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
eimsori [14]
3 years ago
15

Problem 4:

Mathematics
1 answer:
Kipish [7]3 years ago
5 0

Answer:

12cm and 16cm

Step-by-step explanation:

The hypotenuse of the right angle triangle  = 20cm

 let the other two sides be x and y;

 The difference;

                x  = y - 4

Problem:

Find x and y;

Solution:

According to the pythagoras theorem;

    x² + y² = 20²  ------ i

       x² + y² = 400 ----- i

and  x - y = 4 ---- ii

So;   x = 4 + y

Now input the value into equation (i);

  (y + 4)² + y² = 400

   (y+4)(y+4) + y² = 400

    y² + y² + 4y + 4y + 16 = 400

    2y² + 8y + 16 = 400

    2y² + 8y + 16 -400 = 0

   2y² + 8y - 384 = 0;

      y² + 4y - 192 = 0

Factorize the equation;

  y² + 16y - 12y - 192 = 0

  y(y + 16) - 12(y + 16) = 0

  (y-12)(y + 16) = 0

     y -12 = 0 or y+ 16 = 0

     y = 12 or -16

It is not realistic for the length of a body to be a negative value, so y= 12;

   since;

    x - y = 4,

    x = 4 + 12

    x = 16

You might be interested in
Is the number 17 a prime or composite number?
Alborosie

Answer:

It is a prime number.

Step-by-step explanation:

A prime number is a number that can only be the product of 1 and itself. 17 can only be multiplied by 1 and 17, so it is prime.

7 0
3 years ago
How do you graph slope 3/4 y intercept -3
Reptile [31]

Answer:

I am not sure about this question sry but u can try asking a tutor u don't need to use any points

6 0
3 years ago
On Tuesday, Donovan earned $11 for 2 hours of babysitting. On Saturday, he babysat for the same family and earned $38.50. How ma
Lina20 [59]
$11=2 hrs

2hrs=$11
+2(4hrs)=$22
+2(6hrs)=$33 hrs


so 6 hrs or 7 hours and some
minutes left
4 0
3 years ago
Find the probability of this event Enter the answer as a fraction in simplest form, as a decimal, and as a
Step2247 [10]

Answer:

12+12+4+6+26=50

12/50=6/25=0.24=24%

3 0
3 years ago
Read 2 more answers
Bill will randomly pick one marker a bag and one crayon from another bag.There are three red markers, 2 green markers , and 1 bl
Tanzania [10]

Answer:

i believe it is 2/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Dave Adams bought season tickets for the Boston Celtics. The cost was $1,300.11. The package included 30 home games. What is the
    11·1 answer
  • Given that a random variable X is normally distributed with a mean of 2 and a variance of 4, find the value of x such that P(X &
    5·1 answer
  • Which of the following statements best describes the location of −(−2) on a number line?
    13·1 answer
  • If a hummingbird were to get all of its food from a feeder, then a 16-ounce nectar feeder could feed about 80 hummingbirds a day
    12·1 answer
  • A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi
    10·1 answer
  • What is the center of a circle represented by the equation (x−5)2+(y+6)2=42? (−6,5) (−5,6) (5,−6) (6,−5)
    10·1 answer
  • 14. The average mail carrier walks 5.3 kilometers in a workday. How far do most mail carriers walk in a 6-day week?
    5·1 answer
  • What equation shows that 9 is a factor of 72​
    10·2 answers
  • Please help me answer this!!!
    6·1 answer
  • Needddddd helpppppp asapppp/ Necesitoooo ayudaaaaa rapidooo
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!