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

pls help me solve pls show how you got the answer

Answers

Answer:

$348

Step-by-step explanation:

Unit rate:

Sales clerk: $12/h

Assistant manager: 1/2 x 12= $6/h

Manager: 2 1/2 x 12= $30/h

Now for how long they will work (7.25 hours long):

Sales clerk: 12 x 7.25= $87

Assistant manager: 6 x 7.25= $43.5

Manager: 30 x 7.25= $217.5

In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.

I hope this will help qwq

A rectangular room is 4 times as long as it is wide, and its perimeter is 50 meters. Find the dimension of the room

Answers

Answer:

Width=5m

Lenght= 20m

Step-by-step explanation:

L= Lenght

W= width

perimeter = (2L + 2W) ......eqn(1)

From the question, length of the rectangle is 4 times of it's width

Then

L = (4W)........eqn(2)

But perimeter = 50

Fromeqn(1)

(2L + 2W)= 50........eqn(3)

Sub eqn(1) in eqn(3)

2(4W) + 2W = 50

8W + 2W= 50

10W= 50

W=5

From (1)

L = (4W)

L= 4×5= 20

Lenght= 20

what is the volume of the box

Answers

Answer:

3/32 in^3

Step-by-step explanation:

volume = length * width * height

V=3/4 * 1/2 * 1/4

V= 3/32

Answer:

3/32inches^2

Step-by-step explanation:

The expression x^2 - 10x + 24 is equivalent to

Answers

Answer:

[tex](x−6)(x−4)[/tex]

Step-by-step explanation:

[tex]x^2 - 10x + 24[/tex]

[tex] {x}^{2} −6x−4x+24[/tex]

[tex]x(x−6)−4(x−6)[/tex]

[tex](x−6)(x−4)[/tex]

Hope it is helpful...

Answer:

(x - 4 )(x - 6 )

Step-by-step explanation:

[tex]x^2 - 10x + 24 \\\\=x^2 - 6x - 4x +24 \\\\=x(x - 6) -4(x - 6) \\\\=(x - 4)(x-6) \\[/tex]

I hate math, but math "love" me, keep on sticking to me.

Answers

I love math but math hates me

Is this set of data right-skewed, left-skewed, normal, or something else?

Answers

Answer:

The data represents data right-skewed because it's numerical data are in the right place and showing the percentage of an event/object.

#LearnwithBrainly

M is the midpoint of AD.
What single transformation is required to map one of
these congruent triangles onto the other?
o
B
O Reflection
O Rotation
27
27
O Translation
O Dilation
А
M
D

Answers

Answer:

Mapping congruent triangles

mis the midpoint of ad.

what single transformation is required to map one of

these congruent triangles onto the other?

reflection

o rotation

o translation

o dilation

27

) intro

✓ done

4 of 9​

The single transformation required to map one congruent triangle onto the other is a translation. So, correct option is C.

The given information describes two congruent triangles, triangle ABM and triangle DCM, which share a common side, MC. The lengths of sides BM and MC are given as 27.

To determine the transformation required to map one congruent triangle onto the other, we need to consider the corresponding sides and angles of the triangles.

Since the corresponding sides AB and CD are congruent, and the corresponding side BM and MC are congruent, this suggests a translation transformation. A translation involves shifting the entire shape in a specific direction without any change in size or shape.

Therefore, the single transformation required to map one congruent triangle onto the other is a translation. It would involve moving triangle DCM along the direction of the congruent sides to align it with triangle ABM, while keeping the distances and angles unchanged.

No other transformation (reflection, rotation, or dilation) is needed because the triangles are already congruent, which means they have the same shape and size.

To learn more about transformation click on,

https://brainly.com/question/16356508

#SPJ2

Complete question is:

m is the midpoint of ad. triangles a b m and d c m are connected at point m. sides a b and c d are congruent. the lengths of sides b m and m c are 27. what single transformation is required to map one of these congruent triangles onto the other?

a. reflection

b. rotation

c. translation

d. dilation

Identify the coefficient in the term 7x^2 y^3. A. 7 B. 2 C. 3

Answers

Answer:

7

Step-by-step explanation:

it is because 7 is behind the variables

Which of the following sets is closed under subtraction?

none of the above
prime numbers
rational numbers
positive odd numbers

Answers

The answer is Prime numbers.

Determine the value of a so that x1-3x3=-3 2x1+ax2-x3=-2 (i)unique solution(ii)no solution(iii)many solutions

Answers

Answer:

(i)unique solution

Explanation:

We solve for x1 thus in the first equation:

x1-3x3=-3

x1-9=-3

x1=-3+9

x1= 6

We solve for a thus in the second equation:

2x1+ax2-x3=-2

2+a2-x3=-2

a2-x3=-4

a2=-4+x3

THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?​

Answers

Step-by-step explanation:

THE AMOUNT RECIEVE BY JOY IF SHE WORKED m HOURS AT PHP300 PER HOUR?

hi please mark me as brilliant

The coefficient of "x" in 7-15xz is

Answers

Answer:

-15

Step-by-step explanation:

7-15xz

If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid

Answers

$255 per day
$30.00 x 8.5 =$255

Answer:

About 255

Step-by-step explanation:

$30 x 8.5= $225

Use the Parabola tool to graph the quadratic functions.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola. (Applies to all functions.)

1. f(x)=2x^2−8x+9
2.f(x)=(x+4)^2−6
3. f(x)=(x−1)(x−3)

Answers

Step-by-step explanation:

HOPE IT WILL BE HELPED U DEAR FRIEND

i need help with the function plz!!

Answers

Answer:

[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]

Step-by-step explanation:

Objective:Functions

The table of values range and domain isn't proportional so the answer is exponential.

A exponential function is represented by

[tex]ab {}^{x} [/tex]

The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be

[tex] \frac{1}{4} [/tex]

b=1/4 so plug that in our expression.

[tex]a( \frac{1}{4} ) {}^{x} [/tex]

Let plug in 1,512.

[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]

[tex] \frac{1}{4} a = 512[/tex]

[tex]a = 2048[/tex]

So our function is

[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]

y=4

the common ratio between the number sequence is 4

i solved it by taking 512 and dividing it by the previous number 128 and i did the same to the rest of the numbers and found the common ratio of 4

-BRAINLIEST IF ANSWERED RIGHT-

Given the equation
5+x−12=x−7:

Part A. Solve the equation
5+x−12=x−7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values
x=−4,0,5 to verify your solution to the equation
5+x−12=x−7.
In your final answer, include all of your calculations.

Answers

Answer:

Part A:

[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers)

Part B:

[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]

Step-by-step explanation:

Part A:

Given [tex]5+x-12=x-7[/tex], combine like terms:

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

Add 7 to both sides:

[tex]x=x[/tex]

Since this is merely a true statement for all real numbers (reflexive property), this equation is true for any real value of [tex]x[/tex].

Therefore,

[tex]x\in \mathbb{R}[/tex] ([tex]x[/tex] is equal to all real numbers).

Part B:

Using arbitrary values [tex]x=-4, x=0, x=5[/tex] as requested in part B, verify:

[tex]5+(-4)-12=-4-7,\\-11=-11\:\checkmark,\\\\5+0-12=0-7,\\-7=-7\:\checkmark,\\\\5+5-12=5-7,\\-2=-2\:\checkmark[/tex]

I WILL GIVE YOU BRAINLIEST AS SOON AS I CAN, PLEASE HELP!

Answers

Answer:

1. The given equation is presented as follows;

[tex]3^{2 \cdot x - 1} = \dfrac{1}{9}[/tex]

The above equation can be rewritten as follows;

[tex]3^{2 \cdot x - 1} = 3^{-2}[/tex]...(1)

Therefore, taking logarithm to base 3 of both sides of the equation, the above equation can be rewritten without an exponent as follows;

[tex]log_3 \left (3^{2 \cdot x - 1} \right) =log_3\left(\dfrac{1}{9} \right) = log_3 \left( 3^{-2} \right)[/tex]...(2)

2. Inverse relationship of exponents is given as follows;

(1/a)ˣ = a⁻ˣ

Therefore, we have;

1/9 = 1/(3²) = (3²)⁻¹ = 3⁻²

Taking log of both sides of [tex]\left (3^{2 \cdot x - 1} = \dfrac{1}{9} = 3 ^{-2}\right)[/tex] gives;

[tex]log_3 \left (3^{2 \cdot x - 1} \right)= log_3 \left( 3^{-2} \right)[/tex]

From logarithm rules, we have;

From equation (2), we have;

[tex](2 \cdot x - 1) \cdot log_3 3 = -2 \cdot log_3 3[/tex]

Therefore, the equation can be simplified by dividing both sides by the common factor, [tex]log_3 3[/tex], as follows;

[tex]\dfrac{(2 \cdot x - 1) \cdot log_3 3 }{log_3 3} = \dfrac{-2 \cdot log_3 3}{log_3 3}[/tex]

Therefore, we get;

2·x - 1 = -2...(3)

3. Solving 2·x - 1 = -2, gives;

2·x - 1 = -2

2·x = -2 + 1 = -1

x = -1/2 = -0.5

x = -0.5

EQUATION 3

The given equation is presented as follows;

[tex]125^{x - 1} = 5^x[/tex]

1. By the property of exponents, we have;

[tex]\left(a^b \right)^x = a^{b \times x}[/tex]

125 = 5³

Therefore, we get;

[tex]125^{x - 1}= \left(5^3\right)^{x - 1} = 5^{3\times (x - 1)} = 5^{(3\times x - 3)}[/tex]

[tex]125^{x - 1}= 5^{(3\times x - 3)}[/tex]

2. Given that we can rewrite the given equation as follows;

[tex]125^{x - 1} = 5^{(3\times x - 3)} = 5^x[/tex]

Therefore;

[tex]5^{(3\times x - 3)} = 5^x[/tex]

Both sides of the equation are given in powers of 5, therefore, the appropriate base logarithm to use on both sides to rewrite the equation is logarithm to base 5

3. Using logarithm, by applying logarithm to both sides, we get;

[tex]log_5 \left (5^{(3\times x - 3)} \right) = log_5 \left(5^x \right)[/tex]

[tex](3\times x - 3) \cdot log_5 5 = x \cdot log_5 5[/tex]

Dividing both sides by log₅5 gives;

[tex]\dfrac{ (3\times x - 3) \cdot log_5 5}{log_5 5} = \dfrac{ x \cdot log_5 5}{log_5 5}[/tex]

∴ 3 × x - 3 = x

3 × x - x = 3

2·x = 3

x = 3/2 = 1.5

x = 1.5

Step-by-step explanation:

Each time one of you change the tires and 82 rows each row has an equal number of white and blue tile in town what is y ?

Answers

Answer:

5 blue tiles on each row

Step-by-step explanation:

Given

[tex]Tiles = 80[/tex]

[tex]Rows= 8[/tex]

[tex]Color = \{White, Blue\}[/tex]

[tex]White = Blue[/tex]

See comment for original question

Required

The number of blue in each row

First, we calculate the number of tiles in each row.

[tex]Unit = \frac{Tiles}{Rows}[/tex]

[tex]Unit = \frac{80}{8}[/tex]

[tex]Unit = 10[/tex]

The distribution of tiles on each row is:

[tex]White + Blue = Unit\ Tiles[/tex]

[tex]White + Blue = 10[/tex]

On each row, we have: [tex]White = Blue[/tex]

So, the equation becomes

[tex]Blue + Blue = 10[/tex]

[tex]2\ Blue = 10[/tex]

Divide both sides by 2

[tex]Blue = 5[/tex]

Which transformation performed on Triangle PQR will create an image Triangle P'Q'R' contained entirely in Quadrant II?
A
a counter-clockwise rotation of 90 degrees about the origin

B
a reflection over the x-axis

C
a reflection over the y-axis

D
a translation of 2 units to the left

Answers

C a reflex over the y- axis

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?

Answers

Answer:

The slope of the perpendicular line will 1/3.

Step-by-step explanation:

BRAINIEST IF ANSWERED CORRECTLY
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution. Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation. Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation

Answers

An example of something that doesn't have a solution is something like x+2 = x+3

If we subtract x from both sides, then we end up with 2 = 3, which is always false.

No matter what we plug in for x, the original equation will always be false. The right hand side is always 1 larger than the left side. So that's why we don't have any solutions here.

Side note: equations of this form are known as contradictions (or we could say the equation is inconsistent).

=====================================================

An example of something that has one solution is 3x+2 = 2x+7

Solving this equation leads us to...

3x+2 = 2x+7

3x-2x = 7-2

1x = 5

x = 5

To verify the solution, we plug it back into the original equation

3x+2 = 2x+7

3(5)+2 = 2(5)+7

15+2 = 10+7

17 = 17

We get the same thing on both sides, so we get a true statement. This confirms that x = 5 is the solution to 3x+2 = 2x+7.

=====================================================

An example of an equation with infinitely many solutions is 2x+4 = 2(x+2)

Notice how both sides are the same thing. The 2(x+2) distributes out to get 2x+4

Since we have the exact same identical expression on both sides, this ultimately means no matter what we plug in for x, we'll get a true statement. True statements (like the conclusion at the last section) are simply anything with the same number on both sides after simplifying everything.

Side note: equations of this form are known as identities

Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he buys 7.5 pounds of steak, how much money does he spend?

Answers

Answer:

$72.15

Step-by-step explanation:

x= pounds of steak

$[tex]9.62x[/tex] = money spent on steaks

If Neil buys 7.5 pounds of steak then x =7.5

$9.62(7.5) = $72.15

Answer:

$72.15

Step-by-step explanation:

1 pound = $9.62

7.5 pounds = $9.62 × 7.5

= $72.15

anyone know the answer

Answers

Answer:

i have no clue

Step-by-step explanation:

Given that triangle GHJ = triangle XYZ What is m

Answers

Do u have a picture of the assignment?

identify the center and radius of the circle with equation.

( please help me )

Answers

Answer:

Center = (4, -5)

radius = 6

======================================================

Explanation:

The general template of any circle is

(x-h)^2 + (y-k)^2 = r^2

Rewrite the given equation into this form

(x-4)^2 + (y- (-5))^2 = 6^2

We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.

Choose the methods of solving quadratic equations

Completing the Square
Factoring
Square Root Method
Area Formula
Simplifying
Cross Multiplication
Guess and Check
Quadratic Formula
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.

x2 + 8x - 5 = 0
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve this quadratic equation using the quadratic formula.

2x2 - 2x = 1

Answers

Answer:

Factoring square root method quadratic formula completing the square method . x1=3+(check)3 and x2=3-(check)3 .

Step-by-step explanation:

Have an amazing day<3 thirty percent chance this is right 70 it’s wrong

What is the approximate volume

Answers

Answer:

3053 in^3

Step-by-step explanation:

volume of a sphere is 4/3*pi*r^3

Diamaeter is 2*r

so r=9

7/3*(3.14)*9^3=3053.63 so answer is D or the bottom

Answer this question pls? Its 20 pts

Answers

Answer:

B   a = 180 -77-60

Step-by-step explanation:

The angles add to 180 degrees since they form a straight line

77+ 60+a = 180

a = 180 -77-60

The answer is B.

Step-by-step explanation:

We know that the sum of angles in a straight line = 180°

Therefore:

77° + 60° + a = 180°

a = 180° - 77° - 60°

Hence, option B is the answer.

Which graph represents the function y - 3 = 3/2 (x-4)

Answers

Answer: Should be the graph with the slope of (3/2)

1. When 36 is subtracted from the square of a number, the result is five times the number. Create and solve an equation to find the possible values of this number. ​

Answers

Answer:

[tex]x^{2} -36 = 5x[/tex]

[tex]x^{2} -5x -36 =0[/tex]

(x-9)(x+4) = 0

x = 9 or x= -4    

Step-by-step explanation:

Other Questions
hank paid #3.50 for 2 hamburgers. how much will he pay for 8 hamburgers? Read the excerpt from The Strange Case of Dr. Jekyll and Mr. Hyde. "I can't pretend that I shall ever like him," said the lawyer. "I don't ask that," pleaded Jekyll, laying his hand upon the other's arm; "I only ask for justice; I only ask you to help him for my sake, when I am no longer here." Utterson heaved an irrepressible sigh. "Well," said he, "I promise." Which type of conflict is most suggested by the line "Utterson heaved an irrepressible sigh"? character vs. Nature character vs. Society character vs. Self character vs. Character Consumers' Willingness to Pay Musashi: $25 Jacques: $40 Kyoko: $35 Rina: $10 Firms' Costs Firm A: $15 Firm B: $30 Firm C: $20 Firm D: $10 Each firm has the capacity to produce only one haircut. For efficiency, should be given. Which businesses should cut hair What best describes the endocrine systemA. system of transportB. network of hormone-producing glands the control actions of the organismC. network of tissues that respond and send messages D. it is the network of nerves that coordinate bodily functions Find the measure of the missing angles to name the shortest and longest sides. (2x) x+15) 1. X= 2. Help help help help help A figure is shown with the given dimensions.What is the area, in square feet, of the figure? A hydronium ion:______.a. has the structure H3O. b. is a hydrated hydrogen ion. c. is a hydrated proton.d. is the usual form of one of the dissociation products of water in solution.e. all the answers above are correct. In 3 sentences summarize what you learned about the tsi test plz help math i ned to mathhow much oak planks are made with one oak log in cwaft mine What is the measure of AngleCAB? Please help me i need someone to help! Identify the type of function represented byf(x) = 4.2%O A. Exponential growthO B. Exponential decayO C. Decreasing linearO D. Increasing linear Why did secretary of defense say that the United States needs Russia as an adversary? If a Guinea Pig is in labor ready to give birth, do I have to bring it to the vet, or is it fine giving birth at home? calculate the volume of a ball having a radius of 8 cm what are the adjectives in this sentence: the class cheered when Sonia had finished reading her funny poem. what is the solution to this equation? 4x+16-x=22+6 what is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)? A statistics teacher found that the average quiz score in her class is 86%, and the average test score in her class is 81%.Which of the following is the best way to represent this data?A. using a bar graph where one has a length of 86 units and one bar has a length of 81 unitsB. using a square with a side length of 86 units and a square with a side length of 81 unitsC. using a pie chart with one section labeled 86% and one section labeled 81%D. using a cube with a side length of 86 units and a cube with a side length of 81 units