Answer:
[tex]9.59[/tex] ft
Step-by-step explanation:
[tex]\frac{211}{11}[/tex]
[tex]= 19.181818\\multiply\\by\\0.5\\= 9.59[/tex]
In 2017 the Hindu festival of Diwali occurred on Thursday, 19 October. What fraction of the year was this
The Diwali occurred on 0.408 or 40.8% of the year in 2017.
To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.
Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.
There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.
So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408
So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.
Therefore, Diwali occurred on 0.408 or 40.8%
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Please help I'll give brainliest! This is number 6
Answer:
< 1 = 125 degrees
< 2 = 55 degrees
< 3 = 125 degrees
< 4 = 55 degrees
< 5 = 125 degrees
< 6 = 55 degrees
< 7 = 125 degrees (given)
< 8 = 55 degrees
Step-by-step explanation:
1 and 3 are equal because they are vertical angles, therefore proving their congruence.
7 and 1 are equal because they're alternate exterior angles, which are congruent.
2 and 4 are vertical, which is congruent.
5 and 7 are vertical.
6 and 8 are vertical.
Thirty people are waiting in line at the cinema. Alex counts 13 people in front of him. Gina counts 21 people between her and Dana. What is the least possible number of people between Dana and Alex
Alex is standing somewhere in between Gina and Dana. Thus, the least possible number of people between Dana and Alex are:
20.
What is the number line called?In advanced mathematics, the number line can be called as a real line or real number line, formally defined as the set R of all real numbers, viewed as a geometric space, namely the Euclidean space of dimension one.
Why is number line important?A number line is useful because it acts as a visual math aid. It can support teachers and parents as they teach children how to count and write numbers. It's also a tool that can help build understanding behind adding, subtracting, multiplying, and dividing numbers.
Let's assume that Gina is standing on first number while Dana on the last. Hence the total number of people in the line are: n= 23.Alex is standing somewhere in between Gina and Dana. Thus, the least possible number of people between Dana and Alex are: (n-2) = 20.
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For each set of three lengths determine if they can be the side lengths of a triangle
Answer:
1) Yes
2) No
3) Yes
4) Yes
Step-by-step explanation:
Remember the rule: the sum of the two shortest sides must be bigger than the longest side. From there, the answers should be obvious. Just add up the smallest sides for each triplet of lengths and see if that is bigger than the largest side.
7 + 14 > 18, therefore this can be a triangle
3 + 8 < 17, therefore this can't be a triangle
3.2 + 9.0 > 11.5, therefore this can be a triangle
6 + 7 > 8, therefore this can be a triangle
help me i need help helppppppppppppppp
Answer:
You have to draw a graph.
Step-by-step explanation:
Multiply all of your sides together to figure out the area then plot the points.
At what ordered pair will the function
f ( x ) = √ x + 2 - 2
begin on the coordinate plane?
( ? , ?)
Answer:(-2,-2)
Step-by-step explanation:
The radical has a value of 0 when x = -2. At that point, the function value is ...
f(-2) = √(-(-2)-2) -2 = √(0) -2
f(-2) = -2
What is the length of
AB
You joined an online coupon club. You earned 100 bonus points just by signing up. Each month you use the site, you earn another 10 points. Which equation best models the points you can earn?
A. Total Points = 10 • Months
B. Total Points = 10 • Months – 100
C. Total Points = 10 • Months + 100
D. Total Points = 100 • Months + 10
Answer:
C. Total Points = 10 • Months + 100
in the monthly payment formula M=Pr(1+r)n/(1+r)n-1, for r if the interest rate is 6.9%
Answer:
0.00525
Step-by-step explanation:
The value that would be put for rate (r) is, 0.069
What are simple and compound interests?Simple interest is often a predetermined percentage of the principal amount borrowed or lent paid or received over a specific time period.
Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The present value monthly payment formula is as follows,
M = (Pr(1 + r)ⁿ)/(1 - r) - 1
Where,
P is the Present Value.
r is the interest rate.
n is the number of times compounded.
Now that we know the interest rate is 6.9%, we can put that in our text., r = 6.9/100 = 0.069
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The equation C = 30x+120 represents the cost of producing gaming chairs. The equation R = 50x represents the revenue generated by selling gaming chairs, find the company's break-even point on the gaming chairs(How many chairs must be sold for the company to break even?)
Answer:
6 chairs
Step-by-step explanation:
The break even Point on gaming chairs can be expressed as :
Revenue = Cost
Revenue, R = 50x
Cost, C = 30x + 120
R = C
50x = 30x + 120
50 - 30x = 120
20x = 120
Divide both sides by 20
20x/ 20 = 120 / 20
x = 6
Hence, 6 chairs must be sold for the company to break even.
a 96 ounce container of juice cost 4.80. at what price should a 128 container be sold, in order for the unit rate for both items to be the same
Response is $6.40, a proportion is the relationship or equivalence between two ratios or fractions.
Is a proportion the same as a percentage?While the denominator of a percentage is always 100, a proportion is the relationship or equivalence between two ratios or fractions. Both proportion and percentage can be expressed as fractions.
A percentage is an equation in which two ratios are made equal to one another.
Out of a possible 100, the percentage is given.
Because 32 ounces is the difference between 128 and 96, making it 1/3 of 96, we can divide $4.80 by 3 to get $1.60, then add $1.60 to $4.80 to get $6.40.
Response is $6.40, a proportion is the relationship or equivalence between two ratios or fractions.
The complete question is,
It cost $4.80 for a 96-ounce bottle of orange juice. How much should be charged for a 128-ounce container in order to equalize the unit rates of the two sizes? Describe your thought process.
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24,000 at 5 5% for 5 years
Answer:660,000
Step-by-step explanation:
principle= 24,000
rate=5.5%
time = 5years
simple interest= P×R×T
. =24000×5.5×5
. = 660,000
I need help please I dont understand
Answer:
u can use formula whole root ,( x2-x1)²+(y2-y1)²
hope it helps...
Answer:
7.8 (1.d.p) or √61
Step-by-step explanation:
To solve this question we must use Pythagoras (a²+b²=c²)
Imagine that the line given is the hypotenuse (the longest side of a right-angled triangle) of a right-angled triangle and the other sides as a line from B going to the right, and a line from A going downwards (making the final vertexes for the triangle at coordinates: (3,2), which is B, (9,7), which is A, (9,2), which is the vertex the 2 imaginary lines we added, created) So now we use Pythagoras to find the length of the hypotenuse:
9-3=6 (subtracting the xs of vertexes A and B to find the length of the imaginary line we extended from B) and
7-2=5 (subtracting the ys of vertexes A and B to find the length of the imaginary line we extended from A)
Now to put them into Pythagoras's formula:
6²+5²=c² ⇒ 36+25=c² ⇒ √36+25=c ⇒ √61 = c ⇒ c = 7.8102....
Which can be rounded to 7.8 (as the third digit, the 1, rounds down.
Solve for x in this triangle. Round your answer to the nearest tenth. 15 42° X
Answer:
x ≈ 47.0°
Step-by-step explanation:
using the cosine ratio in the right triangle.
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{22}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{15}{22}[/tex] ) ≈ 47.0° ( to the nearest tenth )
Why is it called a 45 45 90 triangle?
A right triangle with congruent legs and acute angles is an Isosceles Right Triangle.
A special right triangle is a right triangle that has a consistent characteristic that facilitates calculations on the triangle or for which straightforward formulas are available.
Angles in a right triangle, for instance, might create straightforward connections like 45°-45°-90°. An "angle-based" right triangle is what this is. When the side lengths of a right triangle form ratios of whole numbers, such as 3:4:5, or other unusual numbers, like the golden ratio, the triangle is said to be "side-based."
Without using more complex techniques, one can rapidly determine different lengths in geometric problems by understanding the relationships between the angles or side ratios of certain particular right triangles.
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How many times and how many ounces should I feed my goat if it is 7 pounds and I feed it 3 times a day
Since you're feeding it three times a day, you should feed your goat 0.74 ounces per feeding.
What is feeding?The act of feeding involves giving a baby a mother's breast milk, either directly from the breast or by expressing (pump-out) the milk from the breast and giving it to the baby in a bottle.
Define Ounces and Pounding.In the traditional method of measurement, a pound is used to measure weight. In the conventional system, ounces are smaller weight units that are defined in terms of pounds. 1 pound Equals 16 ounces.
Goats typically need around 2% to 4% of their body weight in feed per day. If your goat weighs 7 pounds, and you want to feed it 2% of its body weight per day, you would need to feed it 0.14 pounds of food per day, or 2.24 ounces per day. Since you're feeding it three times a day, you should feed it 0.74 ounces per feeding.
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what is the amplitude of y=4 sin 1/3 x
Answer:
4
Step-by-step explanation:
The amplitude of the sin graph is 4. Sin graphs are written as [tex]y=A sin(B(x-D))+C[/tex] where A is the amplitude. In the equation above 4 is multiplied in front of sin, which shows it is the amplitude. Since 4 is the amplitude the graph will have a range of [-4,4].
Help me please, worth 20 points
Answer:
11.5
Step-by-step explanation:
In the diagram, line m is parallel to line n.
What is the measure, in degrees, of angle ABC?
Answer:
m∠ABC = 55°
Step-by-step explanation:
m∠BAC = 50° because ∡BAC ≅ ∡DCA
since there are 180° in ΔABC the m∠ABC = 180-(75+50) which equals 55°
HELP DUE IN 15 MINS!
Quadrilateral ABCD has vertices A(1, 3), B(2, 0), C(5, 1), and D(4, 4). Find the lengths and slopes of the diagonals. Then classify ABCD. Round answers to the nearest tenth.
1. Length of AC =??
2. Length of DB =??
3. Slope of AC =??
4. Slope of DB =??
5. Classification: Rhombus, Trapezoid, Parallelogram, Isosceles Trapezoid, Rectangle, Kite, Square.
Answer:
Length of AC = 4.5
Length of DB = 4.5
Slope of AC = [tex]-\frac{1}{2}[/tex]
Slope of DB = 2
Classification: Square
Hope this helps!
solve for x. assuming that lines which appear tangent are tangent
Answer:
x=10
Step-by-step explanation:
a^2=b(b+c)
12^2=8(8+x)
144=64+8x
-64 -64
______
80=8x
x=10
Which shows the list above in order from LEAST to GREATEST
I’ll mark brainlist : )
A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original
In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.
In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20. 20 students attended the fair, total. Group age = 0 to 16
This age range is located in the histogram's first interval, which is 0–19. The graph for the pie eating competition would remain the same if all 20 pupils had participated in the hay bale toss, with the bar representing 0–19 rising from 40 to 60.
The graph of the Hay Bale Toss would remain same if all 20 pupils had participated in the Pie Eating Contest, increasing the bar of 0-19 from 20 to 40.
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O. Test Practice Alaska has the longest coastline in the United States. Traveling at 62 miles per hour, how many hours would it take to travel along the Pacific Coast? A 17 hours B 89 hours 90 hours D 100 hours Alaska Coastline Coast Pacific Arctic Miles 5,580 1,060
Answer:
17
Step-by-step explanation:
Given: 3ab = 7ad and 3ac = 7ae prove: δabc ~ δade triangles a b c and a e d are connected at point a. complete the steps of the proof. ♣: ♦:
The given problem has been proved below using the rules of Congruence.
The given problem can be solved easily if we apply the basic rules of Congruence on the question properly as they are required. Congruence is when two given figures have the same shape and size.
Given that,
3AB=7AD
3AC=7AE
So, by re-arranging them we get the same ratio that is,
AB/AD=7/3
AC/AE=7/3
Hence, we can conclude that,
AB/AD=AC/AE
Also, we can show that ∠BAC and ∠DAE by the property of vertical angles.
But ∠BAC ≌ ∠DAE is also true by the vertical angle theorem in this diagram.
So, SAS property ∆ABC~∆ADE is proved in the end.
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Julie wants to check out a book from her local library, but it is not available. Julie decides to visit the library in Lanberry, 15 kilometers away, to see if that location has a copy of the book. On a map, the two libraries are 25 centimeters apart. What is the scale of the map?
The easiest way to find this is to use the library's catalog. Depending on the integrated library system (or ILS) the library subscribes to, the process might be slightly different. Generally, you can use a catalog system on a computer to search by title, author, subject, and more.
Sarah ran 3,682 m yesterday on the track at her school. One time around the track is 263 m. Sarah wants to run 4,222 m today. Which number sentence can be used to calculate how many laps around the track Sarah should run today?
The total number of laps Sarah should run today is given by the equation A = 16 laps
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps be represented as A
Now , the equation will be
The total distance ran by Sarah yesterday = 3,682 m
The distance of one lap = 263 m
So , the number of laps ran by Sarah yesterday = total distance ran by Sarah yesterday / distance of one lap
Substituting the values in the equation , we get
The number of laps ran by Sarah yesterday = 3682 / 263
The number of laps ran by Sarah yesterday = 14 laps
Now ,
The distance Sarah wants to run today = 4,222 m
So , the number of laps Sarah should run today A = distance Sarah wants to run today / distance of one lap
Substituting the values in the equation , we get
The number of laps Sarah should run today A = 4,222 / 263
The number of laps Sarah should run today A = 16.05 laps
The number of laps Sarah should run today A = 16 laps
Therefore , the value of A is 16 laps
Hence , the number of laps is 16 laps
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an elargemnet or expansion occurs when the absolute value of the scale factor is less than one true or false
Yes the statement is true.
What are scale factors in Dilation?An object is enlarged if the scale factor is greater than 1. An object is reduced if the scale factor is a fraction, less than 1. A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of a dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Given here Absolute value of the scale factor is greater than 1
∴ The object is enlarged if the scale factor is greater than 1.
Hence, Yes the statement is true.
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Help aspp please thank you show ur work if you like
Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.
What is speed?Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.
Speed = Distance/Time
55 = Distance/9
Distance = 495 miles
When speed is 70 mph:
70 = 495/Time
Time = 495/70
Time = 7 hours and 12 minutes
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Solve for x: ax2 - 2ax + (a + 1) = 0
Answer
x=a 1/2+i / a 1/2
Step-by-step explanation: