Find the distance between the points A and B given below.
(That is, find the length of the segment connecting A and B.)
Round your answer to the nearest hundredth.
Answers
Step-by-step explanation:
Horizontal it is 4
Vertical it is 2
Use of Pythagoras theorem to find AB
AB= root of 4^2 + 2^2
= 4.47
The points= (3,2) and (7,5)
Distance =
[tex] \sqrt{ ({x}^{2} - x {}^{1} ) {}^{2} + ({ y}^{2} - y {}^{1} ) {}^{2} } [/tex]
=
[tex] \sqrt({4} - 9) {}^{2} + (5 - 7) {}^{2} [/tex]
=
[tex] \sqrt{25 + 4} [/tex]
=
[tex] \sqrt{29} [/tex]
[tex]5.39[/tex]
5.39 is the answer
Related Questions
In a triangle, JKL,< J measures 35 degrees and k is a right angle. What's the measure of l.
Answers
Answer:
55°
Step-by-step explanation:
180 - 35 - 90 = 55°
Answer:
55 degrees
Step-by-step explanation:
Hello There!
If you didn't know the measure of all of the angles in a triangle have a sum of 180
So to find a missing angle we subtract the two given angles from 180
We are given that one angle = 35 degrees
and another angle is a right angle
(a right angle measure 90 degrees)
Given this information we can find the missing angle of I
angle I = 180 - 90 - 35
180 - 90 - 35 = 55
so we can conclude that the measure of angle I is 55 degrees
Triangle RST reflectid over the x-and then translated 4 unita to the right What are the coordinates of the final image in its new position?
Answers
Answer:
R" (0,3)
S" (1,1)
T" (4,2)
Step-by-step explanation:
The reflection of the point (x, y) across the x-axis is the point (x, -y).
Translate right 4- add 4 to the x coordinate
R ( -4, -3 ) R' ( -4 , 3) R" ( 0 , 3)
S ( -3, -1) S' (-3 , 1) S" ( 1 , 1)
T ( 0 , -2) T' (0, 2) T" ( 4 , 2)
Write 5x – 4y = 10 in slope-intercept form
Answers
Find the measure of the exterior angle.
that last answer is 38°
Answers
Answer:
A. 138°
Step-by-step explanation:
hope it helps u...
PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST!!!!!
Answers
Answer:
The average cost of a cat's annual visit is about $23.71 less at A New Leash on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff Stuff Animal Hospital.
Explanation:
As you can see from the data and graph given, the Mean is essentially the average cost and $101.13 (New Leash on Life) is $23.71 less than $121.84 (No Ruff Stuff Animal Hospital).
HELP PLS MIGHT GIVE BRAINLIST ONLY OF TWO PEOPLE ANSWER!
Answers
Answer:
point (-2, -1) would change to (-2 ,0) and the new area would be 10 square units
A stadium is shaped like a hemisphere with a radius of 150 feet. Last month, the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. What was the total cost for utilities last month?
Answers
Answer:
353,249 feet cubed
Step-by-step explanation:
V=(4/3)[tex]\pi (3.14)rx^{3}[/tex]/2 times 0.05
if i have 46% of something done but i need 100% done in 25 days how many percent should i complete everyday by
Answers
I'll give points and brainalist for answer / explanation
Answers
Answer:
D. 8
Step-by-step explanation:
C= 2πr
π= 3.14
C= 25.12
25.12 = 2 * 3.14 * r
r= 4
d= 2r
d= 8
Find the product. (n³) . (n⁵)⁴
Answers
Answer:
n^23
Step-by-step explanation:
n^3 · n^20 = n^23
-(3x + 1) > -7+3x
Plz help with this
Answers
Answer:
x<1
Step-by-step explanation:
Treat it like a normal equation
Distribute: -3x-1>-7+3x
Isolate x: -6x>-7+1
Because we are dividing by a negative number, we need to flip the sign
x<1
Answer:
0, -1
Step-by-step explanation:
1. Plug in for 5:
-(15 + 1) > -7 + 15
-16 > 8 (FALSE)
2. Plug in for 1
-(3 + 1) > -7 + 3
-4 > -4 (FALSE, they are equal)
3. Plug in for 0
-(0 + 1) > -7 + 3(0)
-1 > -7 (TRUE)
4. Plug in for -1
-(-3 + 1) > -7 - 3
-(-2) > -10
2 > -10 (TRUE)
5. Plug in for 20
-(60 + 1) > -7 + 60
-66 > 53 (FALSE)
6. Plug in for -32
-(96 + 1) > -7 + 96
-97 > 89 (FALSE)
You can find the answer by just plugging in for x. It's very easy and the rest is just addition and multiplication, so please put some effort. Hope this helps! :)
A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Answers
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5
Answer: 35
Step-by-step explanation:
find the missing leg length for a right triangle with hypotenuse 40 ft and leg 21 ft
Answers
Answer:
34feet
Step-by-step explanation:
Using the pythagoras theorem
Hyp^2 = opp^2 + adj^2
Given
Hypotenuse = 40ft
Opp = 21ft
Required
Adjacent
Substitute
40^2 = 21*2 + adj^2
1600 = 441 + adj^2
adj^2 = 1600 - 441
adj^2 = 1159
adj = √1159
adj = 34.ft
Hence the missing length is 34feet
Which property is shown by the equation 23 + 0 = 23
Answers
Answer:
The identity property of addition
Step-by-step explanation:
It is the identity property of addition.
PLEASE HELP ASAP!!!!
Answers
I don't know the answer but someone who does will tell you.
lll give points and brainalist for correct answer / explanation
Answers
Answer:
D
Step-by-step explanation:
A. false; the diameter of a circle is double the radius
B. false; the diameter of a circle is double the radius
C. false; the diameter of a circle is double the radius
D. true! The diameter is double the radius
3/4x=5/8 what does x= i couldnt find the answer
Answers
[tex]\frac{5}{8}\frac{3}{4}[/tex]=x
x=[tex]\frac{5}{8} *\frac{4}{3}[/tex]
x=[tex]\frac{5}{6}[/tex]
M=2 can some one help me I need to evaluate the expression it says hint substitute m for 2
Answers
Answer:
LOL I NEED POINTS SORRY NOT SORRY
Step-by-step explanation:
how do you convert from kilometers to square meters
Answers
Answer:
To convert square km to square meters, multiply the square km value by 1000000
Step-by-step explanation:
A 90 ounce bag of nuts has cashews and peanuts in it. The peanuts weight is 10 more than 3
times the weight of the cashews. Find the weight of the cashews and peanuts.
Answers
Answer:
20 ounces of cashews and 70 ounces of peanuts
Step-by-step explanation:
x+3x+10=90
4x+10=90
4x=80
x=20
Savannah is going to invest in an account paying a interest of 1.6% compounded continuously. How much would Savannah need to invest to the nearest hundred dollars for the value of the account to reach $41,000 in 11 years
Answers
Answer: 34400 on delta math
Step-by-step explanation:
If you will write this in ratio 5 triangles is to 8 rectangles
Answers
Answer:
5 to 8, 5/8, 5:8
Step-by-step explanation:
if you have 5 triangles then TO 8 rectangles it will be (5 to 8, 5/8, or 5:8) those are all 3 ways to write it and it has to be # TO # in the right order it says in the sentence
hope this helpedAn estimated 1.8 million students take on student loans to pay ever-rising tuition and room and board (The New York Times, April 17, 2009). It is also known that the average cumulative debt of recent college graduates is about $22,500. Let the cumulative debt among recent college graduates be normally distributed with a standard deviation of $7,000. Approximately how many recent college graduates have accumulated a student loan of more than $30,000
Answers
Answer:
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average cumulative debt of recent college graduates is about $22,500, standard deviation of $7,000.
This means that [tex]\mu = 22500, \sigma = 7000[/tex]
Proportion more than 30000.
1 subtracted by the pvalue of Z when X = 30000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30000 - 22500}{7000}[/tex]
[tex]Z = 1.07[/tex]
[tex]Z = 1.07[/tex] has a pvalue of 0.8577
1 - 0.8577 = 0.1423
Approximately how many recent college graduates have accumulated a student loan of more than $30,000?
0.1423 out of 1.8 million.
0.1423*1.8 = 0.25614 million = 256,140
Approximately 256,140 recent college graduates have accumulated a student loan of more than $30,000.
An instructor who taught two sections of statistics last term, the first with 20 students and the second with 30, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. a. What is the probability that exactly 10 of these are from the second section
Answers
Answer:
0.207 = 20.7% probability that exactly 10 of these are from the second section
Step-by-step explanation:
The students are chosen without replacement, which means that the hypergeometric distribution is used.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 + 30 = 50 total students, which means that [tex]N = 50[/tex]
30 students from the second section, which means that [tex]k = 30[/tex]
First 15 graded projects, so sample of 15, which means that [tex]n = 15[/tex]
a. What is the probability that exactly 10 of these are from the second section
This is P(X = 10).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 10) = h(10,50,15,30) = \frac{C_{30,10}*C_{20,5}}{C_{50,15}} = 0.207[/tex]
0.207 = 20.7% probability that exactly 10 of these are from the second section
Solve the equation for y.
11x + 8y = 3
Answers
Move all terms that don’t contain y to the right side and solve.
y = 3/8 - 11x/8
which technique is best to use for x² + 4x = 15
Answers
U want to go x2 plus x so its x3 then 4x3times -15 so x=3.33333
please help it due today
Answers
Answer:
I think that your answer would be D .
Branliest to correct answer please explain how you solved it
Answers
Answer: it is a.
Step-by-step explanation: because I'm smart.
Answer: 2% or 3%
Most likely 2%.
Step-by-step explanation:
There’s a 20 sided dice and 100÷20=5
but you have to think of it as 26
2% x 26= 0.52 make 0.52 a 52 and take off the 2 from 52 and make it your answer, 2%
thats what I came up with and gathered after some tests on a normal online calculator that doesn‘t do remainders.
Reuben walks 2.5 km every day. How far does he walk in 7 days?
Write your answer in meters.
Answers
Reuben walks a total distance of 17500 meters in 7 days.
To find the total distance Reuben walks in 7 days, we can multiply his daily distance by the number of days.
Reuben walks 2.5 km every day, and we want to find the total distance in 7 days. To convert kilometers to meters, we know that 1 kilometer is equal to 1000 meters. Therefore, we can multiply the daily distance in kilometers by 1000 to get the daily distance in meters:
2.5 km/day * 1000 m/km = 2500 m/day
Now we can find the total distance walked in 7 days by multiplying the daily distance by the number of days:
2500 m/day * 7 days = 17500 meters
It's important to note that this calculation assumes Reuben walks the same distance every day without any variation. If his daily distance were to change, the total distance walked in 7 days would also change accordingly. Additionally, this calculation is based on the given information and assumes there are no rest days or breaks during the 7-day period.
For more such questions on distance
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norma has 3/8 cake left over from her birthday party. she ate 3/4 of the leftover birthday cake at lunch. how much of the whole cake did norma have at lunch?
Answers
Answer:
1/2
Step-by-step explanation: