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2 years ago

In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter of the rectangle? (STEP BY STEP EXPLANATION)

Mathematics

1 answer:

DerKrebs [107]2 years ago

3 0

Answer:

The area of rectangle is 12cm² and the perimeter is 14cm.

Step-by-step explanation:

First, you have to find the length of the rectangle using Pythagoras Theorem :

a² + b² = c²

a² + 3² = 5²

a² = 5² - 3²

a² = 16

a = √16

a = 4 cm

Next, you have to find the perimeter and area of rectangle :

Perimeter = 2(length + breadth)

P = 2(4 + 3)

P = 2(7)

P = 14 cm

Area = length×breadth

A = 4×3

A = 12 cm²

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Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

$n C_{r}=\frac{n !}{r !(n-r) !}$

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$

Thus there are 21 ways Tim choose 2 books from the 7 recommended book

7 0

3 years ago

On average and adult rest of it breathes in and out 12 times per minute about how many breaths will an adult take in a day?

Firlakuza [10]

Ques 1: 1min->12 breathsl
24*60=1440->12*24*60=17280breaths
answer : 17280 breaths
ques 2: 2 weeks(6*2=12days) -> 2808
1 day->2808/12=234 miles
answer :234 miles

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2 years ago

3x3 – 19x2 + kx – 30 What is the value of k?

Citrus2011 [14]

Answer:

Let's simplify step-by-step.

(3)(3)−(19)(2)+kx−30

=9+−38+kx+−30

Combine Like Terms:

=9+−38+kx+−30

=(kx)+(9+−38+−30)

=kx+−59

Answer:

=kx−59

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2 years ago

Explain why an elevation less than -5 feet represents a distance from sea level greater than 5 feet.

Morgarella [4.7K]

The elevation represents a distance from the sea level greater than 5 feet,

because the original description specifies a distance greater than 5 feet

below sea level.

Reasons:

The elevation given as a distance is the height or distance above sea level.

In the above description, elevation is a vector, given that it has both

magnitude (distance) and direction (above sea level).

Distance is a scalar quantity, that has only a magnitude that specifies the

space covered during motion.

An elevation of less than -5 feet indicates that distance of the location

above sea level is less than -5 feet, which is the same as; the distance of

the location below sea level is greater than 5 feet.

Less than -5 feet above sea level = Greater than 5 feet below sea level

Therefore;

An elevation of less than -5 feet represents a distance from (below) sea level greater than 5 feet

Learn more about vector and scalar quantities here:

brainly.com/question/11968679

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2 years ago

Perform the multiplication FOR THIRTY POINTS! (x^2)/(3) multiplied by (x^2-x-6)/(x^2-6x+9)

Oxana [17]

Answer:

(x^3+2x^2)/(3x-9)

Step-by-step explanation:

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3 years ago

In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter of the rectangle? (STEP BY STEP EXPLANATION)​

In a rectangle diagonal is 5cm ,breadth is 3cm .find the area and perimeter of the rectangle? (STEP BY STEP EXPLANATION)