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
Aleonysh [2.5K]
2 years ago
6

What is the length of the missing leg? If necessary, round to the nearest tenth.

Mathematics
2 answers:
FinnZ [79.3K]2 years ago
7 0

Answer:

a ≈ 8.7 units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

a² + 5² = 10²

a² + 25 = 100 ( subtract 25 from both sides )

a² = 75 ( take square root of both sides )

a = \sqrt{75} ≈ 8.7 ( to the nearest tenth )

meriva2 years ago
6 0

<u>Answer:</u>

  • The length of the hypotenuse is 40 mm.

<u>Step-by-step explanation:</u>

<em>We can solve for 'a' using Pythagoras theorem. Let's solve it.</em>

  • 10² = 5² + a²
  • => 100 = 25 + a²
  • => a² = 75
  • => a = 8.660
  • => a = 8.7

Hence, the length of the hypotenuse is 8.7 m.

Hoped this helped.

BrainiacUser1357

You might be interested in
Dose anyone know the answer to this question
marishachu [46]

Answer:

Option D!

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Amina buys 45.5 pounds of candy. Amina once you divide the candy between her and her for friend How many pounds of candy does ea
Neko [114]

Answer:

22.75 Pounds

Step-by-step explanation:

I assume that the question is dealing with two people

  • Divide 45.5 by 2 and that's your answer

Hopefully that answers your question

8 0
3 years ago
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apil
kumpel [21]

Answer:

(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

Step-by-step explanation:

(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.

El volumen de un cubo está dado por la siguiente fórmula:

V = L^{3}

Donde:

L - Longitud de la arista, medida en dados.

V - Volumen del cubo, medido en dados cúbicos.

Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:

L = \sqrt[3]{V}

Dado que V = 125\,dados^{3}, encontramos que la altura del cubo de mayor tamaño sería:

L =\sqrt[3]{125\,dados^{3}}

L = 5\,dados

Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:

A = L^{2}

Donde:

L - Longitud de arista, medida en dados.

A - Área, medida en dados cuadrados.

Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de L tal que no supere 125 y de un área entera. Es decir:

L \leq 125\,dados

Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:

L^{2}< 125\,dados^{2}

Esto nos lleva a decir que:

L < 11.180\,dados

Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:

n = (11\,dados)^{2}

n = 121\,dados

Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

4 0
3 years ago
Please only answer if you're confident.
lina2011 [118]

Answer:  ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

  • Vertical angle theorem: opposite angles are congruent.

<u>Solve:</u>

∠A=∠B

8x+6=4x+38

4x=32

x=8

<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
4 0
3 years ago
Read 2 more answers
Pythagorean Theorem Word
diamong [38]

Answer:

40 miles

Step-by-step explanation:

In the attached diagram, Point A is the starting point and C is the end point. We want to determine the distance from A to C.

The path driven forms a right triangle in which AC is the hypotenuse.

We therefore use the<u> Pythagorean Theorem</u> to solve for the AC.

Pythagorean Theorem: Hypotenuse^2=Opposite^2+Adjacent^2

|AC|^2=32^2+24^2\\|AC|^2=1600\\|AC|=\sqrt{1600}\\ |AC|=40$ miles

The  straight  line distance from the starting point is 40 miles.

7 0
3 years ago
Other questions:
  • Freddy exercised 2.5 hours per 4 days. He burned 330 calories per hour. How many calories did Freddy burn by exercising?
    8·2 answers
  • Help me plz help assao​
    11·1 answer
  • 1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j
    14·1 answer
  • Find a rational approximation for the edge lengths given as radical expressions for the rectangular prism. Which is the BEST est
    6·1 answer
  • I literally don’t get this I need the answer
    9·1 answer
  • What is -2¾ as a decimal​
    13·2 answers
  • How much would you pay for an item if you paid $64.70 per month for 48 months?
    15·2 answers
  • Jill spent 12% of her money on a book. After buying the book, she had $120.12. How much money did Jill have before buying the bo
    6·1 answer
  • How Did Dregg Do On His Antarctica Test? Answers
    8·1 answer
  • FIND THE VALUE OF Y.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!