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3 years ago

Finding the perimeter or area of a rectangle given one of th

Mathematics

1 answer:

babymother [125]3 years ago

3 0

Answer:

<h3>The answer is 70cm</h3>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

The length of a rectangle six times its width which is written as

l = 6w

Area = 150cm²

Substitute these values into the formula for finding the area

That's

150 = 6w²

Divide both sides by 6

w² = 25

Find the square root of both sides

width = 5cm

Substitute this value into l = 6w

That's

l = 6(5)

length = 30cm

So the perimeter of the rectangle is

2(30) + 2(5)

= 60 + 10

Hope this helps you

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Find the domain and range of these functions. a) the function that assigns to each pair of positive integers the ﬁrst integer of

Sonja [21]

Answer:

a) Domain = N x N, Range = N

b) Domain = N, Range = {1,2,3,....,9}

c) Domain = {0, 1, 00, 01, 10, 11,...}, Range = {.....,-4, -3, -2, -1, 0, 1, 2, 3,......}

d) Domain = {1,2,3,4,.....}, Range = {0, 1, 2, 3, 4,.....}

e) Domain = {0, 1, 01, 10, 11,....}, Range = {1, 11, 111, 1111, 11111,.....}

Step-by-step explanation:

a) The function that assigns to each pair of positive integers the first integer of the pair will have domain equal to all pairs of natural numbers i.e, N x N where N = {1,2,3,.....} since the set of natural numbers has all positive integers.

Domain = {(x,y) | x ∈ N and y ∈ N}

The range is any integer so it will be a set of natural numbers N = {1,2,3,....}

b) Here, we have domain of each positive integer so we will have

Domain = {1,2,3,....}

Range is the largest decimal digit of the positive number which can be any number from 1 to 9

So, Range = {1,2,3,4,....,9}

c) Domain is a bit string i.e.

Domain = {0, 1, 00, 01, 10, 11,...}

The range includes the differences of 1's and 0's in the string. According to this, we can have all positive and non-positive (0 and negative integers) values in the range. So, it will be a set of all integers

Range = {.....,-4, -3, -2, -1, 0, 1, 2, 3,......}

d) We again have domain equal to set of positive integers i.e,

Domain = {1,2,3,4,.....}

Range is the largest integer that does not exceed the square root of the number. According to this, image of 1 will be 0, image of 2 will be 1. So, range will be a set of whole numbers.

Range = {0, 1, 2, 3, 4,.....}

e) Domain = {0, 1, 01, 10, 11,....} (A bit string)

Longest string of ones in the string will give the range

Range = {1, 11, 111, 1111, 11111,.....}

3 0

3 years ago

Last one!<br><br> Solve for h.<br> h- (-3)=9

ohaa [14]

It’s would be h=6
hope this helped

3 0

3 years ago

Read 2 more answers

Find the value of x. A. 53–√ in B. 241−−√ in C. 55–√ in D. 9

castortr0y [4]

Answer:

<h2>x = 5√3 inches</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

${a}^{2} = {b}^{2} + {c}^{2}$

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

${10}^{2} = {5}^{2} + {x}^{2}$

${x}^{2} = {10}^{2} - {5}^{2}$

${x}^{2} = 100 - 25$

${x}^{2} = 75$

We have the final answer as

<h3>x = 5√3 inches</h3>

Hope this helps you

3 0

3 years ago

Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig

Aleks [24]

<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

$(x, y) \Rightarrow(-y, x)$

Substituting the coordinates of the point C in the above formula, we get;

$(2, 1) \Rightarrow(-1, 2)$

Therefore, the coordinates of the point C' is (-1,2)

5 0

4 years ago

The balance on your business credit card was $215 before you purchased 5 new chairs for the office. Each chair cost $75.

STatiana [176]

Answer:

$590

Step-by-step explanation:

The credit card balance on the card is : $215.

You put on his charge 5 chairs that each cost $75.

So 75 * 5 = 375.

You have now added to your credit card balance of $375 and before you bought the chairs, it was $215. You must add these totals to get your new balance after purchasing 5 new chairs for the office.

375 + 215 = 590.

4 0

3 years ago

Read 2 more answers