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
Leokris [45]
2 years ago
9

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b=4.5 miles and c=6.3 miles,

what is the perimeter? If necessary, round to the nearest tenth.
Mathematics
1 answer:
Alina [70]2 years ago
8 0

Considering the Pythagorean theorem and the definition of perimeter, the perimeter of the triangle is 15.209 miles.

<h3>Right triangle</h3>

A right triangle is one that has an angle of 90º. The two sides that form the right angle are called legs, the opposite and longer side is called the hypotenuse.

<h3>Pythagorean theorem</h3>

The Pythagorean theorem is a mathematical premise that allows us to calculate the length of the sides of a right triangle.

The Pythagorean Theorem states the following:

<em>In any right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs</em>.

The Pythagorean theorem is only applicable to right triangles.

<h3>Definition of perimeter</h3>

The perimeter of a flat geometric figure is the length of its contour and is obtained as the result of the sum of the sides of a flat geometric figure.

<h3>Perimeter of a triangle</h3>

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. Knowing that:

  • b=4.5 miles.
  • c=6.3 miles.

Side a can be calculated by applying the Pythagorean theorem:

c²= a² + b²

Substituting the corresponding values:

6.3²= a² + 4.5²

Solving:

6.3²- 4.5²= a²

39.69 - 20.25= a²

19.44= a²

√19.44= a

<u><em>4.4090 miles= a</em></u>

On the other hand, the perimeter of the triangle is calculated by:

perimeter= a +b +c

Substituting the corresponding values:

perimeter= 4.4090 miles + 4.5 miles + 6.3 miles

Solving:

<u><em>perimeter= 15.209 miles</em></u>

Finally, the perimeter of the triangle is 15.209 miles.

Learn more about

the perimeter:

brainly.com/question/15267339

brainly.com/question/660488

brainly.com/question/25092270

Pythagorean theorem:

brainly.com/question/654982

brainly.com/question/21691542

You might be interested in
PLEASE HELP<br> NO LINKS!!! <br> Thanks I really appreciate it
WINSTONCH [101]

Answer:

y = 3/-1 + 1 or y = -3/1 + 1

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Rhoda has 27 unit cubes how many rectangular prisms with different sized bases can she make if she uses all the unit cubes in ea
GalinKa [24]
Factors of 27 are 1, 3, 9, 27.
She can make 5 rectangular prisms os sizes 1 x 1 x 27 or 1 x 3 x 9 or 1 x 9 x 3 or 3 x 3 x 3 or 3 x 9 x 1
6 0
3 years ago
If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?
kirill [66]

A regular polygon with exterior angle of 7.2 degrees is a 50-gon.

<h3>Regular polygon</h3>

Regular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.

The formula to find the number of sides of a polygon using exterior angle is as follows:

  • exterior angle = 360 / n

where

n = number of sides

Therefore,

7.2 = 360 / n

cross multiply

7.2n = 360

divide both sides by 7.2

n = 360 / 7.2

n = 50

The polygon has 50 sides. Therefore, it is a 50-gon

learn more on polygon here: brainly.com/question/12105506

8 0
2 years ago
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if
Rom4ik [11]
Chang has a 50% probability of getting the white shirt and tan pants
8 0
3 years ago
Read 2 more answers
                                         Three friends are renting
nexus9112 [7]

It is given that:

Monthly Rent = A

Total Money Paid to Landlord = Y

The landlord requires initial payment to include:

  • 1st month's rent
  • \frac{1}{2} month's rent or 50% of monthly rent for Security Deposit
  • 40% of monthly rent for  utility bills
  • 5% of monthly rent for health club
  • 13% of monthly rent per person for other services

Also, Total Amount Paid to the Landlord = $2574

Number of People Sharing the Apartment = 3

Basis the above information,

Y = (100% * A) + (50% * A) + (40% * A) + (5% * A) + (13% * A * 3)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = 2.34 * A

Substituting the value of Y to determine A

⇒ 2,574 = 2.34 * A

⇒ A = 1,100

Hence, the monthly rent is $1,100

7 0
3 years ago
Other questions:
  • Which expression represents the following situation?
    5·1 answer
  • Is it possible for eight employees to earn between $300 and $350 while the ninth earns $1250 per week, and the mean to be $430?
    5·1 answer
  • Anybody tryna smash?
    13·2 answers
  • A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) = abx to re
    11·2 answers
  • How do u define demography
    6·2 answers
  • There are 600 adults at the beach 2 3rds of them r men how many r women/
    6·1 answer
  • In ΔCDE, the measure of ∠E=90°, DC = 89, CE = 39, and ED = 80. What is the value of the sine of ∠D to the nearest hundredth?
    8·1 answer
  • HELP ME PLEASEEEEEEEEEEEEEEEEEEE
    5·1 answer
  • Find the equation of the line that passes through (3,1) and is parallel to
    14·1 answer
  • Who wants 40 points ?? answer this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!