Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
[tex]\frac{5\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Divide 5 by [tex]\sqrt{2}[/tex] , then rationalize denominator
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=5
we have
by using Pythagoras law
p²+b²=h²
x²+x²=5²
2x²=25
x²=25/2
x²=18
x=[tex]\sqrt{\frac{25}{2}}[/tex]
x=[tex]\bold{\frac{5\sqrt{2}}{2}}[/tex]
Related Questions
5x-2x = 11+14
find the the variable that makes the equation true.
Answers
Answer:
x=25/3
Step-by-step explanation:
I put it into photo math
What is the slope of the line containing (-3, 5) and (6, -1)?
O A. -1
O B.-2/3
O C. 1
OD. 2/3
Answers
Answer:
-2/3
Step-by-step explanation:
The slope of a line can be represented as [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex] where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:
[tex]\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}[/tex]
A publishing company expects to sell 5000 copies of a new book from its web site, if the company charges $30 per book. The company expects that 500 more books would be sold for each price reduction of $2. What price would maximize the company's revenue?
Answers
Solution :
Let the revenue be = R
Therefore, R = price x quantity
R = (30 - 2x) ( 5000 + 500x)
= [tex]150000 + 5000x - 1000x^2[/tex]
For the maximum revenue,
[tex]$\frac{dR}{dx} = 0$[/tex]
[tex]$-2000x+5000=0$[/tex]
[tex]$x=2.5$[/tex]
[tex]$\frac{d^2R}{dx^2}=-2000<0$[/tex]
At [tex]x=2.5[/tex], the revenue is maximum.
So the price for the maximum company revenue = [tex]$30-2x$[/tex]
[tex]$=30-2(2.5)$[/tex]
= 30 - 5
= 25
Therefore, the price that will maximize the company's revenue is $25.
At a particular school, all students participate in at least one out of three activities: debate, music, and community service. 3 students do all three activities, 21 students do two or more activities, half of all students participate in music, and the ratio of participants in debate, music, and community service, respectively, is $5:4:3$. What is the total number of students at the school
Answers
Answer:
48
Step-by-step explanation:
The given parameters are;
The activities in which the students of the school participate = 1) Debate, 2) Music, and 3) Community services
The number of students that do all three activities = 3
The number of students that do two or more activities = 21
The number of the students that participate in music = Half of the students
The ratio of the students that take part in debate, music, and community service = 5 : 4 : 3
Let x represent a common number factor of participants in each of the given three activities, we have;
5·x participate in debate, A
4·x participate in music, B
3·x participate in community service, C
We get;
The sum of the students in the school = A∪B∪C = A + B + C - A∩B - A∩C - B∩C + A∩B∩C
Given that the number of students that do two or ore activities = 21, we have;
(A∩B)∪(A∩C)∪(B∩C) = 21
However, we have;
(A∩B)∪(A∩C)∪(B∩C) = (A∩B) + (A∩C) + (B∩C) - A∩B∩C - B∩A∩C - C∩B∩A + A∩B∩C
∴ 21 = (A∩B) + (A∩C) + (B∩C) - 3 - 3 - 3 + 3
(A∩B) + (A∩C) + (B∩C) = 21 + 3 + 3 + 3 - 3 = 21 + 6 = 27
∴ -(A∩B) - (A∩C) - (B∩C) = -27
Therefore;
A + B + C - A∩B - A∩C - B∩C + A∩B∩C = 5·x + 4·x + 3·x - 27 + 3
5·x + 4·x + 3·x - 27 + 3 = 12·x - 24
The total number of students = A∪B∪C = 12·x - 24
The number of students participating in music, B = 4·x = Half the total number of students = (12·x - 24)/2
∴ 4·x = (12·x - 24)/2
8·x = 12·x - 24
12·x - 8·x = 24
4·x = 24
x = 24/4 = 6
The total number of students at the school = 12·x - 24 = 12 × 6 - 24 = 48
Cinco litros de agua se divide en cuatro partes iguales, me tomo 2 partes ¿Cuánto me queda?
Answers
Answer:
2 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
5 ÷ 4 = 1 [tex]\frac{1}{4}[/tex]
1 [tex]\frac{1}{4}[/tex] × 2 = 2 [tex]\frac{2}{4}[/tex] = 2 [tex]\frac{1}{2}[/tex]
5 - 2 [tex]\frac{1}{2}[/tex] = 2 [tex]\frac{1}{2}[/tex]
respuesta: 2 [tex]\frac{1}{2}[/tex]
Daniel took her dog for a walk. She decided to count how many dog ears. She passed on her walk. She passed 14 dogs. How many ears did she count?
Answers
Answer:
Each dog has 2 ears (unless a dog had genetic disorder)
So-
14 x 2
= 28
So she counted of 28 Ears of total
(honestly that's a weird thing to do but ok)
Answer:
14 x 2 = 28
Step-by-step explanation:
Each dog has 2 ears
14 dogs has 28 ears
David has a part-time job. He earns $9.40 per hour. How much will he earn when he works 9 hours?
Answers
Answer:
$84.60
Step-by-step explanation:
$84.60 is what david will earn in 9 hours becuz 9.40 times 9 is 84 dollars and 60 cents
expand the decimal number 453682
Answers
0.453682
= 0.4+0.05+0.003+0.0006+0.00008+0.000002
453682.0
= 400000+50000+3000+600+80+2+0.0
Must click thanks and mark brainliest
If there are 3 people splitting a paycheck of 89 how much would each have to pay
Answers
Answer:
Around 29.67 each.
Step-by-step explanation:
The bill is being split amongst 3 people. Therefore, we must divide the total price by 3:
[tex]\frac{89}{3}[/tex]
=29.66666667
=29.67
Answer:
3÷89 it would be 36.55 each has to pay on bills
Find the value of the trigonometric ratio, Make sure to simplify the fraction if needed
Answers
Answer:
Cos Z = 7/25
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos Z = 14/50
Cos Z = 7/25
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
As the [tex]\triangle\sf{XYZ}[/tex] is a right angle traingle.
we know that,
[tex]\boxed{\underline{\sf{cos\blue{\theta}=\dfrac{adjacent}{hypertension} }}}[/tex]
According to the question,
[tex]cosZ=\dfrac{adjacent}{hypertension}\\\\cosZ=\dfrac{14}{50}\\\\\pmb{\green{\sf{cosZ}=\frak{\dfrac{7}{25}}}}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
In an experiment, colored letters flash briefly on a computer screen. On each trial, participants are asked to report the letters in their correct colors and to rate their confidence in their responses. In one condition, participants are required simultaneously to monitor the screen for the appearance of a particular digit. Which alternative correctly identifies the dependent variable(s) in this experiment
Answers
The alternatives or options aren't given.
Answer:
Kindly check explanation
Step-by-step explanation:
The dependent variable in an experiment refers to the va ibale which we intend to measure based on the outcome or values of one or more predictor variables, this variable which we intend to measure is the dependent variable while the the variables which causes a change or upon which the dependent variable relies are the independent variable. Hence, from the scenario described above, the possible dependent variables are :
The letters in their correct colors and the confidence in response Given.
Several days after a wedding, an outbreak of cyclosporiasis occurred among attendees. Of the 108 guests at the wedding, 76 were ill and met the case definition. 50 of the 76 who were ill ate the wedding cake. Three of those who were well ate the wedding cake. What is the attack rate for those who ate the wedding cake
Answers
Answer:
The answer is "94.3".
Step-by-step explanation:
Calculating the total numbers of cake eaters[tex]=50+3=53\\\\[/tex]
Calculating the total numbers of ill among them[tex]=50\\\\[/tex]
[tex]\therefore[/tex]
The attack rate for those who ate cake[tex]=\frac{50}{53}\times 100\%=94.3[/tex]
CAN A KIND SOUL PLEASE HELP ME OUT??!!!!!!!!!!!!!!
The translation (x, y)->(x + 10, y – 6) is applied to triangle ABC to create a new image triangle A’B’C’. Graph triangle A’B’C’ on the coordinate plane.
please show how you got it so I can see if the answer makes sense!!!!
Answers
Answer:
First find the coordinates of the vertices. A=(-8,8), B=(-8,3) and C=(-4, 4). Next apply transformation, A'=(2, 2), B=(2, - 3) and C=(6, - 2). Next map this and join them to get the required triangle
Sam spent 5 of an hour at the dentist's office. He spent to of the time in the waiting room. How much time did he
spend at the dentist's office other than in the waiting room?
0 1 / 2
of an hour
25 of an hour
of an hour
o of an hour
Answers
Answer:
We know he spent 5 sixths which is 50 minutes
Ten percent of 50 is 5
This means he spent 3 quarters of an hour in the office
Answer:
Sam spent 50 minutes at the office, and 1/10 (or 5 minutes) in the waiting room.
So, he spent 3/4 of an hour at the office but not in the waiting room.
Let me know if this helps!
A train is exactly 24km from Smalltown at 7:00p.m. It travels toward Smalltown at a constant rate of 90km per hour. At what time does the train reach Smalltown?
Answers
Answer:
7:16 P.M.
Step-by-step explanation:
24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.
A box contains 9 balls written B,E,R,N,H,E,A,R,T. Two balls are drawn at random without replacement. what is the probability of getting both balls written with R ?
Answers
Answer:
How many balls have “R” written on them initially? We can see this is 2.
How many balls are there initially? This is 9.
As a result, the probability of initially drawing a ball with an R on it is 2/9, as out of the 9 possible draws we could make, 2 of them result in a ball with R on it.
How many balls have “R” written on them now? We can see this is 1, since we just drew one ball with R on it and didn’t replace.
How many balls are there in total right now? This is 8, because we took away one.
As a result, the probability of drawing a ball with an R on it after having already done so is 1/8, as out of the 8 possible draws we could make, 1 results in a ball with R on it.
We then multiply these two values (2/9)*(1/8) = 2/72, which is our probability.
Another way to think about this is that there are 72 possible combinations of balls that we could draw, counting each ball uniquely. This is because of our denominator, since 8*9=72. Out of those 72 outcomes that could possibly happen, 2 outcomes will result in both balls being written with R.
Step-by-step explanation:
7. solve for x!
please help
Answers
(3x/6) + 2 = 8
=> 3x/6 = 8 - 2
=> 3x/6 = 6
=> 3x = 6 × 6
=> 3x = 36
=> x = 36/3
=> x = 12
Answer:
x=12
Step-by-step explanation:
3x/6+2=8
3x/6=8-2
=6
3x/6(6)=6(6)
3x=36
x=12
find the missing side of the triangle.
Answers
Answer:
34
Step-by-step explanation:
x² = 30² + 16²
(pythagoras theorem)
x = Square root 30² + 16²
x = 34
A^2 + B^2 = C^2
30^2 + 16^2 = C^2
1156 = c^2
Square root of 1156 = c
C = 34
Therefore x = 34
1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a shadow 16.5 inches long. Find the height of the goal post in feet. Round your answer to the nearest whole number.
Answers
Answer:
40 feets
Step-by-step explanation:
Given that :
Person's height = 5feet 6 inches ;
Person's height in inches ;
1 foot = 12 inches ;
5 feets = (12 * 5) = 60 inches
Person's height = 60 + 6 = 66 inches
Height of person's shadow = 16.5 inches
Height of post shadow = 120 inches
Height of goal post = x
(Height of goal post / height of post shadow) = (person's height / person's shadow)
x / 120 = 66 / 16.5
Cross multiply :
16.5x = 120 * 66
16.5x = 7920
x = 7920 / 16.5
x = 480 inches
To feets ;
1 foot = 12 inches
480 inches = 480/12 feets = 40 feets
find the area of given figure
Answers
Here’s the answer
Alternatively, this is going to be hard to explain, but you can add 2 and 7 to get 9cm. 9*3 gives us 27cm^2. Then, we can subtract 3 from 6 to give us 3. 3*7 is 21cm^2. 21+27 is 48cm^2. Same answer, different ways to solve them.
The answer is 48 centimeters squared.
A car accelerates from rest at 1.0 m/s2 for 20.0 seconds along a straight road. It then moves at a constant speed for half an hour. It then decelerates uniformly to a stop in 30.0 s. Find the total distance covered by the car.
HELP
Answers
Answer:
50m
Step-by-step explanation:
speed (m/s2) = distance (m) ÷ time (s)
distance = speed (m/s2) x time (s)
1x20 =20m.
30s = 30m because they do 1 meter per second (every second)
50m in total if not counting the constant for half a hour.
Please answer this, Its due in a few minutes
Answers
Answer:
The final solution is 2.
y ÷ 2 + x ; use x = 1 and y = 2
(2) ÷ 2 + (1) -----> divide 2 by 2
1 + 1 ----> add the quotient of 2/2 to 1
2 ---> answer
Answer:
2
Step-by-step explanation:
(To make this easier I will put this in steps)
Step 1 : Substitute
As you can see we are given the amount the variable stands for so we can simply just substitute them out...
y / 2 + x OR 2 / 2 + 1
Step 2 : Solve
Now that there are no variables this should now be pretty simple to solve.
2/2 = 1 so...
1 + 1
Then you would add them and get 2
y / 2 + x = 2
Hope this helps :)
Please explain how you got the answer!
Answers
Answer:
One of the scenarios:
Reflection over y-axis, then Translation 1 unit right and 9 units downif f(x) = 2x/2x+1 and g(x) = 1/2x+1, find f(x) / g(x)
Answers
Answer:
2x
Step-by-step explanation:
Just solve the function operation:
f/g=(2x/2x+1)/(1/2x+1) = 2x since (2x/1)/(2x+1/2x+1) simplifies to 2x/1 the answer is 2x
Simplify the given expression below:
(1 + 3) + (2 - 5i)
Answers
Answer:
6 -5i
Step-by-step explanation:
(1 + 3) + (2 - 5i)
Combine like terms
1+3+2 -5i
6 -5i
find tan(2x) if x=pi/3
Answers
Answer:
Wouldn't it be something along the lines of
0.03657034937430407
I used a calculator btw, but rounded for pi with 3.14159.
Step-by-step explanation:
when three times a certain number is subtracted from 5 the result is more than 9 find the range of the values of the number.
Answers
Answer:
] 14/3 ; ♾ [
Step-by-step explanation:
3x-5>9
3x>9+5
3x>14
x>14/3
wich make it ] 14/3 ; ♾ [
when three times a certain number is subtracted from 5 the result is more than 9 find the number.
Solution :Let us assume :
The number be x
Data :
A number is 3 times = 3x
Subtracted from 5
The result = 9
Henceforth, the equation we got is :
3x - 5 = 9Transposing 9 to the other side
3x = 14 x = 14/3Hence, the value of x is 14/3 respectively
If the mortgage interest rates increase, this would be an example of changing your external environment.
Answers
Answer:
Economic conditions
Step-by-step explanation:
If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment
Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.
once the debtor repays the mortgage he retains the full ownership of his property.
3x - 28= 80
What is the value of x?
Cual es el valor de x?
Answers
Answer:
3x-28 = 80
3x = 108
x = 36
Let me know if this helps!
Please help explanation if possible
Answers
Answer:
see explanation
Step-by-step explanation:
He wants to buy at least 4 snacks , that is can be more than 4 , so
x + y ≥ 4
He only has $20 , thus total cost must be less than or equal to $20 , so
3x + 2y ≤ 20
