MATHEMATICS COLLEGE

Calculate the perimeter of a rectangle with a length of 17.5 cm and a width of 40 mm in cm

Answers

Answer 1

Answer:

Answer: 43 cm

Step-by-step explanation:

The perimeter of rectangle is given by :-

$P=2(l+w)$ , where l is length and w is width of the rectangle.

Given : The length of rectangle is 17.5 cm and the width is 40 mm in cm.

Since , 1 cm = 10 mm

Then, 40 mm= $(40)/(10)\ cm=4\ cm$

Then, the perimeter of rectangle will be :-

$P=2(17.5+4)\n\n\Rightarrow\ P=2(21.5)\n\n\Rightarrow\ P=43\ cm$

Hence, the perimeter of rectangle = 43 cm

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If for sets A and B there exists a injective function but not bijective function from A to B then a) Cardinality of A is stricly greater than B b) Cardinality of B is strictly greater than A c) Cardinality of B is equal to A d) None of the mentioned

Answers

Ans. b) Cardinality of B is strictly greater than

What are sets?

In mathematics, a group or collection of certain items is referred to as a set.

Given, for sets A and B there exists an injective function but not a bijective function from A to B. If there is no bijective function from A to B, then B's cardinality is strictly bigger than A's since certain items in B have no preimage in A.

Therefore answer b) Cardinality of B is strictly greater than is correct

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No question asked? Maybe include all of the information given.

In the diagram below of circle 0, GO = 8 andmZGOJ= 60°.
G
8
60°
What is the area, in terms of A, of the shaded
region?

Answers

Answer:

$\frac{80\pi}$

Step-by-step explanation:

Area of shaded region = θ/360 × πr²

Where,

θ = 360 - 60 = 300°

r = 8

Plug in the values

$area = (300)/(360) * \pi * 8²$

$= (5)/(6) * \pi * 64$

$= (5*\pi*64)/(6)$

$= \frac{5*\pi*16}$

$= \frac{80\pi}$

A carnival ride holds 30 people at a time. In one hour,220 people went on the ride. It was full each time
except the last. How many times was the ride
completely filled?

Answers

Answer:

Step-by-step explanation:

Final answer:

Given that a ride can hold 30 people at once, and that 220 people in total went on the ride, one minus the total number of people (to account for the last ride not being completely filled) divided by the total ride capacity gives us 7.3. This means the ride was completely filled 7 times.

Explanation:

To find out how many times the carnival ride was completely filled, we will divide the total number of people who went on the ride, by the maximum number of people the ride can hold at a time. However, we know that the last ride was not completely full, meaning there was at least one less person on the ride than it can hold, so we need to subtract 1 from the total number of people before proceeding.

So, we have: (220 people - 1) ÷ 30 people = 7.3. Since a ride can't be partially filled (i.e. 0.3 of a ride), we know that the ride was filled completely 7 times, and the remaining 0.3 represent the last, not completely filled ride.

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Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall. Write and evaluate an expression to find how many balloons Sarah has left.

Answers

The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.

What is a Fraction?

A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.

The total number of packages = 8

Number of balloons in each package = 20.

The portion of balloons use to decorate hall = 1/4.

Suppose the remaining balloons are x.

Thus the expression for remaining balloons can be written as,

x = 20 × 8 - 1/4×(20 × 8)

x = 160 - 40

= 120.

Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).

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