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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

‼️please help ASAP.

Answers

Try to do them on math -way

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PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST

Answers

Answer:

neither one of those are a dot plot

Step-by-step explanation:

Answer:

height of kids in class is the dot plot

Step-by-step explanation:

A middle school student reads 48 books in 31/3 years. Find the students reading rate in books per year

Answers

Answer: 14 2/5 books per year

Step-by-step explanation:

From the question, we are informed that a middle school student reads 48 books in 31/3 years. The students reading rate in books per year will be calculated as:

= Total books read / Number of years

= 48 ÷ 3 1/3

= 48 ÷ 10/3

= 48 × 3/10

= 144/10

= 14 2/5 books per year

a pencil costs 16p and a rubber costs 23p. bob purchases 18 pencils and 12 rubbers. Calculate how much he spends

Answers

Answer:

564p

Step-by-step explanation:

I hope this helps you.

An alarm rings 8 times in 5 seconds. What is the unit rate ,in rings per second?

Answers

1.6 rings per second
1.6 per second hope this helped!!! it’s 5 divided 8. ( 8/5=1.6 )

PLZ HELP! I'M ON A TIME CRUNCH!
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 pints, how many points did Andre score?

Answers

Answer:

Let andre score be x points.

then Diego's score will be (x-9) points.

Noah's points=2(x-9) points

the equation is 2(x-9) = 10

dividing both sides by 2,

2(x-9)/2 =. 10/2

x-9= 5

adding 9 both sides,

x-9+9= 5+9

x=14.

Step-by-step explanation:

Answer:

Andre score 14 points

Step-by-step explanation:

noah = 2*diego

diego = andre - 9

given noah = 10

noah = 2*Diego

10 = 2*Diego

Diego = 5

diego = andre - 9

5 = andre - 9

andre = 9 + 5

Andre = 14

Given a set of data, what steps would you take to identify whether the data showed linear or exponential growth?

Answers

Answer:

See explanation

Step-by-step explanation:

The first thing to do when given a data set is to ensure that the x-values are spaced in equal intervals.

The next is now to determine if the given y-values are increasing by the same amount(a common difference) or by the same ratio(a common ratio).

The data set is linear if the y-values increase by a common difference and the data set is exponential if the y-values increase by a ratio or factor.

Answer:

Which of the following steps did you include? Check all of the boxes that apply.

Make sure that the x-values are spaced apart in equal intervals.

Determine whether the y-values increase by the same amount or by the same ratio.

Decide that the data is linear because the y-values increase by a common difference.

Decide that the data is exponential because the y-values increase by a ratio or factor.

Step-by-step explanation:

i took the test

find the area of the circle with a cirumfererference of 30pi write your solution in terms of pi

Answers

Answer:

225 pi

Step-by-step explanation:

2pi r=30pi

pi r =15pi

pi r2=225pi

225 pi

Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want all of the faces to be the same color. How many ways are there for Kathy to paint her die?

Answers

Answer:

The number of ways Kathy can paint her die is 52 ways

Step-by-step explanation:

The permutation and combination related question is answered as follows;

The number of faces in the six-sided die = 6

The number of colors available for painting the six-sided die = 2 colors

Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;

n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂

Where;

₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30

₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1

₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4

₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12

∴ n = 30 + 2×1 + 2×4 + 12 = 52

The number of ways Kathy can paint her die, n = 52 ways.

2 Which of the following fractions are equivalent to 2/4?​

Answers

Answer:

1/2=2/4

Step-by-step explanation:

The diameter of a circle is 40.0cm. What is the circumference of the circle?
Use 3.14 for pi

Help would really be appreciated bc I do not understand circles lol

Answers

Answer:

Answer is 125.6

Step-by-step explanation:

Diameter=40cm

radius=40÷2 = 20cm

Circumference = 2πr

=2×3.14×20

=125.6

Volume of cylinder & cone ... Help me please

Answers

Answer:

The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h.

Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10

Answers

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10

Kenny wants to take his dog to obedience school. At Sit and Stay School, 12 lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is the better deal?

Answers

Answer:

25 lessons that cost $125

Step-by-step explanation:

If 8 lessons cost $96

then, 96/12 =8

therefore a lesson costs $8

If 25 lessons costs $125

then, 125/25= 5

therefore a lesson costs $5 which is cheaper.

An average person can type 2,4002,400 words per hour. Trista types at the same rate as the average person and made the double number line below to estimate how long it will take her to type her research paper. ​​Using Trista's double number line, estimate how long it will take her to type her 1,400-word research paper.

Answers

Answer:

35 minutes

Step-by-step explanation:

Given that:

Trista:

Average word type per hour = 2400 words /hr

For Trista to type her 1400 word research paper ;

It will take 'h' hour

If

2400 words = 1 hour

1400 words = h

Cross multiply :

2400h = 1400

h = 1400 / 2400

h = 0.5833333 hr

To minutes, it will take :

0.5833333 * 60 = 35 minutes

Hence, it will take Trista 35 minutes or 0.5833333 to type her 1400 words research paper.

Simplify sin2q cot2q.

Answers

Answer:

cos2q

Step-by-step explanation:

sin2q x cos2q/sin2q

= cos2q

solve using a2 + b2 = c2
show the work please :)

Answers

Answer: 19.20937

Step-by-step explanation:

a2=15

b2=12

c2=?

a2+b2=c2

15(15)+12(12)= c2

225+ 144=c2

√369= √c2

≐19.20937 ft

3√41

PLEASE HELP!!
if y(x) = 5x-2 and g(x) = 2x + 1, find (f + g)(x).

Answers

Answer:

(f + g)(x) = 7x - 1

Step-by-step explanation:

Given :  f(x) = 5x – 2 and g(x) = 2x + 1

We have to find  (f + g)(x)

Consider  (f + g)(x) = f(x) + g(x)

Also, given  f(x) = 5x – 2 and g(x) = 2x + 1

Substitute, we have,

f(x) + g(x) = 5x - 2 + 2x + 1

LIKE TERMS are terms having same variable with same degree.

Simplify by adding like terms,  we have,

f(x) + g(x) = 5x + 2x - 2  + 1

f(x) + g(x) = 7x  - 1

Thus, (f + g)(x) = 7x - 1

Indicate the answer choice that best completes the statement or answers the question.
PRODUCTION A manufacturer produces 950 light bulbs per day.
Days, d
1
2
3
4
Bulbs, b
950
1,900
2,850
3,800
Use the equation to determine how many bulbs the manufacturer will make in 25 days.
Oa 23,750 bulbs
Ob. 38 bulbs
Oc. 24,700 bulbs
O d. 975 bulbs

Answers

Answer:

a - 23,750 bulbs

Step-by-step explanation:

950 x 25 = 23,750

Estimate 13.5 km to miles ASAP!!!

Answers

Answer:

8.388511

Step-by-step explanation:

Divide by 1.609

A whole number whose square root is an integer

Answers

Answer:

These are also called "Perfect Squares", and if you're asking what I think you're asking, the first 20 perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361 and 400.

Step-by-step explanation:

The possible integer square root are 0,1,2,3 and 4

The aquarium opened at 8.00 am . In the first hour 140 people purchased admission tickets . In the second hour 25 % more people purchased admission tickets than the first hour . Each ticket cost 15.25 . What was the total amount of money paid for all the tickets purchased in the first two hours please help

Answers

Answer:

Total income= $4,083.75

Step-by-step explanation:

First, we need to calculate the total number of people that enter the aquarium in the first two hours.

1st hour= 140

2nd hour= 140*1.25= 175

Total number of people= 315

Now, we can determine the total amount of money earned:

Each ticket cost 15.25.

Total income= 315*15.25

Total income= $4,083.75

Students in a 6th grade class are raising money for an end-of-year camping trip. So far, they have raised $240. This is 2/5 of the cost of the trip. How much does the trip cost?

Answers

the trip costs $600 !!!

Someone plz help me with this 2 questions I will give brainliest
(Look at the pictures)

Answers

Answer:

61 ounces

Step-by-step explanation:

1 pound = 16 ounces

8 pound 3 ounces = 8*16 + 3 = 128 +3 = 131 ounces

No Jesse's weight = 12 pounds = 12*16 = 192 ounces

Weight gained = 192 - 131 =  61 ounces

Mrs Jenkins buys a car for £3400.
She sells it for £3800.
Work out her percentage profit.

Answers

Answer:

%11.76

Step-by-step explanation:

400/3400x100 = 11.76

9(3+v)
answer pleaseee

Answers

Answer:

27+9v

Step-by-step explanation:

distribute



It’s distributing. You multiply 9 with 3 and v. And the answer will be :


= 27+9v

Please help me. Thank you! ​

Answers

Answer:

25

Step-by-step explanation:

I don't know the steps

-2(p - 1) = 15 HELPPP PLEASEE

Answers

Answer:

p = -6.5

Step-by-step explanation:

-2(p-1) = 15

p-1 = -7.5

p = -6.5

-2(p - 1) = 15


-2p + 2 = 15



Subtract 2 on both sides.


-2p = 13


Divide by -2 on both sides.


p = -6.5

ABOVE & BEYOND: What is the slope of the line graphed below?​

Answers

Answer:

3

Step-by-step explanation:

Please help!



Select ALL of the expressions that are equivalent to
3.5 – (4.7).
3.5+ (-4.7)
4.7 – (3.5)
-4.7 + 3.5
3.5 +4.7
3.5 - (-4.7)


Answers

Answer:

Step-by-step 16

16 x 81

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