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Iteru [2.4K]
3 years ago
11

Find the perimeter and area of each figure.​

Mathematics
2 answers:
Sonja [21]3 years ago
7 0

Answer:

Perimeter is 99 because 22+44+15+18=99

Area is 396 because 22+44=66÷2=33x12=396

The formula for the calculating the are of trapezium is a+b÷2xheight I hope this helped I gave you the formula to calculate the area of trapezium as well just to give extra help! Your welcome!

ASHA 777 [7]3 years ago
3 0

Answer:

Perimeter = 89mm

area= 528 or 220

Step-by-step explanation:

hope this is useful

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What is the product of the binomials (4a – 1) and (2b + 3)?
galben [10]

Answer:

D. 8ab+12a-2b-3

Step-by-step explanation:

You are basically combining like terms

8 0
2 years ago
Read 2 more answers
Question text<br><br>If x − 2 = 1/3, then what is the value of x to the power of 2 − 4x + 4?
TiliK225 [7]

Answer: 1/9

Step-by-step explanation:

6 0
3 years ago
The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacemen
mamaluj [8]
<h2>Answer:</h2>

(a)

The probability is :  1/2

(b)

The probability is :  1/2

<h2>Step-by-step explanation:</h2>

The numbers​ 1, 2,​ 3, 4, and 5 are written on slips of​ paper, and 2 slips are drawn at random one at a time without replacement.

The total combinations that are possible are:

(1,2)   (1,3)    (1,4)    (1,5)

(2,1)   (2,3)   (2,4)   (2,5)

(3,1)   (3,2)   (3,4)   (3,5)

(4,1)   (4,2)   (4,3)   (4,5)

(5,1)   (5,2)   (5,3)   (5,4)

i.e. the total outcomes are : 20

(a)

Let A denote the event that the first number is 4.

and B denote the event that the sum is: 9.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

We know that it could be calculated by using the formula:

P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( Since, out of a total of 20 outcomes there is just one outcome which comes in A∩B and it is:  (4,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 9

(4,5) and (5,4) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

(b)

Let A denote the event that the first number is 3.

and B denote the event that the sum is: 8.

Let P denote the probability of an event.

We are asked to find:

               P(A|B)

Hence, based on the data we have:

P(A\bigcap B)=\dfrac{1}{20}

( since, the only outcome out of 20 outcomes is:  (3,5) )

and

P(B)=\dfrac{2}{20}

( since, there are just two outcomes such that the sum is: 8

(3,5) and (5,3) )

Hence, we have:

P(A|B)=\dfrac{\dfrac{1}{20}}{\dfrac{2}{20}}\\\\i.e.\\\\P(A|B)=\dfrac{1}{2}

7 0
3 years ago
To find the surface area of the pyramid, in square inches, Vikram wrote (33.2) (34.2) + 4 (one-half (34.2) (28.4)). What error d
madam [21]

Answer:

B. He used the wrong expression to represent the area of the base of the pyramid.

Step-by-step explanation:

Given

See attachment for pyramid

Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4

Required

Vikram's error

The surface area of a square pyramid is:

Area = Base\ Area + 4 * Area \triangle

Where

Base\ Area = Length * Length

Base\ Area = 34.2 * 34.2

4 * Area \triangle = 4 * \frac{1}{2} * Base * Height

4 * Area \triangle = 4 * \frac{1}{2} * 34.2 * 28.4

So:

Area = Base\ Area + 4 * Area \triangle

Area = 34.2 * 34.2 + 4 * \frac{1}{2} * 34.2 * 28.4

By comparing the calculated expression with

Area = (33.2)(34.2) + 4 * \frac{1}{2} * 34.4 * 28.4

Option (b) is correct

3 0
2 years ago
Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian
mart [117]

Answer:

The area is 11317.51

Step-by-step explanation:

The sum of 2 sides must be less than the third side (largest side) for a triangle to be formed.

b+c<a

133+174 < 240

A triangle can be formed

To use Herons formula for the area

We find S = 1/2( a+b+c)

                 = 1/2(240+133+174)

                 =  1/2 (547)

                     = 273.5


Area = sqrt( S (S-a) (S-b)(S-c))

           sqrt((273.5 ) (273.5 -240) (273.5-133) (273.5-174))

           sqrt((273.5)(33.5) (140.5) (99.5))

            sqrt(128085964.4)

           11317.50699

The area is 11317.51

5 0
3 years ago
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