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The perimeter of a right-angled triangle is 96 cm.
The lengths of its sides are in the ratio 6:8:10
Work out the area of the triangle in cm”.
B x W x = 2
Total marke: 4

Answers

Answer 1

Answer:

[tex]A=384\ cm^2[/tex]

Step-by-step explanation:

Let the sides of a triangle be 6x,8x and 10x.

Perimeter of the triangle, P = 96 cm

We need to find the area of the triangle.

P = sum of all sides

6x+8x+10x = 96

24x = 96

x = 4

Sides are :

6x = 6(4) = 24 cm

8x = 8(4) = 32 cm

10x = 10(4) = 40 cm

Area,

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 24\times 32\\A=384\ cm^2[/tex]

So, the area of the triangle be [tex]384\ cm^2[/tex].


Related Questions

The perimeter of triangle ABC is 96. Find the value of x. 4x + 1 2x 3x + 2 perimeter of ABC = 96

Answers

Answer:

4.5is answer

Step-by-step explanation:

perimeter of ABC = 96

4x + 1 2x 3x + 2=96

21x=96

x=96/21=4.5

Michelle says that the solution to the inequality 2(4y-3) > -22 is y > -3.5.

what was her mistake. What is the solution to the inequality.

Answers

Answer:

The solution of the given inequality is y>-2.

Step-by-step explanation:

The given inequality is :

2(4y-3) > -22

Using distributive property on LHS of the above inequality.

8y-6 >-22

Add 6 both sides of the inequality

8y-6+6 >-22+6

8y>-16

y>-2

So, the value of y is more than -2.

Fredrick manages a band and sings lead vocals. The band charges $700 per concert. Fredrick receives $175 of that money, and he shares the rest equally among the other 5 members of the band. How much money does each of the 5 band members receive per concert?

Answers

Answer:

105

Step-by-step explanation:

 

Answer:

$105 for each member per concert

Step-by-step explanation:

700 - 175 = 525

525 divided by 5 = 105

Cada bolsa de canicas que vende la Compañía de Canicas Paola contiene 2 canicas azules por cada 3 canicas verdes. Si una bolsa contiene 12 canicas azules, ¿cuántas canicas verdes contiene?
me ayudan por favor

Answers

Answer:

a tube contains 3 tennis balls how many tennis balls are there in 32 tubes

It costs $2.80 to buy 4 apples. You want to buy 7 apples. How much will that cost?

Answers

Answer:

$4.90

Step-by-step explanation:

Answer:

10 dollars

Step-by-step explanation:

4 / 2.80 = 1.42857142857

so that means 1.42857142857 is the cost of one apple.

1.42857142857 x 7 = 10

so your answer is,

it costs $10 for 7 apples.

I Hope this helped!

Please help will give Brain!!

Answers

Answer:

its 35

Step-by-step explanation:

look at the triangles see how the lines are the same amount? its dilation meaning it is still 35 but a smaller triangle at the process.

plz answer all of them

Answers

Answer:

ace

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution in the picture

3+2=___

4+2=___

8-8=___

Answers

Answer:

1)5

2)6

3)0

Step-by-step explanation:i subtracted

3+2= 5
4+2=6
8-8=0
if u put up 3 fingers then put 2 more up you get 5
if u put up 4 fingers then put up 2 more u get 6
if u put up 8 fingers and take 8 away u have 0 fingers left

find the length of IR using the special right triangles

Answers

Answer:

7

Step-by-step explanation:

This is a 30-60-90 triangle. The side that include the 60 degree angle and the 90 degree symbol side length is half of the hypotenuse. The hypotenuse is 14 so IR is 7.

In the diagram below, BD AE, BF bisects ZABD, mC = 88° and
mZBFE = 116°. Find mZE.
Can some help me?

Answers

Answer:

40

Step-by-step explanation:

[tex]180 - 116 = 64[/tex]

[tex]180 - 64 \times 2 = 52[/tex]

[tex]180 - 52 - 88 = 40[/tex]

Peter goes for a walk.
He walks 15 miles in 6 hours.
Workout Peter's average speed.
Give your answer in miles per hour.

Answers

Answer:

2.5 miles per hour

Step-by-step explanation:

Just take 15 decide by 6 if I am not wrong

Answer:

2.5 miles per hour

Step-by-step explanation:

6 divided by 6=1 hour.

15 divided by 6= 2.5

Find the final balance on $130 invested at an annual rate of 9.4% compounded
quarterly for 2 years.

A. $158.44
B. $156.55
C. $154.44
D. $152.22

please hurry it’s for a test:))

Answers

Answer:

i remember this hope this helps you ok

I think the answer is “C”

Which value will change most when
13 is added to the data set?
0, 6, 4, 5, 3, 3, 2
A mean
B median
C mode
D outlier

Answers

Answer:

it's the mean bc mode and median will not change and that outlier is the one that's different but they are all diff

y = x + 5 anyone help

Answers

You can’t find the value of x or y if you don’t know either one

Answer:

x=y−5 Hope I helped? :')

Steps!

1. Subtract 55 from both sides.

y−5=x

2. Switch sides.

x=y−5

is the point (1,-3) a solution to the system? show all your work

y>x-1
y >-x+2

Answers

Answer:

To determine if the point is a solution, substitute the x value into the right side of the inequality and compare the result with the y value of the point.

- x + 2 = - 1 + 2 = 1

Now - 3 < 1

Thus (1, - 3) is not a solution

Step-by-step explanation:

Which of the following statements provides the correct freezing and boiling points of water on the Celsius and Fahrenheit temperature scales

Answers

B provides the correct freezing and boiling points of water

A shop advertises 15% off it's prices in the sale.
A purse is £4.42 in the sale.
What was the original price?

Answers

Answer:

5.20

Step-by-step explanation:

100%-15%=85%

85%->4.42

100%->4.2÷85×100=5.20

HELPPP PLEASE!!!! HELP

Answers

A1 x=5
2 x=7
3 t=3
B1 x=3
2 x=2
3 z= √6

A sum yields an interest of Rs. 900 at 15% simple interest per annum in 4 years. Find the sum.

Answers

Answer:

15

Step-by-step explanation:

P=I/RT = 900/15×4 =900/60 = 15

Determine if the graph is a function then state the domain and range.

Answers

Explanation

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

Answer

[tex] \begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}[/tex]

Domain is set of all real numbers.

Range is greater or equal to 0.

Evelyn bought 60 tickets for rides at an amusement park. Each ride costs 3 tickets, and Evelyn has been on x rides so far. Select all the expressions that show the number of tickets that Evelyn has left.

Answers

Answer:

I believe your answer will be E, A, and C

Step-by-step explanation:

If she has 60 tickets and each ride is 3 tickets but she has been on x rides you would do 3x and subtract that from 60.

Answer:

a,c,e

Step-by-step explanation:

60 is the total number of tickets, so b and d are wrong because you are no adding to the total number of tickets.

- 5x + 9y = - 32
-5x - 3y = 4

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :)

Gabriela was solving an equation, but when she checked her answer, she saw solution was incorrect . She knows she made a mistake, but she can’t find it.

Answers

Answer:

The distribution at the 2nd line

Step-by-step explanation:

I believe where Gabby went wrong was in her multiplication distribution

12*5=60 not 72

hope this helps!!

The value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.

The given equation is 12(5+2y)=4y-(5-9y).

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

12(5+2y)=4y-(5-9y)

⇒ 60+24y=4y-5+9y

⇒ 60+24y=13y-5

⇒ 24y-13y=-5-60

⇒ 11y=-65

⇒ y=-65/11

Therefore, the value of y form the given equation is -65/11. Gabriela did mistake in second step while multiplying 12 and 5 and - sign into a bracket.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

. What is the value of x
please help

Answers

Answer:

9

Step-by-step explanation:

12x + 17x - 14 + 90 + 2x + 5 = 360

31x + 81 = 360

31x = 279

x = 9

Write down in terms of n an expression for the nth term of the following sequence
12 16 20 24 28

Answers

Answer:

4n + 8

Step-by-step explanation:

A -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a angle with a short vertical support.

Answers

Complete question :

A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.

What is the length x of a diagonal support, to the nearest tenth of a foot?

Answer:

13.80 feets

Step-by-step explanation:

Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :

To obtain x :

Sinθ = opposite / hypotenus

Opposite = 12.5 feets ; hypotenus = x ; θ = 65°

Sin 65 = 12.5 / x

0.9063077 * x = 12.5

x = 12.5 / 0.9063077

x = 13.792225

x = 13.80 feets

The workers at the help line answers 24 phone calls every 2hours how many phone calls do the workers answer in 8hours

Answers

Answer:

the answer is 24 calls

Step-by-step explanation:

set the proportion

24/2=x/8

8×24=8x

192=8x

divide by 8

x=24

s is inversely proportional to t
When s = 0.5, t = 7
Work out s when t = 0.8

Answers

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

[tex]s\propto \dfrac{1}{t}[/tex]

[tex]s=\dfrac{k}{t}[/tex]       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

[tex]0.5=\dfrac{k}{7}[/tex]

[tex]0.5\times 7=k[/tex]

[tex]3.5=k[/tex]

Putting k=3.5 in (i), we get

[tex]s=\dfrac{3.5}{t}[/tex]

This is the equation of proportionality.

Putting t=0.8, we get

[tex]s=\dfrac{3.5}{0.8}[/tex]

[tex]s=4.375 [/tex]

Therefore, the value of s is 4.375 when t=0.8.

37.29 for 2 pairs of jeans. How much for each pair.

Answers

Answer:

About $18.65 each

Step-by-step explanation:

Brainliest?!?!?!?

Answer:

$18.645

Step-by-step explanation:

 18.645

2|37 .29

   2    

----------

    17.  

    16.  

----------  

      1.2  

      1.2

      ---

       9

       8

       --

       10

       10

Therefore, 37.29 divided by 2=18.645

Plz help me I’m begging you I will give brainliest

Answers

Answer:

80 Cubic Units

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

Hope it helps :)

80 unites because 5 x 4 = 20 and 20 x 4 = 80

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