Two similar triangles, the perimeter of the first is 74cm and the side lengths of the other one are 4.5cm 6cm and 8 cm. Find the length of the longest side of the first triangle.

Answers

Answer 1

Answer:

the longest side of the first triangle is 32 cm

Step-by-step explanation:

Given;

dimension of the smaller triangle =  4.5cm 6cm and 8 cm.

the longest side of this smaller triangle = 8 cm

Perimeter of the first triangle = 74 cm

let the increase in dimension of the similar first triangle = x

the longest side of the first triangle = 8x

4.5x + 6x + 8x = 74

18.5x = 74

x = 74/18.5

x = 4

the longest side of the first triangle = 8 x 4 = 32 cm


Related Questions

Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME

Answers

Answer:

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

Step-by-step explanation:

Given expression is (15 - √105).

Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]

Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,

15 - [tex]\sqrt{105}[/tex] = Slightly less than 5

From the given options answer will be,

[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.

The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?

Answers

The answer for this question is 5,740

Answer:

81

Step-by-step explanation:

1350 ×15 % by 100 = 81. 15 year = 1,215

Nigel has 2 dogs one eats 21/2 pounds of food each week. The other eats 1 3/8 pounds a week together how much food do the dogs eat in a week?

Answers

Answer:The dogs eat 3 7/8 pounds of food together each week.

Step-by-step explanation:

First dog eats eats 21/2 pounds of food each week

The second eats eats 1 3/8 pounds of food each week

In total the two dogs eat  

2 1/2  + 1 3/8  = 3 (4+3)/8

=3 7/8

The dogs eat 3 7/8 pounds of food together each week.

72. Linear Speed. A wheel with a 30-cm radius is rotat- ing at a rate of 3 radians / sec. What is the linear speed of a point on its rim, in meters per minute?​

Answers

Answer:   Exactly 54 meters per minute

========================================================

Explanation:

Let's find the circumference

C = 2*pi*r

C = 2*pi*30

C = 60pi

This is the exact circumference in terms of pi.

In one revolution, the point on the wheel moves forward exactly 60pi cm.

In a sense, it's "speed" is 60pi cm per revolution.

----------------

Let's convert that speed to meters per minute as shown in the diagram below (I'm using the railroad tracks method to convert).

Note the color coding to see how the units cancel. The goal is to get meters on top and minutes down below. Also note how the "pi" terms cancel since we have on top and one down below.

After the canceled stuff goes away, we multiply straight across.

Multiplying the values across the top gives: 60*3*1*60*1 = 10800Multiplying across the bottom gives: 1*1*2*1*100 = 200

Divide the results: 10800/200 = 54

The linear speed is 54 meters per minute

This speed is exact because the 60pi figure is the exact circumference

This is the speed the point on the wheel moves, and we can say that the car itself also moves at a linear speed of 54 meters per minute.

Side note: 54 meters per minute = 2.013 mph approximately, which is a fairly slow walking speed.

Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}

Answers

Given:

The different functions in the form of set of ordered pairs.

To find:

The function which has an inverse that is also a function.

Solution:

A relation is a function if there exists unique y-value for each x-value.

We know that the inverse transformation is defined as:

[tex](x,y)\to (y,x)[/tex]

So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.

In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.

In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.

In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.

In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.

Therefore, the correct option is A.

A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.​

Answers

Answer:

(105 | 35)

the x-component (how much to the side) is left, the y-component right (how high)

The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

What is a graph?

A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.

For the given situation,

The graph shows the time in x-axis and cost in y-axis.

Ordered pairs are often used to represent two variables.

The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.

Thus the point of intersection is x at 110 and y at 35.

⇒ [tex](x,y)=(110,35)[/tex]

Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).

Learn more about graphs here

https://brainly.com/question/7563606

#SPJ2

help me please: tan3x-tanx-1=0



Answers

Answer: [tex]x=0.30714\dots +\pi n[/tex]

Step-by-step explanation:

[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]

Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?

Answers

You can put this solution on YOUR website!
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
---------

Test question........................

Answers

You Have Passed Thy Test!!! BADAAAA (\•o•/)

You forgot to attach the question to your test

Which equation describes the line graphed above?

Answers

D is the answer 2/3 rise over run and then it is sitting on the positive 4 on the y axis

URGENT! What are the residuals for the scatter plot. Thank you!

Answers

Answer:

demos & mathaway

Step-by-step explanation:

I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.

What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63

Answers

Answer:

0.78

used a calculator

It was would be C- 0.78 ❤️

Need honest and urgent help thank you

Answers

Answer:

(Top to bottom) The third and the fifth.

Step-by-step explanation:

I feel lazy typing this so I'll just take a pic if you're curious about the process.

What is the basic unit of time? What is the relationship between time and sound in music? please help im desperate

Answers

Duration is the length of time a pitch, or tone, is sounded." A note may last less than a second, while a symphony may last more than an hour. One of the fundamental features of rhythm, or encompassing rhythm, duration is also central to meter and musical form. (I copie d it from Goog le if you need a summed up explanation or one that’s not obvious it’s copie d from Googl e feel free to ask

factorise fully 3r+6r2

Answers

Answer:

3r(1 + 2r)

Step-by-step explanation:

3r + 6r^2

take common

3r(1 + 2r)

Answer:

3r(1+2r2)

Step-by-step explanation:

when 2-(7g-3) =-9 is solved, the result is:
a. 2
b. -2
c. -4
d. none of these choices are correct​

Answers

The answer is A. 2

Step-by-step explanation:

First let's simplify both sides of the equation

Now using the Subtraction Property of Equality subtract 5 from both sides

[tex]-7g+5-5=-9-5-7g=-14[/tex]

Now using the Division Property of Equality divide both sides by -7

can somebody help plz​

Answers

Answer:

(3,2)

Step-by-step explanation:

the other three ordered pairs do not lie in the shaded region

I found the answer on this link www.mathrp.zxrt

What are solutions to the equation x^2-34=864

Answers

Answer:

x=29.9

Step-by-step explanation:

x=29.9

Hellpp please and thank……………

Answers

Answer:

a1 = 2

a2 = 6 = 2.3 = a1.3

a3 = 18 = a1.3²

a4 = 54 = a1.3³

=> this is a geometric sequence with a1 = 2

q = 3

=> a11 = 2.3¹⁰ = 118098

Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6

Answers

The correct answers is A:12

Find the value of x using the geometric mean theorems.
All radical answers should be entered as a decimal rounded to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

i need help quick!! i need steps please. i dont understand it
will mark brainliest.

Answers

Answer:

Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know

Step-by-step explanation:

It is not a rotation, a mirror a flip or anything like that i think its only slides.

I didnt se this before every slide counts as 2 so its 4 up and 6 to the right

Yep he or she is right have a nice day

if f(x) = 3x+2 what is f(5)?

Answers

Answer:

just put 5 on the place of x

Step-by-step explanation:

3(5)+2

15+2

17

hope it helps

Answer:

lets say f equals 1

x-2 = 3x

-2 = 2x

x=-1

1(-1)

-1

Find the product of (2x-3)(x-1)​

Answers

Answer:

Step-by-step explanation:

[tex](2x -3)(x-1) = 2x(x-1) -3(x-1)[/tex]

                     [tex]=2x^2 -2x -3x +3\\= 2x^2 - 5x + 3[/tex]

Two Boys are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. One of them thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.

This is one of theirs work.

a2 + b2 = c2
32 + b2 = 52
9 + b2 = 25
b2 = 16
b = 16−−√
b = 4

Why is his reasoning incorrect? Explain.


How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Round your answer to the nearest tenth of a foot. Show your work.

Another boys parents bought a 10 foot piece of plywood for him and his friend to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Draw

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.

The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.

Let the hypotenuse be b Hence:

b² = 3² + 5²

b² = 9 + 25

b² = 34

b = 5.83 feet

Answer:C

Step-by-step explanation:

Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml

Answers

Answer:

surface area is A≈394.08

not so sure about volume

Step-by-step explanation:

Please help??? An explanation would help too and the answers

Answers

the first, (f+g)(x) is f(x) + g(x)

calculating it like:

x² + 7x + (8 -x²)

= x² + 7x + 8 -x²

= 7x + 8

you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.

edit1: the domain is the range of possibilities wich x we can plug into the new equation

Please help me. I feel really confused and I have no clue on what to do…

Answers

Answer:

i cant understand your questions. can you reply me? i will have better answer

Answer this for me thanks

Answers

Answer:

The value of x is 15 inch.

Step-by-step explanation:

Area, A = 81 square inch

Perimeter, P = 48 inch

let the side is y.

[tex]y^2 = 81\\\\y = 9 inch[/tex]

Let the other side is d.

P = 4 d = 48

d = 12 inch

the length x is given by

[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]

So, x = 15 inch.

The diagram shows a man standing next to a dinosaur.
Estimate the height of the dinosaur.

Answers

Answer:

manz I think u would need like a ruler or something

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