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
g100num [7]
3 years ago
11

HELP!!!!!!!!!!!!!!!!!!!!!!!!!! Can U Answer All These.

Mathematics
1 answer:
mash [69]3 years ago
3 0

<u>QUESTION 1</u>

In figure A, the area of the bigger square is 625\:units^2. This means that the length of this square is the hypotenuse of the right angle triangle formed, which is 25\:units.

The area of the two smaller squares are 576\:units^2 and 49\:units^2.


The length of these two squares form the two shorter legs of the right angle triangle, which are 24 and 7 units respectively.


Therefore we can write the equation, 576+49=625.


This implies that, 24^2+7^2=25^2


We can see that the sum of the squares of the two shorter legs equals the square of the longer side which is the hypotenuse and this what the Pythagoras theorem says.


But in fig. B,

5^2+4^2\ne 6^2


Therefore the correct answer is Fig A.


<u>QUESTION 2</u>

See diagram.

We introduce the two lines as shown in the diagram.

From Pythagoras' Theorem,

|AB|^2=|AC|^2+|BC|^2


But |AC|=|7-3|=4 units.


and

|BC|=|8-2|=6 units.

This implies that,

|AB|^2=4^2+6^2


|AB|^2=16+36


|AB|^2=52


|AB|=\sqrt{52}


|AB|=2\sqrt{13}


|AB|=7.2 to the nearest tenth.



<u>QUESTION 3</u>

The numbers 3,4 and 5 form a Pythagorean triplet because 3^2+4^2=5^2.


If these numbers represent the side lengths of a triangular fence, then the triangular fence must be a right angle triangle.

The correct answer is B

Yes,because  3^2+4^2=5^2.


<u>QUESTION 4</u>

See graph.

We want to find the image of the triangle with vertices A(-5,-4), B(-2,-4), and C(-5,-1) after a reflection in the x-axis.

The mapping for this transformation is

P(x,y)\rightarrow P'(x,-y).


We just have to negate the y-coordinates.

A(-4,-5)\rightarrow A'(-4,5).


B(-4,-1)\rightarrow B'(-4,1).


C(-5,-1)\rightarrow C'(-5,1).








You might be interested in
A customer visiting the suit department of a certain store will purchase a suit with probability 0.22, a shirt with probability
Pachacha [2.7K]

Answer:

a. The probability that a customer purchase none of these items is 0.49

b. The probability that a customer purchase exactly 1 of these items would be of 0.28

Step-by-step explanation:

a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:

let A represents suit

B represents shirt

C represents tie

P(A) = 0.22

P(B) = 0.30

P(C) = 0.28

P(A∩B) = 0.11

P(C∩B) = 0.10

P(A∩C) = 0.14

P(A∩B∩C) = 0.06

Therefore, the probability that a customer purchase none of these items we would have to calculate the following:

1 - P(A∪B∪C)

P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)

= 0.22+0.28+0.30-0.11-0.10-0.14+0.06

= 0.51

Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49

The probability that a customer purchase none of these items is 0.49

b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:

= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2  P(A ∩ B ∩ C))

=0.51 -0.23 = 0.28

The probability that a customer purchase exactly 1 of these items would be of 0.28

6 0
3 years ago
Which of the following is not a valid probability distribution for a discrete random variable? Check all that apply.
IgorC [24]
B is one of them, do you have any ideas?
3 0
3 years ago
Read 2 more answers
Help due by 11 it 10 :55
belka [17]

Answer: 0.11

Step-by-step explanation: (2/3) / 6 = 0.11

4 0
3 years ago
Read 2 more answers
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solut
castortr0y [4]
$0.30x=y should be the answer because there is a 30cent fee for every day and x represents how many days it's kept therefore you would add 30 cents for every day it's kept so it's valid to say $0.30x=y becaue the 30 cents times the total of days it's kept = y (the toatl)
5 0
3 years ago
Read 2 more answers
What is the value of x?
Hitman42 [59]

Answer:

Step-by-step explanation:

Since RQT=155

4x-20+3x+14=155

7x-6=155

7x=161

x=23

3 0
3 years ago
Read 2 more answers
Other questions:
  • EXPLAIN YOUR ANSWER
    8·1 answer
  • Chapter 8: Chapter 8 Test &gt; chapter Test
    12·1 answer
  • Estimate 24% of 33.<br><br> a) 17<br><br> b) 12<br><br> c) 2<br><br> d) 8
    12·1 answer
  • There are 90 students in 5th Grade. 10% of them were absent today. How many students were present .
    10·1 answer
  • What is the midpoint between 10 and 20
    11·2 answers
  • 19 times. what is close to 24
    5·1 answer
  • In order from least to greatest -3/8 5-16 -0.65 2/4
    15·1 answer
  • 8(13 + 2y)
    8·1 answer
  • Ronald and Madelyn are both entering a cake in the Tri-County Bake-Off. Ronald's recipe calls for 2 cups of sugar and 5 cups of
    8·1 answer
  • Find an equivalent ratio in simplest terms:<br> 63:49
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!