Step-by-step explanation:
1) 3,57 ≈ 3,6
2) 0,61 ≈ 0,6
3) 2,78 ≈ 2,8
4) 0,55 ≈0,6
5) 13,36 ≈ 13,4
6) 12,08 ≈ 12,1
7) 0,218 ≈ 0,2
8) 7,91 ≈ 7,9
9) 41,26 ≈ 41,3
10) 19,6 ≈ 20,0
11) 2,85 ≈ 2,9
12) 8,02 ≈ 8,0
13) 5,23 ≈ 5,2
14) 15,72 ≈ 15,7
15) 13,05 ≈ 13,1
16) 0,672 ≈ 0,7
17) 2,631 ≈ 2,6
18) 8,853 ≈ 8,9
19) 9,803 ≈ 9,8
20) 0,443 ≈ 0,4
21) 3,749 ≈ 3,7
22) 16,38 ≈ 16,4
23) 8,337 ≈ 8,3
24) 0,116 ≈ 0,1
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
A. Knowing that 2^2 + 4^2 < 5^2, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a right triangle.
B. Knowing that 3^2 +4^2 = 5^2, draw any two of the sides with a right angle between them. The third side will fit to form a right triangle.
C. Knowing that 3^2 +4^2 = 5^2, draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
D. Knowing that 2^2 + 3^2 4^2, draw the 2 cm side and the 3 cm side with a right angle between them. The 4 cm side will fit to form a right triangle.
The procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm is option C.
Knowing that 3^2 +4^2 = 5^2, draw the 3 cm side and the 4 cm side with a right angle between them. The 5 cm side will fit to form a right triangle.
The Pythagorean Theorem is a relationship that exists between the sides of a right triangle, which is a triangle with one interior angle of 90 degrees. According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Converse of the Pythagorean Theorem is an inverse statement that implies that if a triangle's sides satisfy the relationship described in the Pythagorean Theorem, then the triangle is a right triangle.
To know more about Pythagorean visit:
https://brainly.com/question/28032950
#SPJ11
Solve the following linear system graphically.
x+y=3
x−y=7
Use the graphing tool to graph the system.
Answer:
See below
Step-by-step explanation:
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A.
x= -9
B.
x= -6
C. y=-9
D. y=-4
Answer:
I’m guessing D
Step-by-step explanation:
As the perpendicular would be -4 the negative reciprocal. I just worked out the whole equation including the point it passes.
Answer:
-6
Step-by-step explanation:
Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?
Answer:
D
Step-by-step explanation:
To get from A to B you must divide by x on each side, therefore dividing by the same variable expression
in order to determine an interval for the mean of a population with unknown standard deviation, a sample of 59 items is selected. the mean of the sample is determined to be 32. what is the associated number of degrees of freedom for reading the t value?
The associated number of degrees of freedom for reading the t-value is 58.
The aim is to determine an interval for the mean of a population.
The standard deviation is unknown to us. The sample consists of 59 items. The mean of the sample is determined to be 32. We need to calculate the associated number of degrees of freedom for reading the t value.
We know that the degree of freedom is one less than the number of items in the sample space.
The associated number of degrees of freedom for reading the t-value is 59-1.
The associated number of degrees of freedom for reading the t-value is 58.
To learn more about standard deviation, visit :
brainly.com/question/13905583
#SPJ4
Which graph represents the function f(x)=4/x ?
Answer:
the tables of values is (-2,-2) (-1,-4) (1,4) (2,2)
hope this helps!
Please please please help asapp
question: in the movie lincoln lincoln says "euclid's first common notion is this: things which are equal to the same things are equal to each other. that's a rule of mathematical reasoning and it's true because it works - has done
and always will do. in his book euclid says this is self-evident. you see there it is even in that 2000 year old book of mechanical law it is the self-evident truth that things which are equal to the same things are equal to each other."
explain how this common notion is an example of a postulate or a theorem
The statement made by Lincoln in the movie "Lincoln" refers to a mathematical principle known as Euclid's first common notion. This notion can be seen as an example of both a postulate and a theorem.
In the statement, Lincoln says, "Things which are equal to the same things are equal to each other." This is a fundamental idea in mathematics that is often referred to as the transitive property of equality. The transitive property states that if a = b and b = c, then a = c. In other words, if two things are both equal to a third thing, then they must be equal to each other.
In terms of Euclid's first common notion being a postulate, a postulate is a statement that is accepted without proof. It is a basic assumption or starting point from which other mathematical truths can be derived. Euclid's first common notion is considered a postulate because it is not proven or derived from any other statements or principles. It is simply accepted as true. So, in summary, Euclid's first common notion, as stated by Lincoln in the movie, can be seen as both a postulate and a theorem. It serves as a fundamental assumption in mathematics, and it can also be proven using other accepted principles.
To know more about mathematical visit :
https://brainly.com/question/27235369
#SPJ11
bobs gift shop sold 350 cards for mothers day one saleman henry sold 4% of the cards sold for mothers day how many cards did henry sell?
Answer:
14
Step-by-step explanation:
4% of 350 is 14 so he only sold 14
can someone help me with this
Answer:
C≈81.68
Step-by-step explanation:
I hppe this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️
1) 9 × 0 + (-80) + 8 = ?
9 × 0 + (-80) + 8 = ?
= 0 - 80 + 8
= -80 + 8 <==> 8 - 80
= -72
~bilbul
9 × 0 + (-80) + 8
= 0 + (-80) + 8
= (-80) + 8
= -72 ✔️
:)
solve for x on a right triangle
A= 18x-2 B= 20 C= ?
The value of x will be;
⇒ x = 4
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
On a Right triangle,
⇒ A = 18x - 2 , B = 20 , C = ?
Now,
Since, On a Right triangle,
One angle is at 90 degree.
Hence, C = 90°
Since, A = 18x - 2 , B = 20 , C = 90°
Hence, We get;
⇒ 18x - 2 + 20 + 90 = 180
⇒ 18x - 2 + 110 = 180
⇒ 18x + 108 = 180
⇒ 18x = 180 - 108
⇒ 18x = 72
⇒ x = 4
Thus, The value of x will be;
⇒ x = 4
Learn more about the triangle visit:
https://brainly.com/question/13569154
#SPJ1
Unit: Module 1. Ratios and unit rates Ratio tables Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests every 4 hours Complete the table using equivalent ratios. Treasure chests Hours 1 6 Stuck? Watch a video or use a hint.
She can cover 8 chests every 4 hours
The ratio is
\(\frac{8}{4}\)We need to find how many chests she can cover in 6 hours
We will use the equivalent ratio to solve it
\(\frac{8}{4}=\frac{x}{6}\)Where x is the number of chests
Use the cross multiplication
\(\begin{gathered} 4\times x=8\times6 \\ 4x=48 \end{gathered}\)Divide
a bag contains 4 red and 2 blue marbles. three marbles are selected simultaneously. determine the probability that only two are red
Probability to determine only two marbles are red is equal to 0.6.
As given in the question,
Total number of given red marbles in a bag = 4
Total number of given blue marbles in a bag = 2
Number of marbles selected simultaneously from the bag = 3
Condition : Only two marbles are red
Out of 3 marbles to be selected if 2 are red then 1 has to be blue
Probability of taking out 3 marbles where only 2 are red
= ( ⁴C₂ × ²C₁ ) / ⁶C₃
= [4!/ (4-2)!2! ] × [ 2!/ ( 2- 1)!1! ] / 6! / (6-3)!3!
= ( 4 )( 3 ) / ( 5 )( 4)
= 12 / 20
= 0.6
Therefore, probability of selecting three marbles out of 6 with only 2 are red is 0.6.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as much money as Elena. How much money did Jada, Lin, and Elena each save?
Answer:
Jada saved $40, Lin saved $60 and Elena saves $20
Step-by-step explanation:
Let the amount saved by Jada be x
Let the amount saved by Lin be y
Let the amount saved by Elena be z
If together they saved $120, then x+y+z = $120 ......... 1
If Jada saved $20 less than Lin, then x = y- 20 .....2
If Lin saved 3 times as much money as Elena, then y = 3z ...... 3
From equation 3, z = y/3 ....... 4
substitute equation 2 and 4 into 1;
x+y+z = $120
(y- 20)+ y + y/3 = 120
2y + y/3 - 20 = 120
2y + y/3 = 120+20
2y + y/3 = 140
multiply through by 3
6y + y = 420
7y = 420
divided through by 7
7y/7 = 420/7
y = 60
Since y = 3z
60 = 3z
z = 60/3
z = 20
From equation 2, x = y- 20
x = 60-20
x = 40
Hence Jada saved $40, Lin saved $60 and Elena saves $20
Setup a rational equation and solve it from the word problem. Mr. Solberg can ride his scooter 3 miles against the wind in the same time it takes him to scooter 4 miles with the wind. If the speed of the wind is 5 mile per hour, how fast does Mr. Solberg scooter when there is no wind?
Answer:
The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour
Step-by-step explanation:
The given parameters are;
The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind
The speed of the wind = 5 miles per hour
Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;
Time = Distance/Speed
Mr Solberg's speed against the wind = v - 5
Mr Solberg's speed with the wind = v + 5
The distance covered at a given time, while riding against the wind = 3 miles
The distance covered at the same time, while riding with the wind = 4 miles
The time in both instances are therefore 3/(v - 5) = 4/(v + 5)
From which we have;
3 × (v + 5) = 4 × (v - 5)
3·v + 15 = 4·v - 20
20 + 15 = 4·v - 3·v
4·v - 3·v = 20 + 15
v = 35
The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.
A cell phone tower has a reach of 5 miles in every direction. The cell tower is centered 3 miles
east and 6 miles north of where you are. If you head out on a bike ride traveling 8 mph, heading east for 2 miles, then straight north, how long will you receive cell coverage from this
tower? Please provide your answer in minutes and seconds.
Impose a coordinate system so that your original position is at the origin. Show your work clearly and in detail.
Answer:
73:29 minutes:seconds
Step-by-step explanation:
Since we want to know the time we're in cell-tower range, we can convert the coordinates of the problem to time. At 8 miles per hour, each mile is 1/8 of an hour, or 7.5 minutes.
From the designated origin, the tower is 3 miles, or 22.5 minutes, east and 6 miles, or 45 minutes, north. The turning point in our bike ride is 2 miles, or 15 minutes, east of our origin. Cell phone coverage will be had within 5 miles, or 37.5 minutes, of the tower location. The relevant circle and north-south travel line are shown in the attachment.
The equation of the cell coverage circle is ...
(x -22.5)^2 +(y -45)^2 = 37.5^2
Analytically, we're interested in the y-values where x = 15. Solving for those, we get ...
(15 -22.5)^2 + (y -45)^2 = 37.5^2
(y -45)^2 = 37.5^2 -7.5^2 = 1350
The values of time after our turning point where we enter and exit cell coverage are ...
y = 45 ± √1350
The difference between these times is 2√1350 minutes, 73.4847 minutes.
The fraction of a minute corresponds to 29.08 seconds
We will receive cell coverage for 73 minutes 29.08 seconds.
which friend is correct? Tyson or Tyra and why?
Answer:
The correct one is Tyson
Step-by-step explanation:
Because dealership B slope is lower than dealership A so that means, dealership A pays a higher commission than dealership B
why did jerome handler hint to be careful when assessing these biographies?
Jerome Handler cautioned about being careful when assessing biographies due to the inherent complexities and potential biases involved in constructing and interpreting personal narratives.
Understanding the nuances and limitations of biographies is crucial to avoid making oversimplified or one-sided judgments about individuals' lives and experiences.
Biographies are accounts of individuals' lives written by others, and they often involve selecting and interpreting events and details to construct a coherent narrative. Handler's caution likely stems from recognizing that biographies can be influenced by various factors, including the biographer's perspective, access to information, and potential biases. Biographers may have limited access to the subject's personal thoughts and feelings, leading to gaps or speculations in the narrative.
Moreover, personal biases of both the biographer and the readers can shape the interpretation and assessment of a biography. People's lives are complex, and attempting to capture the full richness of their experiences within the confines of a biography can be challenging. Therefore, Handler's warning serves as a reminder to approach biographies with a critical mindset, considering the potential limitations and biases involved, and having resistance about drawing simplistic conclusions or judgments based solely on the information presented in the biography.
Learn more about resistance here:
brainly.com/question/29427458
#SPJ11
PLEASE HELP!! IM HAVING A HARD TIME UNDERSTANDING THIS QUESTION.
Given the values of exponential function g below, what is g(3)?
g(0) = 60.4
g(1) = 30.2
g(2) = 15.1
O A.
3.775
OB. 7.55
OC.
8.0
D.
14.6
Answer:
14.6
Step-by-step explanation:
a school gives an entry exam for admission. suppose the score of this exam follows a normal distribution n(400, 60). this year, the school decides to admit students who score in the top 30%. suppose a student scored 428 on the test. will the student be admitted? explain your reasoning.
The student whο scοred 428 will nοt be admitted tο the schοοl because their scοre did nοt fall in the tοp 30% οf the distributiοn.
What is frequency distributiοn?The gathered data is arranged in tables based οn frequency distributiοn. The infοrmatiοn cοuld cοnsist οf test results, lοcal weather infοrmatiοn, vοlleyball match results, student grades, etc. Data must be presented meaningfully fοr understanding after data gathering. A frequency distributiοn graph is a different apprοach tο displaying data that has been represented graphically.
Tο find the z-scοre οf the student whο scοred 428, we can use the fοrmula:
z = (x - μ) / σ
where x is the student's scοre, μ is the mean οf the distributiοn (400 in this case), and σ is the standard deviatiοn οf the distributiοn (60 in this case).
Plugging in the values, we get:
z = (428 - 400) / 60 = 0.467
Since the z-scοre οf the student is less than 0.524, which is the z-scοre cοrrespοnding tο the tοp 30% οf the distributiοn, we can cοnclude that the student did nοt scοre in the tοp 30%.
Therefοre, the student will nοt be admitted tο the schοοl based οn the admissiοn criteria οf scοring in the tοp 30%.
Hence, the student whο scοred 428 will nοt be admitted tο the schοοl because their scοre did nοt fall in the tοp 30% οf the distributiοn.
Learn more about frequency distribution, by the following link
https://brainly.com/question/16698786
#SPJ1
Jamela is driving home from work in a car. At time t (measured in minutes) her distance from home (measured in miles) is given by J(t)=12- (2/3)t. At the same time, Yujin is riding her bike home from school. Her distance from home (measured in miles) is given by Y(t)= 3- (1/8)t. Express the ratio of Jamela's distance from home to Yujin's distance from home as a rational function, and simplify.
Jamela is Distance away from her house than Yujin is, which is calculated as (4 - (2/3)t / (1 - (1/192)t).
How Distance Is It?An object's entire motion, independent of direction, is its distance. the distance that something has covered.
We can multiply the numerator and denominator of this expression by the LCD, which is 24 in order to make it simpler:
J(t) / Y(t) = [(12 - (2/3)t) * 8] / [(3 - (1/8)t) * 8]
J(t) / Y(t) = (96 - (16/3)t) / (24 - (1/8)t)
J(t) / Y(t) = (96/24 - (16/3)t/24) / (24/24 - (1/8)t/24)
J(t) / Y(t) = (4 - (2/3)t) / (1 - (1/192)t)
Jamela is farther away from her house than Yujin is, which is calculated as (4 - (2/3)t / (1 - (1/192)t).
To know more about Distance visit:-
https://brainly.com/question/26862717
#SPJ1
Factor Completely
f(x)= x^4 - 2x^3 - 3x^2 + 2x + 2
Find the value of x. *
x
10
7
1. what do you do as a surveyor if one of the measurements taken is drastically different from your other measurements?
If one of the measurements taken by a surveyor is drastically different from the other measurements, the surveyor should investigate the cause of the discrepancy and determine whether the measurement is accurate or not.
Some possible reasons for a measurement to be drastically different could be errors in equipment, human error, environmental factors, or other sources of interference.
To verify the accuracy of the measurement, the surveyor may take additional measurements and compare them to the initial measurement, or they may use alternative methods to obtain the same measurement. If the measurement is found to be inaccurate, the surveyor may need to recalibrate or replace the equipment, or take steps to eliminate or minimize the sources of interference.
It is important for the surveyor to ensure the accuracy of their measurements to ensure the reliability of their data and the validity of their conclusions.
You can learn more about survey at
https://brainly.com/question/2141789
#SPJ4
I need help immediately pls
Answer:
Triangle MBT
Step-by-step explanation:
Congruent basically means an identical triangle in this situation, so the congruent triangle to VET would be MBT
Answer:
triangle mbt is congruent to triangle vet by sas
Step-by-step explanation:
sas stands for side angle side.
angle t is congruent for both triangles
the lines show that line mt and vt are congruent, and line et and bt are too.
since angle t is between both lines that are congruent, it would be through sas
There are 15 girls in your class this year. That is a 15% increase from last year. Write a proportion to solve for the number of girls in the class last year.
First, we have to recognize that if the current number of girls in the class is a 15% increase from last year, then this year's number is 115% of last year's number.
With that, we can set up a proportion comparing last year to this year, in both percentages and numbers:
\(\dfrac{100}{115} = \dfrac{x}{15}\)
Note that both numerators are last year's values and the denominators are this year's values.
If we multiply both sides by 15, we have that x ≈ 13.043478260869565. Since we're dealing with whole people, we'd say that there were 13 girls in the class last year.
the radius of a ball was measured and found to be 25 \text{ cm} with a possible error in measurement of at most 0.01 \text{ cm}. what is the maximum error in using this value of the radius to compute the volume of the ball?
The maximum error in volume of ball is ± 235.619 cm³
What is maximum error?The margin of error, also known as the maximum error of estimation, is equal to one-half the breadth of a confidence interval and serves as a measure of how accurate an estimate is.
The formula for the confidence limits on can be written as follows: where is half of the confidence interval's breadth.
Volume of ball is given by:
V = (4/3)πr³
Change in volume (ΔV) = (4/3)π × 3r² (Δr)
= 4π × 3r² (Δr)
= 4π × 3* 25² (±0.01)
= ± 235.619 cm³
To know more about maximum error please visit:
https://brainly.com/question/13370015
#SPJ4
What is the solution to the system of equations shown in the graph?
Answer:
D
Step-by-step explanation:
It's supposed to ask you to find the intersection of two lines
b(9-c) over A squared 2 Evaluate the expression if a=4, b=6, and c=8
PLEASE HELP! I ONLY HAVE 5 MINUTES LEFT!!
Answer:
I don't know if you want to find this answer using the quadratic formula or not, the question is no the greatest but i will solve it the best that i can. Or
Step-by-step explanation:
I used the discriminant which is √-4ac
Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.
Please help me its due on wen but it needs to be turned in on tue night at 12
Answer:
C
Step-by-step explanation:
you just have to find the surface area here. 2(2x10) = 40 this is the area of both the sides. then 2(15×10) = 300 this is the area of the top and the bottom. after that we will find the area of the the back and the front side which is 2(15×2) = 60. finally we will add them up. 40+300+60= 400 in^2. remember the surface area is 2(lw + wh + hl) where I is the length w is the width and h is the height