Answers
[tex]\bold{\huge{\underline{ Solution\: 2 }}}[/tex]
The name of the circle is IJKLThe name of central Angle[tex]\sf{\underline{= {\angle} IHJ }}[/tex]The name of the secant = KL[tex]{\bigstar}[/tex]Circle :- It is a round figures, which has no end points.
[tex]{\bigstar}[/tex] Central angle :- It the angle ,which lie in the middle of the circle.
Here, H is the mid point of the circle .So, Angle IHJ is the central angle.[tex]{\bigstar}[/tex] Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .
Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.[tex]\bold{\huge{\underline{ Solution\: 3 }}}[/tex]
Semicircle = FGH and FIH Minor Arc :- FG or GH Major Arc :- FHG or GFH[tex]{\bigstar}[/tex] Semicircle :- Semicircle is nothing but the half of the circle.
Here, In second diagram
FGH and FIH are acting as two semicircles which simulatineously forming one circle.[tex]{\bigstar}[/tex] Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.
Here,
FG or GH are the minor arc of the given circle.[tex]{\bigstar}[/tex] Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.
Here,
FHG or GFH is the major arc as it is larger than the semicircle of the given circle .Related Questions
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Write a division problem with 1/3 as the dividend and 3 as the divisor. Then find the quotient.
Answers
Answer:
1/9
Step-by-step explanation:
1/3 x 1/3 =1/9
so
1/3 divided by 1/3 is 1/9
Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. he then had a total of $19.75. let p represent the amount of money sam had in his pocket. which equation can you use to find the amount of money sam had in his pocket? how much money did sam have in his pocket?
Answers
Answer:
13.25$
Step-by-step explanation:
p+6.50=19.75
substract 6.50 on both side : p=13.25$
The total amount of money sam had in his pocket is $13.25.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. The total amount sam had was $19.75.
Here, let p represent the amount of money sam had in his pocket.
The equation formed
p + $6.50 = $19.75
p = $19.75 - $6.50
p = $13.25
Therefore, the total amount of money sam had in his pocket is $13.25.
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Alannah, Colin and Hannah visit the park and collect conkers and acorns.
In total they collect the same number of conkers and acorns.
Alannah, Colin and Hannah collect conkers in the ratio 4:7:9
Alannah, Colin and Hannah collect acorns in the ratio 3:1:5
(a) Did Hannah collect more conkers or acorns?
Answers
Hannah collected more acorns than conkers.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9
Total conkers = 4 + 7 + 9 = 20
Ratio of conkers collected by Hannah to total conkers = 9/20
Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5
Total acorns = 3 + 1 + 5 = 9
Ratio of acorns collected by Hannah to total acorns = 5/9
LCM (9, 20) = 180
9/20 = (9 × 9) / (20 × 9) = 81/180
5/9 = (5 × 20) / (9 × 20) = 100/180
Hence Hannah collected more acorns than conkers.
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what two numbers add up two 40 but multiply to get 100
Answers
The two numbers are illustrations of system of equations
The two numbers are 2.7 and 37.3
How to determine the two numbers?Let the numbers be x and y.
So, we have the following equations
x + y = 40
xy = 100
To determine the value of the variables, we simply plot the graph of both equations
From the graph, we have the following result
(x,y) = (2.7, 37.3)
Hence, the two numbers are 2.7 and 37.3
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You have to flip a fair coin until you get three heads in a row or three tails in a row, what are the odds it takes more thn 10 flips to do so?
(It is not 12.5% please don't answer that)
Answers
Answer:
25 percent
Step-by-step explanation:
melanie and patrick have different phone services. the relationship of the monthly cost, y dollars, to send or receive x text messages, is a linear function. the cost of patricks texting is described by y = 0.03x + 5. the cost of melanies texting is shown in the table
Answers
Answer:
Melanie: y = 0.25x
Patrick: y = 0.03x + 5
Patrick's service is cheaper when 50 texts are sent or received in one month.
Step-by-step explanation:
Let's find out Melanie's monthly texting cost function using the table. We are given multiple points that the line describing her monthly text costs passes through, so we can use the slope formula to calculate the slope of this line first.
m = (y2 - y1) / (x2 - x1)Substitute (5, 1.25) and (10, 2.50) into this formula.
m = (2.5 - 1.25) / (10 - 5)m = 1.25 / 5 m = 0.25Now we can use the point-slope equation to determine the line that describes Melanie's monthly texting cost.
I'm going to use the point (5, 1.25) and the slope m = 0.25.
y - y1 = m(x - x1)y - 1.25 = 0.25(x - 5)y - 1.25 = 0.25x - 1.25 y = 0.25xWe have Melanie's function:
y = 0.25xWe have Patrick's function:
y = 0.03x + 5
We want to determine which service is cheaper when 50 texts are sent/received in one month.
The number of texts sent and received is represented with the variable "x", and the cost of this service is represented with the variable "y".
All we need to do is substitute 50 for x in both equations to see if Melanie or Patrick's service is cheaper.
Starting with Melanie:
y = 0.25x y = 0.25(50)y = 12.50Now with Patrick:
y = 0.03x + 5 y = 0.03(50) + 5y = 1.5 + 5 y = 6.5Patrick's service is substantially cheaper than Melanie's service when 50 texts are sent or received in one month.
If the circumference of a circle is 220 cm, find its diameter and area
please correct answer
Answers
Step-by-step explanation:
C = 2 Pi R = 220
R = 220 / 2 pi = 35 cm
diameter = 35 x 2 = 70 cm
Area = pi r² = pi 35² = 3848.45 cm
y = -3x + 13
y = -x + 1
solve by substitution
Answers
Answer:
x = 6
y = -5
Explanation:
y = -3x + 13 y = -x + 1substitute each of the following,
-3x + 13 = -x + 1
-3x + x = 1 - 13
-2x = -12
x = 6
Find y,
y = -x + 1
y = -6 + 1
y = -5
Step-by-step explanation:
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Two sides of a parallelogram are 110 feet and 850 feet. The measure of the angle between these sides is 157 Find the area of the parallelogram to the nearest square foot.
Answers
Answer: 36533
Step-by-step explanation:
help would be appreciated
Answers
Answer:
The answer is C 33.75 inches
Step-by-step explanation:
look at the explanation photo
Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 contains 5 fewer gigantic rats than parisian sewer #3. if there are 56 gigantic rats in all three sewers combined, how many rats are in sewer #1?
Answers
There are different kinds of math problem. There will be 11 rats in sewer #1.
What are word problem?The term word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.
Lets take
sewer #1 = a
sewer #2 = b
sewer #3 = c
Note that A=B-9
So then you would have:
A=B-9
B=C- 5
A+B+C=56
Then you have to do a substitution so as to find C:
(B- 9) + (C-5) + C = 56
{ (C- 5)-9} + (C-5) + C = 56
3C - 19 = 56
3C = 75
B = C- 5
B = 25 - 5
Therefore, B = 20
A = B - 9
= 25 - 9
=11
Therefore, there are are 11 rats in sewer #1
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What is the area of the object
Answers
Answer:
C. 189 square centimeters
Step-by-step explanation:
Area of a Square/Rectangle is base x height
= 7 X 7 = 49
Area of a triangle = 1/2 Base X Height
= 1/2 X 7 X 10
= 35
There are 4 triangles
35 X 4 = 140
140 + 49 = 189
= 189cm^2
Answer: C. 189 cm²
Step-by-step explanation:
A rectangle/square is solved for with A = L * W.
The middle square has a (surface) area of:
7 * 7 = 49 cm²
We then have four triangles. These are solved for with [tex]\frac{B*H}{2}[/tex]. Since all four are congruent, I will multiply one of them by 4.
The triangles have a total (surface) area of:
10 * 7 = 70
70 / 2 = 35
35 * 4 = 140 cm²
Lastly, we will add the two totals together.
140 cm² + 49 cm² = 189 cm²
The object has a surface area of C. 189 cm².
Translate the sentence into an inequality.
The sum of 6 and w is less than -21.
Answers
Casey wanted to find the intercepts of the graph of the equation 10x+4y=20. He decided to put the equation in slope-intercept form first. Here is his work:
10x+4y=20
4y=20−10x
y=20−10x4
y=5−10x
He concluded that the slope is m=12 and the y-intercept is (0, 5).
What error did Casey make? Within your explanation, give the correct solved for y equation, the correct slope, and the correct y-intercept.
Answers
Answer:
made a mistake in step 3
Step-by-step explanation:
there, he should have gotten y=5-2x which is then translated to y=-2x+5
this means the y-intercept is correct, but the slope is actually -2
Can anyone solve this correctly?
Answers
Answer:
24 cm³
Step-by-step explanation:
The volume of a triangular prism with triangular face 4 cm by 2 cm and height 6 cm is the product of the triangle area and the prism height:
V = BH
V = ((1/2)bh)H = 1/2(2 cm)(4 cm)(6 cm) = 24 cm³
The volume of the prism is 24 cubic centimeters.
_____
Additional comment
Note that this is half the volume of a rectangular prism of the same dimensions.
Why is x^2+9 not able to be factored?
Answers
The expression x^2 + 9 is an algebraic expression
x^2 + 9 cannot be factored because it is not a difference of two squares
How to determine why the expression cannot be factored?The expression is given as:
x^2 + 9
Express 9 as the square of 3
x^2 + 3^2
The above expression is not a difference of two squares
Hence, x^2 + 9 cannot be factored because it is not a difference of two squares
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When you have coordinates of two points A(1, 2) and B(2,6) slope is:
Answers
Answer: 4
Step-by-step explanation:
Select the equivalent expression.
-3
24)
(9) 9
=?
62
Answers
Answer:
Step-by-step explanation:
???? Could you verify the question please?
Solve for value and variable. Be sure to write a proportion
Please give full explanation that would be helpful.
Answers
Answer:
Step-by-step explanation:
Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.
[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]
8*(x + 12) = 22*5
8x + 8*12 = 110
8x + 96 = 110
8x = 110 - 96
8x = 14
x = 14/8
x = 1.75
A
the angle of elevation from point a to the top of a hill is 499.
if point a is 400 feet from the base of the hill, how high is
the hill?
a4
49
Answers
Answer:
899 ft
Step-by-step explanation:
if point a is 400 feet from the base and 499 feet away from the top you would need to add 400+499 together to get 899
The area of a rectangle is given by the expression, A = 4x2 + 9x + 2 where the width is x +2. Find an expression for the length of the rectangle. Show all steps.
Answers
Answer:
4x+1
Step-by-step explanation:
1) to find the required expression for the length:
length=area/width;
2) according to the formula above:
[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]
X= 15+yx+2y =51solve the system using elimination
Answers
Answer:
Im not going to give u an answer, but i will help u get the answer.
Step-by-step explanation:
there is a algebra problem solver called symbolab it really helps
Each patron can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?
Answers
Answer:
Your answer would be:
3,384 books are left in the library
If each patron has 6 books, and there are 564 patrons:
564 x 6 = 3,384 books left
In conclusion, there are 3,384 books left in the library.
Step-by-step explanation:
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The measure of central tendency most influenced by outliers is the ______. A. Mode b. Median c. Mean d. Variance
Answers
A vase is in the shape of a rectangular prism. It has a base area of 40
square inches and a height of 10 inches. The vase is filled to the top with
water and emptied into a fish tank. The fish tank is also shaped like a
rectangular prism. How much more water would be needed to fill the fish
tank to the top?
Answers
Answer:
40/10
Step-by-step explanation:
The amount of water needed to fill the fish tank to the top is 400 inch³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
Let the volume of the fish tank be = V
Let the base area of the rectangle be A = 40 inch²
Let the height h of the rectangle be h = 10 inches
Now , the volume of the vase = volume of fish tank
So , the volume of fish tank is calculated from the formula,
Volume of fish tank = base area of the rectangle x height h of the rectangle
Substituting the values in the equation , we get
Volume of fish tank = 40 x 10 inch³
On simplifying the equation , we get
Volume of fish tank = 400 inch³
Therefore , the value of V is 400 inch³
Hence ,
The amount of water needed to fill the fish tank to the top is 400 inch³
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The number 175 is 25% of what number?
Answers
Answer:
700
Step-by-step explanation:
If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.
To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25
When we put that into our calculator, we get the following answer:
700
Answer: 700
Step-by-step explanation:
175 * 4 = 700
700 / 4 = 175
Classify the following triangle. The
O A. Scalene
O B. Equilateral
C. Isosceles
D. Acute
O E Right
O F. Obtuse
Answers
Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.
Equilateral triangle: An equilateral triangle is a triangle in which all three sides have the same length.
Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.
Acute Triangle: An acute triangle is a triangle with three acute angles.
Right Triangle: A triangle in which one of the interior angles is 90° is called a right triangle.
Obtuse Triangle: An obtuse triangle is a triangle with one obtuse angle and two acute angles.
What is the average rate of change for the table and graph below over the interval [0,3]?
Answers
Answer:
-2
Step-by-step explanation:
The average rate of change is the slope using the points (0, 10) and (3, 4). The slope is found using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-10}{3-0}= \frac{-6}{3}=-2[/tex]
if a pyramid 20yd,18yd,18yd what is the surface area
Answers
15YD
Step-by-step explanation:
Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".
Answers
Answer: The answer is ASA I got it right
Step-by-step explanation:
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