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
SSSSS [86.1K]
3 years ago
6

Find the length of diagonal HJ. Round to the nearest hundredth.

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

The length of the diagonal HJ is 10.82 units

Step-by-step explanation:

* Lets revise the rule of the distance between two points

- d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}, where

 (x_{1},y_{1}) and (x_{2},y_{2}) are the two points

* Lets use this rule to find the length of the diagonal HJ

∵ The coordinates of point H are (-4 , 3)

∵ The coordinates of point J are (5 , -3)

∴ x_{1}=-4 and x_{2}=5

∴ y_{1}=3 and y_{2}=-3

- Lets find the length of the diagonal HJ by using the rule above

∴ HJ = \sqrt{(5-(-4))^{2}+(-3-3)^{2}}=\sqrt{(5+4)^{2}+(-6)^{2}}

∴ HJ = \sqrt{(9)^{2}+36}=\sqrt{81+36}=\sqrt{117}=10.81665

∴ HJ = 10.82

* The length of the diagonal HJ is 10.82 units

You might be interested in
What is the length of line segment BC?
sp2606 [1]
I would think 14 bc 8 units is smaller and 22 and 36 are two big
7 0
3 years ago
Read 2 more answers
A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50. and
Svet_ta [14]

Answer:

Step-by-step explanation:

Hello!

I'll express all the given percentages as probabilities:

Given the events:

Banking online (Bo)

Under the age of 50 (<50)

P(Bo)= 0.30

P(<50)= 0.40

P(Bo ∩ <50)= 0.25

1) What percentage of adults do not conduct their banking online?

The event "adults that do not conduct their baking online" is the complement of the event "adults that conduct their baking online" Symbolically Bo^c

P(Bo^c)= 1 - P(Bo)= 1 - 0.30 = 0.70

2) What type of probability is 25%?

The probability P(Bo ∩ <50)= 0.25 is a joint probability, it indicates the intersection between both events.

3) Construct a contingency table showing all joint and marginal probabilities.

Check attachment.

4) What is the probability that an individual conducts banking online given that the individual is under the age of 50?

Symbolically:

P(Bo/<50)= <u> P(Bo ∩ <50) </u> = <u> 0.25 </u> = 0.625

                       P(<50)            0.40

I hope it helps!

4 0
3 years ago
Determine algebraically whether f(x)=3x-2 and g(x)=(x+2)/3 are inverse functions. Show all work.
Sergio [31]

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2      

     

y= 3 x-2      

             

x= 3y - 2  

     

3 y -2 = x

3 y -2 + 2 = x + 2

<u>3 y </u> =  <u>x  </u> +  <u>2</u>                                                      

3        3       3

<u>3 y </u> =  <u>x  </u> +  <u>2  </u>                                                    

3        3       3

y =  <u>x </u>  +  <u>2   </u>        replace y with f ^ -1(x)

   <em> </em>  3        3                                            

f ^-1 (x) =    <u>x</u>   +  <u>2 </u>        

                 3       3      

4 0
3 years ago
How many sixties are in 244?
NeX [460]
There<u> four sixties </u> the remainder is 4
7 0
3 years ago
In a equation below, for what value of c does x=4? 1/2(2x+4)=3x-c
oksano4ka [1.4K]

Answer:

c = 6

Step-by-step explanation:

1/2 (2(4) + 4) = 3(4) - c

1/2 (8 + 4) = 12 - c

1/2 (12) = 12 - c

6 = 12 - c

-6 = -c

c = 6  

5 0
3 years ago
Other questions:
  • CAN SOMEONE HELP ME PLEASE!!!
    9·1 answer
  • Please help me with this question
    9·1 answer
  • Question 4<br> A rotation on the origin counterclockwise goes to the right.<br> O True<br> O False
    13·1 answer
  • What is the solution to the equation 3(2×+5)=3×+4×?
    12·2 answers
  • Please help asap 25 pts
    5·1 answer
  • Please help ASAP!<br> Algebra 2
    5·1 answer
  • Can someone please help me with this question
    14·1 answer
  • If 2 &gt; -a, then _____
    5·1 answer
  • Can someone tell me the answer to this question please this is hard
    10·1 answer
  • An equation is shown below:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!