1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elenna [48]
3 years ago
7

What is the area of the rectangle? Show ALL your work! Do not round at any point!

Mathematics
1 answer:
faust18 [17]3 years ago
6 0

First lets work out the length of the top side which joins the points (-1,7) and (-5,5):-

this =  sqrt ( (7-5)^2 + (-1 - (-5)^2 )

=  sqrt (4 + 16)

= sqrt 20

Now find length of the longer side which is distance between the points (-1,7) and (4, -3)

this is sqrt ( (-1 - 4)^2 +  (7 - -3)^2)

= sqrt  125

Area of the rectangle = sqrt 20 * sqrt 125

= sqrt 2500

= 50 units^2  Answer

You might be interested in
Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random variabl
Svetradugi [14.3K]

Answer:

P(80

And we can find this probability with this difference:

P(-4

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-4

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info

Where \mu=180 and \sigma=25

We are interested on this probability

P(80

For this case we can assume that the random variable is normally distributed.

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(80

And we can find this probability with this difference:

P(-4

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-4

5 0
3 years ago
Traci plans to conduct a coin-flipping experiment to see if the probability of landing on "heads" or "tails" is close to the the
Sedaia [141]
The experiment with the least number of trials.
 
Experimental probability is more accurate and more close to theoretical probability by having the most trials. More trials = more accuracy. Less trials = less accuracy.
8 0
4 years ago
Please help and explain process too. Thank you!! ​
sergey [27]
The answer is x^2+2x-5

7 0
2 years ago
A truck travels beneath an airplane that is moving 160 km/h at an angle of 54.0 ◦ to the ground. How fast must the truck travel
Maksim231197 [3]

Answer:

2. 94.0 km/h

Step-by-step explanation:

since the airplane is moving at angle of 54° from the ground, the horizontal component of the velocity is given by cos component

speed of air plane= 160 km/hr

horizontal component of velocity v= 160 cos 54°

= 94.045 km/hr

Thus  the truck must travel at an speed of  94.0 Km/hr hence second option is correct.

6 0
3 years ago
If the ratio of black jeans to bluejeans is 6 to 18 with a total of 240 jeans how many of them are blue
Leya [2.2K]
The ratio is 6:18 and you are trying to find out what are blue. You divide 240 by 6 and get 40. You then multiply 40 x 18 and get 720.
5 0
3 years ago
Other questions:
  • If f(x)=3^x+10x and g(x)=4x-2 find (f+g)(x)
    6·1 answer
  • I need help with this ASAP!!!!!
    6·1 answer
  • What fraction is equivalent to 0.002?
    13·2 answers
  • 49a4 + 87a2b2 + 64b4 TRINOMIO CUADRADO PERFECTO POR ADICION Y SUSTRACCION por favor ayud
    11·1 answer
  • What does y equal if 5x+y=40
    7·1 answer
  • Lilly has 25/2 josh has 36/23 how much is there all together
    10·1 answer
  • Maths assignment <br> y^2-36
    12·1 answer
  • Help what’s this answer
    5·1 answer
  • 8: Harry is 3 years older and Andy is twice as old as
    15·2 answers
  • Which of the following are solutions to the graph
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!