Answer:
The opposite sides in a rectangle are equal.
Step-by-step explanation:
If all sides were equal, you would have a square.
If the opposite sides were not parallel, you would not have 4 sides that meet at 90 degrees.
All angles in a rectangle are 90 degrees.
Answer:
The opposite sides in a rectangle are equal.
Step-by-step explanation:
hope this helps hope you get it correct
Find the missing side length of the right triangle below 6 inches 12 inches
Solve 9x^2- 17x- 85 = 0 Give your solutions correct to 3 significant figures.
Answer:
[tex]x =\frac{17}{18} +\frac{1}{18} \sqrt{3349}[/tex] OR [tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]
Step-by-step explanation:
9x2−17x−85=0
For this equation: a=9, b=-17, c=-85
9x2+−17x+−85=0
Step 1: Use quadratic formula with a=9, b=-17, c=-85.
[tex]x =\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex]
[tex]x =\frac{-(-17)+\sqrt{(-17)^{2} -4(9)(-85)} }{2(9)}[/tex]
[tex]x =\frac{17}{18} +\frac{-1}{18} \sqrt{3349}[/tex]
16.
The least common denominator of 1/2, 1/8, and 1/10 is
O A. 10.
OB. 80.
C. 40.
D. 16.
n
Mark for review Awill be biabliabted on the review page)
If Mike walks to school and rides his bicycle back at home it takes him 90 minutes. If he rides his bicycle both ways it takes him 30 minutes. How long would it take the trip to school and back walking? Assume he walks at a constant speed and also rides the bicycle at a constant speed.
Answer:
2 hours 30 minutes
Step-by-step explanation:
Mike rides to School and back for 30 minutes. It means that he rides to school 15 minutes.
90min-15min = 75min (one way, walking)
2*75min = 150min = 2h 30min
Mike's will walk to school and back home 2h 30min
PLEASE HELP PLEASE PLEASE HELP
Answer:
False
Step-by-step explanation: Matter All was take up place
olivia is walking to raise money for the childrens hospital. people can choose to sponser her at two diffrent levels. the first plan pays 10 dollars up front and 50 cents per mile. the second plan pays 4 dollars then 2 dollars per mile. for how many miles will the two plans donate the same amount?
Using linear functions, it is found that the two plans will donate the same amount for 4 miles.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the functions for the amount donated with n miles are given by:
f1(n) = 10 + 0.5n.f2(n) = 4 + 2n.They will donate the same amount for n miles as such:
f1(n) = f2(n).
10 + 0.5n = 4 + 2n.
1.5n = 6
n = 6/1.5
n = 4.
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•** Plss help me **•
Answer:
30
Step-by-step explanation:
You can use the triangle area theorem-
15x4(/2)=30
What is the median mean mode and range of 1,3,5,8,10?
Answer:
Below!
Step-by-step explanation:
Given data: 1, 3, 5, 8, 10
Determining the median of the data:
The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.
⇒ (n + 1)/2⇒ (5 + 1)/2⇒ (6)/2⇒ 3Determining the mean of the data:
The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.
⇒ Mean = (27)/5⇒ Mean = 5.4Determining the mode of the data:
The mode of the data is the number that has repeated the most.
⇒ "1" has been repeated once⇒ "3" has been repeated once⇒ "5" has been repeated once⇒ "8" has been repeated once⇒ "10" has been repeated onceSince all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.
Determining the range of the data:
The range of the data is the difference of the largest and smallest number (As said above).
⇒ Range = Largest number - Smallest number⇒ Range = 10 - 1⇒ Range = 9Answer:
Median: 5
Mean: 5.4
Mode: 1, 3, 5, 8, 10
Range: 9
Step-by-step explanation:
Median: the middle value.
Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).
Mode: the number that is most frequent.
Range: the difference between the biggest and smallest values.
First, make sure your data set is in numerical order: 1, 3, 5, 8, 10
Median: 5
1, 3, 5, 8, 10
Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27
27/5 = 5.4
Mode: 1, 3, 5, 8, 10
1, 3, 5, 8, 10
All of them, as they all appear once.
Range: 9
10 - 1 = 9
Hope this helps!
If the average rate of human hair growth is 12 mm per month, approximately how many years will it take to grow hair that is 1 m in length? Round of the nearest year
Answer:
7
Step-by-step explanation:
1) 1 m = 1000 mm, then to calculate the required time in months
2) 1000/12≈83.3 [months];
3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].
2. Mississippi covers a total of 47,691 square
miles. The total population of the state in
2000 was 2,844,658. What was the population
per square mile?
Answer:
60 people per square mile
Step-by-step explanation:
Given :
Population of Mississippi = 2,844,658Area of Mississippi = 47,691 square milesPopulation density is the rough calculation of people (population) per square milePopulation Density
Population / No. of square miles2,844,658 / 47,691⇒ 59.6476903 (approx.)⇒ 60 people per square milePopulation density:-
TOTAL population/Total area2844658/4769159.64Persons or 60(Rounded) persons per square mile1. When you go to a party or other gathering you shake hands with many people. The following is a formula that will predict how many hand shakes take place if every person shakes hands with every other person only once.
s = n(n - 1)/ 2
where S is the total number of hand shakes and n is the total number of people at the party.
(a) Express this formula in words.
(b) How many hand shakes will occur if there are 12 people present?
Answer:
s = 66
Step-by-step explanation:
S = number of shakes
N = number of people
(N-1) = takes yourself out of the equation
÷ 2 = shaking hands with everyother person
so when 12 people present:
s = 12(12-1) /2
s = 12(11) /2
s = 132 /2
s = 66
Answer:
This is called an exponential function, values are inserted to variables where applicable, aka, n = total number of people at the party, if there are only 12 people, (b:) insert into function where 'n' appears: (12(12-1)/2 = 66. This means 66 handshakes will occur if there are 12 people present.
(d) (1 + cos a) (1 - cos a) /(1 + sin a) (1 - sin a)= tan2 a
[tex] \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ [/tex]
[tex] \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ [/tex]
[tex] \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ [/tex]
[tex] {tan}^{2} (a)[/tex]
If the converse of a conditional statement is false, then what other statement must be false?
Answer:
The statement is false
It costs $5.25 to rent bowling shoes. Each game costs $3.00. You have $26.25. How many games can you bowl?
First lets write an equation to help us solve this.
26.25=3x+5.25
x=7
26.25 - 5.25 = 21.
21/3 = 7.
Answer:
You can bowl 7 games.
Step-by-step explanation:
To begin, you need shoes.
-$5.25
So, we would do $26.25 minus the amount for shoes $5.25
$26.25-$5.25 = $21
You now have $21 to spend on bowling the games. Since it is $3 each game, we can do the equation $21 = $3x. We can do this becuase you have $21 to spend and each game costs $3. So we can put x for how many games and 3 as the price of each game. Now, we simplify to get x alone. This will be how many games you can bowl.
21 = 3x
Divide by 3 on both sides
7 = x
So, you can bowl 7 games.
What is the volume of the bird feeder? Round to the nearest tenth if nessacaryWhat is the volume of the bird feeder
A car travels at an average speed of 56 miles per hour how many miles does it travel in 5 hours an 30 minutes
308 miles
D= s x t
= 56 x 5.5
= 308 miles
30 minutes is half an hour (0.5 or 1/2)
Hope this helps!
What is the difference between the
fastest sprint and the slowest sprint?
Fastest sprint - 12 2/4
Slowest sprint - 10 1/4
Answer:
2 1/4
Step-by-step explanation:
To find the difference, we must subtract the smaller number from the bigger one. In this case, the equation is 12 2/4 - 10 1/4.
Let us set aside the fraction and subtract 10 from 12 first.
12 - 10 = 2
Therefore, the whole number of the difference will be 2.
Let's solve for the fraction now.
2/4 - 1/4 = 1/4
Therefore, the fraction in the answer will be 1/4.
Add 2 and 1/4 to get 2 1/4, which is the answer.
I hope this helps and please mark me as brainliest!
50 POINTS! Please help me! I give Brainliest!
1. Given the following coordinates, complete the listed transformations in sequence, which means you do one after the other.
X(2, 4)
Y(5,-3)
Z(-7, 1)
a) Rotate the points 90 degrees clockwise
b) Dilation by a scaling factor of 2
c) Reflect across the x-axis
d) Translation 2 Up and 5 to the Left
4 PARTS TO THIS QUESTION! ANSWER ALL PLEASE!
Answer:
Step-by-step explanation:
Please help! I will give Brainliest!!!
Here are 3 receipts for meals at the same restaurant. Fill in the missing values for each recipe.
(receipt one)
burger = 9
18% tip = 2.16
total with tip = 14.16
(receipt two)
salad = 8
total = 11
total with tip = 12.98
(receipt three)
salad = 8
water = 1.5
total = 9.50
18% tip = 1.71
Step-by-step explanation:
calculator
Write an equation in standard form of the hyperbola described.
Focus (4, 0); vertex (2, 0); center (0, 0)
Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}[/tex]
is 5/74 rational or irrational?
Answer:
Rational
Step-by-step explanation:
5.74 is the same as 5.74 over 1. In other words, 5.74 can be written with a numerator and denominator, like this:
5.74 = 5.74/1
5.74 x 100/ 1 x 100
You can multiply the numerator and denominator of any fraction by the same number and keep the value of the fraction the same. Here we will multiply the numerator and denominator by 100 to get rid of the decimal point.
5.74 × 100/ 1 × 100
When we calculate the numerator and the denominator above, we get this fraction:
574/100
The fraction above is the same as 5.74. Furthermore, the numerator and the denominator of the fraction above are integers. Therefore, we can conclude that the answer to "Is 5.74 a rational number?" is yes.
Consider the two regression lines 3x+2y=26 and 6x+y=31,
(a) Find the mean value and correlation coefficient between x and y.
(b) If the variance of y is 4, find the S.D. of x.
The regression lines 3x+2y=26 and 6x+y=31 are linear regressions
The mean values are 4 and 7 and the correlation coefficient between x and y is 0.25The standard deviation of x is 2/13The mean value and the correlationWe have the equations to be:
3x+2y=26 and 6x+y=31
Make y the subject in the second equation
y = 31 - 6x
Substitute y = 31 - 6x in the first equation
3x+2[31 - 6x] = 26
Expand
3x+ 62 - 12x = 26
Collect like terms
3x - 12x = 26 - 62
Evaluate
-9x = -36
Divide by - 9
x = 4
Substitute x = 4 in y = 31 - 6x
y = 31 - 6 * 4
y = 7
This means that the mean values are 4 and 7
To determine the correlation coefficient, we make y the subject in 3x+2y=26 and x the subject in 6x+y=31.
So, we have:
y = 13 - 3x/2 and x = 31/6 - 1/6y
The above means that:
Bxy = -1/6 and Byx = -3/2
The correlation coefficient is then calculated as:
r^2 = Bxy * Byx
r = -1/6 * -3/2
r = 0.25
Hence, the correlation coefficient between x and y is 0.25
The standard deviation of xWe have:
Var(y) = 4
In (a), we have:
y = 13 - 3x/2
To solve further, we make use of:
Var(y) = Var(ax + b) = a^2Var(x)
This gives
Var(y) = Var(13 - 3x/2) = 13^2 * Var(x)
So, we have:
Var(y) = 13^2 * Var(x)
Substitute 4 for Var(y)
4 = 13^2 * Var(x)
Divide both sides by 13^2
4/13^2 = Var(x)
Express 4 as 2^2
(2/13)^2 = Var(x)
So, we have:
Var(x) = (2/13)^2
Take the square root of both sides
SD(x) = 2/13
Hence, the standard deviation of x is 2/13
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A haircut cost $16 which included tax. Joan tipped 20% and paid with a $50 bill. What was her change?
Answer:
32
Step-by-step explanation:
Answer: 30.8
Explanation: 20% of 16 is 3.2
16 + 3.2 = 19.2
50 - 19.2 = 30.8
I might be wrong but that's the answer I got
Which relation represents the pattern in the table of values?
y = 3x - 2
y = 3x + 2
y = 2x + 3
y = 2x - 3
Answer:
y = 3x + 2
Step-by-step explanation:
The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.
(2, 8)
y = 3x - 2
8 = 3(2) - 2
8 = 6 - 2
8 = 4
This statement is false
(2, 8)
y = 3x + 2
8 = 3(2) + 2
8 = 6 + 2
8 = 8
This statement is true
(2, 8)
y = 2x - 3
8 = 2(2) - 3
8 = 4 - 3
8 = 1
This statement is false
(2, 8)
y = 2x + 3
8 = 2(2) + 3
8 = 4 + 3
8 = 7
Therefore, b is the correct answer.
Hope this helps!
The relation that represents the pattern in the table of values is given as; y = 3x + 2
How to find derive linear equation from a table?Let us first find the slope of the values from;
m = (y₂ - y₁)/(x₂ - x₁)
m = (8 - 5)/(2 - 1)
m = 3
Thus, the y-intercept is;
5 = 3(1) + c
c = 2
Thus, equation is;
y = 3x + 2
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Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is____
A.40
B.30
C.20
D.10
Emiyjah wants to buy a new smartphone that costs $495. She has already saved $75.
6A) Write an inequality that shows the amount of money, m, that Emiyjah still needs to save before she can buy the smartphone.
Make sure you include the 495, the 75, the m, and an inequality symbol NOT an equal sign!
Answer:
m + 75 > 495
Step-by-step explanation:
After saving an additional amount m, Emiyjah will have a total savings of ...
m + 75
She needs to have that amount be greater than the cost of the smartphone, so she requires ...
m +75 > 495
__
Additional comment
The solution to this inequality is m > 420.
How much would it cost to tile a room that is 279 square feet If each 6 inch tile cost $0.65?
Answer:
$362.70
Step-by-step explanation:
IM STUCK CAN SOMEBODY SOLVE EQUATION
Is this adjacent, vertical, linear, or complimentary?
Answer:
the adjacent is compimentary
Step-by-step explanation:
because I passed
Simple help me please and thank you !
Answer:
y=mx
Step-by-step explanation:
I actually dont know if this is wrong I am terribly sorry I just went off of my notes.
