Work out the area of triangle ABC.

Work Out The Area Of Triangle ABC.

Answers

Answer 1

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²


Related Questions

a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items

Answers

Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

[tex]p_1 = 2000x - 10500[/tex]

The profit (p2) on the second item is given as:

[tex]p_2 = 1850x - 11600[/tex]

So, the total profit (p) on the sales of both items is:

[tex]p = p_1 + p_2[/tex]

Substitute known values

[tex]p = 2000x - 10500 + 1850x - 11600[/tex]

Collect like terms

[tex]p = 2000x + 1850x- 10500 - 11600[/tex]

[tex]p = 3850x-22100[/tex]

Hence, the expression that represents the total profit is 3850x - 22100

Read more about profits at:

https://brainly.com/question/23103804

graph y= -4/3 x+2 using the slope and y-intercept

Answers

Answer:

i hope this helps or some-what helps

Step-by-step explanation:

There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?

Answers

Answer:

1/3 of the day

Step-by-step explanation:

8/24 simplifies to 1/3

8/24 (hours slept by james) = 1/3 (simplified)

Greg is looking for the best deal on a tablet that regularly cost $789 help and compare the price of the tablet at a store with the price on the store website by completing the following. The stores website is offering the tablet 80% discount off the regular price ignoring tax and shipping how much would he pay for the tablet on the stores website

Answers

Answer:

157.8

Step-by-step explanation:

so since its on a 80% discount we want to see how much 80% is on $790 which was its initial price. To find out the percentage of $790 we need to multiply $790 by 0.80 which will equal to 631.2.

the answer is 157.8

you have to subtract 790 with 631.2

Ok ixl is back up so here’s another question

Answers

Answer:

40 products

Step-by-step explanation:

If you take a look at the graph, you'll see that 300 seconds (on left) are required to complete a transaction of 40 products (on bottom).

i need help with this question

Answers

Divide x by y and compare:

5/1 = 5

10/2 = 5

20/4 = 5

All 3 are the same number so yes the rate of change is constant.

Answer:

Yes

Step-by-step explanation:

We can see that the correlation between x and y is

x = y/5

or

y = 5x

HELP!!! PLEAAASSEEEE

Answers

Answer:

RT

Step-by-step explanation:

please mark brainliest

7. (6 points) Sam can paint a house in 3 hours. When Sam and Jordan work together, they can paint
2 houses in 5 hours. If Jordan works alone, how long will it take for Jordan to paint one house? Show
all work, and write your final answer as a fraction with units.

Answers

Answer:

1/3 +1/5 per hour

Step-by-step explanation:

hope i helped sorry if i didn't

BRAINLIEST
Please answer these

Answers

2. A=49 Pi, C=14 Pi   3. A=225 pi, C=30 pi

4. A=104.04, C=20.4 pi  5. A=20.25 pi, C=9 Pi

Answer:

Step-by-step explanation:

You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?

Answers

Answer:

$5089.38

Step-by-step explanation:

Given cylinder with:

d = 24 ft, h = 6 ft

We need to fill it up to:

h = 6 ft * 3/4 = 4.5 ft

The volume is:

V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)

You need to spend:

2035.75 * $2.50 = $5089.38  (rounded)

Bruno and Amelia have 112 newspapers to deliver. Bruno delivers three fourths of the news papers, Amelia delivers one seventh pf the papers. How many papers are left to be deliverd

Answers

Answer:

f

Step-by-step explanation:

A function is defined as k(x)=2x^2 - 5x + 3 The value of k(-3) is

Answers

Answer:

36

Step-by-step explanation:

k(-3) = 2(-3)² - 5(-3) + 3

= 18 - (-15) + 3

= 33 + 3

= 36

I’m very confused! Please help me (I’ll mark brainliest if you explain!)

Answers

Answer:4 **rounds

Step-by-step explanation:

It’s dividing by 2 each time.

Answer:

4 more rounds

Step-by-step explanation:

you will see there is a pattern which is dividing by 2

16/2=8

8/2=4

4/2=2

2/2=1

but since thats not an option i think it would be 8 dont ask its would be eight if not 4

Cooper drove his car for 2 hours at a constant speed of 60 miles per hour and then for another 30 minutes at a constant speed of 40 miles per hour. How far did Cooper drive?

100 miles
170 miles
180 miles
160 miles

Answers

60miles+40miles=100miles

Answer:

None of the answer choices show the correct answer.

The actual answer is 140 miles.

Step-by-step explanation:

Since Cooper drove 60 miles per hour for 2 hours, that means that he drove 120 miles for the first 2 hours.

60 * 2 = 120

Cooper then drove for another 30 minutes at a speed of 40 miles per hour.

30 minutes is half of and hour so we need to divide the 40 miles by 2.

40 / 2 = 20

Now we just have to add them together.

120 + 20 = 140

So the answer is 140 miles.

Hope this helps! :)

૮ ・ﻌ・ა

HELPPP my winter break packet is confusing

Answers

true false false true

Answer:

Step-by-step explanation:

318 / 40 = 7.95

each store got 7 boxes of milk

40 x 7 = 280

318 - 280 = 38

38 boxes got stored

so

true

false

false

true

ANSWER THIS SECOND On a typical night at a restaurant, the patio lights use 210.28 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.

Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
210.28 ÷ h
B.
210.28 - h
C.
210.28 × h
D.
210.28 + h

Answers

Answer: choose the one that is addition... trust me

Step-by-step explanation:

Which is the graph of f(x) = 2(3)*?

Answers

Answer:

First option (top left)

Step-by-step explanation:

Since the coefficient of this equation, [tex]2(3)^{x}[/tex], is 2, when x is 0, then y must be 2. The graph must have a y-intercept of 2. You can find this by plugging this in.

I cannot see the fourth graph, but the second graph does not have a y-intercept of 2, therefore it can immedeately be ruled out.

Then we plug in the coordinates they give.

It just so happens that the first one, [tex]2(3)^1[/tex] is indeed equal to 6.

We can check that this is right by disproving the third one (top right).

[tex]2(3)^2=18[/tex], not 8, therefore our third answer choice is false.

The fourth one is definetly wrong because the y-value at x=2 (as we have already calculated) is 18, not 12.

Therefore, our first answer, the one on the top left, is correct.

note: for this problem you did not even need to find the y-intercepts. Plugging in the coordinates would be fine by its own (the second answer choice is already wrong just because of the coordinates since 9≠6(found in answer choice 1)). However, having the y-intercept handy will be very helpful if there is more than one answer choice with correct coordinates.

7 is a factor of
a 28
b 16
c 11
d 4

Answers

Answer:

a) 28

Step-by-step explanation:

Round 6 734 591 to 2 significant figures

Answers

6 700 000 is the answer because 2 significant figures just means the first two numbers and then the rest 0

Answer the following for 10 points

Answers

Answer:

Regional metamorphism

Step-by-step explanation:

(all definitions below are NOT my own definitions, but burrowed from trustworthy informational sites)

It is not Sediment Layering because Sediment Layering is sedimentary rocks layers are piled one on top of the other.

It is not Cooling of Magman because Cooling of Magman is elements within the magma combine and crystalize into minerals that form an igneous rock.

It is not Contact Metamorphism because Contact Metamorphism is metamorphism due to contact with or proximity to an igneous intrusion.

It IS regional metamorphism because it is metamorphism affecting rocks over an extensive area as a result of the large-scale action of heat and pressure.

3. There are 12 red balloons and 14
blue balloons in the bouquet.
What is the ratio of red balloons to blue balloons?

Answers

Answer:

6:7

Step-by-step explanation:

Divide 12 and 14 by 2 to simplify the ratio.

Answer: 6:7

Step-by-step explanation:

The number of red balloons in 12 and the number of blue ones is 14, which can be written as 12:14. 12:14 can be simplified to 6:7

I could not find the answer so I guessed and got it right here you go

Answers

(1/4) + (-21/8) = -19/8 = -2.375
Ok done. Thank to me:>

Answer:

u can use the scientific calculator to answer this question easily.

Step-by-step explanation:

Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 feet.

What is the height of the scale model in inches?

Answers

Answer:

  28 inches

Step-by-step explanation:

We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.

The height of the scale model is 28 inches.

y-3=? Help please!! Thank you!

Answers

Answer:

\mathrm{Axis\:interception\:points\:of}\:Y-3:\quad \mathrm{X\:Intercepts}:\:\left(3,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-3\right)

Step-by-step explanation:

It's just y-3 because they aren't like terms if you're talking about algebra.

This question was brief so I'm not sure what you're a skin but this is the algebra answer.

HELPP PLEASEE! pleaseeeeee

Answers

Answer:

a = 14 km

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh  where b is the base and h is the height

112.7 = 1/2 ( a) 16.1

112.7 = 8.05a

Divide each side by 8.05

112.7/8.05 = a

14 =a

a = 14 km

PLZZZZZ HELP ME. How many solutions does 2x - 1 = 2x + 3 have? One? Zero? Or Infinite? PLZ HELP ME ITS DUE IN 10 MINSS!!!!!!!!!!!!!!!!!!

Answers

Answer:

No Solution

Step-by-step explanation:

2x - 1 = 2x + 3 Combine the like terms.

0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.


How do the values compare? Order the values from least to greatest.

-1/2
| -2 |
| 1/2 |
| -2 1/2 |
- 2 1/2
1 1/2

Answers

Im pretty sure it would be ordered: -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

This is because
-1/2 stays as -1/2
the absolute value of |-2| is 2
the absolute value of |1/2| is 1/2
the absolute value of |-2 1/2| is 2 1/2
-2 1/2 stays as -2 1/2
and 1 1/2 stays the same as well.
If you take all these numbers (-1/2, 2, 1/2, 2 1/2, -2 1/2, and 1 1/2) and order them from least to greatest, you would get:
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2
which is -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

Im not exactly sure if it is all correct, but i hope this helps! :)

how many 4/5 are in 2

Answers

2 I think I actually don't know but the best guess would be 2

Answer:

1/10

Step-by-step explanation:

What is the value of x in the solution to this system of equations?

y+5x=-1
y=1/2x+32

A. -198/29
B. 29
C. -6
D. 37/33

Answers

Step-by-step explanation:

the answer should be a I think

Someone please help me with this

Answers

Answer:

0.55=c

Step-by-step explanation:

0.55(2)=c

1.10=c

The total cost is $1.10

Other Questions
Which statement describes the particles in a liquid?A. They do not move.B. They are far apart.C. They are close together.D. They are locked in position. What is the Point slope for -4,3 and 4,3? Help plz consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a To balance a redox reaction, what must be done?The ion charge on both sides of the equation must equal zero.Water must be added to both sides of the equation.The increase and decrease in oxidation numbers must be balanced.H+ and OH must be added to opposite sides of the equation. multiply 8 by 10, then subtract t from the result The trachea, the bronchial tree, and the lungs are part of which tract? Solve for x : 3x - 24 = 81 "Kings are absolute seigneurs [lords), and from their nature have full and freedisposal of all property both secular (worldly) and ecclesiastical (religious], touse it as wise dispensers, that is to say, in accordance with the requirementsof their State."SOURCE: Louis XIV, king of France, letter to the crown prince of France, ca. 1660Based on the passage, what did absolute monarchs attempt to do? *1 pointO Centralize their power and increase their personal authorityO Acknowledge the superiority of Constitutional monarchsO Establish colonies and monopolize international tradeO Wave their arms under bed sheets and pretend they are ghosts CWhich of these regulations is established at the federal level? HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP You want to determine which cellphone provider would give you the best service. is it Experimental vs. Observational Which sentence in this conclusion paragraph most clearly reminds the reader of the main points? (1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading. (3) Indeed, the ending of the story suggests that his faith is never restored. (4) In many ways, Goodman Brown's relationship with faith and Faith is a warning. O A. Sentence 1 B. Sentence 4 O C. Sentence 2 D. Sentence 3 All changes saved8. Logan can run five miles in one hour. How manyminutes does it take for him to run each mile? NEED HELP ASAP!! Please no links!! (7c+8d)0.6khan academy pls help. find the slope of a line that contains the points (0,1) and (1,3) Can you please help me?! Plzzz help me I need help I gotta turn this in tomorrow give short account of Battle of hunain Explain "Honouring a labour should be taken as honouring one's life".