Mathematics High School

The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8. The perimeter of the triangle is 95 cm. What are the lengths of the sides?

Answers

Answer 1

Answer:

20 cm, 35 cm, 40 cm

Step-by-step explanation:

sum the parts of the ratio, 4 + 7 + 8 = 19 parts

Divide the perimeter by 19 to find the value of one part of the ratio.

95 cm ÷ 19 = 5 cm, then

4 parts = 4 × 5 cm = 20 cm

7 parts = 7 × 5 cm = 35 cm

8 parts = 8 × 5 cm = 40 cm

Thus the 3 sides are 20 cm, 35 cm and 40 cm

Answer 2

Answer:

The measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Step-by-step explanation:

Given that the lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8.

Also given that the perimeter of the triangle is 95 cm.

We know that the Perimeter of a triangle is the sum of all the sides of a triangle.

As the lengths of the sides of a triangle are in the proportion 4 : 7 : 8. Thus, the measure of the sides will have the same scale factor x.

Therefore,

4x + 7x + 8x = 95

Add similar elements: 4x + 7x + 8x = 19x

19x = 95

Divide both sides by 19

19x/19 = 95/19

x = 5

Therefore, the measure of the sides of a triangle will be:

4x = 4(5) = 20 cm

7x = 7(5) = 35 cm

8x = 8(5) = 40 cm

Verification:

20 + 35 + 40 = 95

95 = 95

Related Questions

An amusement part sells children
tickets, c, for $15 and adult tickets,
a, for $22. On Monday they sold
438 tickets and earned a total of
$7,067. How many children and
adult tickets did they sell on
Monday?

Answers

Let x = number of adult tickets
Then,x+147 = number of children's tickets

8/1 = (x+147) / x

x + 147 = 8x

7x = 147

x = 21

They sold 21 adult tickets and 168 children's tickets.

Conner had 354$ and spent 243 cents. How much did conner have left and how many dollars? please help. If you do, then I will tell you a secret.

Answers

Conner: $354 - 243 cents

243 cents = $2.43 because 100 cents = 1 dollar

Conner: $354 - $2.43 = $351.57

$351.57

He has 351 dollars left.

Answer:

354 - 243 = 111

Step-by-step explanation:

300 - 200 = 100

50 - 40 = 10

4 - 3 = 1

100 + 10 + 1 = 111

Classify the triangles as acute obtuse or right

Answers

Answer:

Acute

Obtuse

Right

Acute

Step-by-step explanation:

To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:

Let a and b be the shorter sides, c be the longest side.

If a^2+b^2 > c^2, then the triangle is acute.

If a^2+b^2 = c^2, then the triangle is right.

If a^2+b^2 < c^2, then the triangle is obtuse.

In what situation would you use the sine or cosine law, rather than just a simple trigonometric ratio?

Answers

Answer:

Mechanical work or work, kinetic and potential energy, etc

Step-by-step explanation:

Like in this work equation, W= FcosD

where F is the magnitude of the force acting on the object

where D is the magnitude of the object's displacement

where cos is the angle between the force and displacement vectors

hope that helps..

Distributed Property

Please simplify 5(-x-4)-4

thanks

Answers

it’ll be -5x - 24

you multiply the 5 by 4 and it’ll be 24, and put the x with the 5 and that’ll be your answer :)

(8) Use the information in the diagram to determine the height of the tree. The diagram is not to scale. GEOMETRY

Answers

Answer:

D = 37.5

Step-by-step explanation:

I need help with this math problem

Answers

Answer:

for the first on its a translation or c and for the second one its a reflection D

Step-by-step explanation:

What is the approximate area of the circle shown below? Please help and thank you

A. 11.6 ft2
B. 172 ft2
C. 23.2 ft2
D. 43 ft2

Answers

Answer:

Step-by-step explanation:

A = (pi)(r)^2

A = (3.14)(3.7)^2

A= ~43

Answer:

d. 43

Step-by-step explanation:

can somebody help me ?

Answers

Answer:

Step-by-step explanation:

24/4 is 6

Answer:

6 US dollars

Step-by-step explanation:

I'm not mcsmart sorry

When a number increases by 25% it becomes 20 find the numbers

Answers

16 is increased by 25% becoming 20. 4 is 25% of 16.

Can u help me understand how to write a function for the rule "the output is 3 less than 5 times the input" thanks :)

Answers

Answer:

I think it would be something like 5x - 3 =

Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?

Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.

Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight

Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.

Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.

Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.

Part F
Simplify the expression (2d + 3) + (3d − 12).

Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.

Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?

Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.

Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.

Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.

art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.

PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ

Answers

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A A = 2 x D + 3

Part B B= 3 x D - 12

Part C C= A+B A = 2 x D + 3 B= 3 x D - 12

Part D Cecil weighs 216 pounds

Part E Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F 5d-9

Part G Cecil’s weight in terms of Dylan’s weight is 5d – 9. Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9 = 225 − 9 = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I Bruce's weight in terms of Dylan’s weight is 3d − 12. Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J The expression is (3d − 12) − (2d + 3). Evaluate the expression by substituting Dylan’s weight (d = 45) into it: (3 × 45 − 12) − (2 × 45 + 3) = (135 − 12) − (90 + 3) = (123) − (93) = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L The expression is d − 15. Evaluate the expression by substituting Dylan’s weight (d = 45) into it: 45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

What is the absolute value of -9?

Answers

Answer:

Step-by-step explanation:

Absolute value means the distance from 0 on a number line, and -9 is 9 spots away from 0

Answer:

Step-by-step explanation:

Absolute value just means the positive value of the number

Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
How do you know?
please help <3

Answers

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

Given Q'R'S'T' is a dilation of QRST, find the scale factor of dilation.

Answers

Answer:

5Cause 15 divided by 3 is five

Trevor has 3 2/5 pieces of cake left over. If she wants to split it between her and her 9 friends, how much will each
person get?

Answers

Answer:

17/50.

Step-by-step explanation:

If we convert 3 2/5 into an improper fraction, we get 17/5.

If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.

The question says "her AND her 9 friends," so there are 9+1=10 people total.

Thus, the answer would be

17/5 ÷ 10 = 17/5 * 1/10 = 17/50.

Find the value of x in the triangle shown below choose 1 answer

Answers

Answer:

x=10

Step-by-step explanation:

X^2=6^+8^

x^2=36=64

x^2=100, square root of 100 =10

x=10

its 10 ! hope this helps !

I don't understand this

Answers

Answer:

Step-by-step explanation:

It's quite simple. A triange has a total of 180 degress. So add 47 and 74 to get 121. Then do 180 minus 121 to get 59

Answer: 59

Explaination:
A triangle must always add up to 180, since the image already gave you the two angle’s degrees. Now you add them together and get 121 now you subtract 180 to 121 to find the missing values. Which is 59.

On a math test a student, Sarah, has to identify all the coefficients and constants of
the expression 8 + 7b+y. Sarah says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Sarah have made?
The coefficient(s) of the expression is/are -
(Use a comma to separate answers as needed.

Answers

The coefficients are 7 and 1 and the constant is 8. Sarah forgot that there’s a 1 in front of y

Work out the area of this circle with radius 11.2 take pie to be 3.142 and give your answer to 2 decimal places

Answers

Answer:

394.13 to 2 D.P.s

Step-by-step explanation:

Area = pi r^2

= 3.142 * 11.2^2

= 394.132.

The area of this circle up to 2 decimal places will be 394.13 square units.

What is the area of the circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of the circle is 11.2 units and takes π to be 3.142. Then the area is given as,

A = π x (11.2)²

A = 3.142 x 125.44

A = 394.13 square units

The area of this circle up to 2 decimal places will be 394.13 square units.

More about the area of a circle link is given below.

https://brainly.com/question/11952845

#SPJ5

Help plz ASAP , geometry

Answers

Answer:

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)

a^2 + 7^2 = 8^2

a^2 + 49 = 64

a^2=15

Now take the square root of 15 which is about 3.8

Sheila's entertainment center has enough space for a television that is 12 inches long and 15 inches high. TVs for Less is selling a television with an area of 196 square inches. Will the television fit in Sheila's entertainment center?

Answers

12x15 = 180

196 is greater than 180

No, the tv will not fit

2(1-x)+3x
PLZ ANSWER

Answers

Answer: 2 + x

Step-by-step explanation:

What is the value of x

Answers

Answer:

4.4

Step-by-step explanation:

10/4=2.5

11/2.5=4.4

You had $23 to spend on five raffle tickets. After buying them, you had $8.
How much did each raffle ticket cost?
O $103
O $3
O $75
O $15

Answers

Answer:3

Step-by-step explanation:

23-8= 15

15/5=3

The answer is $3

because 23-8=15
15/5=3

In a study of 82 Halo game players, it was found that the ages of these players were normally distributed, with a mean age of 17 years and a standard deviation of 3 years. Find the z score for a 21 year old.

A.) 2
B.) -2
C.) -1.33
D.) 1.33

Answers

Answer:

Step-by-step explanation:

and bro i am i have a brother that always on my account makes me that im cheating that im not and he always blames me so thats why my bro has too many gfs and always blames me

What’s the answer? QUICK

Answers

Answer:

Step-by-step explanation:

4 and 1/6

Which expression is equivalent to
8g + 2+ 4g - 2 -2g?
1. 16g+4
2.16g
3.10g+4
4.10g

Answers

Answer:

4. 10g

Step-by-step explanation:

8g + 2 + 4g - 2 - 2g

8g + 2 + 4g - 2 - 2g = 10g

8g + 2 + 4g - 2 -2g = 0

Final Answer:

10g

helpppppppppppppppppppppppppppppppppppp please!

Answers

Yes I did not get a hold on you and you can see you at your place I will call him back and see what he says about it I think I have a lot to say about that and he is going on the phone and he doesn’t know how he is going on it and I was just telling him I don’t know what he is going on with him but but it’s ok if you do it I can see him in shields m.

solve equation
x^2+6x+1=0
give your answer to 2 decimal places

Answers

Step-by-step explanation:

x² + 6x + 1 = 0

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.

What is a quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given quadratic equation,

x² + 6x + 1 = 0

Make the whole square as

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".

For more about the quadratic equation,

https://brainly.com/question/17177510

#SPJ2

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The lengths of the sides of a triangle are in the extended ratio 4 ​: 7 ​: 8. The perimeter of the triangle is 95 cm. What are the lengths of the​ sides?

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The lengths of the sides of a triangle are in the extended ratio 4 : 7 : 8. The perimeter of the triangle is 95 cm. What are the lengths of the sides?