the diagram shows a right-angle triangle.

The Diagram Shows A Right-angle Triangle.

Answers

Answer 1

Answer:

Step-by-step explanation

Answer 2

The shortest length of the right-angled triangle is 4 cm.

What is a right-angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.

Given is, the diagram shows a right-angle triangle.

We have area of the right-angle triangle = 18 cm²

We know that area of a right-angle triangle = 1/2(base)(height)

18 =  1/2(x - 1)(x + 4)

36 = (x - 1)(x + 4)

x² + 4x - x - 4 = 36

x² + 3x - 4 = 36

x² + 3x - 4 - 36 = 0

x² + 3x - 40 = 0

x² - 5x + 8x - 40 = 0

x(x - 5) + 8(x - 5) = 0

x + 8)(x - 5) = 0

x = -8 or 5

we can only use positive numbers because length can't be negative,

Thus, x = 5

The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.

Therefore,

height = x - 1 = 5 - 1 = 4 cm

base = x + 4 = 5 + 4 = 9 cm

Hence, the shortest length of the right-angled triangle is 4 cm.

learn more on right-angled triangle here:

brainly.com/question/2292567

#SPJ2


Related Questions

An arithmetic sequence is given below.
17, 22, 27, 32,
Write an explicit formula for the n
th
term an
a
n
0 0
Х
?

Answers

Answer:

n5 + 17

Step-by-step explanation:

They're asking for a pattern.

17 + 5 = 22

22 + 5 = 27

27 + 5 = 32

So it starts at 17 and increases by five each time.

The nth term increases by 5 each time and starts at 17. That means the nth term is multiplied by 5 each time, but you have to add 17 because that's where the pattern starts.

n5 + 17

the diagram shows a circle inside a square ABCDB AB = 20 cm. the radius of the circle is 9 cm. work out the area of the shaded region

Answers

Step-by-step explanation:

Area of the square = a²

= 20²

= 400cm²

Area of the circle = πr²

= 22/7 × 9²

= 22/7 × 81

= 254.57cm²

Area of the shaded region = Area of the square - Area of the circle

= 400cm² - 254.57cm²

= 145.43cm²

-8y=-800
what is y?
Plz with the explanation...

Answers

Answer:

-100

Step-by-step explanation:

8*-100=-800

Answer: 100
To solve, you can divide both sides of the equation by -8. That leaves you with y=100

need help please due soon!

Answers

143 because you multiply by the scale factor of 13

PLEASE help find measure of angle - TEst review today

Answers

Answer:

both measured would be 25 and 19

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

if x equals 4 then 21x+4 equals 88 and 23x-4 equals 88 too.

30% of what number is 3?

Answers

Answer:

10

Step-by-step explanation:

To find the number, divide 3 by 0.3

3/0.3

= 10

So, 30% of 10 is 3.

The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction​

Answers

Answer:

please correct your question

Select all that apply.
40 is what percent of 25. Hint: There are 2 correct answers.
А160%
B 62.5%
C 1600%
D625/1000
E 160/100
F1600/100

Answers

Answer:

B and D

Step-by-step explanation:

Hope this helps :3

if it did pls mark brainliest

Answer:

A & E

Step-by-step explanation:

First, multiply 40 by 100, giving you 4000. You then divide 4000 by 25, where you will get a quotient of 160. Now, this can be represented as 160% or 160/100 because a percentage is always out of 100.

Which rational number equals 0.7 ? 1 10 Flo 11​

Answers

Answer:

0.7 is a rational number... but 7/10

Step-by-step explanation:

Hope I helped!

Answer: This absolutely makes no sense  

Step-by-step explanation:

2+10= 12

True or False??

Just for points:)

Answers

Answer:

True thank you for the points

Answer:

true

Step-by-step explanation:

2+10=12

true. do i get the points?

1. What is the probability of an odd outcome?

2. What is the probability of an outcome less than 6?

Answers

Answer:

1. 50%

2.[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.

2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.

P = N / NP

Dice has 6 faces. I.E. 1,2,3,4,5,6

= 6

NP, therefore, is the total number of possible outcome.

Faces less than 6. (1,2,4, and 5)

N = 5

P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.

Find the third side in simplest radical form:
1&3

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

[tex]1^{2} + 3^{2} =x^{2} \\1+9=x^{2} \\10=x^{2} \\\sqrt{10} =x\\[/tex]

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

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

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?

Answers

an hour is 60 minutes so we would do 60x11 which equals 660 then divide by 3 which is 220 so 220 minutes is your answer

Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school for Chess Club. How many students attend on Wednesday’s?

Answers

Answer:

96 students attend chess club after school on Wednesday's.

Step-by-step explanation:

To solve this problem, simply multiply 800 x 0.12.

    800 x 0.12 = 96

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!

Answer:

[tex]\huge\boxed{\text{96 students}}[/tex]

Step-by-step explanation:

In order to find how many students stay back for Chess Club, we want to find 12% of 800.

To do this, we can set up a percentage proportion.

[tex]\frac{12}{100} = \frac{x}{800}[/tex]

We can now solve for x by cross multiplying.

[tex]800 \cdot 12 = 9600\\9600 \div 100 = 96[/tex]

So, 96 students attend Chess Club on Wednesdays.

Hope this helped!

Make & the subject of the
Formula
6x ta=5(x+t)

What is the answer please

Answers

Answer is x = 5t-a

6x+a = 5(x+t) Expand the bracket
6x+a = 5x+5t Subtract the least x’s (so 5x)
x+a = 5t Subtract a to make x the subject
x = 5t-a

Answer:

x  = 5t - a

Step-by-step explanation:

The problem deals with making a variable the subject of the formula in the expression.

 Given expression:

            6x + a = 5(x + t)

  We are to make x the subject of the formula in the expression

   

Solution:

           6x + a  = 5(x+t)

On the right hand side, expand the parentheses and distribute the term outside;

          6x + a  = 5x + 5t

   Bring the term desired to be the subject to one side by adding (-5x) to both sides;

     6x + (-5x) + a = 5x + (-5x) + 5t

           x + a  = 5t

  Now add (-a) to both sides

         x + a + (-a) = 5t + (-a)

          x  = 5t - a

HELP:( I know I’m slow and all asking all these question today but...

Answers

Second answer

Step-by-step explanation:

HURRRRY!!!! Thank you

Answers

Answer:

C

Step-by-step explanation:

Uhm I tried my best im so sorry if it's wrong

it is B yep he was right have a nice day

I don't know how to solve this question.​

Answers

Answer:

P=Q=R

Step-by-step explanation:

Mark me as brainliest

Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?

Answers

Answer:

She got an equally good deal both times

Step-by-step explanation:

[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

they are the same

Find the measures of the exterior angles of the polygon.

Answers

Step-by-step explanation:

180 - 34 = 146

one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124

divide that by two to get the measures of the remaining two angles (62 degrees)

180 - 62 = x

118 = x

:

/ = .

-- :

, . , - , ,

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *

Answers

Answer:

(7, - 1)

Step-by-step explanation:

[tex]x = y + 8.....(1) \\ \\ x = 5y + 12....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 5y + 12 = y + 8 \\ \\ 5y - y = 8 - 12 \\ \\ 4y = - 4 \\ \\ y = \frac{ - 4}{4} \\ \\ y = - 1 \\ \\ plug \: y = - 1 \: in \: equation \: (1) \\ \\ x = - 1 + 8 \\ \\ x = 7 \\ \\ (x, \: y) = (7, \: - 1)[/tex]

Answer:

(7, - 1)

Step-by-step explanation:

Solve the right triangle

Answers

Answer:

JK = 50; IJ = 25√3

Step-by-step explanation:

HAVE: sin ∠J = sin 30° = [tex]\frac{IK}{JK}[/tex]

=> [tex]\frac{IK}{JK}=\frac{25}{JK}=\frac{1}{2}=> JK = 25.2 = 50[/tex]

cos ∠J = cos 30° = [tex]\frac{IJ}{JK}[/tex]

=> [tex]\frac{IJ}{JK}=\frac{IJ}{50}=\frac{\sqrt{3} }{2} => IJ = \frac{\sqrt{3} }{2}.50=25\sqrt{3}[/tex]

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

Let x = the number of packages of pasta and y = the number of jars of pasta sauce.

One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry?

How many packages of pasta?

How many jars of pasta sauce?

Explain your reasoning.

Answers

Answer:

8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total

Step-by-step explanation:

8 pack of pasta is 8$ and 8lbs

8 jars of sauce is 24$ and 12lbs

8 plus 12 is 20 which is the max of lbs Tyler can carry.

Brandon used 1 2
3 kg of plant food on his strawberry plants and used 1
4
kg for his tomato plants.
He wants to feed his strawberry plants 2 more times and his tomato plants one more time.
How much plant food will he need?

Answers

Answer:

[tex]5\dfrac{1}{2}\ \text{kg}[/tex]

Step-by-step explanation:

Plant food used on strawberry plants is

[tex]1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}[/tex]

Plant food used on tomato plants is

[tex]\dfrac{1}{4}\ \text{kg}[/tex]

Feeding the strawberry plants two times means

[tex]\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}[/tex]

Feeding the tomato plants one more time means

[tex]\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}[/tex]

The plant food he will need is [tex]5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}[/tex]

PLEASE HELP ME AND EXPLAIN.

Answers

Answer:

9*8=72 which would be more than enough to cover the wall

find the x and y intercept
y=5x-13

Answers

Answer:

X int = 13/5    Y int= -13

Step-by-step explanation:

Find 0.038 as a fraction in its lowest terms

Answers

Answer:

19 / 500

Pls mark as brainliest!!!

Answer:

19/5

Step-by-step explanation:

If you're using a scientific calculator you will be able to find this answer by just simply pressing 0.038 x 100 divided by 1

Find the zero of the function.
f(x) = 4x2 – 12x + 9

The zero of the function is x=

Answers

Answer:

x= 3/2

Step-by-step explanation:

I apologize if it is wrong!

A student wrote four statements during math class. Which statement contains an error?

Answers

Answer:

C

Step-by-step explanation:

The answer is C if you multiply (a)38×18=684

(b)46×16=736 (c)54×14=756 the question is 766 miles meaning that c is the wrong answer .i hope this was helpful.

Other Questions
In an aqueous solution, a 0.100 M solution of glucose is prepared with a total volume of 0.150 Liters. If the molar mass of glucose is 180.16 g/mol how many grams must the solution contain? Match the term to the correct definition. (20 points)Column A1.Book of Durrow:Book of Durrow2.First style of Roman painting:First style of Roman painting3.diptych:diptych4.apse:apse5.madrassa:madrassa6.concrete:concrete7.goat:goat8.synagogue:synagogue9.San Vitale:San Vitale10.minbar:minbarColumn Ba.the earliest example of a Hiberno-Saxon manuscriptb.an object consisting of two doors hinged together, like a bookc.place of studyd.stepped pulpite.a Jewish place of congregation, instruction, and worshipf.structure containing the portraits of Justinian and Theodorag.a semicircular element that represents the focus of worship in the sanctuary of a churchh.a symbol for evil in Early Christian arti.walls painted to mimic marblej.a Roman invention whats the slope of (-1,4) and (-2,5) Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete 5. (3.02) A main goal of the United States during the Spanish-American War was to ...annex Florida.O gain spheres of influence in South America.O protect business investments in Spain.free Cuba from Spanish rule. Please answer this correctly without making mistakes help me with this homework Hydrofluoric acid (HF) can be prepared according to the following equation: CaF2 + H2SO4 2 HF + CaSO4.How many grams of HF can be prepared from 75.0 g of H2SO4 and 63.0 g of CaF2?In the above problem, which reactant is limiting and which is in excess? pleas help i will give a brainlyest and 5 starsThe Articles of Confederation included strengths and weaknesses. Choose 3reasons that some of the nations founders would have considered it a weakdocument.A. power held by the individual statesB. no executive branch/presidentC. no court system/judicial branchD. power held only by the federal governmentE. included 5 branches of government According to Source 1, what was a major principle of the Virginia plan?A. A unicameral legislatureB. A bicameral legislatureC. A unicameral executive branchD. A bicameral executive branch How did the Great Compromise compare to the Articles of Confederation?A. The resolution, known as the Great Compromise gave more power to thefederal government.B. The resolution, known as the Great Compromise gave more power to thestate governments.C. The resolution, known as the Great Compromise gave more power to thecitizens of the United States.D. The resolution, known as the Great Compromise gave more power to the Kingof Great Britain Who did the Virginia Plan represent?A. the larger statesB. the smaller statesC. the 13 coloniesD. territories of the US According to Source 3, what would best describe a major downfall of theArticles of Confederation?A. There was a president, head of the executive branch.B. There was a judicial branch, with a chief justice.C. There was no standing army to protect the country.D. There was no system for voting. What does Source 4 say about the attitudes of the Senate about the GreatCompromise?A. Everyone agreed about the Great Compromise.B. Everyone agreed about the principles of the Virginia Plan.C. Everyone agreed about the principles of the New Jersey Plan.D. There were very mixed feelings regarding the Great Compromise. Based on the sources and your knowledge of social studies, why was theConstitution written and how did conflicting viewpoints influence thedevelopment of U.S. government?As you write, follow the directions below.* Address all parts of the prompt.* Include information and examples from your own knowledge of social studies.* Use evidence from the sources to support your response. James was able to correctly 11 major highways, 4 mountains, 86 major cities, and 9 bodies of water on a map. How many places on the map did James identify? Explain how you can use compatible numbers to help calculate the sum. why might the immigration agents be interested in who paid for an immigrants passage an how much money the immigrant had? !!!!!URGENT!!!!!!!!From cells to major organ systems, the architecture of the body and the functions the body can perform are very closely related. Can you identify body cells, tissues, organs, systems that demonstrate this relationship and discuss its significance? In sentence 10 (reproduced below), which of the following claims best sets up the development of the writer's line ofreasoning in the third paragraph?Experiencing art doesn't just highlight existing connections; it actively forges new ones.A(as it is now)Bit is best experienced firsthandc) in many cases it is produced collaborativelyDsometimes it can be isolatingEit provides some people with a livelihood You have to print this out and do different ones like shading and textures I am learning value and I have no time for this Does the equation: -x + 6y = -7 represent direct variation? Select the correct answer.Identify the end behavior and the zeros of function h.h(x) = 13 9x2 + 41 +96Based on these key features, which statement is true about the graph representing function h?A. The graph is negative on the intervals (-00, -8) and (-4, 3).B. The graph is positive on the intervals (-8, 4) and (3, 0).C. The graph is positive on the intervals (-0, 8)and (-4, 3).D. The graph is negative on the intervals (-3, 4) and (8,00). Muslims must pray five times a day facing ________.AeastBMedinaCMeccaDthe nearest mosque PLS HELP DUE TODAY!!!i need answer and explanation pls I WILL GIVE BRANLIEST TO BEST ANSWER!!!!!!!!!! Which is equivalent to 5+2(3x-4)=12x-11? C. 9x=17 B. 6x=8 D. 9x=-39 Humans have found that we can eat the space cow, and it's delicious! There are no laws currently in place protecting the environment of Planet Z. What would happen to the populations of both the Space Cows and the Vaderians if humans began to hunt for Space Cows on Planet Z?Will it increase or decrease and why?