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
A sprinkler that sprays water in a circular area can be adjusted to spray up to 30 feet. Turning the radius-reduction screw on t
zheka24 [161]

Answer:

Area_lawn = 393.75 π ft^2

Step-by-step explanation:

Maximum radius : 30 feet

Minimum radius:  30 feet - 0.25*(30feet)  =  22.5 feet

(25 percent reduction)

To find the area of lawn that can be watered, we just need to calculate the area for the maximum radius and the minimum radius, and then subtract them.

Since the sprinklers have a circular area:

Area = π*radius^2

Max area  = π*(30 ft)^2 = 900π ft^2

Min area  = π*(22.5 ft)^2 = 506.25π ft^2

Maximum area of lawn that can be watered by the sprinkler:

Area_lawn = Max area - Min area = 900π ft^2 -506.25π ft^2

Area_lawn = 393.75 π ft^2

5 0
3 years ago
Read 2 more answers
Tanner went to the bank and deposited $200 if his final balance was $647 what did he begin with?
Tema [17]

Answer:

$847

Step-by-step explanation:

4 0
3 years ago
Which expression has a value closest to 1? (Use 3.14 as the value of <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" t
Alexus [3.1K]
D I took this test yo
3 0
3 years ago
ILL GIVE BRAINLIEST ​
Travka [436]
The answer is z=20 because 25-6 is 19 and rounded that is 20
6 0
3 years ago
Jake bought bought a set of drums that were on sale. The original price of the drums was $300. They were 10% off. How much was t
cestrela7 [59]

Answer:

The sale price before tax was $270

7 0
3 years ago
Other questions:
  • Can someone please help me on this one?
    6·1 answer
  • Find the approximate height of the flagpole.
    7·2 answers
  • Ed and Sally are taking a tour of Paris. There are 3 different types of tours (walking tour, bike tour, and trolley tour) and 2
    10·2 answers
  • Find (4 × 105) − (9 × 102).
    7·1 answer
  • Write a decimal that is 1/10 of 0.9
    12·2 answers
  • Functions math, please help.​
    12·1 answer
  • What are two numbers that are 4 away from zero on a number line?
    5·2 answers
  • 7. A recipe calls for 4 tbsp of sugar to 10 tbsp of baking powder. What is the
    8·1 answer
  • a calculator is listed for $110 and is on clearence for 35% off. sales tax is 7%. what is the cost of the calculator
    12·2 answers
  • Which number is less than 2.167 × 10?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!