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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

Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Answers

Answer:

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Are these terms alike or unlike: 2xy and 2xyz

Answers

Answer:

Unlike

Step-by-step explanation:

When it comes to like terms, the numbers must have the same ending variable, 2xy and 2xyz do not have the same ending variable, which seeing it, one ends with 2xy and the other with 2xyz. Therefore these terms are not the same and the answer is unlike.

Answer:

unlike

Step-by-step explanation:

this is bc 2xy does have a z while 2xyz does

Maria used one bag of flour. She baked
two loaves of bread. Then she used the


remaining flour to make 48 muffins. How


much flour was in the bag when Maria


began?

Answers

Answer:

48 pounds

Step-by-step explanation:

7 answer is 89-7 because 3x2 is 9 so. Divide nine into two you get 1.5

Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Ranjan got 0.04 for his quotient. Which student divided correctly? How do you know? P 7•3

Answers

The answer is 2.84 and I am not sure

Answer:

Step-by-step explanation:

It’s Roman if you do the math you will get 4.94

How would you know

When doing the math i got the answer 4.94 which that mean ranjan divide wrong

The triangle represents a scale drawing that was created by using a factor of One-half.

A triangle with sides lengths of 5 inches.

Which is true of the measures of the sides of the original triangle?
Each side of the original triangle is One-half the length of each side of the scale drawing.
Each side of the original triangle is 2 times the length of each side of the scale drawing.
Each side of the original triangle is the same length as each side of the scale drawing.
Each side of the original triangle is 2 inches shorter than the scale drawing.

Answers

9514 1404 393

Answer:

  (b)  Each side of the original triangle is 2 times the length of each side of the scale drawing.

Step-by-step explanation:

If the smaller is 1/2 the larger, then the larger is 2 times the smaller. The original triangle's sides are 2 times those of the scale drawing.

Find the length of x.

Answers

Answer:

5

Step-by-step explanation:

6/4 = 7.5/x

7.5/1.5=5

please help i’ll give you brainliest and a thanks ❤️

Answers

1. 2⁰
2. 2¹
3. 2-¹
4. 2⁰

Answer:

[tex]2^{4} x 2^{-4} ---- 2^{0} \\2^{-4} x 2^{5} ---- 2^{1} \\\frac{2^{4} }{2^{5}} ---- 2^{-1} \\\\\frac{2^{4} }{2^{4}} ---- 2^{0}[/tex]

Step-by-step explanation:

(pretend the x's are multiplication signs)

hope this helps you!

The price of a car was decreased by 40% to £750.
What was the price before the decrease?

Answers

60% = 750
10% = 125
1000% = 1250

Price before decrease is £1250

i will really appreciate it if you guys could help me out .

Answers

Answer: he owes him 3 cents

Step-by-step explanation:

Answer:

3$

Step-by-step explanation:

you got to do 8 minus 5.

find the difference of (6x^2+3x-5) and (4x^2-2x+3)

Answers

Answer:

ummm

Step-by-step explanation:

cz points

f(x)=3x2+2x−3

g(x)=2x+4

Answers

Answer:

what are we supposed to find here ?

Factor the expression
12x^2 +7x+1

Answers

Answer:

[tex]\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}[/tex]

Step-by-step explanation:

A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

[tex]\sf\implies p(x)= 12x^2+7x+1[/tex]

And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: Multiply the coefficient of x² with the constant term .

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: Look out for the possible factors of the number .

Here the obtained number is 12 . So the possible factors of 12 is

1 *12-1*-122*6-2*-64*3-4*-3

Step3: Choose the factor whose sum is equal to the coefficient of the middle term .

Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .

Step 4: After proper arrangements take out the common term and then factorise.

After suitable rearrangment we get ,

[tex]\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}[/tex]

The value of the variable for which the equation is satisfied is called the
___________ of the equation.

Answers

Answer:

solution

Step-by-step explanation:

The value of the variable for which the equation is satisfied is called the solution of the equation.

Graph the line with the equation y=
- 1/5x + 4

Answers

Step-by-step explanation:

look at the attachment

.....

The graph of the linear equation is plotted and y = ( -1/5 )x + 4

Given data ,

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

On simplifying , we get

y = ( -1/5 )x + 4

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = -1/5

And , the y-intercept of the graph of the line is when x = 0

So , when x = 0

y = ( -1/5 ) ( 0 ) + 4

y = 4

Hence , the equation of line is y = ( -1/5 )x + 4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ6

Help please? :) I need some help !!!!!!!!!

Answers

Answer:

i gotchu step sis u need help with them laundry's

Step-by-step explanation:

Answer:

Answer:

answer is 8

Step-by-step explanation:

put the equations equal to each other

then simplify

it is bcz of a angle type of parallel lines

corresponding angle

Step-by-step explanation:

I need help:(
Find x and y

Answers

Sin 45= x/8
X=5.6568 =5.66

You can either do cos 45= y/8 or just use the same value as x because it is an isosceles triangle so x and y are the same length

Please let me know if my answer is right! Thanks!

Find the markup rate on a 60$ jacket that sells for 75$

Answers

it went up 125% or 25 percent more

Which equation shows that y varies directly with x?
y = 0.8x
y = 0.8x/x
y = 0.8x - 5
y = x/8 + 5

Answers

y=0.8x
ummm i think so. yea because y is only going to x ig

A bag contains 77 coins consisting of quarters and nickels. The total value of the coins is $12.50. Write a system of equations that can be used to determine the number of quarters, x, and the number of nickels, y, in the bag. a x + y = 77 0.25x + 0.5y = 12.5 b 0.25x +0.5 y = 77 x + y = 12.5 c x + y = 77 0.25x + 0.05y = 12.5 d 0.25x + 0.05y =77 x + y = 12.5

Answers

I got this question too and I have no idea :(

Answer:

A

Step-by-step explanation:

because the answer needs both amounts of money and the beginning equation x + y = 77 can't have any other numbers.

2/5 divided by 4 and reduce the answer

Answers

Answer:

1/10 i guess

Step-by-step explanation:

2/5=0.4

0.4/4=0.1

0.1=1/10 (one tenth_

Answer:

1/10

Step-by-step explanation:

2/5 ÷4 is the same as 2/20, which is 1/10

plz help ill give brainliest for best answers

Answers

Answer:

The least they will have to pay is 235 dollars.

They will have to pay 15 more dollars next year. (250 dollars)

Step-by-step explanation:

25x3=75

40x4=160

75+160=235

25x2=50

40x5=200

50+200=250

Consider AWHY below.
Y
h
31
67°
H Η
W
Solve for h. Round your answer to one decimal place.

Answers

73.0

Step-by-step explanation:

tan 67°=O/A=h/31

h=31tan67°

h=73.0

1. Kate deposits $2,350 in an account that earns interest at a rate of 1.1%, compounded
monthly. What is her ending balance after 5 years? Round to the nearest cent.

B = P (1+5) "
P =
r =
n =
t =

Answers

Answer:

$454220

Step-by-step explanation:

Given: B = P[tex](1 + \frac{r}{n} )^{nt}[/tex]

But, B is the future amount

      P is the present amount = $2350

      r is the rate = 1.1%

     n is the number of compounding per year = 12

     t is the number of years = 5

So that;

B = 2350[tex](1+\frac{1.1}{12}) ^{12*5}[/tex]

  = 2350[tex](1.0917)^{60}[/tex]

B = 2350 x 193.2852

  = 454220.22

B = $454220

Thus, her ending balance after 5 years is $454220.

Keith has $500 in a saving account at the beginning of the summer. He wants to have at
least $200 in the account. He withdraws $25 from his account each week for food,
clothes, and movie tickets. ("Withdraws" means he takes money out of his account.)
How many weeks can he withdraw $25 per week and still have at least $200 in the
account?


There’s a second question to this problem:
How many weeks can Keith withdraw $25 per week and still have at least $200 in the account? Write your answer in interval notation.

Answers

Answer:

12 weeks

Step-by-step explanation:

25x = 300

so 25 times what equals 300, or the amount he can spend before going under 200 in his account.

25 (times) 12 = 300

Answer:

12 weeks

Step-by-step explanation:

x=# of weeks

500-25x[tex]\geq[/tex]200

-500        -500

____________

-25x    [tex]\geq[/tex]   -300

-25           -25

x[tex]\leq[/tex] 12 weeks

What is the value of y = 7 - 2x when
X=4?
When x = 4, y =

Answers

y=7-2x=>y=7-2x4(x=4)
y=7-8=-1=>
x=4;y=-1
y=7-2(4)
y=7-8
y=-1
y is equal to negative 1

Please help! Will mark brainliest

Answers

I believe its 35 but im thinking it can be 40 too

40; That’s a 90 degree angles and they already gave you 50 so 90-50= 40

Solve for A.
BA + C = D
1)A = D-B-C
2)A = (D-C)/B
3)A = (C - D)B
please hurry

Answers

i’m 95% sure the answer is 2

Find measure of angle TUV and provide explanation. 25 points and will mark brainliest

Answers

Answer:

72°

Step-by-step explanation:

∠TUV = (arc TSV - arc TV) / 2 = ((360-108)-108) / 2 = 144/2 = 72

Find the equation in slope-intercept form of a line with slope -2 and y-intercept 4.
A. y=-2x B. y=4x-2 C. y=2x-4 D. y=-2x+4

Answers

Answer:

D. y=-2x+4

Step-by-step explanation:

What is the relationship of the angles

Answers

Alternate Interior Angles

Answer:

alternate interior

Step-by-step explanation:

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