Mathematics High School

ABCDE is a pentagon.
А
5 cm
5cm
B
E
4cm
4cm
С
D
8 cm
Work out the area of ABCDE.
(5 marks)
cm2

ABCDE Is A Pentagon.5 Cm5cmBE4cm4cmD8 CmWork Out The Area Of ABCDE.(5 Marks)cm2

Answers

Answer 1

Answer:

area = 44 cm²

Step-by-step explanation:

rectangle area = bh = 8 x 4 = 32 cm²

triangle height² = 5² - 4³ = 25 - 16 = 9

triangle height = 3

triangle area = 1/2bh = 1/2(8)(3) = 12 cm²

32 cm² + 12 cm² = 44 cm²

area = 44 cm²

Related Questions

The ratioof men to woman at a university is 6 to 5. How many woman students are there if there are 3600 men?

Answers

Answer:

There are 3000 woman students.

Step-by-step explanation:

Since the ratio is 6:5, so we have to reduce our number to 3000 from 3600 as 6x6=36 and then we can add the zeros.

What is the special name of
adjoining triangle FAN on the
basis of angle ? A=55, B=85 and C=45​

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

The given trianagle FAN is an acute triangle.

Step-by-step explanation:

There are three types of triangles on the basis of angle:

Acute triangle: All three angles are less than 90°Obtuse triangle: One out of three angles is greater than 90°.Right-angled triangle: One of the measurements of an angle will be equal to 90°.

(As shown in image attached)

Given:

A triangle FAN with an angle measurement of each angke.

To find:

The name adjoining triangle FAN on the  basis of angle.

Solution:

In ΔFAN

∠A=55°, ∠F=85° ,and ∠C=45​°

∠A<90°, ∠F<90° ,and ∠C<90°

All the given three angles of triangle FAN are less than 90°, which imolies that the given trianagle FAN is an acute triangle.

Learn more about triangles here:

brainly.com/question/1058720?referrer=searchResults

brainly.com/question/2269348?referrer=searchResult

PLS HELP ME IVE BEEN HERE FOR SO LONG PLSSSS

Answers

10m hope this helps your very welcome

Please help!!! I can't answer this!!!!

Answers

Answer:

y=8x

Step-by-step explanation:

X is the input, Y is the output. The answer describes that whatever X is, if you times it by 8, you get Y. It can't be "x + 14" because that only works with the first number given. If you do Y = X + 14, 6 doesn't equal 48.

seclate all the numbers that are solutions to the inequalitt w>1.

5
-5
0
0.9
-1.3​

Answers

Answer:

The numbers should be A. 5 and C. 0.

Hope I Helped

Answer:

the answer and only answer is C. 0

Step-by-step explanation:

I took the test and it's just C. 0 and i got 0 because i said A. 5 and C. 0 but it's just C. 0

hoped it helped :D

You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an interest rate of 5.2% compounded monthly for 5 years.

Answers

Answer:

$367.17

Step-by-step explanation:

we are find the cost of the car after 5 years

Using the compound interest formula;

A = P(1+r/n)^nt

Given

Principal P = $300

rate r = 5.2% = 0.052

Time t = 5years

Time of compounding n = 1/12 (monthly)

Substitute into the formula

A = 300(1+0.052(12))^5(1/12)

A = 300(1+0.624)^0.4167

A = 300(1.624)^0.4167

A = 300(1.2239)

A = 367.17

hence the amount of the car after 5years is $367.17

Hi can you halo with this

Answers

Multiply each box and add them together. The answer should be D

Jisoo drank 3/8 of a quart of chocolate milk, and his friend Andrew drank 2/7 of the same quart. How much did they drink altogether?

Answers

Answer:

37/56

Step-by-step explanation:

If Jisoo drank 3/8 of a quart of chocolate milk, and his friend Andrew drank 2/7 of the same quart, the amount they drank altogether will be the sum of the amount they drank individually

Total = 3/8 + 2/7

Find the LCM

Total = 3(7)+8(2)/56

Total = (21+16)/56

Total = 37/56

Hence they drank 37/56 of the quartz altogether

A parallelogram has an area of 20 square centimeters. The height of the triangle is 5 centimeters. What is the length of its base?

Answers

Answer:

4 cm

Step-by-step explanation:

A parallelogram area formula= Base x Height.

It already gave you the area so you can work backwards to solve for the base.

So, 20 divided by 5(the height) is 4.

Therefore, you can conclude that the length of the base is 4 cm.

What number is in the ten-thousandths spot of pi?

Answers

Answer:To figure out the value you have to look at all of the numbers from right to left.  You start with the ones place and get prgressively bigger going up by a multiple of 10 each time.  So you have the ones, tens, hundreds, thousands, ten thousands, etc.  In the number in your example, you have 3 ones, 4 tens (or 40), 1 hundred or (100), 0 thousands, and 5 ten thousands (50, 000).  You can write the number in expanded form to help you figure out the value.  50,000 + 100 + 40 +3.  

Upvote

•

4

Downvote

Comment

•

1

Step-by-step explanation:

Which of the following does NOT represent this decimal?

0.004?
A. four thousandths
B. 4/1,000
C. four tenths
D. 1/250

Answers

Answer:

c four tenths

Step-by-step explanation:

tenths are the first space after the decimal.

option C does not represent the decimal 0.004

What is Number system?

A number system is defined as a system of writing to express numbers.

Given,

Decimal number is 0.004

zero point zero zero four.

We need to find the following does NOT represent this decimal

A. four thousandths

4/1000=0.004

B. 4/1,000

0.004

c.  four tenths

4/10=0.4

D. 1/250=0.004

Hence, option C does not represent the decimal 0.004

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

MULTIPLE CHOICE QUESTIONS
Choose the correct answer from the given four options (3 to 18):
3. a x a x a x b x b x b is equal to​

Answers

Answer:

C due to distrubtive properties


If anyone can help and could you put the work as well

Answers

Your slope (m)= 0
So there is no slope because we have a horizontal line
Hope this helps

A farmer is digging a ditch across his field.
Each day he digs 15
1/5 mile of the ditch.

Which model represents the total length in miles the farmer digs in 8
days?

Answers

8 times 15 times 1/5, 3 miles of the ditch everyday so 3 miles times 8 days is 24 miles in 8 days.

y=6x-11
-2x-3y=-7
find the solution

Answers

Answer:

x = 13/8

y = 5/4

Step-by-step explanation:

y = 6x - 11

-2x - 3y = -7

6x - y = 11

-2x - 3y = -7

18x - 3y = 33

-2x - 3y = -7

16x = 26

x = 26/16 = 13/8

y = 39/4 - 11 = 5/4

y=6x-11

-2x-3y=-7

The solution to the system of equations is:

5/4

I need help on a problem ​

Answers

Answer:

Step-by-step explanation:

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

How do you find the circumference of a circle? Please include an example if you’d like.

Answers

Answer:

Step-by-step explanation:

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

What is 308 kg shared in the ratio 1 : 2 : 5?

Answers

Answer:

It will became like this.

38.5kg.77.kg192.5.kg

Hope this will help you.

Answer:

38.5, 77, 192.5

Step-by-step explanation:

x + 2x + 5x = 308

8x = 308

x = 38.5

38.5 + 2(38.5) + 5(38.5)

38.5 + 77 + 192.5 = 208

38.5, 77, 192.5

what are the roots of: y=x^2+3x-98

Answers

Answer:

Step-by-step explanation:

Lemons cost $5.40 per kilogram.
Leyla buys 0.35 kg of lemons.
Calculate how much Leyla's lemons will cost.

Answers

To find the cost of purchasing 0.35 kilograms of lemons, we will multiply 0.35 by $5.40 which will get us $1.89

x + 5 - 12
How can I do this

Answers

Answer: x − 7~Well, to find the answer you need to remove the variable 'x' because we don't know the value of 'x' then subtract 5 from 12.12 - 5 = 7~Then you add the variable back to the simplified equation and since you SUBTRACTED 5 from 12, you will also subtract 'x' from 7.x - 7~And there is your simplified answer. 8 - 7~

Hope you have a good day, Loves!

Also if I'm right can you let me know, please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

answer is x-7

your welcome.

Find the sum of the integers

Answers

Answer:

39

Step-by-step explanation:

11²=121

------------

12²=144

13²=169

14²=196

------------

15²=225

integers between √136 and √197 are 12,13,14.

12+13+14=39

i need help asap i been stuck on this for a long time

Answers

Answer:

1 to 2 is an example inches to 2 stuck etc

Answer:

3 1/2 inches is the answer

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,18,36...Find the 6th term.

Answers

Answer: 108

Step-by-step explanation:

Find the mode using the above data dot plot.

Answers

mode is the most reoccurring number

therefore the mode is 48

Answer:

48

Step-by-step explanation:

Mode- the most frequently  occuring observation ... here in this case it will be 48

I hope im right!!

Gabriel has 15 ⅝ pounds of clay. He will use 7/10 pound to make each bowl. After making 8 bowls, Gabriel wonders how many more bowls he can make. How many more bowls can how make?

Answers

Answer:

14

Step-by-step explanation:

The total amount of bowls he can make given the pounds of clay and the pound needed to make a bowl = [tex]15\frac{5}{8}[/tex] ÷ [tex]\frac{7}{10}[/tex]

= [tex]\frac{125}{8}[/tex] ÷ [tex]\frac{7}{10}[/tex]

= [tex]\frac{125}{8}[/tex] ×[tex]\frac{10}{7}[/tex] = 22.32

Number of bowls he can more more = total amount of bowls that can be made - number of bowls already made

22.32 - 8 = 14.32 bowls

Rounding off to the nearest whole number gives 14

(PLEASE HELP) Triangle LMN is similar to triangle OPR. Find the measure of side RO. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answers

Answer:

RO = 107.36

Step-by-step explanation:

ΔLMN = ΔOPR ----- (given)

so,-----------------------

NM / NL = RP / RO

19 / 34 = 60 / RO

RO = 60 × 34 ÷ 19

RO = 107.36

Answer:

75

Step-by-step explanation:

I'm not sure l am strugging with this topic too

a watch is sold for $130 at a loss of $30. what was the original cost of the watch​

Answers

Answer:

Step-by-step explanation:

130.00 + 30.00 =$160.00

It was at a loss, so it was reduced by 30.00

$5,200 at 4% for 3 years. Answers

Answers

answer $5,824

if u need to show work:

5,200(.04)=208
208(3)=624
5,200+624=5,824

hope this helps! can u please give me brainliest
Answer 5,824

Step by step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 23cm and a second side that is 4cm less than twice the third side, what are the possible lengths for the second and third sides?

Answers

Answer:

21 < x < 27

Step-by-step explanation:

Given that :

Side 1 = 23

Side 3 = x

Side 2 = 2x - 4

23 + x > 2x - 4

Collect like terms

x - 2x > - 4-23

-x > - 27

x < 27

Also ;

23 + 2x - 4 > x

23 - 4 > x - 2x

21 > - x

-21 < x

x > - 21

Hence,

Possible values of x :

x > 21 and x < 27

21 < x < 27

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