The perimeter of an isosceles triangle is 380 cm and it’s unequal side is 150 find the area of triangle (by Heron’s formula)

Answers

Answer 1

Answer:

A ≈ 6538.35 cm²

Step-by-step explanation:

Calculating the area (A) using Heron's formula

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

where s is the semi perimeter and a, b, c the 3 sides

here

s = 380 ÷ 2 = 190

given perimeter = 380 and unequal side is 150 , then

equal sides = (380 - 150) ÷ 2 = 230 ÷ 2 = 115 cm

then a = 150, b = 115 , c = 115

A = [tex]\sqrt{190(190-150)(190-115)(190-115)}[/tex]

   = [tex]\sqrt{190(40)(75)(75)}[/tex]

   = [tex]\sqrt{42750000}[/tex]

   ≈ 6538.35 cm² ( to 2 dec. places )


Related Questions

−2 1/4×(−1 1/3)[tex]−2 1/4×(−1 1/3)[/tex]

Answers

The value after multiplying the given mixed fractions is 7/6   .

In the question ,

it is given that ,

the two mixed fraction are given as [tex]-2\frac{1}{4}[/tex]  and [tex]-1\frac{1}{3}[/tex]  ,

we need to find their value after multiplication .

we first convert the mixed fractions into improper fraction ,

So ,

[tex]-2\frac{1}{4}[/tex] = (-2×4+1)/4 = (-8+1)/4 = -7/4

and

[tex]-1\frac{1}{3}[/tex] = (-1×3+1)/3 = (-3+1)/3 = -2/3

So , the product of -7/4 and -2/3 is written as

= -7/4 × -2/3

= (-7 × -2)/(4 × 3)

= 14/12

after simplifying ,

= 7/6

Therefore , The value after multiplying the given mixed fractions is 7/6   .

The given question is incomplete , the complete question is

Find the value after multiplying the given mixed fraction [tex]-2\frac{1}{4} \times -1\frac{1}{3}[/tex]   .

Learn more about Multiplication here

https://brainly.com/question/1817817

#SPJ9

10 is the geometric mean between 23 and what other value? Round your answer to the tenths' place.

Answers

10 is the geometric mean between 23 and 4.35.

What is geometric mean?

The geometric mean is a type of average,  generally used for growth rates. Let c is the geometric mean of a and b, then c=[tex]\sqrt{ab}[/tex].

Given that,

The geometric mean of 23 and other value is 10.

Let the other value is x.

Use the geometric mean property,

G.M.=[tex]\sqrt{ab}[/tex]        (1)

Substitute the given values in equation (1)

10=[tex]\sqrt{23x}[/tex]

⇒x=100/23

⇒x=4.347

The geometric mean of 23 and 4.35 is 10.

To know more about Geometric mean on:

https://brainly.com/question/8934175

#SPJ1

Which expression is equal to 14y−17+512y+6 , expressed in simplest form?

Answers

Answer:

526y-11

Step-by-step explanation:

14y-17+512y+6=526y-11

Answer:

Option (C)

Step-by-step explanation:

To simplify an expression, we can combine like terms. For this expression, there are two pairs of like terms, one-fourth y and five-twelfths y, and the constants negative seventeen and six.

To combine the fractions, we can find the least common denominator, twelve, so we can rewrite the fraction as three-twelfths.

Now combine the like terms to get eight-twelfths y minus eleven, which simplifies to two-thirds y minus eleven.

help please and thankyou 3

Answers

The trigonometric function use to solve the angle x in the right triangles are as follows:

sin x = 6 / 10cos x  = 5 / 10tan x = 4 / 6

How to find the angles of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The side and angles of a right angle triangle can be found using trigonometric ratios.

Therefore, the trigonometric function that can be use to find the angle x in the triangles are as follows:

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

sin x = 3 / 5

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

cos x = 1 / 2

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

tan x = 2 / 3

learn more on right triangle here: https://brainly.com/question/16691179

#SPJ1

Please help me ASAP!!! Answer both questions for example: 1= C and 2= A

Answers

Answer:

x+4x=25

A: 0<x<=25 0<y<=75

Step-by-step explanation:

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

Answer:

  A, B, E

Step-by-step explanation:

You want three true statements describing the circle whose equation is ...

  x² + y² – 2x – 8 = 0

Graph

A graphing calculator can plot this equation for you. The result is attached.

We see that ...

The radius of the circle is 3 units.The center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

__

Additional comment

The standard form equation of a circle is ...

  (x -h)² +(y -k)² = r² . . . . . center (h, k), radius r

Rearranging the given equation to this form, we have ...

  (x -1)² +y² = 8 +1 = 9 . . . . . . . . r²=9 ⇒ r=3

This means the center is (1, 0), and the radius is 3. The point (1, 0) is on the x-axis.

The circle with equation x² + y² = 9 is centered at the origin and has radius 3.

Please help me out don’t answer if you don’t know I would really appreciate it ;)

What is the simplified version of each expression? Assume all variables are positive

Answers

Answer:

A) 3

B) 2[tex]\sqrt{6}[/tex]

C) 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

A

3x3 = 9

B

24 = 2x2x2x3  We can pull out a pair of 2 and are left with 6

C

18 = 2x3x3  We can pull out a pair of 3 and are left with 2

Possible values for the area A of the rectangle shown are 12 ≤ A ≤ 36.
The rectangle sides are 2x+1 and 3
A compound inequality for this situation is 12 ≤
Choose...
≤ 36.
The solution to the compound inequality in Part A is
≤ x ≤
.

Answers

The compound inequality is 12 ≤ 6x + 3 ≤ 36. and the solution is 1.5  ≤ x ≤ 5.5

How to determine the compound inequality?

The compound inequality is represented as

12 ≤ A ≤ 36.

Such that

A represents the area of the rectangleThe sides of the rectangle are 2x+1 and 3

The area of the rectangle is calculated as

A = Product of the sides

So, we have the following representation

A = (2x + 1) * 3

Evaluate

A = 6x + 3

Substitute A = 6x + 3 in 12 ≤ A ≤ 36.

So, we have

12 ≤ 6x + 3 ≤ 36.

The solution to the inequality

In (a), we have

12 ≤ 6x + 3 ≤ 36

This gives

9 ≤ 6x ≤ 33

Divide by 6

1.5  ≤ x ≤ 5.5

So, the result is 1.5  ≤ x ≤ 5.5

Read more about compound inequality at

https://brainly.com/question/234674

#SPJ1

An Olympic sized swimming pool consists of 660,000 gallons of water. It is currently be drained at a rate of 2,000 gallons a second. Write an equation in slope-intercept form to model this relationship.

Answers

The equation in slope intercept form to model the relationship is:

y = 660,000x+2000

Given,

An Olympic sized swimming pool consists of 660,000 gallons of water.

It is currently be drained at a rate of 2,000 gallons a second.

we are asked to determine the equation in slope intercept form = ?

we know the slope intercept form is:

y = mx+c

based on the given conditions, we formulate:

y = 660,000x + 2000

Hence we get the required answer.

Learn more about Slope Intercept form here:

brainly.com/question/1884491

#SPJ1

The vertices of a figure are J(-4,1), K(-2,1), and L(-4,-3). Rotate the figure 90° clockwise about the origin. Find
the coordinates of the image.

ill add a graph if needed !! :)

Answers

The coordinates of figure and the coordinates of the image after rotation is as below

preimage        image

J(-4,1)               J' (1, 4)

K(-2,1)              K' (1, 2)

L(-4,-3)             L' (-3, 4)

What is rotation ?

Rotation is one the movements involve in transformation

In rotation, the objects moves about an axis in a circular direction

The transformation rule for 90 degrees clockwise rotation is

(x, y) → (y -x)

applying the rule gives the new coordinates of the image as

Image

J' (1, 4)

K' (1, 2)

L' (-3, 4)

Learn more on transformation :

https://brainly.com/question/29321966

#SPJ1

wallpaper is sold on rolls that are 27 inches wide. Tazio needs to cover a wall that is 80 square feet. To figure out how many feet of wallpaper to buy, she will divide 80 by the width of the wallpaper roll in feet. how wide is the roll in feet?
please help asap tysm<3

Answers

The length of the wallpaper of 27 inches wide required is  35.56 feet

How to determine the length of the wallpaper required

The problem requires conversion of the dimensions to have similar unit

To convert 80 square feet to square inches. we multiply by 144

80 * 144 = 11520 square inches

area = length * wide

11520 = length * 27

length = 11520 / 27

length = 426.667 feet

to get the length in inches we divide the unit in feet by 12

length = 426.667 inches / 12

length = 35.56 feet

Learn more about unit conversions here:

https://brainly.com/question/13016491

#SPJ1

Select all triangles congruent to triangle 4.

Answers

Answer:

  1, 2, 4, 5

Step-by-step explanation:

You want triangles congruent to triangle 4.

Congruence

In this exercise, we can determine congruence using SSS congruence: the lengths of the sides in congruent triangles will match. (The order of appearance of the side lengths as you go around the triangle is irrelevant.)

Triangle 4

The lengths of the sides are ...

diagonal of 4×2 rectangle5 grid squaresdiagonal of 4×3 rectangle

Looking at the other triangles, we see side lengths of ...

Triangle 1

All side lengths match: congruent to 4.

Triangle 2

All side lengths match: congruent to 4.

Triangle 3

One side is 6 grid squares: not congruent.

Triangle 5

All side lengths match: congruent to 4.

Triangle 6

One side is 6 grid squares: not congruent.

Triangle 7

One side is the diagonal of a 3×2 rectangle: not congruent.

Triangle 8

One side is the diagonal of a 4×1 rectangle: not congruent.

__

Additional comment

Triangles 3 and 6 are congruent to each other, but not to triangle 4.

Sarah used 2. 5 cups of cheese in a dish that serves 10 people. Amyn used 1. 6 cups of cheese in a dish that serves 8 people. How much more cheese is in one serving of sarah’s dish?.

Answers

Answer: In one serving of Sarah's dish 0.05 more cheese than in one serving of Amyn's dish.

Given: Sarah used cups of cheese in a dish that serves people and  Amyn used cups of cheese in a dish that serves people.

Now, the amount of cheese served by Sarah for a people is.

And the amount of cheese served by Amyn for a people is

Therefore, the difference between the amount of cheese served by Sarah and Amyn is calculated as

Cheese served by Sarah's in one serving  cheese served by Amyn's in one serving              

Hence, 0.05 more cheese is in one serving of Sarah's dish.

For more information:

brainly.com/question/19966810?referrer=searchResults

Step-by-step explanation:

Jada has 12 library books checked out and Han has 13less than that. How many books does Han have checked out?

Answers

Answer:

-1

Step-by-step explanation:

Jada = 12 books

Han = 13 less books than Jada

12-13= -1

Han would have negative 1 books but in this situation it would not be possible.

if f(x)=-3x+9, find the value of 3f (2)-2f(0)
im gonna cry some1 pls help me

Answers

f(2)= -3(2)+9 = 3
f(0)= -3(0)+9 = 9

3f(2)-2f(0)
= 3(3)-2(9)
= -9

Given RWS~TUV find the values of x and y

Answers

For the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.

As given in the question,

For the given congruent triangles,

ΔRWS ≅ ΔTUV

⇒ RWS ↔ TUV

⇒RW ≅TU , RS ≅TV , WS ≅ UV

And ∠W ≅ ∠U , ∠R ≅ ∠T , ∠S ≅ ∠V

Given measurements are :

m ∠W = 90°

m ∠R = ( 8x + 26)°

m ∠V = 32°

∠S ≅ ∠V

⇒ m ∠S = 32°

m ( ∠R + ∠W + ∠S ) = 180°

⇒ 8x° + 26° + 90° + 32° = 180°

⇒8x° = 180° -148°

⇒ x° = 32°/8

⇒ x= 4°

RS ≅TV

⇒30 = 2y + 10

⇒2y = 20

⇒y= 10 units

Therefore, for the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.

Learn more about congruent triangles here

brainly.com/question/22062407

#SPJ1

Jerry has 4 1/2 cup of strawberry he use 3/4 cup of a strawberry to make a breakfast smoothie he wants to use the remaining strawberry to make pancakes if he takes 1 1/4 cup of strawberries to make one pancake how many pancake can he make.

Answers

Jerry will able to make 3 pancakes if he has 4 1/2 cup of strawberry from which he make use of 3/4 strawberry to make breakfast smoothie and he need 1 1/4 cup of strawberries to make one pancake.

Total strawberry Jerry has = 4 1/2 cup = 9/2 cups

Strawberry used to make smoothies = 3/4 cup

Remaining strawberries

= 9/2 - 3/4

= (18-3)/4 = 15/4

To make one pancake, Jerry needs = 1 1/4 cup = 5/4 cup

Number of pancakes Jerry can make = 15/4/5/4 = 3 pancakes

Hence, the number of pancakes, Jerry can make is 3

To know more about pancakes here

https://brainly.com/question/28685435

#SPJ1

find the salary of a person who is paid $3,800.00 per month

Answers

Answer:45600

Step-by-step explanation: 3800x12

I need help please!!

Answers

the slope of the given point is m=2/17

Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs ...

Answers

a) The hypothesis are given as follows:

Null: [tex]H_0: \mu_d \leq 0[/tex]Alternative: [tex]H_1: \mu_d > 0[/tex]

b) The significance level is of α = 0.1.

c) The test statistic is of: t = 4.86.

d) The p-value is of: 0.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is not positive, hence:

[tex]H_0: \mu_d \leq 0[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is positive, hence:

[tex]H_1: \mu_d > 0[/tex]

As stated in the problem, the significance level is of:

α = 0.1.

How to calculate the test statistic?


The test statistic is calculated by the formula presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The variables of this formula are listed as follows:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null and at the alternative hypothesis.s is the standard deviation of the sample.n is the sample size.

From the table, the sample is composed by the differences and given as follows:

0.015, 0.028, 0.177, 0.121, 0.102, 0.107, 0.019, 0.066, 0.058, 0.121.

The above sample is inserted into a calculator, to obtain the parameter values given as follows:

[tex]\overline{x} = 0.0814, \mu = 0, s = 0.053, n = 10[/tex]

Hence the numeric value of the test statistic is given as follows:

t = (0.0814 - 0)/(0.053/sqrt(10))

t = 4.86.

What is the p-value?

Using a t-distribution calculator, considering a right-tailed test, as we are testing if the mean is greater than a value, with 10 - 1 = 9 df and t = 4.86, the p-value is of 0.

More can be learned about the t-distribution at https://brainly.com/question/13873630

#SPJ1

Identify the vertical asymptotes and horizontal asymptote of each.

Answers

Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

What is an Asymptote?

An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote.

There are 3 types of asymptotes.

Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b.

The given expression,

f(x) = (x² - 3x) / (x² + x - 12)

First, find Horizontal asymptote

so,

Horizontal asymptote (y) = (leading coefficient of numerator) / (leading coefficient of denominator)

leading coefficient of numerator = 1

leading coefficient of denominator = 1

y = 1/1

y =1 (Horizontal asymptote)

Now, find Vertical asymptote

so, let's simplify the expression f(x) = (x² - 3x) / (x + x - 12)

f(x) = (x(x - 3) ) / (x² + 4x - 3x - 12)

f(x) = (x(x - 3) ) / (x(x + 4) - 3 (x + 4) )

f(x) = (x(x - 3) ) / ( (x -3) (x + 4) )

f(x) = x / (x + 4)

Now, put the denominator = 0

x + 4 = 0

x = -4 ( Vertical asymptote )

Hence, Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

To read more about Asymptote

https://brainly.com/question/4138300

#SPJ9

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 8085 total votes, how many no
votes were there?

Answers

There are 2940 no votes.

From the question, we have

there were 8085 total votes

ratio= 7 :4

No votes = 4/11*8085

=2940

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

To learn more about divide visit: https://brainly.com/question/15381501

#SPJ1

Write each as an algebraic expression.

10) the product of 10 and a number n

12) the difference of 19 and a number n

14) The product of 7 and the sum of × and 2

15) The difference of 11 and the quotient of x and 3

11) the sum of a number n and 5

13) a number n squared

Answers

Answer:

10) 10n

12) 19-n

14) 7(x+2)

15) x/3 -11

11) n+5

13) n^2

Step-by-step explanation:

product = multiply

difference= subtract

sum = add

quotient = divide

Answer:

lo siento soy nuevo en este aplicación ay mis sierras disculpas

HELP ASAP!! Josephine was building a community playground. The playground had to be fenced. The perimeter of the fence is 54 feet, and the width of the playground is 12 feet. Use the perimeter formula to find the length of his rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)

15 in.
30 in.
42 in.
180 in.

Answers

Answer:

It is C

Step-by-step explanation:

A group consisting of 42 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 2 hours?

Answers

The equation that matches the number of zombies after 2 hours is z = 42 × 3².

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, a group consisting of 42 aggressive zombies triples in size every hour.

Let the number of zombies be z.

Therefore, the equation that matches the number of zombies after 2 hours will be:

= 42 × 3^n

= 42 × 3²

= 42 × 9

= 378 zombies

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

(ITS DUE TODAY)Find the slope of the line that passes through Point A (3,-7) and Point B (0,-3), using the formula m= y2-y1/x2-x1.

Answers

Answer:
The Slope is = -4/3

A car travels at 80km/h. How many km does the car travel in 27 minutes

Answers

The car travels 36 km. Please see the following solution attached.

What is the slope of the line

Answers

Answer:

The answer to this question is undefined or c

Step-by-step explanation:

A horizontal line has a slope of 0 because it does not go vertically and a vertical line has a slope of undefined because it does not go horizontally

y=mx+b is how to get slope, it’s infinite

An arts and crafts store sells sheets of stickers. Use the table to write an equation you can use to find the total cost y in dollars for x sheets of stickers.​

Answers

The equation that can be use to find the total cost y in dollars for x sheets of sticker is y = 2.55x.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, it should be noted that a proportional relationship exist between the figures that are given.

Therefore, the constant will be:

= Cost / Number of sheet

= 12.75 / 5

= 2.55

Therefore, the equation is y = 2.55x

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Gary and Kathy's restaurant bill comes to $35.50. They are planning to tip the waiter 20%. How much money will they pay including the tip?

Answers

Answer: $42.60

Step-by-step explanation:

divide $35.50 by 5 and then add the quotient ---> $7.10, to $35.50, which equals $42.60.

Other Questions
How much of the stuff bought in the madness gets returned shortly after? Subatomic particles can usually pass undeflected through an atom because the volume of an atom is composed of. 5. If you were told that a specific tire could roll 200 yards in 27.28 revolutions, what is the radius of the tire? presented below is a partial amortization schedule for discount pizza. (1) period (2) cash paid for interest (3) interest expense (4) increase in carrying value (5) carrying value issue date $46,591 1 $1,785 $1,864 $79 46,670 2 1,785 1,867 82 46,752 required: 1. Without the use of protocols:A. The internet would be insecure B. Networks couldnt function at allC. Only businesses would be able to use the internet D. Severs couldnt store data in which year did age 21 became the legal drinking age in all u.s. states? 1933 1945 1970 1988 Assignment Write a letter to the Chairman of your local government area requesting for social amenities that your locality lacks, Not less than 350 words! when taking the vark inventory, you can have a strong preference for only one of the four learning preferences. True or False when did the marshall plan end Select the correct answer from the drop-down menu.The pacing in paragraph 3 is faster than in the rest of the narrative. Why did the author most likely change the pacing in this paragraph?The author most likely changed the pacing in paragraph 3 ____________.A. because the scene is exciting and nerve-wrackingB. because the scene is humorous and relatableC. to develop her thoughts about an exciting experienceD. to provide a detailed description of the experience What is the difference between personal health record and medical record? A bowling alley and a skating rink both offer birthday party rentals. The bowling alley costs $5 per person plus a $15 room rental fee. The skating rink costs $3 per person plus a $20 room rental fee. You have $50. If you want to invite as many people as possible, which location should you choose?Follow the steps to decide on the party location.1. Write an expression for the amount you would spend on a birthday party at the bowling alley. Let x represent the number of people you invite. (2 points)2. Write an expression for the amount you would spend on a birthday party at the skating rink. (2 points)3. How many people could you invite to the bowling alley? Show how you found your answer. (2 points)4. How many people could you invite to the skating rink? Show your work. (2 points)5. To which location could you afford to invite more people? (2 points) in the cytoplasm, some of the lactose is converted into , which binds the site of the lac repressor. A chunk of iron at 90.6C was added to 200.0 g of water at 15.5C in a coffee cup calorimeter.Assume that no heat was exchanged with the surroundings. The specific heat of iron is 0.449 J/gC, and the specific heat of water is 4.18 J/gC. The temperature of the mixture stabilized at 18.2C. a) Calculate the heat absorbed by the waterb) Calculate the heat released by the chunk of iron.c) Calculate the mass of iron added. which condition would the nurse advise a patient with raynaud disease to avoid to prevent vasospastic attacks The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 135 minutes with a standard deviation of 44 minutes. At = 0.01 level, is the student academic group's claim correct?1. What is the p-value what factors determine how difficult it is for a manufacturer to persuade retailers to purchase its products? Given that x(a + bx)(a bx) = 25x - 4x, find the value of b- a client presents at the clinic with reports of urinary retention. what question should the nurse ask to obtain additional information about the clients report? The government collects tax revenue of $100 million and has $105 million in outlays. The budget balance is a.