use the pythagorean theorem to write an equation for the distance Jane's trainer bikes.
Answers
Complete question is;
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. Use the pythagorean theorem to write an equation for the distance janes trainer bikes
Answer:
x = √(12² + 16²)
Step-by-step explanation:
We are told that;
She bikes from health club to South = 16 miles
From South to West = 12 miles
Her trainer bikes from the health club to meet her at the end which is west.
I have attached a diagram showing this movement in form of a triangle.
From the diagram I attached, I have depicted the distance the trainer bikes as x.
Using pythagoras theorem;
x² = 12² + 16²
x = √(12² + 16²)
Related Questions
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
Answers
Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that [tex]m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833[/tex]
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
[tex]P(X > 3) = e^{-0.0833*3} = 0.7788[/tex]
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Explain 5 different ways you use Math in your everyday life.
Answers
Answer:
Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.
Step-by-step explanation:
Answer:
1. you use it to calculate time (managing your day)
2. you use it while driving (use in angles and degrees)
3. you use it while drawing (again, use in angles and degrees)
4. you use it while cooking
5. you use it while banking (financial help)
Step-by-step explanation:
hope this helps:) please mark brainliest
margie bought 8 cans of tomato soup and 4 cans of mushroom soup. she spent nine dollars and eighty-eight cents. the tomato soup cost $0.79 per can. what did the mushroom soup cost per can?
Answers
Explanation: if the tomato soup can cost 79 cents then you divide that by 8 and you will get $6.32. Now if you subtract that by 9 your answer will be $2.68 so once you get that number, divide it by 4 and the answer will be $0.67
An angle turns through 60 one degree angles. What is the measure of the angle?
Answers
9514 1404 393
Answer:
60°
Step-by-step explanation:
60 × 1° = 60°
The angle measure is 60°.
can someone answer this whole page lol
marking brainliest btw
Answers
Answer: all i can read is number 2 and the answer is 5ft
Step-by-step explanation:
Answer:
B) [tex]\sqrt{225-81}[/tex]H) 5Triangle DG) 18 yardsStep-by-step explanation:
To solve question 1, you use the Pythagorean Theorem to solve. Option B uses this correctly.
Question 2 also uses the Pythagorean Theorem to solve. The answer is a decimal, but rounded to the nearest whole number, the answer is 5.
Question 3 uses the Pythagorean Theorem to see which triangles have the correct measurements of a right triangle. The triangle D is the only incorrect one.
Number 4 uses the Pythagorean Theorem to find the distance it would take to walk in a straight line. The answer to this is 51. Then subtract (24 + 45) - 51 to get 18 yards.
Hope it helps!
You jog 3 kilometers in 12 minutes.
At this rate, how long will it take you to complete a 7-kilometer race?
Answers
4 minutes per kilometre
4x7=28
28 minutes
Answer:
It will take 28 minutes to complete a 7-kilometer race
Step-by-step explanation:
If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.
I will give brainly Brett has a box that has edges 2.5 meters long. He plans to paint the
outside of all sides, including the top and bottom, of this box. Before
buying the paint, he needs to know the area of the surface he plans to
paint. What is the outside surface area of this box?
Answers
Answer:37.5
Step-by-step explanation:
Answer:
37.5
Step-by-step explanation:
4. Suppose the probability of event A is 0.23, the probability of the intersection of event A and event Bis 0.12, and
the probability of the union of event A and event B is 0.34. Find the probability of the complement of event B.
(A) 0.11
(B) 0.23
(C) 0.48
(D) 0.52
(E) 0.77
Answers
Answer:
[tex]P(B') = 0.77[/tex]
Step-by-step explanation:
Given
[tex]P(A) = 0.23[/tex]
[tex]P(A\ n\ B) = 0.12[/tex]
[tex]P(A\ u\ B) = 0.34[/tex]
Required
Find P(B')
First, we calculate P(B).
We have:
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
Substitute values
[tex]0.12 = 0.23 + P(B) - 0.34[/tex]
[tex]0.12 = 0.23 - 0.34 + P(B)[/tex]
Collect like terms
[tex]P(B) = 0.12 - 0.23 + 0.34[/tex]
[tex]P(B) = 0.23[/tex]
P(B') is then calculated as:
[tex]P(B') = 1 - P(B)[/tex]
[tex]P(B') = 1 -0.23[/tex]
[tex]P(B') = 0.77[/tex]
Calculate the speed of a car traveling a total distance of 60 meters in 4 seconds. pls help will give brainliest
Answers
Answer:
15 meters per second
Step-by-step explanation:
60/4 = 15
Answer:
15 meters per second
Answer the question quickly please 3y=24
Answers
Answer:
y = 8
Step-by-step explanation:
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
Insta: 25k_kemHELP HELL HELP HELP HELP HELP HELP HELL
Answers
Answer:
j
Step-by-step explanation:
6 devide by 7.3 so what is the answer
Answers
Answer:
0.82
step-by-step explanation:
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answers
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12HELP PLEASE WALLAHI HELP PLS WALLAHI HELP
Answers
Answer I think its 6 and -3
Step-by-step explanation:
Which inequality represents the number line below?
x< 2
x > 2
x _< 2
x >_ 2
Answers
Answer:
x_<2
Step-by-step explanation:
its shaded in so you have to flip it
Answer:
The answer is
x_<2
The circle is shaded and the arrow is going to the left hand side
4/5,3/10 =. Please help
Answers
Answer:
The answer would be 0,0754716981
Does the point (4, 0) satisfy the equation y = x2?
Answers
substitute the values into the original equation
0=4^2
0=16
No it does not satisfy the equation because 0 does not equal to 16
What is the overlap of Team 1 and Team 2?
high
medium
low
none
Two line plots aligned vertically so that their labels match. The first line plot is from 72 to 82, is labeled Team 1, and shows the following values that appear as x marks above the line. One x mark above 73. Two x marks above 74. Two x marks above 75. Three x marks above 76. Two x marks above 77. One x mark above 78. One x mark above 80. The second line plot is also from 72 to 82, is labeled Team 2, and shows the following values that appear as x marks above the line. One x mark above 74. Two x marks above 75. Four x marks above 76. Two x marks above 77. One x marks above 78. One x mark above 79. One x mark above 80.
Answers
Answer:
low
Step-by-step explanation:
Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.45
Answers
Answer:
True
Step-by-step explanation:
1.45 the 5 is equal/above it so it is true
I also need help with this one so pls help me
Answers
Answer:
the answer is 39
Step-by-step explanation:
you take 300 - 271 and you get 39
Answer:
29? or I'm just gullible.
Step-by-step explanation:
It seems like 29 so hopefully it is
Find the perimeter of the rectangle. 11. 13 cm Area = 52 cm2
Answers
Answer:
1352 cm
Step-by-step explanation:
Length (l) = 13 cm
Width (w) = 52 cm
Perimeter of the rectangle = 2(l + w) units
P = 2(13 + 8)
P = 2 (21)
P = 42
Thus, the perimeter of the rectangle is 42 cm.
Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?
Solution:
We know that the dimensions of the rectangle in terms of x:
l = 2x + 1
w = 2x – 1
Since the area of a rectangle is given by:
A = l * w
We can substitute the expressions for length and width into the equation for area in order to determine the value of x.
A = l * w
15 = (2x + 1) (2x -1)
15 = 4x2 – 1
16 = 4x2
x = ±2
Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:
l = 11 cm
w = 52 cm
Therefore, the dimensions are 5cm and 3cm.
Now, substituting these values in the formula for perimeter, we will get
P = 2l + 2w
P = 2(5)+2(3)
P = 10+6
P = 16 cm
I need to know Sergio rode mph and Sergio walked mph
Answers
Answer:
73
Step-by-step explanation:
Probably
In a bag of marbles, image are red, image are blue, image are green, and image are yellow. You pick a marble without looking. What color marble are you MOST likely to choose?
Answers
Answer:
red
Step-by-step explanation:
1/2 is larger than 1/4, 1/6, and 1/12 meaning the chance of pulling red is greater than getting blue, green, or yellow.
hope i helped you!
can u guys help i really need to be good at math because i dont want t go to a tewter tomorrow
Answers
Answer: Your answer is (C) 6/14
Step-by-step explanation: Have a brilliant day mate - Lily ^-^
how much money will she have left after she pays back the money she borrowed from the bank
Answers
Step-by-step explanation:
whatever amount her bank account balance is at the same time frame when paying off her loan as only her bank knows
A group of men decided to do a job in 8 days.
But since 10 men dropped out every day, the job
got completed at the end of the 12th day. How
many men were at the beginning?
Answers
Given :
A group of men decided to do a job in 8 days.
10 men dropped out every day, the job got completed at the end of the 12th day.
To Find :
How many men were at the beginning ?
Solution :
Let, total number of men initially are n.
It none of them leave, total work :
W = 8n ...1)
It is given that 10 men are dropped each day it takes them 12 day to complete the work :
W = ( n ) + ( n - 10 ) + ( n - 20 ) + .... + ( n - 110 )
W = 12n - ( 0 + 10 + 20 + ...... + 110 )
W = 12n - 660 ...2)
Since, total work is same in both the cases, so equating both equation, we get :
12n - 660 = 8n
4n = 660
n = 165
Therefore, their are 165 men in the beginning.
Answer it fast please
Answers
= (3/5)^1
= 3/5
HELP ASAP NEED ANSWER
Answers
Answer:
2
Step-by-step explanation:
hope this helps
please give brainliest. Thanks! :)
Which activities demonstrate ability the most?
Answers
Tobias bought four video games for $34. 10, $25.50, $13.25, and $9.99,
dileTobias spend?
How much money
A. $172.75
B. $99.40
C. $82.84
OD. $61.74
Answers
Answer:
C. 82.84
Step-by-step explanation: