made 7 1/2 times
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
Find the measure of
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
Determine whether the function is linear or nonlinear. Explain
helppppppppp
Answer:
A linear function follows a constant rate of change Here we see x moves by 4 units and that y decreases by 4 units then suddenly changes to 6 units hence 13 Is Not A functionFor 12, it is a function because it follows a consistent rate of change which is x or one unit of change.Answer:
12) The function is linear.
13) This function is not linear.
Step-by-step explanation:
13) A linear functions equation must be in y = mx + b form
When you graph the table there is no y = mx + b equation that makes a line that passes through all the points.
Does this table represent a proportional relationship?
A) Yes
B) No
Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.
The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer: Answer Is C
Step-by-step explanation: Did the Quiz test thing
Answer:
C. 6p3 – 23p2 + 9p + 28
Step-by-step explanation:
edge