All categories

3 years ago

(Pythagorean theorem)

Mathematics

1 answer:

shusha [124]3 years ago

8 0

Answer:

S ≈ 16.49 cm and R ≈ 16.76 cm

Step-by-step explanation:

We are given that:

Length = 16 cm

Width = 4 cm

Height = 3 cm

Thus,

The diagonal S of the bottom side is given by pythagoras theorem;

S² = 16² + 4²

S² = 256 + 16

S² = 272

S = √272

S ≈ 16.49 cm

Since we now have the bottom diagonal, then we can use Pythagoras Theorem to find the diagonal "R" of the box:

So, R² = S² + 3²

R² = (√272)² + 9

R² = 272 + 9

R = √281

R ≈ 16.76 cm

You might be interested in

Can someone help me please

Crazy boy [7]

Answer:

It's 2/15

Step-by-step explanation:

5 0

3 years ago

2, -4, 8, -16, . . . find the next two numbers in the pattern and describe the pattern.

il63 [147K]

The next numbers are 32 and -64 the pattern multiplies by -2

6 0

3 years ago

The product of two consecutive integers is 420 which quadratic equation can be used to find x the lesser number

Fynjy0 [20]

Answer:

Step-by-step explanation:

If the smallest number is 'x', then the other number = x +1

x*(x+1)= 420

Use distributive property

x*x + x*1 = 420

x² + x - 420 =0 ------> this is the required quadratic equation.

5 0

3 years ago

What is the slope of the line shown below? answer quick pls

AVprozaik [17]

A. 1the answer is A. 1

8 0

3 years ago

It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1

3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts $=1114$ $\text{miles}$

Time taken to cover the distance $=4\text{hours}$ and $15\text{minutes}$

We know that,

$\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}$

$=\frac{1114}{\frac{17}{4}}$

$=\frac{1114\times4}{17}$

$=262.12$ $\text{mph}$

It is given that,

$1\text{mile}=1.6\text{kilometer}$

therefore,

$1\text{mph}=1.6\text{kph}$

Speed Of plane in Kilometers per hours $=\text{speed in mph}\times1.6$

$419.4\text{kph}$

Speed of in miles per hour is $262.12$ $\text{mph}$ and Speed in kilometer per hour $419.4\text{kph}$

3 0

3 years ago