A circle with center F name the Radius:name a diameter:name a cord:If the Length of FE is 10 units, what is the Length of GJ? x units
Answers
(a) A radius is a segment that joins the center of a circle to a point on the circle
From the diagram, the radius is:
\(\bar{FE}\)(b) A diameter is a segment that passes through the center of the circle and joins two points on a circle.
From the diagram, the diameter is:
\(\bar{GJ}\)(c) A chord is a segment that does not pass through the center of the circle and joins two points on a circle.
From the diagram, the chord is:
\(\bar{HI}\)(d) The relation between the lengths of the radius and the diameter is:
\(\text{diameter = }2\cdot radius\)From items a and b:
\(\bar{GJ}=2\bar{FE}\)Substituting with FE = 10 units:
\(\begin{gathered} \bar{GJ}=2\cdot10 \\ \bar{GJ}=20\text{ units} \end{gathered}\)Related Questions
Energy is generated from solar and wind power. Solar power must be at most 6units/day or the panels will burn out. Wind must be strong enough to power 1 unit/ day or else the turbines won’t turn. The wind power must be less than twice the solar power less one, or the batteries wont charge properly. Find the optimal production of wind and solar that will maximize overall power output
Answers
Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.
What is more efficient wind or solar energy?Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.This proves that a single home wind turbine can generate more electricity than a number of solar panels.By the movement of air in relation to the Earth's surface, wind energy, a type of solar energy, is created.When the Earth's surface is heated unevenly by the Sun, this type of energy is created. The Earth's rotation and surface topography then alter this energy.Photovoltaic (PV) panels or solar radiation-concentrating mirrors are two ways that solar technologies turn sunlight into electrical energy.Electricity can be produced from this energy, which can also be used to store energy thermally or in batteries.To learn more about solar energy refer
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470 patrons showed up at the opening of a new movie. 20 patrons were turned away as the cinema with 18 rows of seats was filled to capacity. What was the average number of patrons in each row? Then management then arranges the seating area for the same capacity but in 15 rows instead. How many patrons will one row hold?
Answers
9514 1404 393
Answer:
25 seats per row in 18 rows30 seats per row in 15 rowsStep-by-step explanation:
The total number of seats is 470 -20 = 450.
The number of seats in a row is found by dividing seats by rows.
In 18 rows
450 seats/(18 rows) = 25 seats/row
In 15 rows
450 seats/(15 rows) = 30 seats/row
Answer:
Required Answer :-The total number of seats in the movie = 470 - 20 = 450
When 18 rows
450/18
25 patron
When 15 rows
450/15
30 patron
\( \\ \\ \)
In a paddock of goats and chickens, there are 67 heads and 166 legs. How many goats are there?
Answers
G + C = 67 (equation 1: the total number of goats and chickens is 67)
4G + 2C = 166 (equation 2: the total number of legs is 166)
We can solve this system of equations for G, which represents the number of goats in the paddock. To do this, we can use the substitution method.
From equation 1, we can solve for C:
C = 67 - G
Then, we can substitute this expression for C into equation 2 and solve for G:
4G + 2(67 - G) = 166
4G + 134 - 2G = 166
2G = 32
G = 16
Therefore, there are 16 goats in the paddock.
Need help asap will help u put
Answers
Answer:
1 , -3/2
Step-by-step explanation:
The denominator should be greater than 0 , so that ,
=> 2m² + m - 3 > 0
=> 2m² + 3m - 2m -3 > 0
=> m( 2m +3) -1 (2m+3) > 0
=> (m-1)(2m +3) > 0
=> m > 1 , -3/2
Hence it is not defined at -3/2 ,1
Find the area of a triangle if the base (b) is 12 inches and the height (h) is 18 in.
(a) 216 in. ²
(b) 12 in.²
(c) 43 in.²
(d) 108 in ²
Answers
The area of the triangle will be 108 square inches. Thus, the correct option is D.
Given that:
Height, h = 18 inches
Base, b = 12 inches
Area refers to the measurement of the extent or size of a two-dimensional surface, expressed in square units.
Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,
A = (1/2) × h·b
The area of the triangle is given as,
A = 1/2 x 12 x 18
A = 12 x 9
A = 108 square inches
Thus, the correct option is D.
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The vertices of quadrilateral PQRS are listed.
P(3,7). Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS?
O A.
Quadrilateral PQRS IS a parallelogram.
O B.
Quadrilateral PQRS is a rectangle.
• c.
Quadrilateral PQRS is a square.
• D.
Quadrilateral PQRS is a trapezoid.
Answers
Answer: O B. Quadrilateral PQRS is a rectangle.
Step-by-step explanation: The image should help you picture my answer. Good luck with your end of semester test!
Have a great day! :)
help. Set up an equation in use it to solve for X
Answers
Answer:
4x+3=83
-3:-3
-----------------
4x=80
x=20
Step-by-step explanation:
Solve the problem below:
6315*41=
Show your work
Answers
The value of 6315 ×41 is 260391.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We have to find the product of 6315 times of forty one
6351
× 41
_______
6351
25404+
__________
260391
Hence, the value of 6315 ×41 is 260391.
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1 ft. 3 in. Is what part of 1 yd? I need this please I don’t get how to solve it
Answers
HELPPP 22 POINTS
△FGH is translated left 5 units to form the image ∆F′G′H′.
What are the coordinates of the vertices of ∆F′G′H′ ?
Enter your answer by filling in the boxes.
F′ = ( , )
G′ = ( , )
H′ = ( , )
Answers
Answer:
F' : (-5,5)
G' : (0,5)
H' : (0,9)
Step-by-step explanation:
<33
Answer:
F = (-10,0)
G= (-5,0)
H= (-5,40
my explanation: We want to translate it to the left 5 units so if we move over the whole triangle 5 units to the left, this is your answer! Hope I could help. <3
Use Pascal's Triangle to expand (x^2-3y)^4
Answer
Answers
The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
What is Pascal's triangle?Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.
To expand the given expression (x²-3y)⁴ as per Pascal's triangle:
First, write down the fourth row of Pascal's Triangle as:
1 4 6 4 1
The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,
1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴
Simplify each term,
x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸
Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
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Demetri invested money in two different stocks. After one year, he received a letter that summarized the performance of the stocks graphically. Demetri observed that the growth of each stock was the same. image ac82f0aaed7f442f91fa183847b994fb Which equation shows the translation of the graph of stock B to that of stock A? vA(t)=vB(t)−50 vA(t)=vB(t)+50 vA(t)−vB(t)=50 vA(t)+vB(t)=50
Answers
Answer:
VA(t) =vB(t)-50
Step-by-step explanation:
Answer:A
Step-by-step explanation:
Vᴀ() = Vʙ () - 50
Use the graph to write an equation of the line. Use simplest fraction form when necessary.
Y=
Interpret the slope.
A The fuel decreases 30 gallons for every mile driven.
B The fuel decreases 12 gallons for every mile driven.
C The fuel decreases 1/12 gallon for every mile driven
D The fuel decreases
1/30 gallon for every mile driven.
Thank you I appreciate it
Answers
Review the information given based on a principal balance of $18,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850 12%
29
740-799 15%
33
670-739 18%
38
48
580-669 21%
300-579 28%
60
$20,160.00
$20,700.00
$21,240.00
$21,780.00
$23,040.00
Calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a
730 credit score. Round the final answer to the nearest tenth. (4 points)
O 20.0%
O 17.3%
O 19.5%
O 18.4%
Answers
Answer:
To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.
From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 15% * 33/12) = $20,700
Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 18% * 38/12) = $21,240
Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:
Percent increase = |(New value - Old value) / Old value| * 100%
Plugging in the values, we get:
Percent increase = |($21,240 - $20,700) / $20,700| * 100%
Percent increase = 2.6%
Rounding to the nearest tenth, we get the final answer as:
Percent increase = 2.6% ≈ 2.5% (rounded to the nearest tenth)
Therefore, the answer is O 2.5%.
Step-by-step explanation:
Help with the following equation 8x²-6x-5=x
Answers
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
How do you factor and simplify 4x^2+ 25
Answers
Answer:
(4x + 5)(4x + 5)
Step-by-step explanation:
4x * 4x = 4x^2, and 5 * 5 = 25. Thus being 4x^2 + 25
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals). a. The area to the left of is .
Answers
This question is incomplete, the complete question is;
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals)
a. The area to the left of z is 0.8
b. The area to the left of z is 0.882
c. The area to the right of z is 0.8225
(Hint: Enter the positive z-value)
Answer:
a) z = 0.84
b) z = 1.185
c) z = -0.925
Step-by-step explanation:
a)
area to the left of z is 0.8
Making use of the standard normal table
p( Z < z ) = 0.8
we check the the probability of 0.8 in the standard normal table
so the corresponding value of z is 0.84
p( Z < 0.84 ) = 0.8
z = 0.84
b)
area to the left of z is 0.882
Making use of the standard normal table
p( Z < z ) = 0.882
we check the the probability of 0.882 in the standard normal table
so the corresponding value of z is 1.185
p( Z < 1.185 ) = 0.882
z = 1.185
c)
area to the right of z is 0.8225
Making use of the standard normal table
p( Z > z ) = 0.8225
1 - p( Z < z ) = 0.8225
p( Z < z ) = 1 - 0.8225
p( Z < z ) = 0.1775
p( Z < -0.925 ) = 0.1775
z = -0.925
If csc(x) = 2, for 90° < x < 180°, then
sin(x/2)=
cos(x/2)=
tan(x/2)=
Answers
csc(x) = 2 = 1/sin(x)
Solving for sin(x), we get:
sin(x) = 1/2
Next, we can use the half-angle formulas to find the values of sin(x/2), cos(x/2), and tan(x/2):
sin(x/2) = ±√[(1 - cos(x))/2] = ±√[(1 - √(1 - sin^2(x)))/2] = ±√[(1 - √(1 - (1/2)^2))/2] = ±√[(1 - √3/2)/2] = ±√[(2 - √3)/4]
cos(x/2) = ±√[(1 + cos(x))/2] = ±√[(1 + √(1 - sin^2(x)))/2] = ±√[(1 + √(1 - (1/2)^2))/2] = ±√[(1 + √3/2)/2] = ±√[(2 + √3)/4]
tan(x/2) = sin(x/2)/cos(x/2) = [±√(2 - √3)]/[±√(2 + √3)] = (2 - √3)/(2 + √3) = (√3 - 1)/(√3 + 1)
Note that the plus or minus signs in the formulas for sin(x/2) and cos(x/2) depend on the quadrant in which x lies. Since we know that 90° < x < 180°, we can conclude that sin(x/2) and cos(x/2) are both negative. Therefore:
sin(x/2) = -√[(2 - √3)/4]
cos(x/2) = -√[(2 + √3)/4]
tan(x/2) = (√3 - 1)/(1 + √3)
The sum of two numbers is -27. The first number is one more than twice the second number
Answers
Answer: -9 1/3
Step-by-step explanation: 2x + 1 + x = -27
3x +1 = =-27
3x = -28
x = -9 1/3
The graph shows the distribution of the lengths (in seconds) of videos on a popular video-streaming site. The distribution is approximately Normal, with a mean of 264 seconds and a standard deviation of 75 seconds.
A graph titled Streaming Videos has length (seconds) on the x-axis, going from negative 36 to 564. The highest point of the curve is at 264.
What percentage of videos on the streaming site are between 264 and 489 seconds?
0.15%
49.85%
95%
99.7%
Answers
According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.
To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.
First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:
z1 = (264 - 264) / 75 = 0
z2 = (489 - 264) / 75 = 3
Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .
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Solve the following 2(x + 3) = x - 4
Answers
Answer:
x = - 10
Step-by-step explanation:
2(x + 3) = x - 4
==> distribute the 2
2x + 6 = x - 4
==> subtract 6 from both sides
2x = x - 10
==> subtract x from both sides
x = - 10
pls help meee!!!!!!!!
Answers
Answer:
\(\frac{1}{100} \)
Step-by-step explanation:
\(\frac{1}{10} *\frac{1}{10} \)
\(\frac{1*1}{10*10} \)
\(\frac{1}{100} \)
Select the correct answer
Vector v has its initial point at (7.-9) and its terminal point at (-17,4), Which unit vector is in the same direction as v?
Answers
Answer:
option c
Step-by-step explanation:
Find the perimeter and area of the shaded figure below
Answers
The perimeter of shaded figure is 10 unit.
We know,
The perimeter of a figure is the total distance around its boundary. To calculate the perimeter, you need to sum the lengths of all the sides of the figure.
From the figure
length of rectangle = 4 unit
width of rectangle = 1 unit
Now, the perimeter of shaded figure
= 2 (l + w)
= 2 (4 +1 )
= 2 x 5
= 10 unit
Thus, the perimeter of figure is 10 unit.
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What is the equation of the line shown in this graph?
Answers
Answer:
y = 1
Step-by-step explanation:
Will mark brainliest!!!solve for each variable
Answers
3j-5j=9
2j=9
j=4.5
k+10=6k [Diagonals of a rhombus bisect each other]
10=5k
k=2
Select all the expressions that are equivalent to (12 + x)10.5.
It’s multiple choice and these are the answers
10.5(12x)
(10.5 + 12 + x)
10.5(12 + x)
126x
126 + 10.5x
22.5 + x
Answers
126+10.5x
Step-By-Step:
Part B: What length of rope would enable the goat to eat 30 square yards of
grass? Show all your reasoning.
omg pls help
me
Answers
Refer to question: https://brainly.com/question/18999872
Answer:
9.42 yd²3.57 ydStep-by-step explanation:
Part AThe area of circle with radius of 2 yd (the length of the rope) is:
A = π*r² = 3.14*2² = 12.56 yd²Since 1/4 of the circle is occupied by the shed, the area of the grass is:
12.56*3/4 = 9.42 yd²Part BLet the area be 30 yd², finding the r as per above formula:
3/4*3.14*r² = 30r² = 30*4/3*3.14r² = 12.74r = √12.74r = 3.57 yd
in the figure, assume that angles that appear to be right angles are right angles.what is the area of the figure?use 3.14 for pi.the approximate area is ___ square units.
Answers
The figure is divided into a semi circle and a trapezium. Thus, the area of the figure would be the sum of the area of the semicircle and the trapezium
The formula for finding the arae of a semicircle is expressed as
Area = 1/2 x pi x radius^2
From the figure,
radius = 3
pi = 3.14
Area of semicircle = 1/2 x 3.14 x 3^2
Area of semicircle = 14.13
The formula for finding the arae of a trapezium is expressed as
Area = 1/2(a + b)h
where
a and b are the length of the top and bottom
h is the height
From the figure,
a = 8, b = 11, h = 6
Area = 1/2(8 + 11)6
Area = 1/2(19)6
Area of trapezium = 57
Thus, the area of the figure is
14.13 + 57
= 71.13
Rounding to the nearest whole number,
the approximate area is 71 square units
Which of the following is an extraneous solution of
√-3x-2=x+2
Answers
The option that is extraneous solution of
√-3x-2=x+2 is A. -6.
How to illustrate the information?From the information given, taking square both sides
-3x - 2 = (x + 3)²
On applying identity = a² + b² + 2ab
Then ,
-3x -2 = x² + 2² + 2 * 2 *x
-3x -2 = x² + 4 + 4x.
On adding both sides by 3x
-2 = x² + 4 + 4x + 3x
-2 = x² + 4 + 7x
On adding both sides by 2
0 = x² + 4 + 7x + 2
On switching sides
x² +7x + 6 = 0
On Factoring
x² +6x + x + 6 = 0
x ( x+ 6 ) +1 (x +6 ) = 0
On grouping
( x +1) ( x +6) = 0
x = -1, -6.
An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.
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Complete question
Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6