Answers
(a) Center is K (b) Radius is KI ,(c) Chord is KL,(d) Diameter is JKI,(e) Sectant is JL,(f) Tangent is GI,(g) Point of Tangency is H,(h) Minor Arc is JL,(i) Major Arc is HIJ,(j) Semicircle is HIL,(k) Center Angle is HKI,(l) Inscribed Angle is HIJ.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of the circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
As per the given circle,
(a)→ Center is at K
(b)→ Radius is at KI
(c)→ Chord is at KL
(d)→ Diameter is at JKI
(e)→ Sectant is at JL
(f)→ Tangent is at GI
(g) →Point of Tangency is at H
(h)→ Minor Arc is at JL
(i)→ Major Arc is at HIJ
(j)→ Semicircle is at HIL
(k)→ Center Angle is at HKI
(l) →Inscribed Angle is at HIJ
Hence "All parts of the circle have been shown above".
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Related Questions
Which congruency statement is correct based on the diagram?
O ¤PQN = ¤TSR
Ο ¤PQN = ¤STR
O ¤NQP = ¤STR
O ¤NQP = ¤RST
Answers
Answer:
pqn = str
it is option B
hope it helps
5x-2y=-20 and 5x-8y=-50 what is the ordered pair
Answers
Answer:
Solution Set: (-2,5)
Step-by-step explanation:
Two numbers have prime factors of 2, 3, 5, and 11 that they share. What is the greatest common factor of the two numbers?
Answers
Answer:
5
Step-by-step explanation:
If if Spencer spent a total of $704.00 in the month of July, which is the best estimate for the amount of money he spent on clothing?
Answers
Answer:
[tex]Clothing = \$190.0[/tex]
Step-by-step explanation:
Given [Missing details]
Spencer's expenses
[tex]Clothing = 27\%[/tex]
[tex]Gasoline = 11\%[/tex]
[tex]Food = 44\%[/tex]
[tex]Entertainment = 18\%[/tex]
[tex]Total= \$704.00[/tex]
Required:
An estimate for the amount spent on clothing
To do this, simply multiply the clothing percentage by the total amount.
[tex]Clothing = 27\% * \$704.00[/tex]
[tex]Clothing = 0.27 * \$704.00[/tex]
[tex]Clothing = \$190.08[/tex]
Approximate
[tex]Clothing = \$190.0[/tex]
1 point
At a cost of $200, your club bought 175 frisbees to sell at the pep rally. You plan on selling them for $5 each. Which of the following represents the profit function, P.
after selling a certain number of frisbees, f.
Answers
Answer:
p(f)=5f-200
Step-by-step explanation:
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what is the circumcentwr?
A (7.5,4.5)
B(4,2)
C(0,0)
Answers
Answer:
B
Step-by-step explanation:
Enter your answers in the boxes to correctly complete this statement. 6.184×105= because the number 105 has zeros when it is written without an exponent.+
Answers
Answer:
74.94×103= 3
because the number 10³ has
zeros when it is written without an exponent.
Step-by-step explanation:
74.94×103=
because the number 10³ has
zeros when it is written without an exponent.
3 zeros
Boards R' Us buys new skateboards for $79.85 and markups them up 25%.
Answers
Answer:
80.1
Step-by-step explanation:
25% = 1/4 (in fractions)
1/4 = 0.25
79.85+.25 = 80.1 or 80.10 [Eighty Dollars and Ten Cents.]
Answer:
99.82
Step-by-step explanation:
79.85*.25= 19.97.
79.95+19.97= 99.82.
what is the quotient of the polynomials shown below? (10x^3+16x^2+16)÷(2x+4)
Answers
Answer:
5x^2 - 2x + 4
Step-by-step explanation:
Can you plz help me with number one
Answers
Answer: C. 2
Step-by-step explanation:
Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y^ = 57.25 − 1.07x1 − 0.64x2
Answers
According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.
The regression equation provided is:
ŷ = 57.25 - 1.07x1 - 0.64x2
Where:
ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)
x1 represents the Thickness of Insulation (inches)
x2 represents the Outdoor Temperature (ºF)
Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).
The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.
The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.
The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.
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B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each
Answers
Answer:
$1,500
Step-by-step explanation:
Income - Expenses = Savings
Income = 2 × 10,000 = $20,000
Expenses = 3,500 + 10,000 + 5,000 = $18,500
$20,000 - $18,500 = $1,500 left for Savings
corresponding sides of similar triangles are 4cm and 3metres .What is the enlargement factor 'k'?
Answers
Answer:
[tex]k = 75[/tex]
Step-by-step explanation:
Given
Corresponding sides: 4cm and 3m
Required
Determine the enlargement factor
This is calculated as:
[tex]k = \frac{New}{Old}[/tex]
So:
[tex]k = \frac{3m}{4cm}[/tex]
Convert to cm
[tex]k = \frac{3*100cm}{4cm}[/tex]
[tex]k = \frac{300cm}{4cm}[/tex]
[tex]k = \frac{300}{4}[/tex]
[tex]k = 75[/tex]
na 5-day
a) in 1 hour
7. If you run a half marathon (21 km) in 2 hours 6 minutes, how
a) t
b) t
c)
does it take you to run one kilometre?
Answers
reason beacuse it just makes sense and i did this question before
How do you get infinitely many solution?
Answers
Answer: I’m
Step-by-step explanation: I’d not knkw
Due immediately!!!!! Please help!!!
Answers
Answer:
d. all real numbers
Step-by-step explanation:
the y will always be all real numbers
PLEASE SOMEONE HELP ME
Answers
Answer:
X=22
Step-by-step explanation:
90-68=22
Are the sets equivalent?
2) A = {17, 19, 21, 23, 25)
16.
B = {18, 20, 22, 24, 26}
Answers
Answer:
Step-by-step explanation:
number of elements in set A=5
number of elements in set B=5
so they are equivalent.
Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c > 0, what could be possible values of p and q?
a. p = 5, q = -8
b. p = -2, q = 6
c. p = -4, q = -7
d. p = -13, q = 1
Answers
p could be 5 and q could be 8 this is just my guess but i think its right
p = - 4, q = -7, or in other words with the given choices above, option C. I hope this helps : ) I was working on this assignment earlier; this was a tough question, but I figured it out. If this is the same assignment I am thinking of, it should be alright. :D
Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.
Statement A: the area of triangle GHL plus of triangle HIJ
Statement B: the area of triangle GHK plus the area triangle HIK
Statement C: the area of triangle GHK plus the area of triangle ILK
Statement D: the area of triangle GHK plus the area of triangle ILK
Answers
The statements to determine the area of the polygon by division into triangles are evaluated as follows;
Statement A: the area of triangle GHL plus of triangle HIJ --NoStatement B: the area of triangle GHK plus the area triangle HIK --YesStatement C: the area of triangle GHK plus the area of triangle ILK. --NoStatement D: the area of triangle GHK plus the area of triangle ILK. --NoPolygons and TrianglesFrom the given description;
The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.
Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.
Read more on Area of polygons;
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Which of the following numbers is a perfect square?
1 489
2 485
3 490
4 484
Answers
Answer:
3490 is the perfect square
Answer:
490 is the correct answer
Step-by-step explanation:
List the PROs and CONs of using coal as a power source.
Answers
Answer:
pros:Affordability,Known technologies,Safety.
cons:Greenhouse gas emissions,Mining destruction,Emission of harmful substances.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The pros of using coal as an energy souse is have alot of electicity and the con s of using coal as an energy souse is globlal warming, pollued air limited supply of coal in Earth
Pls Comment
Finding the area of a circle with a diameter of 6ft. Use the formula A=
πr2.
HELP!!!
Answers
Answer:
Step-by-step explanation:
If diameter is 6 then the radius is half of that or 3.
A = pi * r^2
A = pi * 3^2
A = 9pi ft^2
2.
Thomas drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?
Answers
Answer:
180
Explanation:
45*4=180
Answer:
I agree with the other answer- 45 x 4= 180 miles
1/4+9/14+5/7 in a simplify answer, or as a mixed number if possible.
Answers
Answer:
45/28
Step-by-step explanation:
Answer: 45/28 or 1 17/28
Step-by-step explanation: First find a common denominator for your fractions so you can express them in a similar way so;
1/4= 7/28
9/14= 18/28
5/7=20/28
(7+18+20)/28= 45/28
A farmers field has the dimensions 2 and 3/4 by 1 and 1/3. He needs to find the area of the field
Answers
Answer:
3 2/3 units²
Step-by-step explanation:
Since the field is rectangular in nature;
Area of the field = Length * Width
Given
Length = 2 3/4
Width = 1 1/3
Area of the field = 2 3/4 * 1 1/3
Area of the field = 11/4 * 4/3
Area of the field = 4/4 * 11/3
Area of the field = 1 * 11/3
Area of the field = 11/3
Area of the field = 3 2/3
Hence the area of the field is 3 2/3 units²
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
13 ft
Step-by-step explanation:
65/5
Answer:
13
Step-by-step explanation:
65÷5=13
Convert 3 pints into quarts.
Answers
Answer:
3 pints equals 1.5 liquid quarts
Step-by-step explanation:
You can use an online calculator or divide by 2!
Step-by-step explanation:
rrrerrrfjsjgzyxixpd7a
Which quadratic relation has a y-intercept of 8?
O y = 0.5(x + 2)(x + 4)
O y = 0.5 (x - 2)(+ 8)
O y = 0.5(x2 -2x - 16)
O y = 0.5 (x2 -2x + 16)
Answers
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.78.
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85. (Round your answers to two decimal places.)
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46? (Round your answer up to the nearest whole number.)
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence? (Round your answer up to the nearest whole number.)
Answers
Answer:
a) The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
b) The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
c) A sample size of 12 is needed.
d) A sample size of 125 is needed.
Step-by-step explanation:
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.78}{\sqrt{15}} = 0.39[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.39 = 4.46
The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.39 = 5.24
The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{0.78}{\sqrt{11}} = 0.55[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.56 - 0.55 = 4.01
The upper end of the interval is the sample mean added to M. So it is 4.56 + 0.55 = 5.11
The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46?
95% CI means that [tex]z = 1.96[/tex]
A sample of n is needed, and n is found when M = 0.46. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.46 = 1.96\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.46\sqrt{n} = 1.96*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.78}{0.46})^2[/tex]
[tex]n = 11.05[/tex]
Rounding up
A sample size of 12 is needed.
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence?
99% CI means that [tex]z = 2.575[/tex]
A sample of n is needed, and n is found when M = 0.18. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.18 = 2.575\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.18\sqrt{n} = 2.575*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.78}{0.18})^2[/tex]
[tex]n = 124.5[/tex]
Rounding up
A sample size of 125 is needed.