All categories

3 years ago

Find the missing side of each triangle. Leave your answers in simplest radical form.

Mathematics

2 answers:

Mrrafil [7]3 years ago

8 0

The missing side of the triangle is 11.66mi.

Step-by-step explanation:

<h3>Given that</h3>

A right angled triangle have

Base = 6 mi

Perpendicular = 10 mi

And, missing side = hypotenuse = x

Missing side of the triangle.

<h3>Solution </h3>

Since, we have given right angled triangle so we can use Pythagoras Theorem.

Pythagoras theorem

➟ (Perpendicular)² + (Base) ² = ( Hypotenuse) ²

Substitute the values

➟ ( 10 mi )² + ( 6 mi ) ² = ( x )²

Solve it

➟100 mi² + 36 mi ² = x ²

add the values

➟136 mi ² = x²

Finding the square root of 136 mi

➟√136 mi² = x

➟11.66 mi = x

Hence , the missing side of the triangle is 11.66mi.

Vladimir79 [104]3 years ago

3 0

Answer:

Solution given:

p=10mi

b=6mi

h=x.

by using Pythagoras law

h²=p²+b²

x²=10²+6²

x= $\sqrt{136}=2\sqrt{34}$

You might be interested in

Jamal wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence

den301095 [7]

Answer:

Area of the rectangle = 700 - 2w²

Step-by-step explanation:

In the picture attached one side of the rectangle is Barn.

Two perpendicular sides of the barn are width 'w' and one parallel side to the barn is 'l'.

Jamal has the fencing having length = 700 feet

So, to cover three sides of the rectangle length of wire required = (2w + l) feet

This length should be equal to the length of the wire, which is to be used to cover these three sides.

(2w + l) = 700

l = 700 - 2w ------(1)

Area of the rectangle = lw

By replacing the value of l from equation 1

Area = w(700 - 2w)

Area = 700w - 2w²

3 0

3 years ago

Una lancha que viaja a 10 m/s pasa por debajo de un puente 3 segundos después que ha pasado un bote que viaja a 7 m/s, ¿después

ExtremeBDS [4]

Answer:

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

Step-by-step explanation:

Sea el punto debajo del puente el punto de referencia y que ambas lanchas se desplazan a velocidad a continuación, las ecuaciones cinemáticas para cada embarcación son presentadas a continuación:

Bote a 7 metros por segundo

$x_{A} = x_{o}+v_{A}\cdot t$ (Ec. 1)

Lancha a 10 metros por segundo

$x_{B} = x_{o}+v_{B}\cdot (t-3\,s)$ (Ec. 2)

Donde:

$x_{o}$ - Posición debajo del puente, medido en metros.

$x_{A}$ , $x_{B}$ - Posición final de cada embarcación, medido en metros.

$v_{A}$ , $v_{B}$ - Velocidad de cada embarcación, medida en metros por segundo.

$t$ - Tiempo, medido en segundos.

Para determinar la posición en la que ambas embarcaciones se encuentran, se debe determinar el instante en que ocurre a partir de la siguiente condición: $x_{A} = x_{B}$

Igualando (Ec. 1) y (Ec. 2) se tiene que:

$v_{A}\cdot t = v_{B}\cdot (t-3\,s)$

Ahora despejamos el tiempo:

$3\cdot v_{B} = (v_{B}-v_{A})\cdot t$

$t = \frac{3\cdot v_{B}}{v_{B}-v_{A}}$

Si sabemos que $v_{B} = 10\,\frac{m}{s}$ y $v_{A} = 7\,\frac{m}{s}$ , entonces:

$t = \frac{3\cdot \left(10\,\frac{m}{s} \right)}{10\,\frac{m}{s}-7\,\frac{m}{s}}$

$t = 10\,s$

Ahora, la posición de encuentro es: ( $x_{o} = 0\,m$ , $v_{A} = 7\,\frac{m}{s}$ y $t = 10\,s$ )

$x_{A} = 0\,m + \left(7\,\frac{m}{s} \right)\cdot (10\,s)$

$x_{A} = 70\,m$

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

6 0

3 years ago

Whats the answer? Please respond ASAP!

Artemon [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

the north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of th

musickatia [10]

Answer:

7,897.30 miles

Step-by-step explanation:

It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.

We also know that the sea floor is below 2.4 miles from the sea level.

It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be

3949 - 2.4 = 3946.6 miles.

On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.

Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be

3949 + 1.7 = 3950.7 miles.

Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.

Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.

6 0

4 years ago

You deposit $600 in a savings account. the account earn 4% simple interest per year.

12345 [234]

Answer:

use some memes juice

Step-by-step explanation:

memes

8 0

3 years ago