If the sides of a triangle are in the ratio 5 is to 4 is to 3 and its area is 54 CM square find perimeter ​

Answers

Answer 1

Answer:

Perimeter = 36 cm

Step-by-step explanation:

Ratio of sides = 5:4:3

Sides are:

a =  5x ; b= 4x ; c =  3x

Semi perimeter  S = (a + b+ c )/2 = (5x + 4x +3x)/2 = 12x /2  = 6x

S - a = 6x - 5x = x

S - b = 6x - 4x = 2x

S - c = 6x - 3x = 3x

[tex]Area=\sqrt{S*(S-a)*(S-b)*(S-c)}\\\\\sqrt{6x*x*2x*3x}=54\\\\\sqrt{36x^{4}}=54\\\\6x^{2}=54\\\\x^{2}=\frac{54}{6}\\\\x^{2}=9\\\\x=\sqrt{9}\\\\ x=3\\[/tex]

sides of triangle:

a = 5x = 5*3 = 15 cm

b = 4x = 4*3 = 12 cm

c = 3x = 3*3 = 9 cm

Perimeter =  15 + 12 + 9 = 36 cm


Related Questions

3. The measure of each inscribed
angle is equal to( )times the
measure of the intercepted arc.
a. 1/2
b. 1
c. 2

Answers

Answer: A. 1/2

Step-by-step explanation:

What is
15,379 times 51





Answers

Answer:

784329

Step-by-step explanation:

the answer is : 784329

rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________
in2.

Answers

Answer:

Step-by-step explanation:

look, area = length x width

so that means that the area of this rectangle is

= 11 1/2 * 8

= 23/2 * 8

= 23 * 4 (simplified)

= 92 in^2

Answer:

[tex]92in.^{2}[/tex]

Step-by-step explanation:

Area of a rectangle= L×W

If length= 11[tex]\frac{1}{2}[/tex]in. and width= 8in.,

∴ Area = 11[tex]\frac{1}{2}[/tex]in. × 8in.

           = [tex]\frac{23}{2}[/tex] × [tex]\frac{8}{1}[/tex] [tex]in.^{2}[/tex]

           = (23 × 4) [tex]in.^{2}[/tex]

           = 92[tex]in.^{2}[/tex]

Hope this helps!!!

 

a rectangle has a width that is 7 centimeters less than its length, and it’s area is 330 square centimeters. what are the dimensions of the rectangle?

Answers

Answer:

The dimensions of the rectangle are 22cm of length and 15cm of width

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of ​​a rectangle

a = area = 330 cm²

L = length  =

w = width = L - 7cm

a = l * w

we replace with the known values

330 cm² = L * (l - 7cm)

330 cm² = L² - 7Lcm

0 = L² - 7Lcm - 330 cm²

when we have an equation like this we can use bhaskara

a = 1

b = -7Lcm

c = -330cm²

ax² + bx + c = 0

x = -b(±)√(b² - 4ac)/2a

we replace with the known values

L = -(-7cm)(±)√(7² - 4(1)(-330cm²)) / 2(1)

L = 7cm(±)√(49 + 1320cm²)) / 2

L = 7cm(±)√(1369cm²)) / 2

L1 = (7cm + 37cm) / 2

L1 = 44cm / 2 = 22cm

L2 = (7cm - 37cm) / 2

L2 = -30cm / 2 = -15cm

The positive represents the unknown with which we work (L) and the negative with which we do not work (W)

The dimensions of the rectangle are 22cm of length and 15cm of width

An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet what is the volume of the tank

Answers

Answer:

15707.96

Step-by-step explanation:

Answer:

5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Step-by-step explanation:

V = (pi)r^2h

r = radius = diameter/2

r = 20 ft/2 = 10 ft

V = (pi)(10 ft)^2(50 ft)

V = 5000(pi) ft^3

V = 5000(3.14159) ft^3 = 15,708 ft^3

Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Which graph represents Y=2/5x+2

Answers

the graph should look like this

Answer:

Your graph will have a y intercept of (0,2) and from that point move up 2 and to the right 5 to the point (5,4) then draw a line connecting and extending beyond these two points.

Step-by-step explanation:

y = mx + b

m = slope which is rise over run

b = y intercept

y = 2/5x + 2

m = 2/5

b = 2

This means that your graph will have a y intercept of (0,2) and from that point move up 2 and to the right 5 to the point (5,4) then draw a line connecting and extending beyond these two points.

halp me do this pleeeeeasssseee​

Answers

Answer:

Step-by-step explanation:

The question isn't clear...

3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
the hypotenuse to the nearest whole number​

Answers

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)

Phoebe built the sandbox below for her younger sister.
2 feet
4 feet
5 feet
What is the volume of the sandbox?

Answers

I think its 40ft i hope it helps

Answer: 40 feet

Step-by-step explanation:  Volume = length * width * height

then substitute Volume = 2 * 4 * 5

multiply Volume = 8 * 5

multiply again Volume = 40

hope this helps mark me brainliest if it did have a great day

The height of a trapezoid is 4 in. And its area is 48 in 2. One base of a trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Complete the explanation of how you found your answer.

Answers

Answer:

a=9

b=15

Step-by-step explanation:

Well the area formula of a trapezoid is: [tex]\frac{a+b}{2} *h[/tex]

[tex]\frac{a+b}{2} *4=48[/tex]

Divide both sides by 4

[tex]\frac{a+b}{2} =12[/tex]

Multiply both sides by 2

a+b=24

Now since one of the sides (b) is 6 inches longer than a, we get;

a+a+6=24

Subtract 6 from both sides

2a=18

Divide both sides by 2

a=9

b=9+6=15

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

88 inches

Step-by-step explanation:

The given bicycle has a tyre that is 28 inches in diameter.

How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.

This is calculated using the formula:

C =\pi \: d

We substitute the diameter and

\pi =  \frac{22}{7}

C =  \frac{22}{7}  \times 28

This simplifies to

C =22 \times 4

88 \: inches

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C.

hope you do good on quiz! :D

Currency on hand = 2,000 Swiss francs Currency desired = Dutch guilders (Holland) How many guilders based on Wednesday rate? (Hint: Convert 2,000 Swiss francs to United States dollars. Then convert United States dollars into guilders.)

Answers

Answer:

4175.40384   Dutch guilders

Step-by-step explanation:

The main objective here is to convert the currency at hand (2,000 swiss francs) to Dutch guilders. In order to achieve that ; we need first require to convert the currency at hand into United states dollars

So ; if 1 swiss francs  =  1.0328 united states dollars  (as at Wednesday)

Then 2000 swiss francs  will be = 2000  ×  1.0328 united states dollars  = 2065.6 united states dollars

SO; if  1 united states dollars = 2.0214 Dutch guilders ( as at Wednesday)

Then 2065.6 united states dollars will be = 2065.6 × 2.0214

= 4175.40384   Dutch guilders

Answer:

closest would be 3,500

Step-by-step explanation:

hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points

Answers

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

Which is the best estimate for the liquid volume of a small carton of milk?

Answers

Answer:

Step-by-step explanation:

What is the volume of this sphere?

Use ≈ 3.14 and round your answer to the nearest hundredth.

with a diameter of 10m

Answers

Answer:

523.59 or 523.60

Step-by-step explanation:

Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)

(r is radius, V is volume)

V= 4/3 x π x r^3

The diameter is 10, so the radius is 5...

V= 4/3 x π x 5^3

V= 4/3 x π x 125

CALCULATER: 4 ÷ 3 x π x 125

Answer 523.59  (523.60 rounded)

What is the axis of symmetry for the function f(x)=7-4x+x2?
X=-3
x = -2
x = 2
x= 3

Answers

Answer:

x = 2

Step-by-step explanation:

C on edg 2020

The axis of symmetry of f(x) = 7-4x + x^2 is x = 2

How to determine the axis of symmetry?

We have:

f(x) = 7-4x + x^2

Differentiate the function

f'(x) = -4 + 2x

Set the function to 0

-4 + 2x = 0

Add 4 to both sides

2x = 4

Divide by 2

x = 2

Hence, the axis of symmetry of f(x) = 7-4x + x^2 is x = 2

Read more about axis of symmetry at:

https://brainly.com/question/15709421

#SPJ9

How would you find the area of this?

Answers

the formula for it is bh , multiply 14 by 24 and the answer is 336

Solve for x in the following figure.

Answers

Answer:

x=80°

Step-by-step explanation:

supplementary angles equal 180°

∠J=80

80+x+20=180

100+x=180

x=80

Help meeee!!! Whats x

Answers

Answer:

74°

Step-by-step explanation:

The angle on a line = 180°

therefore:.

x + 106° = 180°

x = 180° - 106°

x = 74°

Answer: 74 degrees.

Step-by-step explanation:

Angles on the same side of a line add to 180.

The angle measure of 106 and the angle measure of x lie on the same side of the line WZ, so you can add them both to get 180:

106 + x = 180

x = 74

The ratio of men to women is 5 to 8. If there are 286 employees total how many women work for the company ??
Please answer

Answers

Answer:

There are 176 women in the company.

Step-by-step explanation:

Let number of men are 5x and number of women are 8x.

Total number of employees in the company are 286.

But according to given condition, total no of employees are :

[tex]5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22[/tex]

Total no of women are 8x. It means [tex]22\times 8=176[/tex]. Hence, there are 176 women in the company.

How many solutions does this equation have?

–8 + t = –t + 10

Answers

Answer:

One

Step-by-step explanation:

Since (1) is the highest exponent value, there can only be one solution.

IF t^2 then there would be two answers.

Answer:

One solution

Step-by-step explanation:

To find the amount of solutions, you must solve first:

-8 + t = -t + 10

First, add t to both sides:

-8 + 2t = 10

Add 8 to both sides:

2t = 18

Divide both sides by 2:

t = 9

Since there has been a solution to this equation, that means there's only one solution.

Samuel has a bell box that contains
4 door bells, 3 office bells, and 7 big
bells. Without looking, Samuel
Chooses a bell from the box, what is the
relative frequency probability the
when he selects a doorbell?



Answers

Answer:

4 out of 14

Step-by-step explanation:

there is only 4 door bells and 14 bells in total

Simplify over the set of complex numbers sqrt(- 1)

Answers

Answer: i

Step-by-step explanation:

[tex]\sqrt{-1} =i[/tex]

which quadrilateral always has diagonals that are congruent but not necessarily perpendicular?

a) parallelogram
b) rectangle
c) rhombus
d) square

Answers

Answer:its a rectangle

Step-by-step explanation:

What is the probability of the complement of rolling a number less than 5 by using a six-sided die? StartFraction 1 over 6 EndFraction One-third Two-fifths Two-thirds

Answers

Answer:

1/3 = 0.3333 = 33.33%

Step-by-step explanation:

In the six-sided die we have 6 possible values, from 1 to 6.

To roll a number less than 5, the options are: 1, 2, 3 or 4.

We have 4 options, so the probability is P = 4/6 = 2/3

To find the complement of this probability, we just need to calculate 1 minus the probability, so we have that:

complement = 1 - P = 1 - (2/3) = 1/3 = 0.3333 = 33.33%

(We could also find the probability of rolling 5 or 6, which is the complement of rolling less than 5)

Answer:

1/3

Step-by-step explanation:

I took the test

Language arts test is worth 100 points there is a total of 26 question There are spelling words question that I wasn't points each in vocabulary words question worth five points each how much of each type of question are there

Answers

Answer: There are 10 two points and 16 five points questions.

Step-by-step explanation:

This is the detailed question:

A language arts test is worth 100 points. There are a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question is there?

Let y = the number of 2 points questions

Let z = the number of 5 points questions

y + z = 26 ......... i

2y + 5z = 100 ........ ii

Multiply equation i by 2

Multiply equation ii by 1

2y + 2z = 52 ......... iii

2y + 5z = 100 ....... iv

Subtract iv from iii

-3z = -48

z = 48/3

z = 16

Since y + z = 26

y = 26 - 16

y = 10

y = 10 two points questions

z = 16 five points questions

There are 10 two points and 16 five points questions.

A cylindrical bucket and spherical storage container are shown. The bucket has a radius of 6 inches and a height of 15 inches, and the storage container has a diameter of 24 inches. Nicholas says he can fill the entire storage container with seef by filling the bucket four times and pouring the contents into the container. Is Nicholas correct? Explain why or why not.

Answers

Answer:

since the ratio of both volumes is approximately 4, then we can say Nicholas is correct

Step-by-step explanation:

Firstly, what we need to do is to calculate the volume of both.

For the cylindrical bucket, the volume can be calculated as

pi * r^2 * h

where r is 6 inches and h is 15 inches

The volume is thus

pi * 6^2 * 15 = 540pi inches*3

For the spherical storage, the volume can be calculated using the formula

V = 4/3 * pi * r^3

with r = d/2 = 24/2 = 12 inches

The volume is thus;

V = 4/3 * pi * 12^3 = 2,304 pi inches^3

Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.

Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times

A sphere with a radius of 11 in

Answers

Answer:

-The volume of a sphere:

[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]

     or

[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)

Step-by-step explanation:

-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:

[tex]V = \frac{4}{3} \pi r^3[/tex]

[tex]V = \frac{4}{3} \pi 11^3[/tex]

-Then, you solve the formula:

[tex]V = \frac{4}{3} \pi 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]

[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]

[tex]V = \frac{4}{3} \pi \times 1331[/tex]

[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]

-Round up to the nearest hundredth (if needed):

[tex]V \approx 5575.28[/tex]

To hi a ball over a tree, a golfer hits the ball with a path that is modeled by h = -16t^2 + 80t where h is the height in meters and t is the time in seconds. Determine the hight of the ball after 1 second, the time it takes the ball to reach its maximum height, the maximum height of the ball, and the time it takes for the ball to return to the ground.

Answers

Answer:

After one second, the height is 64 meters high

Step-by-step explanation:

The rest.... Let's wait to find out... Haha tried to find the answer for 10 minutes straight but it's kinda hard since it might equal decimals

Other Questions
If you wanted to learn more about how oil and natural gas resources are regulated, which Texas state agencys website would you visit?a.The Environmental Protection Agencyb.The State Soil and Water Conservation Boardc.The Texas Air Control Boardd.The Texas Railroad Commission 0.5(-14+12.6)9.32+(-7.92) use the figure to help you explain the statementThe base(b) of a triangle is ----------inchesThe height (h) of the triangle is--------inchesThe area of a triangle is ------- Square inches The area of the rectangle is ------ Square centimetershelp fassstttt Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for oneyear.The interest on the loan isThe APR on this loan is What is the GCF of 45 and 72? Read the excerpts from Take the Tortillas Out of Your Poetry and Speaking Arabic.My friend had concluded that if he took his language and culture out of his poetry, he stood a better chance of receiving a fellowship. He took out his native language, the poetic patois of our reality, the rich mixture of Spanish, English, pachuco and street talk which we know so well. In other words, he took the tortillas out of his poetry, which is to say he took the soul out of his poetry.At a neighborhood fair in Texas, somewhere between the German Oom-pah Sausage Stand and the Mexican Gorditas booth, I overheard a young man say to his friend, I wish I had a heritage. Sometimes I feelso lonely for one. And the tall American trees were dangling their thick branches right down over his head.Which best states how the structure of each excerpt supports a different tone?A) - Anaya structures his text as an anecdote, which gives it a humorous tone, while Nye structures her text as a counterclaim, which gives it a defensive tone.B) - Anaya structures his text as an explanation, which gives it an authoritative tone, while Nye structures her text as an impression, which gives it a soothing tone.C) - Anaya structures his text as a theory, which gives it an academic tone, while Nye structures her text as a list, which gives it an unemotional tone.D) - Anaya structures his text as a news report, which gives it a neutral tone, while Nye structures her text as a critique, which gives it a judgmental tone.THE ANSWER IS B) - CORRECT ON EDG 2020 PLZ answer fast 45 points plz Select a professional athlete and write a short biography on their life and career. Be sure to include information such as years active, birth and place of birth, life while they were younger, and current activity on a team. Please include the information in no more than 1 to 2 paragraphs.Just do 6 sentences plz what is s+53=g so g=68 so how old is sweet age add What is the product?2x(x-4)O 2x2-4O 2x2-8O 2x2 - 4xO 2x2-8x Identify the following equation: H2 - 2H+ + 2eA. oxidationB. reductionC. redoxD. none of the above Find the area of the trapezoid by decomposing it into other shapes.A) 25 cm2 B) 27 cm2 C) 30 cm2 D) 35 cm2 please help me!!!!!!!!!! 1. Consider a sphere with a radius with an 18 inches.Part A: Determine the surface area of the sphere. what is f(x) = 2 5x Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.In this problem we assume that the force applied doesn't distort the metal in the spring. A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described. The risk of job-related accidents exceeds the risk of job-related diseases in the United States. Please select the best answer from the choices provided. T F 6. A golfer is standing at the tee,looking up to the green on a hill. If thetee is 36 yards lower than the greenand the angle of elevation from the teeto the hole is 12, find the distance fromthe tee to the hole. If you flipped a fair coin 18 times about how many times would you expect heads to appear? Which one is better?Flamingo or InquistormasterCorrect answer gets braineliestAnd also don't think about putting idk as your answer what is the category of Pronouns that allows writers to ask the tough questions.