Consider the right triangle below.
6x - 44
2x - 20
3x + 24
If the perimeter of the triangle is 224 cm, find the area of the triangle.
The area of the triangle is
cm

Consider The Right Triangle Below.6x - 442x - 203x + 24If The Perimeter Of The Triangle Is 224 Cm, Find

Answers

Answer 1

Answer:

Area = 1,344 cm²

Step-by-step explanation:

First, find the value of x and the numerical side length of all sides of the triangle before finding the area.

Thus:

Perimeter of a triangle = sum of all its side

Therefore,

(6x - 44) + (2x - 20) + (3x + 24) = 224

Solve for x

6x - 44 + 2x - 20 + 3x + 24 = 224

Add like terms

11x - 40 = 224

Add 40 to both sides

11x = 224 + 40

11x = 264

Divide both sides by 11

x = 24

Find the measurement of each side length by plugging in the value of x:

Hypotenuse = 6x - 44 = 6(24) - 44 = 100 cm

Height = 2x - 20 = 2(24) - 20 = 28 cm

Base = 3x + 24 = 3(24) + 24 = 96 cm

Find the area:

Area = ½×base×height

Plug in the values

= ½×96×28

Area = 1,344 cm²


Related Questions

Se desea sujetar un poste de 20 metros de altura con un cable que parte de la parte superior del mismo hasta el suelo de modo que forme un ángulo de 30 metros.¿Cual es la longitud del cable?

Answers

Answer:

la longitud del poste es ... creo que 60? No soy bueno con los medidores, pero espero que esto ayude.

the quadrilateral obtained by joining the mid points of adjacent sides of a square is?​

Answers

Answer:

Square

Step-by-step explanation:

the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square.

write a two-step equation that involves division and addiction and had a solution of x=-25​

Answers

Answer:

I didnt get

Step-by-step explanation:

You mean,

x + 0.y + 25 = 0

Step-by-step explanation:

2x-25=25

2x=50

x=50

2

x=25

hope u want this..

2. Factor completely
16x^5 - 48x^4 + 40x²

Answers

Answer:

8x^2(2x^3 - 6x^2 + 5).

Step-by-step explanation:

The GCF is 8x^2 so we have:

8x^2(2x^3 - 6x^2 + 5)

One number is three more than the second number. Twice the first is nine less than three times the second. What are the two numbers?

Answers

Answer:

16 and 13

Step-by-step explanation:

Let the second no is x

First no = x+3

Twice the first is nine less than three times the second.

We can write in the form of equation as follows :

2(x+2) = 3x-9

Solving brackets first

2x+4=3x-9

Taking like terms together

9+4=3x-2x

13=x

First no = x+3 = 13 + 3 = 16

So, first and second numbers are 16 and 13 respectively.

If Liana needs $5 to buy 6 mechanical pencils, how much money does she need to buy 7 pencils?

Answers

i think it’s $6 pretty sure ifk

need help asap please​

Answers

Answer:

If your looking for #11 I think the answers -5

Step-by-step explanation:

The Rodriguez family took 5.5 hours to gather information for their Schedule A. The itemized deductions saved them $4,095 in taxes. What was the mean savings per hour to fill out Schedule A tax form?

Answers

Answer:

The mean saving was $744.54 per hour to fill out Schedule A tax form.

Step-by-step explanation:

Given that:

Time taken by Rodriguez family = 5.5 hours

Amount saved in taxes = $4095

5.5 hours = $4095

The mean savings per hour can be calculated by dividing the total hours taken by the amount saved in taxes.

1 hour = [tex]\frac{4095}{5.5}\\[/tex]

1 hour = $744.54

Savings per hour = $744.54

Hence,

The mean saving was $744.54 per hour to fill out Schedule A tax form.

in JKL, if m<J is 7 less than m<L and m<K is 21 less than twice m<L, find the measure of each angle​

Answers

Answer:

Step-by-step explanation:

First you must know that the sum of angle in a triangle is 180degrees

In triangle JKL, <J+<K+<L = 180 ..... 1

If m<J is 7 less than m<L , then;

m<J = m<L -7 ..... 2

If m<K is 21 less than twice m<L then;

m<K = 2m<L - 21 ...... 3

Substitute 2 and 3 into 1;

from 1; m<J+m<K+m<L = 180

m<L - 7 + 2m<L - 21 + m<L = 180

4m<L - 28 = 180

4m<L = 180+28

4m<L = 208

m<L = 208/4

m<L = 52 degrees

Get m<J;

m<J = m<L -7

m<J = 52-7

m<J = 45 degrees

Get m<K;

m<K = 2m<L - 21

m<K = 2(52) - 21

m<K = 104 - 21

m<K = 83degrees

The length and width of a 6-inch by 8-inch photograph are reduced by the same amount to make a new photograph whose area is half that of the original. By how many inches will the dimensions of the photograph have to be reduced?

Answers

Answer:

The dimensions have to be reduced by 2 inches

Step-by-step explanation:

Given that the dimensions are: 6 by 8 inches which means that the area is 48 square inches.

Let x be the amount to make a new photo which is half of the area that means

The new dimensions will be: (8-x) by (6-x) and as the area is half

The area of new photo will be: 48/2 = 24

Putting it mathematically

[tex](8-x)(6-x) = 24\\8(6-x)-x(6-x)=24\\48-8x-6x+x^2=24\\48-14x+x^2=24\\x^2-14x+48-24=0\\x^2-14x+24=0\\x^2-12x-2x+24=0\\x(x-12)-2(x-12)=0\\(x-2)(x-12)=0\\x-2=0 => x=2\\x-12=0 =>x=12[/tex]

Subtracting 12 from both dimensions will make them negative so 12 cannot be the solution.

Hence,

The dimensions have to be reduced by 2 inches

We want to see by how much we must reduce the dimensions of the photograph in order to reduce its area to half. We will find that we must reduce each measure by 2 inches.

The original measures of the photograph are:

length = 6 inwidth = 8 in.

Then the area is:

A = (6 in)*(8 in)  = 48 in^2

Now we want to define a new length and a new width:

L' = (6 in - n)W' = (8in - n)

such that:

A' = L'*W' = 24 in^2

      (6 in - n)*(8in - n)  = 24 in^2

      48in^2 - n*14 in + n^2 = 24 in^2

    n^2 - n*14 in + 24in^2 = 0

This is a quadratic equation, we can solve this for n by using Bhaskara's formula, we will get:

[tex]n = \frac{14in \pm \sqrt{(-14)^2 - 4*1*24in^2} }{2*1} \\\\n = 7in \pm 5 in[/tex]

The only solution that makes sense is:

n = 7in -  5in = 2in

This means that we need to reduce each measure by 2 inches.

If you want to learn more, you can read:

https://brainly.com/question/14405879

A sergeant received an order to relocate the squad from its current location T (3, -2) on the coordinate plane to a new location S. The movement of the squad is described by the translation (x, y)⟶(x-4, y+6). What are the coordinates of the new location S of the squad?

Answers

Answer:

(-9,-2)

Step-by-step explanation:

The translated coordinates are (-1,4).

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation. The translation is done on the coordinate plane a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that A sergeant received an order to relocate the squad from its current location T (3, -2) on the coordinate plane to a new location S. The movement of the squad is described by the translation (x, y)⟶(x-4, y+6).

The translated points will be calculated as below:-

( 3, -2 ) ⇒ [ ( 3 - 4 ) , ( -2 + 6 ) ]

( 3, -2 ) ⇒ [ ( -1 ) , ( 4 ) ]

Therefore, the translated coordinates are (-1,4).

To know more about translation follow

https://brainly.com/question/12861087

#SPJ2

What is the solution to the following system??
A) (2.5,0)
B) (5,1)
C) (0,2)
D) (1,5)​

Answers

Answer:

C

Step-by-step explanation:

at least i think so

the sum of two numbers is 9 and their difference is 1 ​

Answers

I can tell you for a fact the two numbers are 4 and 5.

Answer:

5 and 4

Step-by-step explanation

5 plus 4 is 9 and 5 and 4 are only one space apart

The three linear equations have y-intercepts of -3, 8 and 7 respectively. Yet, a function can have only

one y-intercept. Which of these is the y-intercept of this function? Explain how you made your choice.

Answers

Answer:

hello your question have some missing part attached below is the missing part

answer : y ( intercept )  = 8

Step-by-step explanation:

Having three linear equations with y-intercepts of -3, 8 and 7,

To determine The y-intercept of this function ;

x = 0 and x = 0  which comes in   -2 ≤ x < 3

f' - f(x) = x + 8 ,

therefore the y intercept in  f(0) = 0 + 8 = 8

the ratio of the heights 1.50 cm and 75 cm of two person can be written as​

Answers

Answer:

1 : 50

Step-by-step explanation:

1.50 : 75

Multiply by 2 so there are no decimals.

3 : 150

Divide by 3 to simplify.

1 : 50

Answer:

1:50 & 1:5

The ratio of heights 1.50 m and 75 cm of two people can be written as 1:50 and 1:5.

Two numbers have a sum of 30. Half of their difference is 7. Find the numbers.

Answers

Answer:

15

Step-by-step explanation:

I think it is but am not sure

Answer:

The two numbers are 22 and 8

Step-by-step explanation:

22 + 8 = 30

22 - 8 = 14

14 ÷ 2 = 7 or 1/2 of 14 is 7

the first one TO GET IT CORRECT will get brainliest plus 11 points :)

Answers

Answer:

6 x 2.5 = 15

8 x 2.5 = 20

L x W = 300 square units

Step-by-step explanation:

Brainliest?

40 ÷ 1+ 3 - ( 3 × 7) + 7 - 5

Answers

Answer:

24

Step-by-step explanation:

11=x-(-20) do not know how to solve trynna get grade up​

Answers

Answer:

11/20 ; 0.55

Step-by-step explanation:

11= 20x

20x= 11

x= 11/20 ; 0.55

Answer:

x = −9

Step-by-step explanation:

Step 1: Simplify both sides of the equation

11 = x + 20

Step 2: Flip the equation

x + 20 = 11

Step 3: Subtract 20 from both sides

x + 20 − 20 = 11 − 20

x = −9


Find the equation of OP.
F (x + 4)2 + (y – 2)2 = 3
G (x + 4)2 + (y - 2)2 = 9
H (x – 4)2 + (y + 2)2 = 3
J (x - 4)2 + (y + 2)2 = 9

Answers

Answer:

G

Step-by-step explanation:

find ten rational numbers between -2/5 and 1/2 (i need in a proper explaination please answer fasttt!!!​)

Answers

Answer:

-0.39, -0.38, -0.37, -0.36, -0.35, -0.34, -0.33, -0.32, -0.31, -0.3

Step-by-step explanation:

Rational numbers are basically any number that are not numbers with non-recurring decimals or non-terminating decimals.

-[tex]\frac{2}{5}[/tex] = -0.4

[tex]\frac{1}{2}[/tex] = 0.5

Thus, any number from -0.4 to 0.5 with decimals (if any), that will terminate and not stretch forever is rational. [tex]\frac{1}{3}[/tex] is not rational. Decimals that repeat are also rational. pi is not rational.

Malik and Mia both converted to a decimal. Malik says
the answer is 0.45 and Mia says the answer is 0.45. Which
answer is correct? Explain why that is the correct answer, and
the other is incorrect.

Answers

Answer:

0.45=0.45 so they are either both wrong or both correct

Step-by-step explanation:

both answers are probably correct

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?

Rewrite the expression on the left using the distributive property.
Multiply both sides by x.
Rewrite the expression on the left using subtraction.
Divide both sides by x.

Answers

Answer:

Rewrite the expression on the left using the distributive property.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

PROVE THAT TWO TRIANGLES ARE CONGRUENT USING THE SAS CONGRUENCE CRITERIA PLEASEEEEE I NEED ASAP DUE IN 15 MINS PLEEEEASE​

Answers

Answer:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of DE is congruent to the length of FG, which is sqrt(5). The length of EF and GH are congruent too. Two pairs of sides are congruent, one pair of angles are congruent (vertical), SAS

Visit lives 5km from the school. She walks 1km at 4km/h and travels the rest of the way by bus at 16km/h. What is the average speed for the whole journey

Answers

Answer:

0.63km/h

Step-by-step explanation:

Step one:

given data

total distance= 5km

velocity of walk= 4km/h

distance covered while walking= 1km

time taken to walk

t1= 4/1

t1= 4hours

Step two:

velocity of bus= 16km/h

distance covered while walking= 5-1= 4km

time taken to walk

t2= 16/4

t2= 4hours

total time = 4+4=8hours

Average speed= total distance/total time taken

average speed= 5/8

average speed=0.63km/h

how do you change a rational number to a decimal? give an example

Answers

Answer:

If the rational number is a fraction (of course) divide it. For example, 1/2 can be divided as 1 divided by 2 which is 0.5.

If the number is an integer, you can simply just add .0 (point zero). For example, if the rational number is 12, the decimal version would be 12.0.

If the number is a fraction, you can divide the numerator by the denominator. For example, if the rational number is 1/10 (one tenth), just can divide one by zero to get 0.1 (zero point one).

Suzy bought an Ipad for $432 and case for $57. If she gives the cashier $550, how
much will she get back?

Answers

Answer:

61 $

Step-by-step explanation:

Answer:

she would get 61 dollars back

Step-by-step explanation:

432+57=489   550-489=61 dollars

IS ANYONE GOOD AT MATH!!!!!!!!!!

Answers

Answer:

yes i am!!!!!!

Step-by-step explanation:

Help me help me help me help me help me help me

Answers

Answer:

no that is incorrect I know because i took this test already

Answer:bnjckfkf

Step-by-step explanation:

Dhcj

PLZZZZZZZZZZZZZZZ HELP I HAVE NO CLUE ON WHAT THE ANSWER ARE!!! PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!
Which expressions are equivalent to the expression (look at the first image) Select all that apply.

ANSWERS CHOICES IN SECOND IMAGE

AND EXPLAIN ITTTTTTT PLZZZZ

Answers

it seems like E is the one that looks simlar

if not im

so sorry

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