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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].


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Find the length of x.

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Answer:

5

Step-by-step explanation:

6/4 = 7.5/x

7.5/1.5=5

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Step-by-step explanation:

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Step-by-step explanation:

What is the relationship of the angles

Answers

Alternate Interior Angles

Answer:

alternate interior

Step-by-step explanation:

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

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

Answers

it went up 125% or 25 percent more

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

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

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

Answers

Answer:

ummm

Step-by-step explanation:

cz points

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 :

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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.

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

Answers

y=7-2x=>y=7-2x4(x=4)
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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]

f(x)=3x2+2x−3

g(x)=2x+4

Answers

Answer:

what are we supposed to find here ?

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Answers

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

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Answers

Answer:

D. y=-2x+4

Step-by-step explanation:

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Answers

Answer:

72°

Step-by-step explanation:

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Answers

1. 2⁰
2. 2¹
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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!

1. Kate deposits $2,350 in an account that earns interest at a rate of 1.1%, compounded
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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

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      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.

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Answer: he owes him 3 cents

Step-by-step explanation:

Answer:

3$

Step-by-step explanation:

you got to do 8 minus 5.

I need help:(
Find x and y

Answers

Sin 45= x/8
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Maria used one bag of flour. She baked
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Answers

Answer:

48 pounds

Step-by-step explanation:

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

Answers

Answer:

Unlike

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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

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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.

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

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.

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

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.

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

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

Answers

i’m 95% sure the answer is 2
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