7
A chord of a circle is 18 cm long. It is
6.3 cm from the centre of the circle
Calculate the radius of the circle to the
nearest whole number. step by step show the calculation
Answers
Answer:
11 cm
Step-by-step explanation:
r² = 9² + 6.3²
r² = 120.69
r = 10.9859000542
Rounded
r = 11 cm
Answer:
[tex]\rm 10.9 cm [/tex]
Step-by-step explanation:
Given that :-
A chord of a circle is 18 cm long. It is 6.3 cm from the centre of the circle.And we need to find out the radius of the circle.
[tex]\text{ Theorem :-}[/tex]
Perpendicular from the centre of circle , to the chord , bisects the chord .Using Pythagoras Theorem :-
[tex]\implies \rm OA^2= AB^2+OB^2\\\\\rm\implies OA^2= (6.3 cm)^3+(9cm)^2\\\\\rm\implies OA^2=
120.69 \\\\\implies\boxed{\rm OA = 10.9 cm }[/tex]
Hence the radius is 10.9 cm
Related Questions
Find the gradient of the line segment between the points (-2,3) and (-5,6)
Answers
Answer:
m = -1
Step-by-step explanation:
As we move from (-5, 6) to (-2, 3), x (the 'run') increases by 3 and y (the 'rise) decreases by 3. Hence the gradient, or slope, of this line segment is
m = rise / run = -3/3, or m = -1
i will give Brainiest if you are right
Answers
Answer:
b) [tex] 572.7 \: ft^3 [/tex]
Step-by-step explanation:
Volume of water needed to fill the fish tank
= 11.5* 8.3 * 6
[tex] = 572.7 \: ft^3 [/tex]
Can anyone help please ?
Answers
The graph is decreasing as we move about the x-axis from Left to right. so the answer is A
14x^2=8y^2-6xy where x>0 and y>0 find the ratio x:y
Answers
Answer:
4 : 7
Step-by-step explanation:
First, you can start by moving all the terms to one side:
14x^2 + 6xy - 8y^2 = 0
Now we can start to factor this equation in order to find the ratio. We can start by factoring out the GCF, which is 2:
2(7x^2 + 3xy - 4y^2) = 0
In order to factor this equation we multiply the coefficients in front of the x^2 and y^2 term to get: 7 * -4 or -28. We are looking for numbers that have a product of -28 and a sum of 3(as the coefficient of the xy term). These two numbers are 7 and -4. We can rewrite the equation as:
2(7x^2 + 7xy - 4xy - 4y^2) = 0
Now, we can start to factor by grouping:
2( 7x[x + y] - 4y[x + y] ) = 0
And we can factor out [x + y]:
2(x + y)(7x - 4y) = 0
So, we can use the zero product property to get two equations:
x + y = 0
and
7x - 4y = 0
You get:
x = -y
and
7x = 4y
We can get cancel out the first solution because both x and y have to be positive. Rearranging the second equation we can get x : y = 4 : 7
Can someone please help me? This is a geometry question.
Answers
Answer:
A is the answer think so is that helpful or helpless plz reply
Hal has two cans containing biscuit dough. The cans are cylindrical and their dimensions (in inches) are as follows.
• Can A: h = 8 and r= 1.1
• Can B: h = 4 and r = 2.2
Which of the following statements about the volumes of the cans is true?
OA.
The volume of can A is half the volume of can B.
ОВ.
The volumes of the two cans are equal.
OC. The volume of can B is four times the volume of can A.
OD.
The volume of can B is half the volume of can A.
Answers
What is six times six
Answers
Answer:
36
Step-by-step explanation:
6+6+6+6+6+6=36
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at math.
Calculate the slope of the lines using the rise/run formula.
Answers
Answer:
1. 3/4 2. -1/3
Step-by-step explanation:
#1:
Given rise/run, the rise is 3, and the run, is 4, so... 3/4
#2:
Given rise/run, the rise is 2, and the run is 6, so... you get 2/6 = 1/3. However, don't forget that the slope is negative, so it'll be -1/3.
Answer:
3. 3/4
4. -1/3
Step-by-step explanation:
Since the rise and run formula is slope = (y1-y2)/(x1-x2),
3. (2 - (-1) ) / (2- (-2) ) = 3/4
4. (-1- (-3) ) / (-2 - (-4) ) = -2/6 = -1/3
Jamal treated his family to a fancy brunch. Their brunch cost $250, and the local sales tax
was 4%. If Jamal left an 18% tip on the $250, how much in total did he pay?
Answers
Answer:
306.80
Step-by-step explanation:
250 + 4% = 260
260 + 18% = 306.80
Total amount paid by Jamal is $305
Step-by-step explanation:
Given that;
Cost of meal = $250
Local sale tax rate = 4%
Percentage of tip left by Jamal = 18%
Find:
Total amount paid by Jamal
Computation:
Total tax paid by Jamal = 250 × 4%
Total tax paid by Jamal = $10
Total amount of tip left by Jamal = 250 × 18%
Total amount of tip left by Jamal = $45
Total amount paid by Jamal = Cost of meal + Total tax paid by Jamal + Total amount of tip left by Jamal
Total amount paid by Jamal = 10 + 45 + 250
Total amount paid by Jamal = $305
Learn more:
https://brainly.com/question/2155156?referrer=searchResults
Do you think this fish is a gram or kilogram ??
Answers
An archeologist uncovered a piece of broken
ceramic plate that was originally in the shape of
a regular polygon. The sum of the interior angles
is 1080°. Using the formula s=180(n-2) wheres
represents the sum of the interior
angles,
was the original shape of the plate?
what
Answers
Answer:
Step-by-step explanation:
9 sides
1 poin
5. A company that makes boxes finds that 60 out of 150 boxes are
damaged. *
What percent of boxes are damaged?
Answers
what is...
5 times 6 plus 45 minus 67 divided by 78635 times 8273 plus square root of 6
Answers
Answer:
sorryajaajqiqoqoqiqsjsjwuwuqqu
Is 46 ounces greater than 2 pounds? Pls help
Answers
Answer:
yes
Step-by-step explanation:
yes because 46 ounces is equal to 2.9 pounds
Answer: Yes
Step-by-step explanation:
Im correct because, 1 pound equals 16 ounces. So to find how much 2 pounds is we just have to multiply 16 by 2. 16 times 2 equals 32 ounces and 46 ounces is more then 32 ounces, so it is greater.
Hope This Helps!
give your answer as a mixed number
will someone show me how
to work out questions like this in the pictures step but step
Answers
Answer:
The value of given expression is 13 / 3
Step-by-step explanation:
Given expression in the form of improper fraction;
17/3 - [tex]1\frac{1}{3}[/tex]
Find;
The value of given expression
Computation:
⇒ 17/3 - [tex]1\frac{1}{3}[/tex]
Step 1 ;
Change mixed fraction into simple fraction
⇒ 17/3 - 4/3
Step 2 ;
By taking LCM of denominators;
⇒ [17 - 4] / 3
Step 3 ;
Subtract 17 from 3
⇒ [13] / 3
The value of given expression is 13 / 3
10xy(4xy^3-7xy+9y^2)
Answers
Answer:
[tex]40x^{2} y^{4} -70x^{2} y^{2} +90xy^{3}[/tex]
Step-by-step explanation:
[tex]10xy(4xy^{3} -7xy+9y^2)[/tex]
1. 10xy · 4xy^3 = [tex]40x^2y^4[/tex]
2. 10xy · -7xy = [tex]-70x^{2} y^{2}[/tex]
3. 10xy · 9y^2 = [tex]90xy^3[/tex]
Final step: add up all of those values together to make an equation!
Answer: [tex]40x^2y^4+[/tex] [tex]-70x^2y^2+[/tex] [tex]90xy^3[/tex]
Final Answer: [tex]40x^2y^4-70x^2y^2+90xy^3[/tex]
For each of the following situations, identify the response variable and the populations to be compared, and give I, the ni, and N.
(a) A poultry farmer is interested in reducing the cholesterol level in his marketable eggs. He wants to compare two different cholesterol-lowering drugs added to the hen's standard diet as well as an all-vegetarian diet. He assigns 35 of his hens to each of the three treatments.
Response variable:
caloric intake
egg cholesterol level
diet cholesterol level
number of hens
number of marketable eggs laid
Populations: (Select all that apply.)
all eggs laid on a farm
hens on an all-vegetarian diet
all hens on a farm
hens on a standard diet and receiving one of two cholesterol-lowering drugs
eggs with different cholesterol levels
I =
n1 =
n2 =
n3 =
N =
(b) A researcher is interested in students' opinions regarding an additional annual fee to support non-income-producing varsity sports. Students were asked to rate their acceptance of this fee on a five-point scale. She received 93 responses, of which 32 were from students who attend varsity football or basketball games only, 18 were from students who also attend other varsity competitions, and 43 who did not attend any varsity games.
Response variable:
varsity sport played
number of students who attend varsity games
number of games attended
acceptance rating on a five-point scale
amount of annual fee paid
Populations: (Select all that apply.)
students who pay an annual fee
students who do not attend any varsity games
students who play sports
students who attend varsity football or basketball games
students who attend other varsity competitions
I =
n1 =
n2 =
n3 =
N =
(c) A professor wants to evaluate the effectiveness of his teaching assistants. In one class period, the 48 students were randomly divided into three equal-sized groups, and each group was taught power calculations from one of the assistants. At the beginning of the next class, each student took a quiz on power calculations, and these scores were compared.
Response variable:
course gradequiz score
rating of the professor on a five-point scale
rating of the assistant on a five-point scale
number of questions on the quiz
Populations: (Select all that apply.)
students in the three TA groups
students passing the course
all students at the school
the three teaching assistants
students who like their TA
I =
n1 =
n2 =
n3 =
N =
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
POPULATION :
hens on an all-vegetarian diet
hens on a standard diet and receiving one of two cholesterol-lowering drugs
RESPONSE : cholesterol level
I = 3
n1 = 35
n2 = 35
n3 = 35
N = (35 + 35 + 35) = 105
2.)
RESPONSE :
Acceptance rating on a five-point scale
POPULATION :
Students who attend varsity football or basketball games
students who attend other varsity competitions
Student who do not attend any varsity games
I = 3
n1 = 32
n2 = 18
n3 = 43
N = (32 + 18 + 43) = 93
3.)
RESPONSE :
course gradequiz score
POPULATION :
Students in the three TA group
I = 3
Since, the samples were divided equally into 3, hence we have 48 / 3 16 per group
n1 = 16
n2 = 16
n3 = 16
N = 48
I need the answer pls, answer fast I am I s choool
Answers
Answer:
Hello! answer: D. 180
Step-by-step explanation:
What you do for these is find the surface area for each face separately then add them up so...
for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!
Answer:
180 in²
Step-by-step explanation:
To wrap the given box, we need to find the total surface area of the figure.
TSA of cuboid = 2 (lb + bh + hl)
= 2 { (6*8) + (8*3) + (3*6) }
= 2 ( 48 + 24 + 18 )
= 2 * 90
= 180 in²
Find the area of the image below
Answers
Answer:
The answer is 65 square units
Which of the following are solutions to the equation below?
Check all that apply.
4x2 - 81 = 0
Answers
Help I’ll give extra points
Answers
Which point represents the approximate location of V115?
Answers
Answer: Point A
Step-by-step explanation:
√ 115 = approx. 10.72
30 points!!
In the figure shown below, all the corners form right angles. What is the area of the figure?
Answers
Answer:
B
Step-by-step explanation:
What is the step by step to get this answer I got
Answers
Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
Can someone help me please?
Answers
Answer:
28pi, 10pi
Step-by-step explanation:
So, lets go over a few things.
What is circumference?
Circumference is the permiteter of a circle.
The formula for it is 2*r*pi.
Now, lets go over what radius and diamater is.
Diamater is the distance between the two opposite sides of the circle.
The radius is half of the diamater, and is the distance between one side of the circle and the middle.
Problem #1:
The distance from the middle to the side of the circle is 14.
This will be the radius, not the diamater.
Lets plug this into the formula:
2*14*pi
=
28*pi
=
28pi
This is your answer.
Problem #2
The distance from the two opposite sides of the circle is 10.
So the radius will be half of this, being 5.
Now lets plug this in:
2*5*pi
=
10*pi
=
10pi
This is your answer.
Hope this helps!
Mark invests $150 at the beginning of each quarter in stock ABC. According
to the table below, how many shares of ABC will Mark own at the end of the
year?
ABC
01
02
03
04
Stock Price
$15
$16
$13
$18
O A. 44 shares
O B. 36 shares
O C. 40 shares
O D. 38 shares
Answers
Answer: 38 shares
Step-by-step explanation:
NO LINKS. Each event can occur in the given number of ways. Find the number of ways all of the events can occur.
Answers
9514 1404 393
Answer:
1254890Step-by-step explanation:
Assuming the events are independent, the numbers of ways are multiplied in order to find the total number of possible ways a combination of events can happen.
1. 3×4 = 12
2. 1×5 = 5
3. 4×6×2 = 48
4. 2×9×5 = 90
The amount of cashews in a mixture of nuts is 3 times the amount of almonds. Let C represent the amount of cashews in the mixture. If there are 1 1/2 lb. of almonds in the number mixture, how many pounds of cashews are there?
Answers
Answer:
4.5 lb
Step-by-step explanation:
1.5*3 is 4.5
Tyler has 25 pieces of candy. Ethan takes 4/5 of Tyler’s candy. Steve says Ethan took almost all of Tyler’s candy. Is Steve correct?
Answers
Answer:
yes, steve is correct
Step-by-step explanation:
Answer:
yep, he's right. Ethan took 20 pieces of candy
Step-by-step explanation:
4/5 = 20/25
The factors 11 and 12 are a factor pair of 137.
O A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]