If the perimeter of the triangle is 40 cm, find the area of the triangle.

The area of the triangle is, ? cm2.

If The Perimeter Of The Triangle Is 40 Cm, Find The Area Of The Triangle.The Area Of The Triangle Is,

Answers

Answer 1

Answer:

102 cm²

Step-by-step explanation:

Perimeter is:

P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8

Comparing the value:

8x - 8 = 40 8x = 48x = 8 cm

Are formula:

A = 1/2ah

Replacing values:

A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²
Answer 2

Answer:

60cm²

Step-by-step explanation:

To find :-

The Area of the triangle .

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

Base = x + 9 = 15cm Height = 2x -4 = 8cm .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²


Related Questions

Problem
Solve for x
x + 5 = 10
——-
2

Answers

Answer:

Step-by-step explanation:

x = 5

Answer:

x=5

Step-by-step explanation:

Plz, Help me with this question!!!!

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Answer:

152y+125

Step-by-step explanation:

What is the product of 10x4 y2 and 3xy3 ?

Answers

Answer:

30x^5y^5

Step-by-step explanation:

What is the product of 10x4 y2 and 3xy3 ?

30x^5y^5

first to answer gets brainliest im being nice so what is 2+2 XD

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Answer:

4

Step-by-step explanation:

what else o3o

Answer:

2+2=4

Step-by-step explanation:

tysm!!

What Ps the value
of (100)^o​

Answers

Answer:

(100)^0=1

Step-by-step explanation:

This follows the laws of indices

What is the value of X?

A: 15
B: 27
C: 45
D: 12

Answers

Answer:

D

Step-by-step explanation:

I need help with this.​

Answers

Answer:

[tex]x + (3x - 9) = 5x - 30 \\ x + 3x - 9 = 5x - 30 \\ 4x - 9 = 5 x - 30 \\ - 9 + 30 = 5x - 4x \\ 21 = x \\ so..value \: of \: x \: is \: 21 \\ so. \\ <ACD = 5 \times 21 - 30 = 105 - 30 = 75° \\ < ACB = 180° - 75° = 115°[/tex]

<ACB = 105°

it is correct ans.

plazzz mark is as a brilliant ans

A scale on a blueprint drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blueprint represents an actual distance of 27 meters?

Answers

Answer:

Step-by-step explanation:

y=x+6
x+y=8

now graph 3 points on the line x+y=8​

Answers

Answer:

y=2

Step-by-step explanation:

advgdsfh usb hey do f ft h

What’s the slope and y intercept of (3,4) and (0,-3)

Answers

Slope is 7/3 and y intercept is -3.

Slope: 7/3

Y intercept: -3

simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]

We must express the mixed fraction into an improper fraction:

[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]

Since 80 = 16*5 and 20=4*5

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]

Adding the fractions:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]

[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]

Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke's mean score increased. Which could be Brooke's sixth quiz score? Select three options. 85 90 83 86 92

Answers

Step-by-step explanation:

Mean average = (84 + 72 + 90 + 95 + 87) / 5 = 85.6

For the mean score to increase, the new score must be greater than 85.6.

Hence the correct options are 90, 86 and 92.

Answer:

b, d, and e

Step-by-step explanation:

use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.

Answers

Answer:

18. AE = 6

19. BG = 6

20. CF = 5

21. GF = 2

22. CE = 3

23. AC = 3·√5

24. A_F = 10

25. DA = 3·(√5 - 1)

Step-by-step explanation:

Whereby the point C is the center of the circle, we have;

CB = CG = CE = 3 = The radius of the circle with center at C

CE = 3

CF = √(4² + 3²) = 5 by Pythagoras' theorem

CF = 5

GF = CF - CG = 5 - 3 = 2

GF = 2

BG = CB + CG = 3 + 3 = 6

BG = 6

Whereby, BC is a tangent to the circle with center, C, we have;

A_F = √(8² + 6²) = 10 by Pythagoras' theorem

A_F = 10

AE = A_F - EF = 10 - 4 = 6

AE = 6

AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem

AC = 3·√5

DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)

DA = 3·(√5 - 1).

uhh.i dumb the screenshot is here

Answers

Answer:

40

Step-by-step explanation:

Just use a calculator. I didn´t need to. My brother helped me a little

The answer is 40 I believe

what is the interest earned in a savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly? round your answer to the nearest hundredth.

Interest = $ [?]

Answers

Answer:

$30

Step-by-step explanation:

2000 x .015 = 30

The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]

For this case, we're specified that:

Initial amount = P = $2000Interest rate 1.5% annually (compound interest), or R = 1.5Time for which interest will be compounded = 12 months = 1 year = T (converted time to year as interest is being compounded annually).

Thus, we get the amount of interest as:

[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]

Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

Learn more about compound interest here:

https://brainly.com/question/11897800

#SPJ2

Ted sells cleaning supplies. He earns a monthly salary of $850.00, plus commission. He earns 5% commission on the first $10,000 in sales, and 7% commission on any sales over $10,000. If he sold $14,000 worth of supplies this month, how much will his pay be this month?

Answers

Answer:

$1830

Step-by-step explanation:

Step one:

Ted's monthly salary =$850.00

since he made sales over $10,000. that is he sold supplies worth $14,000

his commission will be 7% of $14,000

=7/100*$14,000

=0.07*$14,000

=$980

Required

His total earnings

Step two:

Hence his total earnings is, his monthly salary  plus 7% commission of  supplies worth $14,000

=$850.00+$980.00

=$1830

Error Analysis

On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?

The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)

The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)

What error might Jake have made?

A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).

Answers

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

all right guys help me out a little bit no jokes this is worth 13 points I need help with 432 / 73​

Answers

Answer:

5.91780821918

Step-by-step explanation:

432/73 is the same as 432 ÷73=5.91780821918

Hope this helps ∞<3

You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.

Answers

Answer:

1/8th

Step-by-step explanation:

since there are 24 hours in a day

Answer: 1/8

Step-by-step explanation:

a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest  form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.

Hope i helped have a good rest of your day!!

Find the slope of the line passing through the points (3, 4) and (8,-3).

Answers

Answer:

-1.4

Step-by-step explanation:

What is the value of x in the solution of the system x+y=3
y=-6x+3

Answers

The answer is 9 your welcome nice day
the answer is 9 I hope I helped !!

There are 40 questions in a test and you get 75 % correct. How many
questions do you get right?

Answers

Answer:

30

Step-by-step explanation:

To solve this problem the way I would do it would be:

75% = 3/4

40 ÷ 4 = 10 × 4

Since you have 75% or 3/4 you add 1/4 3 times. 1/4 of 40 is 10 so add 10 3 times.

10 + 10 + 10 = 30

Answer:

[tex]30[/tex]

Step-by-step explanation:

[tex]40 \times \frac{75}{100} = \\ 40 \times \frac{3}{4} = 30[/tex]

Can someone help me please

Answers

I think this is right

what is the answer to this?​

Answers

Answer:

[tex] < 1 = 48[/tex]

Step-by-step explanation:

[tex] < 1 + 132 = 180[/tex]

[tex] < 1 = 180 - 132[/tex]

[tex] < 1 = 48[/tex]

because it's a straight angle(180)

Money in a particular savings account increases by about 6% after a year. How much money will be in the account after one year if the initial amount is $100?

Answers

$106 dollars since 6% of 100 is 6 and u add 6 dollars to 100 and u get $106

Find the equation to the line , Please help !!!!

Answers

the equation is y=-3/2+3

Answer:

y= -3/2 + 3

Step-by-step explanation:

Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurricane. She finds a company willing to send her Meals-Ready-to-Eat (MREs) at a discounted price. Cases of small portion meals are $20.00 each and cases of large portion meals are $30.00 each. She buys a total of 20 cases and spends a total of $450.00.

Let x represent the number of small portion meals and let y represent the number of large portion meals. Write a system of equations, in terms of x and y, to model the situation. Enter your equations in the space provided.

Answers

9514 1404 393

Answer:

x + y = 2020x +30y = 450

Step-by-step explanation:

The equation for the total number of cases is ...

  x + y = 20

The equation for the total cost of the cases is ...

  20x +30y = 450

_____

Additional comment

The solution to these equations is (x, y) = (15, 5).

You manage an appliance store that currently has excess warehouse inventory. You decide to offer a price reduction on washer-dryer combination sets. As a result of the price reduction, the company sells 36 combination sets, and this reduces their inventory by 25%. How many washer-dryer combination sets are in the warehouse after the sale? 27 70 108 144 864

Answers

Answer:

108

Step-by-step explanation:

Let the amount of washer-dryer combination sets that are in the warehouse after the sale be x

Initial amount in the ware house is y

y - 36 = 75% of y

y - 36 = 0.75y

0.75y - y = -36

-0.25y = -36

y = 36/0.25

y = 144

The initial amount of wash dryer before sale is 144

After sale the amount of set in the house x = 144 - 36 = 108

Hence there 108 washer-dryer combination sets are in the warehouse after the sale

Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%

Answers

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

a. convert the raise as a percent into a decimal, then add 1

20% = 0.2

0.2 + 1 = 1.2

b. multiply the number by the original salary

1.2 * 1500

1800

Answer:

$ 1800

Step-by-step explanation:

Rise in payment = 20% of 1500

                          [tex]= \frac{20}{100}*1500\\\\=20 *15\\\\= $300[/tex]

New weekly wage = 1500 + 300

                                = $ 1800

A.) what is the domain?
B.) what is the range?
C.) is this relation a function?

Answers

Answer:

The Domain is the set of all points over which a function is defined.

The range is the set of values the function takes on as output.

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