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
kenny6666 [7]
2 years ago
6

50 PTS!!A right triangle has a leg measuring 16in. And 28in.

Mathematics
2 answers:
Leokris [45]2 years ago
7 0

Answer:

2)  32.2 in (nearest tenth)

Step-by-step explanation:

<u>Pythagoras’ Theorem</u>

\sf a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = 16 in
  • b = 28 in
  • c = hypotenuse

Substituting these values into the formula and solving for c:

\implies \sf 16^2+28^2=c^2

\implies \sf 256+784=c^2

\implies \sf c^2=1040

\implies \sf c=\pm\sqrt{1040}

\implies \sf c=\pm 32.2\:in\:(nearest\:tenth)

As distance is positive, c = 32.2 in (nearest tenth)

andreev551 [17]2 years ago
7 0
  • 32.2 inches. (Option 2)

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\  \\

Here,

  • The base (BC) is 16 in

  • The perpendicular (AB) is 28 in

  • The hypotenuse is AC.

\:

So, substituting the values in the formula we get :

\\ {\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}= (16) {}^{2} + (28 {)}^{2} }}} \\ \\

{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=256 + 784 }}} \\ \\

{\longrightarrow \pmb{\sf {\qquad (AC {)}^{2}=1040 }}} \\ \\

{\longrightarrow \pmb{\sf {\qquad AC = \sqrt{1040}  }}} \\ \\

{\longrightarrow \pmb{\frak {\qquad AC = 32.24  }}} \\ \\

Therefore,

  • The length of the hypotenuse (AC) is 32.2 in (Rounded to nearest tenth)

You might be interested in
PARTIES Louise is having a party.
just olya [345]

Answer:

32 guests

Step-by-step explanation:

96 divided by 3

3 0
2 years ago
Help help help help Help help help help Help help help help Help help help help Help help help help Help help help help Help hel
8090 [49]

help

okay so first add help the subtract help help finally dividing the help^2 equally help/help

3 0
3 years ago
Read 2 more answers
Which statement best describes the association between variable X and variable Y? Question 1 options: perfect negative associati
polet [3.4K]
The statement which best describes the association between the variables X and Y is the <em>moderate positive association</em>. It is observable that the values of X and Y are increasing, however, not in a perfect manner as there are some minor deviations. But nonetheless, the direction is clear and the values are close to each other so they have a moderate positive association.
5 0
3 years ago
Read 2 more answers
Solve (3x-5)+(-4x+1)
Juli2301 [7.4K]

Answer:

-x-4

Step-by-step explanation:

7 0
2 years ago
Find the volume of the cone. Use 3.14 for pi.
hram777 [196]

Answer:

V≈157.08

Step-by-step explanation:

I hope this helps

5 0
3 years ago
Other questions:
  • Of the last 15 contestants on a game show, 3 won a prize. Considering this data, how many of the next 20 contestants would you e
    9·1 answer
  • A package of ground beef costs $6.98. The price per pound is $3.86. How many pounds of ground beef are in the package? Round to
    13·1 answer
  • What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,
    14·2 answers
  • La matemática financiera experimentó grandes avances con la creación de la banca y los negocios creados por los emprendedores. E
    8·1 answer
  • Help me out with these 2 questions for 15 points.
    13·1 answer
  • –18 • –17 please hrlp
    5·2 answers
  • A boat moves at a rate of 11 mph in Stillwater if the rivers current flow at a rate of 2 mph how long does it take the boat to t
    5·1 answer
  • 2w − 1 = 1 so w = what
    8·1 answer
  • Help plis! Someone I need help with this plis
    8·1 answer
  • The numbers of blocked intrusion attempts on each day during the first two weeks of
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!