Find the area of the figure with Heron’s formula

Find The Area Of The Figure With Herons Formula

Answers

Answer 1

Answer:

735 cm²

Step-by-step explanation:

The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.

The other part of the figure will be a square of sides 21 cm by 21 cm

Area of the square section

Area = l²

Area = 21* 21 = 441 cm²

Area of the triangle using Heron's formula

Sides of the triangle are ;

a= 28 cm

c= 35 cm

b = 21 cm -----height of the trapezium

The Heron's formula is given as;

[tex]A=\sqrt{s( s-a)(s-b )(s-c )}[/tex]

where s is half the perimeter of the triangle

Perimeter of the triangle is given as ;

P= 35 + 28 + 21 =84 cm

s= 84/2 = 42 cm

[tex]A=\sqrt{42*(42-21 )*(42-35 )*(42-28 )} \\\\A=\sqrt{42*(21 )*(7 )*( 14)} \\\\A=\sqrt{86436} \\\\A=294\\\\[/tex]

Total area = 294 + 441 = 735 cm²


Related Questions

Solve for x.

I’m confused can someone help ?

Answers

Answer:

you just have to add 5x+120=180 , since all the angles should add to 180. Doing that, and x will be 12.

Step-by-step explanation:

[tex]180 - 60 - 60 = 5x \\ 5x = 60 \\ x = 12[/tex]


In Zimbabwe the rate of inflation hit 90 sextillion percent in 2009, with prices increasing tenfold every day. At that rate, how much
would a $14 wool blanket cost five days later?

Hint: Use the following equation to calculate future price: Future price = (current price) * (inflation rate)^t where t the number of days
in the future.

Instructions: Round your response to one decimal place.

_million?


Answers

Five days later the wool blanket would cost $ 1,400,000.

Given that in Zimbabwe the rate of inflation hit 90 sextillion percent in 2009, with prices increasing tenfold every day, to determine, at that rate, how much would a $ 14 wool blanket cost five days later, the following calculation must be performed:

Future price = (current price) * (inflation rate) ^ number of days

X = 14 x 10 ^ 5

X = 14 x 100,000

X = 1,400,000

Therefore, five days later the wool blanket would cost $ 1,400,000.

Learn more in https://brainly.com/question/850547.

I will give BRAINLIEST

Answers

i would go with choice D

A $280 suit is marked down by 30%. Find the sale price.
The sale price is $


Answers

The sale price of suit will be $196.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A $280 suit is marked down by 30%.

Now,

Since, A $280 suit is marked down by 30%.

Hence, The sale price = $280 - 30% of 280

                                  = $280 - 30/100 × 280

                                  = $280 - $84

                                  = $196

Thus, The sale price of suit = $196.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

15 POINTSSS AND BRAINLIEST
Create two equivalent ratios to 4:7.5, one with the first term more than 50 and one with the first term less than 1.

Answers

1.) 52:97.5
2.) 1:1.875

Hope this helps!

Hi. I need help with these questions (see image)
Please show workings.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the chain rule

Given

y = f(g(x)), then

[tex]\frac{dy}{dx}[/tex] = f'(g(x))  × g'(x) ← chain rule

and the standard derivatives

[tex]\frac{d}{dx}[/tex] ([tex]log_{a}[/tex] x ) = [tex]\frac{1}{xlna}[/tex] , [tex]\frac{d}{dx}[/tex](lnx) = [tex]\frac{1}{x}[/tex]

(a)

Given

y = [tex]log_{a}[/tex][tex]\sqrt{(1+x)}[/tex]

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{lna\sqrt{(1+x)} }[/tex] × [tex]\frac{d}{dx}[/tex] ([tex](1+x)^{\frac{1}{2} }[/tex]

   = [tex]\frac{1}{lna\sqrt{(1+x)} }[/tex] × [tex]\frac{1}{2}[/tex] [tex](1+x)^{-\frac{1}{2} }[/tex] × [tex]\frac{d}{dx}[/tex] (1 + x)

   = [tex]\frac{1}{lna\sqrt{(1+x)} }[/tex] × [tex]\frac{1}{2\sqrt{(1+x)} }[/tex] × 1

   = [tex]\frac{1}{2lna(1+x)}[/tex]

   = [tex]\frac{1}{(1+x)lna^2}[/tex]

(b)

Given

y = ln sinx

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1}{sinx}[/tex] × [tex]\frac{d}{dx}[/tex](sinx)

   = [tex]\frac{1}{sinx}[/tex] × cosx

   = [tex]\frac{cosx}{sinx}[/tex]

   = cotx

Solve the following equation for x 3x-8=7

Answers

x = 5, add 8 to 7 which would equal 15, and then divide it by 3 which equals 5

What is the missing lenght of X and Y?

Answers

Answer:

D. x = 2, y = 2

A customer paid for different items at a farmer's
market. Find the cost for 1 pound for the
following item
$5 for 4 pounds of apples

Answers

$1.25 for 1 pound of apples.
You simply do $5/4 and get 1.25

What is the equation of the parabola?

Answers

Step-by-step explanation:

Show Solution. Start by writing the equation of the parabola in standard form. The standard form that applies to the given equation is (x−h)2=4p(y−k) ( x − h ) 2 = 4 p ( y − k ) . Thus, the axis of symmetry is parallel to the y-axis.

(7x18+45) divided by 3 x 2

Answers

The answer is 114 I’m just doing this for points

Answer: 28 1/2

Step-by-step explanation: (7 x 18 + 45) / 3 x 2

7 x 18

126

126+45

171

3 x 2

6

171/6 / 3/3

57/2

28 1/2

The sales tax rate is 7 1/2%. What is the sales tax rate on a 164.00$ purchase?

Answers

Answer:

$176.30

Step-by-step explanation:

7 1/2% can be simplified to 7.5%

7.5% of 164.00 is 12.30

12.30+164.00=176.30

$176.30

what is true about the line that passes through the points (3 ,-7) and (3, 2)?

A.)horizontal.

B.) Vertical

C.)it rises from left to right

D.)it falls from left to right

Answers

Answer:

B. vertical

Step-by-step explanation:

it is vertical because it shares the same x-axis

Answer:

from my to falls left to right.

What are the coordinates of point K?
A. (3,3)
D. (10,3)
B. (3,7)
E. (10,10)
C. (7,10)

Answers

I think a cuz it logic if I’m wrong sry

Answer: The answer is A, (3,3)

Step-by-step explanation: Because it would have to have the same x value as J, and the same y value as L because of where it is placed.

Rewrite the equation below so that it does not have fractions.
5/6x+2= 7/8
Do not use decimals in your answer.

Answers

Answer:

20x=-27 standard form or

20x+27=0 for implicit form

Step-by-step explanation:

2, 8, 7, 8, 6, 15, 6, 3, 8
What is the range of the data?
A. 2
B. 6
C. 8
D. 13
E. 15

Answers

Answer:

13 or d

Step-by-step explanation:

The range of the data is D. 13

Given that,

The sequence is 2, 8, 7, 8, 6, 15, 6, 3, 8

Calculation:

The range is

= Highest number - lowest number

= 15 -2

= 13

Learn more about the range here: https://brainly.com/question/4135956?referrer=searchResults

Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14
for pi.
a
2144.7 cm
b
254 cm
С
83.6 cm
d
2220 cm

Answers

Answer:

a

Step-by-step explanation:

Volume of water in sphere is 2,143.57 cm³

Given that;

Radius of sphere = 8 cm

Value of π = 3.14

Find:

Volume of water in sphere

Computation:

Volume of sphere = (4/3)πr³

Volume of water in sphere = (4/3)(3.14)(8)³

Volume of water in sphere = (4/3)(3.14)(512)

Volume of water in sphere = 2,143.57 cm³

So, Option "A" is the correct answer to the following question.

Learn more:

https://brainly.com/question/17613357?referrer=searchResults

There are 12 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

That would be:

6/12 x 100
= 50%

Therefore 50% of the fruits are apples.
50% of the fruits are apples

Graph the inequality X+6y<6

Answers

Answer:

can i see the picture?

Robbins Corporation offers terms of 2/10, n/30. The sales tax rate is 6%. Source documents are abbreviated as follows: receipt, R; sales invoice, S; terminal summary, TS. Journalize the transactions. No S is needed in the Sale No. column when journalizing in the sales journal.

Answers

Answer: 1/2500 n

Step-by-step explanation:

Please help I with give Brainiest if correct

Answers

Answer:

sub to メRαǤE_BlɨƬšメ

Step-by-step explanation:

Solve for the value of v

Answers

Answer:

v=31

Step-by-step explanation:

the cube of the sum of 3 and k​

Answers

3k^3 should be the answer.

Can someone please help me figure out the answer

Answers

He has 19 folders in all. 8+6+5=19

Answer:

19 folders

Step-by-step explanation:

8 + 6 + 5 = 19

Rewrite the problem using fewer words. Leave out information that you do not need to solve the problem. Then solve the problem. For a science project, you record the high temperature each day. The high temperature on Day 1 was 6°less than on Day 4 and 4°less than on Day 10. The high temperature on Day 10 was 62°F. What was the high temperature on Day 1?

Answers

Answer:

Each day, you record the high temperature* (you don't necessarily need to say that it is for a science project). On Day 1, it was 4* less than Day 10**. It hit 62* F on Day 10. What was the high temperature on Day 1?

Because we know that on Day 1, the temperature was 4* less than on Day 10, and the high temperature on Day 10 was 62*, the high temperature on Day 1 was therefore 58*. Because 62 - 4 = 58.

Step-by-step explanation:

*You don't necessarily need to say that it was for a science project.

**The information for Day 4 is irrelevant too because we are not given the temperature for Day 4, therefore it does not help us find the answer.

4. One number is 16 more than another. The ratio of the smaller number to
the larger number is 3: 7. What is the value of the smaller number?

Answers

Answer:

12

Step-by-step explanation:

So if the difference between the two number is 16 and the distance between the two numbers in the ratio is 4, that means the real numbers are 4 times greater than the ratio (because 4 * 4 = 16).

This means that you can multiply both sides of the ratio by 4 to get the two numbers 3: 7 --> 3*4: 7 * 4 --> 12: 28.

This means that the smaller number is 12.

hope that makes sense!

The picture shows the deck of a house.
2 m
3 m
3 m
3 m
What is the total area of the deck? Enter the answer in the box.

Answers

Answer:

54m

Step-by-step explanation:

Hope I helped!

Emma ran 30 blocks in 1/4 of an hour. What is her running rate in blocks per hour? ______ blocks per hour

Answers

Answer:

88 because she/he got injured

Someone please help I’m failing and I need it and include explanation please!

Answers

Answer:

X=18

Step-by-step explanation:

This is on a straight line, which is 180° in total.

Information:

106°

4x

On a straight line

106+4x=180

Subtract the 106 from 180 to cancel it out.

4x=74

Divide 4 to both sides to single the x out

x=18.5

state the number of complex roots, the possible number of real, roots, and the number of possible rational roots of...

5x3 – 11x^2 + 7x – 1 = 0

Answers

Answer:

4

Step-by-step explanation:

Other Questions
BABY YOUR LIKE LIGHTING IN A BOTTLE. I THINK I SHOULD GO DOWN TO THE GARDEN. AND OOOOOOH ALL I NED IS TO BE STRUCK BY YOUR____________ please help asap 25ptsToni wrote the following paragraph in a blog about footballs impact on the brain:In a recent article published in the Journal of the American Medical Association, researchers described their findings from a study of university football players. Doctors scanned the brains of players and compared the scans to the brains of men the same age who had never played football.Which feature of the blog tells you that Toni followed a formal style of writing? A. She chose a popular topic. B. She used casual language. C. She used exact language. D. She used simple sentences. The rope was coiled into circularloops about 30 inches in diameter.To the nearest foot, each loop of ropewas about how many feet long? Which of the following statements is TRUE?a.Many tribes encroached upon reservations after successful peace negotiations with the U.S.b.Quakers were assigned to encroach upon Native American tribes in their negotiations.c.Tribal raids continued in reaction to American encroachment on the frontier.d.Quakers used encroachment to help Native Americans assimilate to life on reservations. Felix wants to buy some lemonade for the dinner party. He sees these offers in a shop.Felix decides to buy 2 packs of 8 cans. He thinks 2 packs of 8 cans is more lemonade than 5 bottles of 1 litre.Is Felix correct? Show a check of your working.Use the space below to show clearly how you get your answer.. Single line text.(4 Points) help i need help again fast What number replaces to make the sentence true? 1 + 3 + 4 + 6 + 6 + 8 + 9 + 11 = 4 . 1 Ft = 12 in ? Need help An 8.0-kg object moving with an initial velocity of 8.0 m/s on a surface comes to rest due to friction after it travels a horizontal distance of 11 m. What is the coefficient of kinetic friction between the object and the surface WHY are my cheeks so big and juicy what do I do On a timeline, the statement "April 1861: Confederate forces fire on Fort Sumter and another state secedes" would come directly after which of the following events? A. May 1861: Two more states secede. B. Nov. 1860: Abraham Lincoln is elected president. C. March 1861: Another state secedes and Lincoln takes office. D. Jan. 1861: Four more states secede. Explain how and why weasels' coat color changes seasonally. Oscar owns a bulldog. Another dog owner filed a lawsuit against Oscar alleging that his bulldog injured her pet poodle in a dog park fight. Despite evidence that his bulldog was not present at the dog park when a dogfight broke out, the jury found Oscar liable for injuries caused to the poodle. Based on these facts, Oscar has the legal option to do which of the following? 1) Make a peremptory challenge ((has to do with a juror)) 2) File a motion for a judgment notwithstanding the verdict 3) Motion that the court nullify the verdict based on res judicata(no this has to do with not refiling the case) 4) File a motion for a directed verdict at the end of trial testimony before the case goes to the jury that argues that no reasonable jury could find for opposing party and therefore the judge should make a ruling on the case accordingly according to a mangrove food web which organism is a producer in the mangrove swamp Crab, Mold, Pelican, Or Phytoplankton What is displacement?a. The distance an object travels.b. The distance between the starting point and the ending point of an object'sjourney.C. The amount of time it takes an object to travel to a destination.d. The path in which an object travels. how many 1/2 kg packets of salt can you obtain from 18 kg of salt In context the description of modern poets as "unfortunate fellows / And . . . Atlas" (lines 27-34) suggests that the speaker believes their predicament is ? An experiment consists of first rolling a die and then tossing a coin. (a) List the sample space. {(1, H), (2, H), (3, H), (4, H), (5, H), (6, H)} {(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)} {(3, H), (4, H)} {(1, T), (2, T), (3, T), (4, T), (5, T), (6, T)} {(3, H), (3, T), (4, H), (4, T)}(b) Let A be the event that either a three or a four is rolled first, followed by landing a head on the coin toss. Find P(A). (Enter your probability as a fraction.) P(A) = (c) Suppose that a new experiment consists of first rolling a die and then tossing a coin twice. Let B be the event that the first and second coin tosses land on heads. Let C be the event that either a three or a four is rolled first, followed by landing a head on the first coin toss. Are the events B and C mutually exclusive? Explain your answer. A. Events B and C are mutually exclusive because they have different probabilities. B. Events B and C are mutually exclusive because the first and second coin tosses cannot land on heads when a three or four is rolled first. C. Events B and C are not mutually exclusive because the first and second coin tosses can land on heads when a three or four is rolled first. D. Events B and C are mutually exclusive because they are dependent events. If Lisa earns $45 in 7.5 hours, find her unit rate in dollars per hour. How is energy transferred whenhitting a nail?