In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.
Find the area of triangle ABC.

Answers

Answer 1

Answer:

Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 [tex]Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}[/tex]

Find Area :

[tex]s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15[/tex]

[tex]Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\[/tex]

      [tex]= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}[/tex]

      [tex]= 42 . 43 \ cm^2[/tex]


Related Questions

Which of the following statements are true?

Answers

Answer:

I am not 100% sure but like 75 % sure its A,c , and e

Step-by-step explanation:

Mike and his dad are retiling his bathroom floor. They have budgeted $200 for the tiles and supplies. The tiles cost $1.85 each and they have spent $114.90 on supplies. Write an equation and solve the equation.

Answers

Answer:

Equation: $114.90 + $1.85x = 200

Solution: They can buy 46 tiles.

Step-by-step explanation:

First, subtract 114.90 from both sides to get 1.85x = 85.10.

Divide 85.10 by 1.85 to get 46, which is the answer.

A number x cubed is six

Answers

Answer:

x = 1.817

Step-by-step explanation:

[tex]x^3 = 6\\\sqrt[3]{x} = \sqrt[3]{6} \\x = 1.817[/tex]

What’s the length of AB?
-12 UNITS
-6 UNITS
-10 UNITS
-14 UNITS

Answers

Answer:

the answer would be ten units

Step-by-step explanation:

use the Pythagorean theorem

A^2 + b^2 = C^2

8^2 + +6^2 = 10^2

Which of the following is the equation of a line that passes though the points (2,5) and (4,3)

Answers

Answer:

y= -1x+7

or

y = -1x + b

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(2,5) and (4,3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.

Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.

Now, just plug the numbers into the formula for m above, like this:

m=

3 - 5

4 - 2

or...

m=

-2

2

or...

m=-1

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,5). When x of the line is 2, y of the line must be 5.

(4,3). When x of the line is 4, y of the line must be 3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.

(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,5) and (4,3)

is

y=-1x+7

Toni goes to a department store and buys two shirts marked the same price. She pays full price for the first shirt but gets a 40% discount on the second shirt. If she pays a total of $32.40 for the two shirts, how much did she pay for the second shirt? -Please give a real answer

Answers

Answe$12.15

Step-by-step explanation:

She paid 60% of the price...

x + .6x = 32.40

1.6x = 32.40

x=20.25

20.25 * .60 = 12.15

You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*

1. 4.010 ounces.
2. 4.007 ounces.
3. 24.042 ounces.

Answers

2 add them all together and divide by 6 and you get 4.007

The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.

We know that, average = Sum of all the observations/Number of observations

Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6

= 24.042/6

= 4.007 ounces

Therefore, option 2 is the correct answer.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ3



John spends $94 to buy packages of cleaning supplies for a camp. He buys t packages of
towels, each package is $6 and contains 8 towels. He also buys s packages of soap; each
package is $4 and contains 10 bars of soap. John buys 20 packages of cleaning supplies
altogether. Write a system of equations to represent the packages of cleaning supplies John
buys

Answers

Answer:

B

Step-by-step explanation:

step

The answer is b I how that helped

can someone please help

Answers

Answer:

x = 13

Step-by-step explanation:

→ Remember the amount of degrees a triangle sums to

180°

→ Make an equation

8x - 44 + 8x - 44 + 8x - 44 = 180

→ Simplify

24x - 132 = 180

→ Add 132 to both sides

24x = 312

→ Divide both sides by 24

x = 13

The initial temperature of a solution was 16°C. The temperature dropped 3°C every minute. What was the temperature of the water after 15 minutes in °C?​

Answers

Answer:

1 degree c

Step-by-step explanation:








Which of the following describes point H?

Answers

X axis ; 3
Y axis ; -3

Your answer ; 3, -3

Which list of numbers can be described by the following rule?



A. 33,49,67


B.65,49,33

C.33,49,65

D.65,48,33

Answers

Answer: Choice C

Explanation:

first term = 33

second term = first term + 16 = 33+16 = 49

third term = second term + 16 = 49+16 = 65

We're adding 16 to each term to get the next term.

Answer:

c is correct

mark as brainiest please

A number is divided in the ratio 7 : 5. if the second part is 150, find the number . ((answer with solution and explaination ))​​

Answers

Answer:

1500 because if you mutiply by 35 u will get it

Step-by-step explanation:

Answer:

ratio of required answer

7×(:)5×

also given

=)5×=150×=¹=30

5

now putting the value of × in another give

Required mum

7x+5x

12x

2(30)=360

Step-by-step explanation:

HOPE IT'S HELP

a trapezoid has parallel sides of length 26 mm and 44 mm. its other sides measure 10 mm and 17 mm. what is the length of the bimedian joining the two non parallel sides?

Answers

Answer:

35 mm.

Step-by-step explanation:

That would be (26 + 44)/2

= 70/2

= 35 mm.

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 16, 24, blank. Triangle 2 has side lengths 12, 18, blank.
a.
StartFraction 12 Over 24 EndFraction = StartFraction 18 Over 16 EndFraction = StartFraction 1 Over 2 EndFraction
b.
StartFraction 12 Over 18 EndFraction = StartFraction 16 Over 24 EndFraction = StartFraction 2 Over 3 EndFraction
c.
StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction
d.
StartFraction 18 Over 12 EndFraction = StartFraction 24 Over 16 EndFraction = StartFraction 3 Over 2 EndFraction



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

the correct answer is

C.

StartFraction 12 Over 16 EndFraction = StartFraction 18 Over 24 EndFraction = StartFraction 3 Over 4 EndFraction

Evaluate 2(x+ 1 - 3 when x = 6 O Ο Α. 11 OB. 5 O C. 8 ( D. 10

whoever answers this first will get 25 points ​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:11}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]2 \: ( \: x + 1 \: ) - 3[/tex]

Plugging in the value "[tex]x\:=\:6[/tex]" in the above expression, we have

[tex] = 2 \: ( \: 6 + 1 \: ) - 3[/tex]

[tex] = 2 \: ( \: 7 \: ) - 3[/tex]

[tex] = 14 - 3[/tex]

[tex] = 11[/tex]

Note:-

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

28. The edges of a cube are all increased by
10%. What is the percentage increase in the
volume?

Answers

Answer:

Percentage increase in volume will be

33.1

%

Step-by-step explanation:

Let the each edge of cube be

100

units.

Then its volume is

100

3

=

1000000

cubic units.

If each edge increases by

10

%

it becomes

110

units

and volume becomes

110

3

=

1331000

cubic units

Therefore increase in volume is

1331000

1000000

=

331000

cubic units

and percentage increase in volume is

331000

1000000

×

100

%

=

331

10

%

=

33.1

%

15 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when

Answers

You didn't specify what the question was. However, I am going to assume you are looking for the missing side of the shape.

Let's call the left side "Side A" and the right side "Side B". One is longer than the other side. In this case, Side B is longer than Side A. To find the missing length, you will need to subtract Side A from Side B

Side B - Side A = Missing side

16 - 13 = 3

Therefore, the length of the missing side is 3.

Solve the system by substitution.
y = -5x
y= -7x – 14

Answers

Answer:

x = -7       y = 35

Step-by-step explanation:

-5x = -7x - 14

2x = -14

x = -7

y = -5(-7)

y = 35

Find the value of x in the isosceles triangle shown below.

Answers

Answer:

22.18 = x

Step-by-step explanation:

a^2 + (b)^2 = (x/2)^2

a = sqrt(74)

b = 7

x/2 = ?

(74)[^1/2]^2 = 74            

b^2 = 7^2 = 49

74 + 49 = (x/2)^2       Substitute into a^2 + b^2 = c^2

123 = (x/2)^2              Combine like terms

(123^0.5) = x/2           Take the square root of both sides.

11.09 = x/2                  Multiply both sides by 2

11.09*2 = x

22.18 = x                     The full length of the base of the triangle is 22.18

Answer: C

Step-by-step explanation: We only need to find the value of one of the x so just use Pythagorean theorem but simplified to do it in one step which is sqrt(4^2+6^2) which gives us sqrt(52).

6ײ+3×y-2a×-ay (need answers) ​

Answers

Answer:

(If the x means the variable in your equation) 2a^2y+6x^2+3xy

Step-by-step explanation:

We have to simplify the equation to find the answer

6x^2+3xy−2a(−a)y

=6x^2+3xy+2a^2y

What is the height of the tower? Round to the nearest tenth.
How tall is the tower?

Answers

Step-by-step explanation:

call the height of the tower x

we have tan30°=x:200 so we can find x


Find the value of x segment addition

Answers

Answer:

6

Step-by-step explanation:

4+x-3=2x-5

1+x=2×-5

2x-x=6

x=6

"4 + 3" is an example of a(n) ___

Answers

Answer:

Additive property of association?

You did not specify what kind of answer you are looking for.

You could just be looking for something like "addition problem" or "polynomials" or anything.

I will edit or comment an answer if this gets editted with a bit more specification. :D

Step-by-step explanation:

encontrar la x y explicar el resultado

[tex]\sqrt{2x+6} = 2[/tex]

Answers

2x=4-6 we switched the variable
2x=-2 divided equation by two on each side
X=-

the difference between 8 times a number and 3 is equal to -19 what's the number

Answers

Answer:

-2

Step-by-step explanation:

x = the number

difference refers to subtraction

(8*x) - 3 = -19

8x - 3 = -19

      + 3   + 3

8x = -16

/ 8    /8

x = -2

Hope that helps!

Answer:

- 2

Step-by-step explanation:

let the number be n , then

8n - 3 = - 19 ( add 3 to both sides )

8n = - 16 ( divide both sides by 8 )

n = - 2

The number is - 2

Determine f(a+h)-f(a)/h for f(x)=x^2+5x

Answers

Answer:

2x + 5

ok.. slightly silly question...

you will eventually learn that this formula is the

formula for the "derivative" in calculus....

A[tex]x^{b}[/tex] becomes (a*b)  [tex]x^{b-1}[/tex]

2x + 5

Step-by-step explanation:

help please, 17 points for this question

Answers

Answer:

24 and 15

Step-by-step explanation:

Answer:

it is not 17 points for this question it is 9 points.

Please solve 5 and 6 only ​

Answers

Answer:

5. 80%

6.1.05 kilograms

Step-by-step explanation:

5. Plugging in the values into the formula, we get:

% difference = |60000 - 140000(60000 + 140000)/2| × 100% =

|60000-140000200000 / 2| × 100% =

|-80000100000| × 100% =

80000100000 × 100% =

0.8 × 100% =

80%

If this helps you, please mark brainliest!

Have a nice day!

6. 25% of 4kg 200g=1.05 kg

help----------------------------

Answers

Answer:

One solution;

[tex]x=-1\frac{2}{7}[/tex]

[tex]y=-5\frac{3}{7}[/tex]

Step-by-step explanation:

The method of elimination is a way of solving a system of equations. There are many steps involved in this process. First, one must manipulate one of the equations in the system by multiplying each term in it by a certain number such that one of the variables is the inverse of the other like the variable in the other equation. Then one must add the two equations. This will eliminate one of the variables in the equations. After doing so, one has to use inverse operations to solve for the other variable. Finally, one will back solve, substitute the value of the solved variable into one of the equations and solve for the remaining unknown variable.

[tex]\left \{ {{y=5x+1} \atop {y=-2x-8}} \right.[/tex]

Manipulate the system;

[tex]\left \{ {{y=5x+1*(-1)} \atop {y=-2x-8}} \right.[/tex]

Simplify,

[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]

Add the equations,

[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]

[tex]0=-7x-9[/tex]

Inverse operations,

[tex]0=-7x-9[/tex]

[tex]7x=-9[/tex]

[tex]x=-\frac{9}{7}[/tex]

[tex]x=-1\frac{2}{7}[/tex]

Backsolve,

[tex]y=-2x-8[/tex]

Substitute

[tex]y=-2(-\frac{9}{7})-8[/tex]

Simplify,

[tex]y=-2(-\frac{9}{7})-8[/tex]

[tex]y=\frac{18}{7}-8[/tex]

[tex]y=\frac{18}{7}-8\\y=-\frac{38}{7}[/tex]

[tex]y=-5\frac{3}{7}[/tex]

Other Questions
what is the speakers career Students who have read a section of a text and do not understand it shouldkeep reading until the end of the story, when things will become clear.ask themselves when comprehension was lost.begin to copy any remaining text into their notes.push themselves to read faster in order to finish early and review. Lewis Corporation has two service departments: Data Processing and Administration/Personnel. The company also has three divisions: X, Y, and Z. Data Processing costs are allocated based on hours of use and Administration/Personnel costs are allocated based on number of employees. Department Direct Costs Employees Hours of use Administration/ Personnel $400,000 10 3,300 Data Processing 850,000 5 1,100 X 450,000 30 1,800 Y 300,000 15 2,200 Z 550,000 25 4,500 Assume that Data Processing provides more service than Administration/Personnel. Refer to Lewis Corporation. Assume that Data Processing costs have been allocated and the balance in Administration is $600,000. Using the step method, what amount is allocated to Y what is 11010^2 - 1101^2 Which of the following functions is graphed below? A trailer is 22 feet long. 9 feet wide,and 7 feet high. What is the volume ofthe trailer? Wayne is picking out some movies to rent, and he is primarily interested in dramas and horror films. He has narrowed down his selections to 7 dramas and 16 horror films. How many different combinations of 3 movies can he rent if he wants at least two dramas Three times a year previous donors receive donation cards in the mail from the local zoo. This organization also markets to visitors by sponsoring Make-A-Wish visits from the regional hospitals. What type of marketing did the zoo use The diagram shows a rectangle PQRS.PQ = 14 cm and QR = 9 cm.The point A lies on PS so that PA = 5 cm.The point Blies on SR so that BR = 8 cm. Qu oracin usa el pretrito perfecto de subjuntivo correctamente?Esperar que la entrevista de trabajo haya sido un xito. Espero que la entrevista de trabajo haya sido un xito.Esperaba que la entrevista de trabajo fuera un xito.He esperado que la entrevista de trabajo haya sido un xito. What are your concerns while preparing for an interview? What is the surface area of the regular pyramid below? what were the orgins of the slaves who came to the cape Think about that the C, B and S parameters of a Cache. Think about what happens to compulsory, capacity, conflict misses, if only each of the following parameter changed (the other two are kept the same)? (i) C is increased (S, B same) (ii) S is increased (C, B Same) (iii) B is increased (C, S Same) At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017 a)A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction. One of the nuclides in spent nuclear fuel is U-235, an alpha emitter with a half-life of 703 million years. How long will it take for an amount of U-235 to reach 23.0% of its initial amount How does the magnetic force vary with distance as a result of its location in west Asia the Arabian Peninsula: A)all of the choices are correct B)was isolated from the civilizations of the world C)become an important center for trade D)had a pleasant. Mediterranean climate Minor Electric has received a special one-time order for 1,100 light fixtures (units) at $9 per unit. Minor currently produces and sells 8,500 units at $11.00 each. This level represents 85% of its capacity. Production costs for these units are $8.50 per unit, which includes $6.50 variable cost and $2.00 fixed cost. To produce the special order, a new machine needs to be purchased at a cost of $1,200 with a zero salvage value. Management expects no other changes in costs as a result of the additional production. Should the company accept the special order