Answer:
97 degrees
Step-by-step explanation:
supplementary angles are 2 angles that add up to 180 degrees
so
180- 83 = 97
\(\boxed{\sf 97~degrees}\boxed{explanation~below}\)
\(\sf Given~\angle F = 83deg.\)\(\sf Supplementary~angles~add~up~to~180deg.~so~subtract~\angle F~by~180\)\(\sf 180 - 83 = 97deg.\)
HELLLPPPPPPPPPPPPPPPPPP PRETTY PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
1. No, it's nonproportional
2. Yes, it's proportional
-4.25.(3/10 plus 1/5)
Answer: 5/10 or 1/2 or .5 for fractions multiplied by = -2.125 as decimal
Step-by-step explanation:
pls mark brainlist
Answer:
5/10 or 1/2 or .5 for fractions multiplied by =-2.
factor completely using distributive law -14-(-8)
Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.
Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.
So the expression becomes:
-14 + 8
To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:
(-14) + (8) = -14 * 1 + (-14) * 8
This can be simplified as:
-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)
Finally, we can add the two negative numbers to get the result:
-14 + (-112) = -126
Therefore, the expression -14 - (-8) factors completely as -126.
An 8-sided number cube is rolled 4000 times. The number 2 appeared 200 times. Determine the theoretical and experimental probability of rolling a 2 in order to determine the fairness of the number cube. Drag values or words to the boxes to correctly complete the statements.
Theoretical Probability of rolling a 2= 1/20
Experimental Probability of rolling a 2 = 1/20
Theoretical probability of rolling a 2:
The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:
Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20
Experimental probability of rolling a 2:
The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the event is rolling a 2, which occurred 200 times out of 4000 rolls.
Therefore, the experimental probability of rolling a 2 is:
Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20
Comparing theoretical and experimental probability:
If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.
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Alice and Bob each have a certain amount of money. If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. If, on the other hand, she gives n dollars to Bob, then she will have 2 times as much money as Bob. If neither gives the other any money, what is the ratio of the amount of money Alice has to the amount Bob has?
The ratio of the amount of money Alice has to the amount Bob has is approximately 3.36 : 1.
How to find the ratio of money ?According to the problem, two equations can be set up:
If Alice receives n dollars from Bob, then she will have 7 times as much money as Bob. This gives us the equation:
A + n = 7(B - n)
If Alice gives n dollars to Bob, then she will have 2 times as much money as Bob. This gives us the second equation:
A - n = 2(B + n)
We can rearrange these equations to make them easier to solve:
8n = 7B - A
3n = A - 2B
Setting these equal to each other, since they are both equal to 24n, gives:
21B - 3A = 8A - 16B
37B = 11A
A / B = 37 / 11
= 3. 36
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Find the measure of ∠3.
This is a kite due to the adjacent congruent sides (shown by the tickmarks). With any kite, the diagonals are perpendicular. So angle 3 is 90 degrees.
Answer: 90 degrees4x² when x = 5/6 and 1/2
if x² = 64, then 1/3 + x⁰
Answer:
4/3 or 1 1/3
Step-by-step explanation:
Finding x
x² = 64x = ±8Substitute in the equation
1/3 + (±8)⁰1/3 + 14/3 or 1 1/3Answer:
\(\huge\boxed{\bf\:\frac{4}{3} }\)
Step-by-step explanation:
If, \(x^{2} = 64\), then,
\(x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8\)
Now, remember that any number when folllowed by exponent 0 will always have its value as 1.
Then,
\(\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }\)
\(\rule{150pt}{2pt}\)
John took a 5 1/2 mile walk at his friend's house. He left at 11 am and arrived at his friend's house at 1pm what was his average speed of walking?
Answer:
2¾miles/hour or 2.75 miles/hour
Step-by-step explanation:
average speed = total distance ÷ total time
total time= 2 hours
therefore his average speed= 5½ mile ÷ 2 hours
= 2¾ miles/hour
b) How many times would you expect the
spinner to land on a shaded section if it were
spun 40 times?
The number of times the spinner lands on a shaded section are 8 times.
What is the probability?
Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true.
We have,
2 Shaded sections are on a spinner,
8 unshaded sections are on a spinner,
10 total sections are on a spinner,
Therefore,
The probability of the spinner to land on a shaded section:
P = 2 ÷ 10 = 1 ÷ 5
consider x, the number of times the spinner lands on a shaded section.
If the spinner were spun 40 times:
so, \(\frac{x}{40} = \frac{1}{5}\)
By cross multiplying we get,
5x = 40
x = 8
Hence, the number of times the spinner lands on a shaded section are 8 times.
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Find the point-slope equation of the line contains (-2,-3) and having slope m=4
Answer:
y + 3 = 4 x (x + 2)
Step-by-step explanation:
point slope formula is y-y1 = m(x-x1)
slope intercept form is y = 4x + 5
y=mx +b
m=4
Part B : The data science team also seeks to understand the impact on customer loyalty with respect to another type of cancellation: traveler cancellations. The repeat booking rate for owner cancellations is 20%; for traveler cancellations, 28%; and no cancellation, 36%. If the overall repeat booking rate is 34%, and the probability of an owner cancellation is 8%, what is the probability of a traveler cancellation
Answer: 0.28 or 28%
Step-by-step explanation:
We know that the probability of an event is the likelihood of that event occurring.
It is already given that, the percentage of traveler cancellations =28% which is determining the chances of traveler cancellations.
That means, the probability of a traveler cancellation= 28%
In decimal , the required probability = 0.28 [To convert % to decimal, we divide it by 100]
Hence, the probability of a traveler cancellation = 0.28 or 28%
What is the volume, to the nearest whole cubic inch, of a cylinder with a height of 10 inches and a radius of 8 inches? Use
* = 3.14 and round your answer to the whole number.
cubic inches
Answer:
2,009.6 inches³
Step-by-step explanation:
The formula for the volume of a cylinder:
V = πr²h
Let's substitute into the given equation:
V = πr²h
V = (3.14)(8²)(10)
Solve:
V = (3.14)(8²)(10)
V = (3.14)(64)(10)
V = (200.96)(10)
V = 2,009.6
Therefore, the volume of the cylinder is 2,009.6 cubic inches.
Can you please tell me the sum of the question
Answer:
B) \(4i\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)
The top tree broke and fell over.the remaining tree teunk is 3 feet tall.the tip of the tree rests on the ground 14 feet from the base of the trunk.what is the lenght of the broken part of the tree to the nearest tenth of a foot
Answer:
14.3 feet.
14.3 feet
Step-by-step explanation:
The problem forms a right triangle in which:
The Vertical Leg of the Right Triangle = 3 feet
The Horizontal Leg of the Right Triangle =14 feet
We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,
Using Pythagoras Theorem
\(Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=14^2+3^2\\Hypotenuse^2=205\\Hypotenuse=\sqrt{205}\\Hypotenuse=14.32\\ \approx 14.3 feet $(to the nearest tenth of a foot).\\Therefore, the lenght of the broken part of the tree to the nearest tenth of a foot is 14.3 feet.\)
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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HURRY I NEED HELP ASAP
Which set of angle measures would determine a triangle
a. 75,15,10
b.150,20,50
c.50,50,100
d.75,5,100
e70,60,40
Answer:
D
Step-by-step explanation:
all should add up to 180
Answer:
E. 70°, 60°, 40° D. 75°, 50, 100 C. 50°, 50°, 100°
Step-by-step explanation:
If you add the three degrees together, they all should equal 180 degrees.
Hope this helped :)
Hannah's sandcastle is 180cm tall,but the wind is blowing away sand at a rate of 3cm per minute. Devin's sandcastle is 160cm tall and he is adding sand to it at a rate of 2cm per minute. After how many minutes will their sandcastles be the same height?
Hanna
Sandcastle's height: 180 cm
sand blew away = 3 cm per minute (negative)
Devin
Sandcastle's height = 160m
San added = 2 cm per minute
We have to write an equation for each one:
Hanna
y=180-3x
Where y is the height of the castle and x is the number of minutes
Devin:
y= 160+2x
Since both heights must be equal:
y=y
180-3x=160+2x
Solve for x (minutes)
180-160 = 2x+3x
20 = 5x
20/5 = x
4=x
After 4 minutes
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
What is 6 1/4% of 95?
What is 3/10% of 115?
The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing
for the other three sides, to create a corral. If there is 100 feet of fencing available, what is the maximum possible area of the
corral?
9514 1404 393
Answer:
1250 square feet
Step-by-step explanation:
If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:
A = x(2)(50-x)
We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.
Then the maximum area is ...
A = (25)(2)(50 -25) = 1250 . . . . square feet
_____
Additional comment
Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.
Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)
A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A comparison of the area and circumference is not possible since the area cannot be determined
The numerical value of the circumference and area are equal.
The numerical value of the circumference is greater than the numerical value of the area.
O The numerical value of the circumference is less than the numerical value of the area.
Answer:
The numerical value of the circumference is greater than the numerical value of the area.
Step-by-step explanation:
Diameter = 3 meters
The radius is half of diameter so,
Radius = 3 ÷ 2 = 1.5 meters
Circumference = 2πr (r is the radius)
= 2 x π x 1.5 = 9.42 meters (rounded to 3 significant figures)
Area of a circle = π\(r^{2}\)
= π x \(1.5^{2}\)
= π x 2.25 = 7.06 meters
The true statement is
The numerical value of the circumference is greater than the numerical value of the area.
What is Area and Circumference?The space a circle takes up in a two-dimensional plane is known as the area of the circle.
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.
we have,
Diameter = 3 m
Radius= D/2 = 3/2 m
So, Area of Circle
= πr²
= 3.14 x 3/2 x 3/2
= 7.065 m²
and, Circumference of circle
= 2πr
= 2 x 3.14 x 3/2
= 9.42 m
Thus, The numerical value of the circumference is greater than the numerical value of the area.
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Simplify,, Explantion if possible
Answer:
work is shown and pictured
Natalie borrowed money from her parents to pay for a trip.
Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed.
The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks.
Number of Weeks Natalie Has Paid,
�
w
Amount Natalie Still Owes,
�
d
0
0
$
180
$180
2
2
$
162
$162
4
4
$
144
$144
6
6
$
126
$126
8
8
$
108
$108
Part A
How much does Natalie pay her parents each week?
$
per week
Part B
Write a function that shows the relationship between the amount Natalie still owes,
�
d, and the number of weeks she has paid,
�
w.
Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
We can see that Natalie is reducing the amount she owes by $18 every two weeks.
Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.
This means that after n weeks, the amount she still owes is:
$180 - $18n
Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:
$180 - P
After two weeks, she will owe:
($180 - P) - P = $180 - 2P
After four weeks, she will owe:
($180 - 2P) - P - P = $180 - 4P
After six weeks, she will owe:
($180 - 4P) - P - P = $180 - 6P
And after eight weeks, she will owe:
($180 - 6P) - P - P = $180 - 8P
We can set up an equation using the information we have:
$180 - 8P = $108
Solving for P, we get:
P = $9
Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
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The complete question:
Natalie borrowed money from her parents to pay for a trip. Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed. The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?
Week 0 = $180
Week 2 = $162
Weeks 4 = $144
Week 6 = $126
Week 8 = $108
Find the missing angle measurement.
Answer:
54°
Step-by-step explanation:
54°
Answer:
the missing angle is 54
Step-by-step explanation:
so first we need two triangle angles to get our measurement and we know straight lines add up to 180 so
180-123=57
57+69(other angle)=126
all triangle angles add up to 180 so subtract the two other angles to get your result
180-126=54
54 is your anwser
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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What is the value of x-3
Answer:
+3
Step-by-step explanation:
Solve this equation 2(a+3)=-4
Answer:
= -5
Step-by-step explanation:
Answer:
the answer is a=-5
Step-by-step explanation:
I got it right
If two sides of a triangle are 6 and 16, what is the range of the possible lengths
of the third side?
The range of the possible length of the third side is between 10 and 22
How to determine the possible length of the third sideFrom the question, we have the following parameters that can be used in our computation:
Lengths = 6 and 16
The possible length of the third side can be calculated using the triangle inequality theorem
For this triangle, the length of the third side must be greater than
16 - 6 = 10
Also, the length of the third side must be less than
16 + 6 = 22
Hence, the possible length of the third sides is between 10 and 22
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