two segments are divided proportionally. If the ratio of the two parts of the first segment is 3:5, what is the length of the longer part of the second segment if the shorter measures 21 cm?

a. 30 cm b. 33cm c. 35 cm d. 37 cm

Answers

Answer 1

Answer:

C.35 cm

Step-by-step explanation:

[tex] (\frac{21}{3} ) \times 5 = \\ 7 \times 5 = 35[/tex]

Answer 2

The length of the longer part of the second segment is 35cm.

What is proportion ?

"Proportion is explained majorly based on ratio and fractions. A fraction, represented in the form of a/b, while ratio a:b, then a proportion states that two ratios are equal. Here, a and b are any two integers."

"Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion"

Given here,

length of the shortest line segment is 21cm.

and ratio in which the length segment are been divided is 3:5

the length of the longest segment will be 21/3 * 5 = 35

Hence the length of the longest side will be 35cm.

To know more about proportions here

https://brainly.com/question/13419413

#SPJ2


Related Questions

Mrs. Jame's bedroom has a perimeter of 46 feet. If the length of the bedroom is 11 feet. What is the width of the bedroom?​

Answers

Answer:

[tex]i \: dont \: kow \: the \: answer[/tex]

Salamat

50 points! AND BRAINLIEST!!!

Answers

Answer:

A 1/4

Step-by-step explanation:

There are ………………..rational numbers between 2 and 3

Answers

Answer:

Infinite many

Step-by-step explanation:

There are infinite many rational numbers between 2 and 3.


I hope it helps! Have a great day!

Muffin ^^

Pls help meeeeeee I can only give brainly if multiple people answer

Answers

Answer:

x=4 y=6

Step-by-step explanation:

y=−1/2x+8;3x+4y=36

Step: Solvey=

−1/2x+8for y:y=−1/2x+8

Step: Substitute

−1/2x+8foryin3x+4y=36:

3x+4y=363x+4(−1/2

x+8)=36

x+32=36(Simplify both sides of the equation)

x+32+−32=36+−32(Add -32 to both sides)

x=4

Step: Substitute4forxiny=

−1/2x+8:y=−1/2x+8

y=−1/2(4)+8

y=6(Simplify both sides of the equation)

Answer:

x=4 and y=6

[tex]3x+4y=36\\y=-\frac{1}{2} x+8\\\\[/tex]

Since we know the value of y in the second equation, let us plug it into the first equation

[tex]3x+4(-\frac{1}{2} x+8) = 36\\3x-2x+32 = 36\\x = 4[/tex]

Now let us plug our known value of x into the second equation, [tex]y=-\frac{1}{2} x+8[/tex]

[tex]y=-\frac{1}{2} x+8 =- \frac{1}{2} *4+8 = 6[/tex]

So x = 4 and y = 6

Hope that helps!

4 3/5 as a percentage

Answers

4 3/5 as a percentage is 460 percent

Please Help Me !!! Its A Math Question !!What is the domain of the quadratic equation that contains the following points?

(-2, 4), (-1, 1), (0, 0), (1, 1), (2, 4)

Question options:

(−∞,∞)

[0,∞)

(0,∞)

Answers

Answer:

(-infinity, inifinty)

Step-by-step explanation:

the domain should be all real numbers of this quadratic



Jose and David each had to rent cars for their company. Jose rented some vans and some SUVs in
California$312.
David rented some vans and SUVs in Nevada. The cost for renting vans is $12 and the cost for renting
SUVs is $3, the total he paid was $264.

Answers

Answer:

[tex]\left \{ {{x+y=312} \atop {12x+3y=264}} \right.[/tex]

Step-by-step explanation:

The suvs have to add together

solve this please and thank you​

Answers

Answer:

∠ x = 20°

Step-by-step explanation:

Complementary angle sum to 90° , so

2x + x + 30 = 90°

3x + 30 = 90° ( subtract 30 from both sides )

3x = 60° ( divide both sides by 3 )

x = 20°

Answer:

X = 70

Step-by-step explanation:

[tex]x + 30 + 2x = 90 \\ 3x - 30= 90 \\ x - \frac{30}{3} = \frac{90}{3} \\ x - 10 = 30 \\ Add 10 to \: both \: sides: \\ x-10+10=30+10 \\ Simplify \: the \: arithmetic: \\ x=30+10 \\ Simplify \: the \: arithmetic: \\ x=40[/tex]

Two numbers have a sum of 10 and a product of 24.
The smaller of the two numbers is which of the following.
2
4
6
3

Answers

Answer:

the Answer is 4 and 6

Step-by-step explanation:

4 + 6 = 10 but 4 x 6 = 24

Ryan made 3 pitchers of juice. Each pitcher holds 9 glasses of juice. How many glasses in total did Ryan make?

Answers

Answer:

27 glasses

Step-by-step explanation:

If one pitcher holds 9 glasses,

and

there are 3 pitchers,

multiply 9 by 3.

9×3 = 27

PLEASE GIVE ME THE ANSSWERSSS PLEASEEE I NEED ITTT RIGHT NOW I HAVE A IMAGE ATTACHEEDDD

Answers

The points H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4) can either be a relation or a function

The domain is: [-3,-1,0,3]The range is: [-4,4,7,8]The ordered pair is a functionThe range of the table is [tex]y \ge 0[/tex]

The graph of the points

The points are given as:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

See attachment for the graph of the points

The domain of the points

This is the set of the x coordinates of the points

Hence, the domain is: [-3,-1,0,3]

The range of the points

This is the set of the y coordinates of the points

Hence, the range is: [-4,4,7,8]

How to determine if the ordered pair is a function

Recall that the points are:

H = (3,7); J = (0,4); K = (-1,8) and M = (-3,-4)

Rewrite the points using mapping

[tex]\left[\begin{array}{c}3&0&-1&-3\end{array}\right] \to \left[\begin{array}{c}7&4&8&-4\end{array}\right][/tex]

None of the x values point to multiple y values.

Hence, the ordered pair is a function

How to complete the table

The function is given as:

[tex]f(x) = x^2[/tex]

When x = -1, we have:

[tex]y = (-1)^2 =1[/tex]

For other values, we have:

[tex]y = (0)^2 =0[/tex]

[tex]y = 1^2 =1[/tex]

[tex]y = 2^2 =4[/tex]

Hence, the complete table is:

[tex]\left[\begin{array}{ccc}x&f(x) = x^2&f(x)\\-1&y= (-1)^2&1\\0&y= 0^2&0&1&y= 1^2&1&2&y= 2^2&4\end{array}\right][/tex]

Hence, the range of the function is [tex]y \ge 0[/tex]

Read more about graphs and functions at:

https://brainly.com/question/13473114

please answer these questions.

Answers

13) 5:4
14)12:54
15)10:1
16)3:5
17) 21:6
18)5:1
19)5:6
20)11:12

Answer:

Step-by-step explanation:

[tex]13) \dfrac{5}{x}=\dfrac{20}{16}[/tex]

In the numerator, 20 ÷ 4 = 5

So, x = 16 ÷ 4 = 4

5 : 4 = 20:16

14)

[tex]\dfrac{2}{9}=\dfrac{12}{x}[/tex]

In the numerator, 2*6 = 12

So, x = 9*6 = 54

2:9 = 12 : 54

15)   [tex]\dfrac{x}{1}=\dfrac{30}{3}[/tex]

In the denominator 3 ÷ 3 = 1

So,  30 ÷ 3 = 10

10 : 1 =  30 : 3

[tex]16)\dfrac{x}{5}=\dfrac{21}{35}[/tex]

In the denominator, 35 ÷ 7 = 5

x = 21 ÷ 7 = 3

3 : 5 = 21 : 35

[tex]17) \dfrac{21}{x}=\dfrac{7}{2}[/tex]

In the numerator, 7 *3 = 21

So, x = 2*3 = 6

21: 6 = 7 : 2

Can you do question b for me I don’t understand

Answers

Answer:

So you round 756 to 1 sig figure and it will become 800, the same with 8674 will become 9000

So 800 * 9000 = 7,200,000

Joey has three john jacob jack Jacob is older than john but younger than Joey. Jack is younger than john list all four brothers in oldest to youngest

Answers

Answer: 1.joey 2. jacob 3.jhon 4. jack

Step-by-step explanation:

Answer:

Joey, Jacob, Johnathan, Jack

Step-by-step explanation:

Joey has three brothers = 4 total

Jacob is older Jonathan but younger than Joey. Jack is younger than Jonathan.

How to find circumcenter of a triangle with vertices.

Answers

Answer:

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter. It is denoted by P(X, Y). The circumcenter is also the centre of the circumcircle of that triangle and it can be either inside or outside the triangle.

Step-by-step explanation:

Steps to find the circumcenter of a triangle with vertices are:

Calculate the midpoint of given coordinates, i.e. midpoints of AB, AC, and BC

Calculate the slope of the particular line

By using the midpoint and the slope, find out the equation of the line (y-y1) = m (x-x1)

Find out the equation of the other line in a similar manner

Solve two bisector equations by finding out the intersection point

Calculated intersection point will be the circumcenter of the given triangle

A person rides a motorbike in 3 hours and covers 105 km. Calculate the speed of the motorcyclist?

Answers

Answer:

0.33km

Step-by-step explanation:

Answer:

35km/h

Step-by-step explanation:

105 km in 3 hours

105km/3h

Divide top and bottom by 3

35 km/1 h

HELP WILL NAME BRAINLIEST

Answers

First, you must find the width of GHJK. Since the area of it is 84m², divide 84 by 7.
84÷7=12
So the width of GHJK is 12m.
Next, find the scale of GHJK to LMNP. Since the height of both are already available, you can divide 21÷7 to get 3
This means that to get the width of LMNP you must multiply the width of GHJK by 3.
12×3=36.
Now, to get the area of LMNP, multiply 21 by 36.

21×36=756

So, the area of LMNP is 756m². (Don't forget the units!>

what are the vertices resulting image A’, B’,C’,D’,E’ after rotating 90 degrees?

Answers

Answer:

your answers would be

a= (2,4)

b= (4,4)

c= (2,6)

d= (6,2)

e= (4,2)

Will give brainilest if correct Element X decays radioactively with a half life of 15 minutes. If there are 770 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 32 grams?

Answers

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

Therefore the mass of the element is given by:

If the initial mass is 760 g and the final mass is 15 g, we have:

The time it'd take for the element to have 15 g of mass is approximately 68 min.Step-by-step explanation:

Ellen flipped a coin 80 times. the coin landed heads up 44 times and tails up 36 times. what is the theoretical probability of landing tails up? Please help me!

Answers

Answer:

36/80 chance of landing on tails, or a 45% chance .

In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 points every time she captures a crab. Which expression represents the total number of points Mona will earn if she catches xfish, y octopi, and z crabs?

95(x+y-z)

110(x+y)-15z

30x+80y-15z

30+x+80+y-15+z

Answers

Answer:

Third one

Step-by-step explanation:

30x would be 30 times the amount of fish (x)

+ 80y would be 80 times the amount of octopus captured (y)

- 15z would be subtracting 15 times the amount of crabs she captures

I need help:( plss help:(((((​

Answers

Answer: 3 is B 4 is A

Step-by-step explanation:

Raj had 12 gallon of orange juice. He used ​89 of the juice to make punch.

Raj used this expression to find the amount juice he used to make punch.

12×89

How much orange juice did Raj use to make punch?

Enter your answer as a fraction in simplest form by filling in the boxes.


⊂⊃ gal
-------
⊂⊃

Answers

Answer:

4/9

Step-by-step explanation:

Finally, I can put my answer!

Which prism has a greater volume?

Prism.

Answers

Answer:

the first prism looks like a cuboid .

therefore , volume of prism 1 = l × b × h

[tex]\bold{7 \times 2 \times 1} \\\bold{ = > 14 \: units {}^{3}} [/tex]

and ,

the second prism looks like a cuboid too

thus , volume of prism 2 = l × b × h

[tex]\bold{3 \times 3 \times 2} \\\bold{ = > 18 \: units {}^{3}} [/tex]

thus , prism 2 has a greater volume.

hope helpful ~

Answer:

is B

Step-by-step explanation:

thank me later, honey :)

Which set of side lengths form a right triangle?


8 cm, 17 cm, 14 cm

50 in., 48 in., 14 in.

3 ft, 6 ft, 5 ft

53 m, 48 m, 24 m

Answers

Answer:

50, 48, 14

Step-by-step explanation:

Go through them one by one. The side lengths of a triangle should all plug in to the formula a^2 + b^2 = c^2. The longest side is always c because it is the hypotenuse. The other two sides are interchangeable.

8^2+ 14^2 should equal 17^2.

That simplifies to

64+196=289

That can't be true because the units digits add to 10 instead of 9.

The same method applies to 3, 5, and 6 but from experience I know that this already isn't an option.

For 50, 48, and 14, you can divide everything by 2, resulting in 25, 24, and 7.

576+49 should equal 625.

That is true.

For 53, 48, and 24

576+2304 should equal 2809.

That isn't true, it equals 2880.

Which of the rectangles below have an area of 18 cm"?

A 3x6cm rectangle
B 2x9cm rectangle
c5x4cm rectangle
D9x2cm rectangle

Answers

the answer would be a, b, & and d

How to convert an equation to slope intercept form.

Answers

Step-by-step explanation: (this is an example problem)

Write the form y=mx+b (The goal is to isolate the y).(m=3)(b=4)

y =  3x+4

↑     ↑

-3x  -3x

   ∨

-3x+y=4

(sorry if this isn't a good explanation)

Please help will give brainiest

Answers

Answer:

heres your answer  hope this helps

brainliest please

Answer:

person above is right

Step-by-step explanation:

Answering this to give them brainliest

when y=3 and x= 1/2
1.4(2y-4x)-1=
2. 4x^2+2y^3-10=
3.4(x^+1)+2x+3y=

Answers

Answer:

1. 15

2. 45

3. There is a missing digit.

Step-by-step explanation:

Given:  y=3 and x= 1/2

Question 1: 4(2y-4x)-1=Numerical factors in this term have been multiplied.

4(6-4/2)-1

We can reduce this fraction by dividing both numerator and denominator by a common numeric factors.

4(6-2)-1

Numerical terms in this expression have been added.

4*4-1

Numerical factors in this term have been multiplied.

16-1

Numerical terms in this expression have been added.

15

Question 2: 4x^2+2y^3-10 =

4/2²2*27-10

4/2²+54-10

We need to perform a multiplication.The following rule is applied:[tex]\frac{A}{B} C=\frac{AC}{B}[/tex]

45: Numerical factors in this term have been multiplied.

I WILL GIVE BRAN;IEST IMAGE BELOW

Answers

Answer:

21/100 or 0.21

Step-by-step explanation:

21 8th graders have a cell phone and don't have a tablet out of 100 students.

Other Questions
Who is the editor in chief of The Washington Post?. pls explain why no pls and thank u what statement best summarizes rossevelts rebittle to the counterclaim that the udhr would force direct government action in many nationa Please answer with steps|-10k+7|------------- 3 =4 (i) differentiate between the potential energy and kinetic energy stating 2 examples based on the video Which of the following words is a synonym for the word dangers? Determine if the sequence below is arithmetic or geometric and determine thecommon difference / ratio in simplest form.3, 5, 7, ... Music House uses cubic boxes to ship out CDs. The surface area of their smallest box is 864 square centimeters. A manager decided that he needed to order more just like the other boxes. When ordering more from a new catalog company he was given the formula (Surface Area = 6s 2) to determine the side length of the cubic box he needs. Where s stands for the side length of the box. Which side length should the manager order? Help me please, I really don't want to failWhich system of equations has no solution? Pablo took his $50 gift card to thetoy store. He bought a game for$24.99. How much money does he have left on his gift card? 1. Why was federal ruling System implemented in Nepal? Give any four reasons 3. A wire of length 90 cm is cut into three pieces. The lengths of the pieces are in the ratio 3:5:7. Calculate the length of (a) the longest piece. (b) the difference between the longest and the shortest piece. 3:5:1 Wire length: 90 cm Uses of nanotechnology in the aerospace engineering field Civilizations near rivers or water source If two angles are supplementary and one of the angles measures 38, what is the measure of the larger angle? Which option describes an example of prejudice in connection to immigration to the United States?Many immigrants lived together in U.S. cities and continued their traditions in places like Little Italy.In 1882, the United States issued the Chinese Exclusion Act, which stopped all immigration from China.From 1880 to 1900, more than 20 million immigrants came to the United States from eastern, southern, and central Europe.Many immigrants worked in factories, where working conditions were dangerous and unhealthy. A pole that is 3.3m tall casts a shadow that is 1.44m long. At the same time, a nearby building casts a shadow that is 47.75m long. How tall is the building? Round your answer to the nearest meter. Who is the princess of Pop 1999?Need It Sometimes we need to create heat, such as in circuit breakers and rear windowdefoggers.Select one:O TrueO False Task: Now that you are about 50% completed with your course, I would like for you to take this time to reflect on your current grade. Your task is to:1. Review your grade by looking up your Actual Grade and Progress.2. Write a 3-4 sentence reflection piece on how you aim to continue thriving or how you will improve your grade. This must be in complete sentences in order to recieve appropriate credit. Once you have gathered your information, you will enter it below in paragraph form. Everything must be in complete sentences. Please check for any grammar and/or punctuation errors.