The sum of the areas of the two segments defined by the chords AB and CD in the circle is 18π - 36.
To find the sum of the areas of the two segments defined by the chords AB and CD in a circle, we need to calculate the areas of each segment separately and then add them together.
First, let's determine the radius of the circle. Since we are given the lengths of the chords AB and CD, we can use the following formula:
r = (1/2) * AB * CD / sqrt((AB/2)^2 + r^2)
We know that AB = 8 and CD = 6, so let's substitute those values into the formula: r = (1/2) * 8 * 6 / sqrt((8/2)^2 + r^2)
r = 24 / sqrt(16 + r^2)
To solve this equation for r, we can square both sides:
r^2 = (24 / sqrt(16 + r^2))^2
r^2 = 576 / 16
r = 6
Now that we have the radius of the circle, we can calculate the angles subtended by the arcs AB and CD. We are given that the total scale of the two arcs is 180 degrees, so each arc subtends an angle of 180 degrees / 2 = 90 degrees.
To find the area of each segment, we can use the formula:
Segment Area = (θ/360) * π * r^2 - (1/2) * r^2 * sin(θ)
For the segment defined by the chord AB: θ = 90 degrees
Segment Area_AB = (90/360) * π * (6^2) - (1/2) * (6^2) * sin(90)
Segment Area_AB = 9π - 18
For the segment defined by the chord CD: θ = 90 degrees
Segment Area_CD = (90/360) * π * (6^2) - (1/2) * (6^2) * sin(90)
Segment Area_CD = 9π - 18
Now we can find the sum of the areas of the two segments:
Sum of Segments Area = Segment Area_AB + Segment Area_CD
Sum of Segments Area = (9π - 18) + (9π - 18)
Sum of Segments Area = 18π - 36. Therefore, the sum of the areas of the two segments is 18π - 36.
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HELP IM BEING TIMED 20+ points!!
Determine if each situation creates a positive or a negative result.
Answer:
1: +
2: +
3: -
4: +
5: -
6: -
Step-by-step explanation:
hope this helps!
laura has 160 pounds of green beans at her vegetable stand. she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
Answer:
18.75%
Step-by-step explanation:
Green beans = 160 pounds
Amount sold in 1 hour = 10 pounds
Amount sold in 3 hours = 3x10= 30 pounds
Decrease in 3 hours = 30 pounds
% decrease = (30/160) x 100
=300/16
=75/4
=18.75%
Grant is making muffins for a reunion. The recipe for blueberry muffins makes 12 muffins. The recipe for bran muffins makes 18 muffins. He wants to make the same number of each kind of muffin using only full recipes of each. Question 1 Part A What is the least number of each type of muffin Grant can make? Enter the correct answer in the box.
Answer:
To solve this problem, we need to find the least common multiple between 12 and 18.
This is written as:
LCM(12, 18)
And to find this, you can calculate:
LCM(12, 18) = 12*18/GCF(12,18)
Where GCF is the greatest common factor.
To find the greatest common factor let's factorize 12 and 18 in prime numbers:
12 = 2*2*3
18 = 2*3*3
now we can write them as:
12 = 2*(2*3) = 2*6
18 = (2*3)*3 = 6*3
Then the greatest common factor between 12 and 18 is 6.
Now the LCM will be:
12*18/6 = 2*18 = 36.
Then he must make 36 muffins of each type.
This means that he needs to do:
36/12 = 3 batches of blueberry muffins
36/18 = 2 batches of bran muffins.
what is the slope of 9x -5y = 4
the general equation of a graph is given by
y = mx + c
where m= slope
c=intercept
the equation given is
9x-5y=4
make y subject of formula
9x-4=5y
5y=9x-4
divide through by 5
y=9/5x-4/5
comparing with the general equation
mx=9/5x
m=slope=9/5
If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
What is the null hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Here,
We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.
We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.
Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
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Select the correct text in the passage
Which phrase provides the best context clue for the meaning of the word anonymously?
Jaxton shared that he originally wrote the book anonymously because he didn't want anyone to know he was the author. Therefore, he
didnt include his name when it was first published. After the book became a success, he could no longer keep it a secret and decided to add his
name to future publications.
Answer:didn’t include his name
Step-by-step explanation: just took the test
Answer:
didnt include his name
Step-by-step explanation:
please help me i really dont know this
Answer:
Okay, so..if i am thinking correctly you would have to times the numbers the original way that you would multiply anything with... then the remainders im sure that you probably just have to add those in...
(listen i am not so sure about this, i am in 6th grade...but hopefully i helped a little, sorry if i didn't help at all, i rly am... :) )
Step-by-step explanation:
HOPE I HELPED SORRY IF NOT, DON'T COUNT ON MY HELP..
I really am sorry if i didn't help y'all out... :/
<3
solve for x:x+3.17=12.78
help me find the answer, which numbers when put together make 405.
Answer:
19x23 = 437
437-23 = 414
414-9 = 405
Step-by-step explanation:
I believe this is what the question is asking. if not please let me know and tell me how the question works.
Pleaze help me asap
And please no fake answers.
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}}\) :
a = dk³ , b = dk² , c = dk\( \underline{ \underline{ \text{To \: prove}}} : \)
\( \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd} = \sqrt{(a - b - c)(b - c - d)} } \)
\( \underline{ \underline{ \text{Solution}}} : \)
Left hand side ( L.H.S ) :
\( \tt{ \sqrt{ab} - \sqrt{bc} - \sqrt{cd}} \)
⟶ \( \tt{ \sqrt{d {k}^{3} \cdot \: d {k}^{2} } - \sqrt{d {k}^{2} \cdot \: dk } - \sqrt{dk \cdot \: d} }\)
⟶ \( \tt{ \sqrt{ {d}^{2} {k}^{5} } - \sqrt{ {d}^{2} {k}^{3} } - \sqrt{ {d}^{2}k } }\)
⟶ \( \tt{ \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: {k}^{2} \cdot \: k } - \sqrt{ {d}^{2} \cdot \: {k}^{2} \cdot \: k \: } - \sqrt{ {d}^{2}k } }\)
⟶ \( \tt{ \sqrt{ {d}^{2} } \cdot \sqrt{ {k}^{2} } \cdot \: \sqrt{ {k}^{2} } \cdot \: \sqrt{k} } - \sqrt{ {d}^{2} }\cdot \: \sqrt{ {k}^{2}} \cdot \: \sqrt{k} \: - \sqrt{ {d}^{2} } \cdot \: \sqrt{k} \)
⟶ \( \tt{d {k}^{2} \sqrt{k} - dk \sqrt{k} - d \sqrt{k} }\)
⟶ \( \tt{ d\sqrt{k} \: ( {k}^{2} - k - 1) } \)
Right Hand Side ( R.H.S) :
\( \tt{ \sqrt{(a - b - c)(b - c - d)}} \)
⟶ \( \tt{ \sqrt{(d {k}^{3} - d {k}^{2} - dk)( d{k}^{2} - dk - d)} }\)
⟶ \( \tt{ \sqrt{ \{dk( {k}^{2} - k - 1) \} \: \{d( {k}^{2} - k - 1) \}} }\)
⟶ \( \tt{ \sqrt{ {d}^{2}k( {k}^{2} - k - 1) ^{2} } } \)
⟶ \( \tt{ \sqrt{ {d}^{2}k } \cdot \: \sqrt{ {( {k}^{2} - k - 1)}^{2} } } \)
⟶\( \tt{ \sqrt{ {d}^{2} } \cdot \: \sqrt{k} \cdot \: \sqrt{( {k}^{2} - k - 1) ^{2} } }\)
⟶ \( \tt{d \sqrt{k} \: ( {k}^{2} - k - 1) } \)
L.H.S = R.H.S
Hence , Proved !
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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What is the midpoint of the segment below?
O A. (-1.1)
O B. (0.5, -0.5)
O c. (0,0)
O D. (0.5, 0.5)
B.
Step-by-step explanation:
to find the midpoint the formula is
\(( \frac{x2 + x1}{2} \frac{y2 + y1}{2} )\)
so use the points provided and substitute them in to the formula!!
(-4,-7) = (x1, y1) (5,6) = (x2, y2)so now it would look like this inside the formula
and then you'll just solve that !!
\(\frac{5 + ( - 4)}{2} = \frac{1}{2} = 0.5\)
so we know x = 0.5 now, solve for y
\(\frac{6 + ( - 7)}{2} = \frac{ - 1}{2} = - 0.5\)
and we now know y = -0.5
point form (x,y) and you're all done !!
and this is why the answer is B. (0.5, -0.5)
Excision of benign lesions on chest, 0.4 cm, with simple closure.(CPT CODE??)
Excision of
benign lesions
on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.
The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a
surgical
procedure performed to remove a benign lesion, which is a tumor that is not
cancerous
.
The
excision
of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the
lesion
from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.
The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue
rearrangement
or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.
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what is an equation in point-slope form of the line that passes through (-5,-3) and has a slope of negative 1
Answer:
Y= -x-8
Step-by-step explanation:
Hope this helps
Answer:
y + 3 = - (x + 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b ) = (- 5, - 3 ) , then
y - (- 3) = - 1 (x - (- 5) ) , that is
y + 3 = - (x + 5)
Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?
Connect all six points on the circle.
Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.
Construct two diameters using the points where the arc intersects the circle and the center.
Connect the endpoints of the two diameters.
The one that is a step used in the construction of an equilateral triangle inscribed in a circle is:
B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter
How to construct an equilateral triangle?The steps to construct an equilateral triangle inscribed in a circle are:
1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.
2. Draw a perfect circle centered at point O using a compass.
3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".
5) Draw a second circle. The center of this circle is point W and the radius extends to point O.
6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".
7) Connect the points X, Y and Z with a ruler or straightedge.
Looking at the options, the only correct step is:
B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter
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Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house. What is the shortest distance between caroline’s and mattie’s houses?.
The shortest distance between Caroline's and Mattie's houses is 10 blocks .
In the question ,
it is given that,
Caroline leaves her house and walks 6 blocks ,
let the point where she starts be A , and the point where she ends be B .
So the distance AB = 6 blocks .
then she turns east and heads to 8 blocks to reach Mattie's house ,
let the point where she stops be C ,
So, the distance BC = 8 blocks ,
the shortest distance(AC) between Caroline and Mattie house can be calculated using the Pythagoras Theorem
AB + BC = AC
6 + 8 = AC
AC = 64 + 36
AC = 100
AC = 10
Therefore , The shortest distance between Caroline's and Mattie's houses is 10 blocks .
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what is the nearest tenth of 448,655.75, 4,478 and 27,591.769064
Answer:
The nearest tenths of 448,655.75, 4,478 and 27,591.769064 is 7
You need to hire an electrician to install new wiring in your house. Electrician A charges $75 plus 45 per hour. Electrician B charges $100 plus $40 per hour. (A). Write a system of equations for this situation. (B). For how many hours of work are the total costs the same for both electricians?
The equations take a linear form and are as follows; Part A.
Electrician A; c = 75 + 45h....eqn(1)Electrician B; c = 100 + 40h....eqn(2)Part B: It takes 5 Hours of work for the total costs to be the same.
The point at which the total costs are the same for both electricians is at;
75 + 45h = 100 + 40h45h - 40h = 100 - 755h = 25h = 5hours.
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PLEASE I NEED HELP ON THIS
Answer:
do 3.14 x 6
Step-by-step explanation:
Answer:
37.69911
Step-by-step explanation:
"the internet does not lie"-- home
ethan plants a 8-inch tomato plant in his garden. the plant grows by about 14% per week for several months. which formula represents the height h of the tomato plant (in inches) as a function of the time t in weeks since it was planted?
The formula that represents the height h of the tomato plant as a function of the time t in weeks since it was planted is h=8(1.14)^t inches.
The height of a plant is considered to be "h".
The increase percentage per week =14
Compound interest is the interest you earn on interest. This may be illustrated via way of means of the usage of primary math: in case you have $one hundred and it earns 5% interest every year, you may have $one hundred and five on the cease of the primary year. At the cease of the second one year, you may have $110.25.
Now,
h=8(1+r/100)^t
h=8(1+14/100)^t
h=8(114/100)^t
h=8(1.14)^t inches
Therefore, the formula that represents the height h of the tomato plant as a function of the time t in weeks since it was planted is h=8(1.14)^t inches.
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For a point to be a solution to a
system of inequalities, the point
must make_ of the
inequalities true.
Answer:
The signs.Step-by-step explanation:
For a point to be a solution to a system of inequalities, the points must make the signs of the inequalities true.
For example, the points must give results like 2<3 or 0>-2, these are true solutions. If the points gives 1>2, then that point is not a solution.
CORRECT ANSWER WILL GET BRAINLIEST AND 20 points
A business is using a catering company for an event. The catering company is offering three different meal options. The equation y = 8.50x + 45.00 can be used to predict
the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A
The company charges an initial fee of $8.50.
B
The company charges an initial fee of $45.00.
The cost increases by $8.50 for each person who attends the event.
The cost increases by $45.00 for each person who attends the event.
Answer:
The cost increases by $8.50 for each person who attends the event.
Step-by-step explanation:
The company charges an initial fee of $45.00
The cost increases by $8.50 for each person who attends the event.
The correct options are B and C
As per the given data:
The equation y = 8.50x + 45.00 can be used to predict the cost of the meals if x people attend the event.
By comparing this equation with the slope intercept form y = mx + c
slope(m) = 8.50
We can find out the initial fee charged by the company by substituting
x = 0 {zero people}
y = 8.50(0) + 45.00
y = $45.00
For increase in cost with each person attending the event:
Cost for 2 persons - Cost for 1 person
= 8.50(2) + 45.00 - [8.50(1) + 45.00]
= 8.50(2) - 8.50(1)
= $8.50
This is the slope of the line
Hence, The company charges an initial fee of $45.00 and the cost increases by $8.50 for each person who attends the event.
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PLS HELP ME! Joye has a circular garden with a diameter of 24 feet. If she uses 2 cups of fertilizer for every 10 square feet, how much fertilizer will Joye use for her garden? Use 3.14 for pi
Answer:
90.5 cups
Step-by-step explanation:
Step one:
Given data
diameter= 24ft
radius= 12 ft
area= πr^2
Area= 3.142*12^2
Area= 3.142*144
Area= 452.448 ft^2
Hence if
2 cups of fertilizer for every 10 square feet
x cups will do for 452.448 ft^2
cross multiply we have
x= 452.448 *2/10
x=904.896/10
x=90.5 cups
How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
At the grocery store, a big bag of candy costs $13.50 for a 5
pound bag. How much does it cost per pound?
Answer:
$2.70 Per Pound
Step-by-step explanation:
Help?? Ty!! for the help much love!!
PLS HELP ME! Convert the following graph into a table.
Step-by-step explanation:
(3,3)(2,1)(1,3)(0,3)Or the other way around
(0,3)
(1,3)
(2,1)
(3,3)
by the way this is a function because all the outputs have one input. Nothing is being shared.
Please help whoever answers this correctly, I will stop asking for help Triangle ABC with vertices A(-3,7), B(-3,5), and C(0,5), and triangle CDE with vertices C(0,5), D(0,1), and E(6,1) are slope triangles. Draw the triangles and the lines they present on a coordinate plane. Find the slope of the line. Then describe the relationship between the slope triangles and the slope of the line. Basically you just have to make a graph and plot the points then draw a triangle how it would look like when you plot it.
OTHER ONE WASNT 50. 50 POINTS AND BRAINLIST IF GET RIGHT
10 times
100 times
600 times
Or 1000 times
Answer:
600 im pretty sure
Step-by-step explanation:
Evaluate the expression when b= 7 and x = -3. -b + 4x
Answer:
-19
Step-by-step explanation:
-7+4×-3
-7-12
-19
Maybe it's correct
Here is another one y’all smart I’m not thanks for all your helppp people I don’t know.
Answer:
2
Step-by-step explanation:
rise 2 and then right 1
Answer
see this and answer your question by your own
Step-by-step explanation:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.