A right-angled triangle has an area of
45 cm².
The width of the triangle is n + 3 cm.
The height is 9 cm less than the width.
45 cm²
n + 3
Find the value of n.
n =

Answers

Answer 1

Answer:

A = 1/2 width × height

width = n + 3 cm

height = width - 9 cm

height = n + 3cm - 9cm

height = n - 6cm

A = 1/2 width × height

= 1/2 (n + 3cm) × (n - 6cm)

45cm^2 ×2 = n^2 - 3ncm - 18cm^2

n^2 - 3ncm - 18cm^2 - 90cm^2 = 0

n^2 - 3ncm - 108cm^2 = 0

Find two numbers that their sum is -3 and their product is 108. Therefore, the numbers could be -12 and 9

n^2 - 3ncm - 108cm^2 = 0

n^2 - 12ncm + 9ncm - 108cm^2 = 0

n(n - 12cm) + 9cm(n - 12cm) = 0

(n - 12cm) (n + 9cm) = 0

Either (n - 12cm) = 0 or (n + 9cm) = 0

n = 12cm or n = -9cm

but n = -9cm is invalid because there is no negative distance.

n = 12cm is the answer


Related Questions

how do u find the volume of a prisum

Answers

Answer:

V = BH

Step-by-step explanation:

Any prism volume is V = BH where B is area of base and H is height of prism, so find area of the base by B = 1/2 h(b1+b2), then multiply by the height of the prism.

Answer:

Multiply its 3 dimensions: length x width x height.

Step-by-step explanation:

Complete the general solution to y = cos-1(0.8480).

y = 328° 360° k
y = 32° 360° k
y = 148° 360° k

Answers

Answer:

y = 32 degrees

Step-by-step explanation:

can someone help me im really stuck on this and im trying to pass

Answers

Answer:

7

Step-by-step explanation:

The answer is seven

One year, the population of a city was 73,000. Several years later it was 85,410. Find the percentage decrease

Answers

The percentage decrease is 14.52% if, one year, the population of a city was 73,000. Several years later, it was 85,410.

What is the percentage?

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

The initial population = 85410

The final population = 73000

The decrease = (85410 - 73000)/85410 = 0.1452

The percentage decrease = 0.1452×100 = 14.52%

Thus, the percentage decrease is 14.52% if one year, the population of a city was 73,000. Several years later, it was 85,410.

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Manny and Susan have an egg carton full of eggs to use for their science project. Manny uses 1/3 of the eggs and Susan uses 1/2 of the eggs. Which fraction of the eggs did Manny and Susan use for their project?



A. 5/6 of the eggs


B. 2/5 of the eggs


C. 2/3 of the eggs


D. 1/5 of the eggs

Answers

This is asking you to add both fractions.
You would start with 1/2 and add 1/3.
1/2 + 1/3 = 5/6

The answer is 5/6.

which angle is vertical to 6​

Answers

Answer: Angle 3

Step-by-step explanation:

Vertical angles are the angles opposite to each other which form when two lines cross each other. In this example the opposite of angle 6 is angle 3.

Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where visitors rated the view of the symphony's soloist from their seating section. The data from the website is summarized in the table.

Section Number of reviewers who sat in the section Number of reviewers who rated the view as "perfect"
L1 90 57
L2 52 33
L3 75 47
U1 84 55
U2 43 27
U3 35 22

According to the data from the website, in which seating section should Leanne's family book the tickets if they want to maximize their chances of having a "perfect" view of the symphony's soloist?

Answers

Using proportions, it is found that Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the section with the highest proportion of perfect views should be chosen, hence:

pL1 = 57/90 = 0.633

pL2 = 33/52 = 0.635

pL3 = 47/75 = 0.623

PU1 = 55/84 = 0.655

pU2 = 27/43 = 0.628

pU3 = 22/35 = 0.629

Leanne's family should book their tickets at Section U1 to maximize their chances of having a "perfect" view.

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Answer:

answer in the picture have a nice day loves :)

Step-by-step explanation:

Write Expression from Context (mx+b)
Tyee signed up for a streaming music service that costs $6 per month. The service allows Tyee to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Tyee have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded ss songs?

Answers

Answer:

Total cost for 10 songs = 6 + [0.75 × 10]

= $13.5

Step-by-step explanation:

The perimeter of a cabinet door is 38 inches. The door is 6 inches wide. How tall is it?

Answers

Answer:

bro its 26 all together, but per side length its 13 each

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

2L + 2B = Perimeter

(2× L) +( 2×6) = 38

2L + 12 = 38

2L = 26

L = 13

Which of the following statements are true about the graph below? Select all that apply

Answers

I don’t know because it wouldn’t pop up

Here is a diagram and its corresponding equation. Find the solution to the equation. Tape diagram, 4 parts labeled x + 7, total 38. 4(x+7)=38

Answers

4(x+7)=38
The distribute multiplication property allows us to multiple the 4 by the “x” and the 4 by the 7.
This brings us to

4x +28 = 38

Now we must subtract the 28 to the 38 in order to begin getting the “x” by itself.

4x = 10

Now divide by 4 to fully get the X alone

4x/4 = 10/4

x= 10/4 = 5/2 = 2 1/2

Ask your teacher for help if you are unclear in the future! Hope this helps.

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 ∙ 4) - One-half (10 12 16) (8 ∙ 4) - (10 12 16) (8 ∙ 4) - One-half (5 6 8) (8 ∙ 4) - (5 - 6 - 8).

Answers

How does the area of triangle RST compare to the area of triangle LMN? is 2 square units less than the The area of △ RST area of △ LMN The area of △ RST is equal to the area of △ LMN The area of △ RST is 2 square units greater than the area of △ LMN The area of △ RST is 4 square units greater than the area of △ LMN.Jun 25, 2021

Answer:

Step-by-step explanation:

its D, (8 x 4)-(5-6-8)

IF YOUR GOOD AT GEOMETRY HELPP ME PLEASEE!!

Answers

Answer:

3, 4 and 5

Step-by-step explanation:

Finding BC :

√AB² + AC²√6² + 8²√36 + 64√10010

Now if the triangles are similar their sides in the same proportion. And as you can tell they are slightly smaller. Hence, to find the sides, divide the given sides by 2.

3, 4 and 5

You pick a card at random. Without putting the first card back, you pick a second card at random.

3
4
5


What is the probability of picking a 5 and then picking a number greater than 4?

Write your answer as a percentage.

Answers

Answer:

1/6 or 16

Step-by-step explanation:

I hope this is the correct answer

9 in
11 in
5 ft
19 in
12 in
Surface
Surface Area =
9)
3)
I need the surface area some please help

Answers

Answer:

730 in cubed

Step-by-step explanation:

hope this helps

have a good day

please answer!!!!!! will mark brainliest

Answers

Answer:

The answer is 2/5 or 5.25

Step-by-step explanation:

5 sections so out of 5 and it said A or B so it is 2/5

Write an expression for the sequence of
10 increased by the sum of 9 and n

Answers

Answer:

10 + (9 + n) = ?

Mr frank bought 6 pounds of grapes and 3 pounds of apples in the store. he paid $28.20 for the whole purchase. his neighbor mrs. bland pain $16.90 for 2 pounds of grapes and 4 pounds of apples. if all of the apples in the store cost the same and all grapes cost the same, what is the price of one pound of grapes?

Answers

The price of one pound of grapes and one pounds of apples in the store is $3.45 and $2.5 respectively.

Simultaneous equation

let

x = price of grapesy = price of apples

6x + 3y = 28.20

2x + 4y = 16.90

multiply equation (2) by 3

6x + 3y = 28.20

6x + 12y = 50.70

subtract the equation

9y = 22.50

y = 22.50/9

y = $2.5

substitute y into (2) in

2x + 4y = 16.90

2x + 4(2.5) = 16.90

2x + 10 = 16.90

2x = 16.90 - 10

2x = 6.90

x = 6.90/2

x = $3.45

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Expand 2x(3 - x)

Can anyone give a step by step of this

Answers

Answer:

= 6x - 2[tex]x^{2}[/tex]

Step-by-step explanation:

2x(3 - x)

= 6x - 2[tex]x^{2}[/tex]

[tex]\large\textit{Expand 2x(3-x)}[/tex]

                                                                                                                           

How will we expand this expression? Is there a property in mathematics that we can use to expand this?

The answer is "Yes". There is indeed a property that we can use, and it's called "The distributive property".

[tex]\ast[/tex] As the name implies, we distribute a number, variable, or a combination of the two.

We distribute by multiplying this number or variable or whatever we need to distribute by the expression inside the parentheses, as follows :

[tex]\tt{2x\:times\:3\:and\:-x}[/tex]

which results in

[tex]\tt{6x-2x^2}[/tex]

hope it's helpful!wishing you a great day!

[tex]\mathbb{LUSCIOUS\:SNACKS}-Greetings\:![/tex]

--

An environmentalist measures the concentration of pollutants in a number of ponds in a region. She estimates the numbers of a
species of frog in each case, and finds a negative correlation between the pollutant concentration and the number of frogs per
unit area
Which statement BEST describes why the investigation is an observational study?
03-))
A)
There is only one independent variable in the study
B)
The researcher does not set the values of the independent variable.
It is not possible to set the concentration of pollutants in a sample of
water
D)
The researcher estimates the numbers of frogs, instead of counting them
directly
Collect Data
(MSRC Study Design And Scope

Answers

Answer:

Its B)

Step-by-step explanation:

I took it hopes this help

HELP ME WITH THIS NOW PLEASE

Answers

Answer:

B. 0.4

Step-by-step explanation:

area of circle is [tex]\pi r^{2}[/tex]

[tex]\pi 3^{2} =28.27[/tex]

area of triangle is bh[tex]\frac{1}{2}[/tex]

(14)(10)(1/2)=70

[tex]\frac{28.27}{70}[/tex]=0.403857

write the product using exponents

Answers

The product of the expression [tex]6*6*6*6*6[/tex]  is [tex]6^{5}[/tex] or 7776.

What are exponents and powers?

Power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.

Given expression is : [tex]6*6*6*6*6[/tex]

= [tex]6^{5}[/tex]       [a*a*a*a*a=[tex]a^{5}[/tex]]

= 7776

Hence, [tex]6*6*6*6*6[/tex]  = [tex]6^{5}[/tex] or 7776

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A crowd of 24,000 supporters go to watch a
football match.
One third of them have a cup of one third tea at half time, but
only one in five have a cup of coffee. The remainder
have hot chocolate.

What fraction of fans has hot chocolate?

Answers

1/3 of 24000 = 8000
8000+5 = 8005
24000-8005= 15995

15995/24000

i also don't understand this one

Answers

Answer:

D 280

Step-by-step explanation:




A toy airplane costs 4.84. it costs as much as toy car. what is the cost of the car?

Answers

Answer:

4.84$

Step-by-step explanation:

if it cost the same it gives you the awnser 4.84.

Toy airplane = toy car
Toy airplane = 4.84
Toy car =4.84

Answer is the toy car costs 4.84

Triangle A'B'C' is a dilation of triangle ABC.
What is the scale factor?
Enter your answer in the box. ​

Answers

Answer:

Scale Factor : 2
2 times

Step-by-step explanation:

18/ 9 = 2
9/ 4.5 = 2
9/ 4.5 = 2

Which expression is equivalent to 4(2.1+3.1)-2(1.4)?

Answers

Answer:

We need to just focus on first adding up the two numbers inside of the first parenthesis to see if we get our answer.

[tex]4(2.1 + 3.1) - 2(1.4)[/tex]

[tex]4(5.2) - 2(1.4)[/tex]

This proves that option B is a solution and since we can only choose one option that means that we have our answer.

Hope this helps!  Let me know if you have any questions

Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units. To verify that the transformation is a dilation, Jeremy should also check which of the following? Select three options.

1. QB = 1/2QE
2.QC = CF
3. DE = 2AB
4. AC = 1/2EF
5. if BC = 2.25, then EF = 2.25

Answers

Based on the information given regarding the triangle, to verify that the transformation is a dilation, the things that should be checked include:

QB = One-halfQEQC = CFDE = 2AB

Solving the traingle.

From the information given, it was stated that Jeremy wants to verify that the transformation shown is a dilation and that he finds the lengths of segments QA and AD to be 4 units.

Therefore, to verify that the transformation is a dilation, Jeremy should also check QB = One-halfQE; QC = CF; and DE = 2AB.

Learn more about triangles on:

https://brainly.com/question/2644832

a 10 gallinas,un costal de alimentos les dura 30 dias .¿cuanto dias les durara el mismo costal de alimentos a un grupo de 15 gallinas y a otro de 25 gallinas?

Answers

Usando proporciones, hay que el mesmo costal dura 20 dias a un grupo de 15 gallinas y 12 dias a un grupo de 25 gallinas.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total, e puede ser encontrada aplicando una regla de três.

a 10 gallinas,un costal de alimentos les dura 30 dias. ¿cuanto dias les durara el mismo costal de alimentos a un grupo de 15 gallinas? La regla de três es dada por:

10 gallinas - 30 dias

15 gallinas - x dias

Las medidas son inversamente proporcionales, por eso, aplica-se multiplicación de linea:

15x = 300

x = 20

Para 25 gallinas:

10 gallinas - 30 dias

25 gallinas - x dias

25x = 300

x = 12

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Eli's bedroom door is 9 feet tall and 3 feet wide. A new door is 2. 00 per square foot. How much would a new bedroom door cost in total

Answers

Answer: 54.00

Step-by-step explanation:

Door is 9 × 3= 27ft²

1ft² = 2.00

27ft²= 54.00

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