The length of an equilateral triangle is increased by 5 cm. The perimeter of the new triangle is 72 cm. What is the side length of the original triangle?

Answers

Answer 1

Answer:

19cm

Step-by-step explanation:

An equilateral triangle is a triangle where the length of the 3 sides are the same.

the perimeter is the sum of the 3 sides

for example, if the length of the side of the an equilateral triangle is 5, the perimeter is 5 x 3 = 15

let x = unknown length of side

length after increase = x + 5

(x + 5) x 3 = 72

divide both sides of the equation by 3

x + 5 = 24

subtract 5 from both sides of the equation

x = 24 - 5 = 19cm


Related Questions

Raheem is considering two different layouts for a new garden. He needs to put a length of fence around whichever layout he chooses.

Answers

Answer: c

Step-by-step explanation: layout B needs about 2.3m more fencing.

Answer:

C

Step-by-step explanation:

Find the missing side of this right triangle.

Answers

You can solve right angle triangles using the pythagorean theorem, in which a^2 + b^2 = c^2, where c is the largest side.
Rearrange this to c^2 - b^2 = a^2
giving you 5^2 - 3^2 = A^2
in which 16 = a^2
and to solve for just a, square root both sides to give you a final answer of a = 4

Answer:

4,-4

Step-by-step explanation:

If 75% of a number is 300 and 20% of the same number is 80, find 95% of that number.

Answers

Answer:

380

Step-by-step explanation:

380/400 is 95%

PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF

Answers

Answer: I believe it's 6 5/8

Step-by-step explanation:

The floor of a rectangular cage has a length 4 feet greater than its width, w. James
will increase both dimensions of the floor by 2 feet. Which equation represents the
new area, N, of the floor of the cage?

Answers

Answer:

x² + 8x + 12

Step-by-step explanation:

Area of a rectangle = length × width

Original dimensions:

Width = x

Length = x + 4

James will increase both dimensions of the floor by 2 feet

New dimensions:

Width = x + 2

Length = x + 4 + 2

= x + 6

Area of the new rectangle = length × width

= (x + 2) × (x + 6)

= x² + 6x + 2x + 12

= x² + 8x + 12

Equation which represents the

new area, N, of the floor of the cage = x² + 8x + 12

Ming is making cookies, and hehas 10 eggs in his refrigerator to make 30 cookies hiis recipe requires 3 eggs. Using this recipe, how many more eggs will he need to buy to make120 cookies?

Answers

Answer:

your answer is 12 eggs

Step-by-step explanation:

divide the cookies and the eggs.

30 divided by 3 is 10

thats how many cookies you can make with one egg.

now divide 120 by 10

your answer is 12 eggs

Veronica bought a house. Her property taxes are $2080 per year and she also needs to
pay $800 per year for homeowner's insurance. What is the monthly amount she needs
to budget to her monthly mortgage payment?

Answers

$173.33/ month for mortgage alone
$240/month for mortgage and insurance

2080 for mortgage / 12 months = $173.33

$2080 + $800 = $2880
2880/12 = 240

a group of 4 friends shares 2 packs of gum equally? there are 8 pieces of gum in each pack. which set of equations shows how many pieces of gum, g each friend recieves?

Answers

4 friends
2 packs of gum
8 pieces each pack


PEMDAS
8x2/4
16/4
4

The answer is each friend would receive 4 pieces of gum

Identify the area of a regular pentagon with side length 11 cm. Round to the nearest tenth.

Answers

Answer:208.2

Step-by-step explanation:

Answer:

208.2

Step-by-step explanation:

I got it right;)

16) Jenna is responsible for changing the broken light bulb in a streetlamp. The streetlamp is 14 feet high. Jenna places the base of her ladder 3 feet from the base of the streetlamp. Jenna can extend the ladder from 10 feet to 14 feet. How long must her ladder be to reach the top of the streetlamp? Will her ladder work?​

Answers

Use the Pythagorean theorem:

Height is 14, base is 3, so we can calculate the length required.

Length = sqrt(14^2 + 3^2)

Length = sqrt( 196 + 9)

Length = sqrt(205)

Length = 14.32 feet.

The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.

Answer:

14.32 is ur awnser

Step-by-step explanation:

Which of the following
E values would form a right
triangle?
A. 4, 7, 11
B. 5, 12, 13
C. 5, 10, 15
D. 8, 9, 12

Answers

It is which ever one adds up to 90

I hope you can see the question, but please help me!?!

Answers

Answer:

the third one

Step-by-step explanation: tell me if im wrong so i can fix it and your welcome if its right

Answer:

B.

Step-by-step explanation:

The second one

y=x
2
+3x+2 & y=4x+4

Answers

Answer:

Step-by-step explanation:pho;np9yil.gboil k,

What is the square root of 200 in a whole

Plz answer

Answers

Answer:

The square root of 200 can be simplified as 10√2.

Step-by-step explanation:

hope i helped

Answer:

10[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2^{3} * 5^{2} }[/tex]

[tex]\sqrt{2^{2} *2*5^{2} }[/tex]

[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]

[tex]2\sqrt{2} *5[/tex]

10[tex]\sqrt{2}[/tex]

Tim left a $4 tip on a $20
bill. What percent tip did he leave?

Answers

Answer:

20%

Step-by-step explanation:

Divide 4 (tip) by 20 (total bill) and you get 20 percent.

Answer:

20% tip

Step-by-step explanation:

4/20 = 0.2

Convert to a percentage:

0.2*100 = 20%

Answer this question to get marked as brainliest!!!!

Answers

Answer:

8

Step-by-step explanation:

anything raised to the power of 1 is itself

The answer is 8 yesssssss 7

Find the value of x and y of the equilateral triangle

Answers

Answer:

x = 12

y = 30

Step-by-step explanation:

We know:

All sides of equilateral triangle are equal:

= > 3 x + 8 = 4 x - 4

= > 8 + 4 = 4 x - 3 x

= > x = 12

Also, we know all angles of equilateral triangle is 60. And their sum is 180.

= > 2 y = 60

= > y = 30

Hence we get required answer!

Marking brainliest

What human right is based on race? Im doing a research essay and I will talk about how Georgie Floyd’s rights were violated but I don’t know what human right to use

Answers

Answer:

Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.

Step-by-step explanation:

these are the 5 basic rights, most of them were taken for george floyd

hope this helped

Round your answer to the nearest hundredth 4.) A basketball is passed through the air. The height h of the ball in feet after the distance d In teet the ball travels horizontally is given by h= - + 124 + 6. How tar horizontally from the player passing the ball will the ball land on the ground? I​

Answers

Answer:

10.48 feet

Step-by-step explanation:

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

f(x) = -½x + 16

Step-by-step explanation:

Using two points in the line, (0, 16) and (4, 14), we can write an equation for the linear function in the slope-intercept form, f(x) = mx + b, by finding the slope (m) and the y-intercept (b), then substituting each of the value into f(x) = mx + b.

✔️Slope (m) = change in y/change in x

Using, (0, 16) and (4, 14),

Slope (m) = (14 - 16)/(4 - 0) = -2/4

m = -½

✔️y-intercept (b) would be the value of y when x = 0, or the point at which the y-axis is intercepted by the line.

Thus,

When x = 0, y = 16

Therefore,

b = 16

✅Write the equation of the function by substituting m = -½ and b = 16 into f(x) = mx + b

Thus:

f(x) = -½x + 16

CAN SOMEONE HELP LIKE RIGHT NOW!!!!!

Answers

Answer:

30 + 25 + (4x + 25) = 180

55 + (4x + 25) = 180

-55                    -55

4x + 25 = 125

-25 -25

4x = 100

Divide by 4 on both sides

X = 25

Now we just replace the x with 25

4 x 25 = 100, 100 + 25 = 125 degrees is the missing angle of y

Find the circumference of the circle using C = pi•D​

Answers

Answer:

The correct answer is the third choice, 14 pi.

The choice you selected is wrong.

Circumference =  πD

=  diameter is 14, so its 14π

(WILL GIVE BRAINLIEST)​

Answers

Answer:

i think the answer is B

Step-by-step explanation:

Explain why the graph shown may be misleading.

Answers

Answer:

size of the cars

Step-by-step explanation:

if you were to look at it you would see all of the cars are the same length

All the cars would be the same length

A major car dealership has several stores in a big city. The owner wants to determine if there is a difference in the proportion of SUVs that are sold at stores A and B. The owner gathers the sales records for each store from the past year. A random sample of 55 receipts from store A shows that 30 of the sales were for SUVs. Another random sample of 60 receipts from store B shows that 42 of the sales were for SUVs. Assuming conditions for inference are met, what is the 99% confidence interval for the difference in proportions of sales that are SUVs

Answers

Answer:

confidence interval = ( -0.38 , 0.08 )

Step-by-step explanation:

Given data :

n1 = 55 , n2 = 60 ,

Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55

P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70

The Z-value at 99% confidence Interval = 2.58

Determine the 99% confidence interval for difference in proportion

applying the formula below

( P1 - P2 ) ± Z ( [tex]\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}[/tex]

Input values above into equation

confidence interval = ( -0.38 , 0.08 )

Question 4
In order to ensure that the roof consists of right angles, an architect measures the diagonal to create a triangle. If the dimensions of the
triangle are 9.5 feet, 16 feet, and 18.5 feet, is the triangle a right triangle?

Answers

Answer:I have a question

Step-by-step explanation:

About that question is it a right triangle or no

The triangles with side lengths 9.5 feet , 16 feet and 18.5 feet is an acute triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the height of the triangle is AB = 16 feet

The base of the triangle is BC = 9.5 feet

The hypotenuse of the triangle is AC = 18.5 feet

And , for a triangle , if a² + b² > c² , it is an acute triangle

Substituting the values in the equation , we get

( 9.5 )² + ( 16 )² > ( 18.5 )²

90.25 + 256 > 342.25

346.25 > 342.25

Hence , the triangle is an acute triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

1. A 10-foot long ladder leans against a vertical wall such that its base is 4 feet
from the bottom of the wall. Determine, to the nearest tenth of a foot, how high,
h, the ladder reaches up the wall.

Answers

Answer:

9.2

Step-by-step explanation:

follow the equation for the hypotenuse of a right triangle.

a^2+b^2=c^2

4^2+b^2=10^2

16+b^2=100

b^2=100-16

b^2=84

b=9.2

Answer:

The answer is 9.2. Hope this helps.

The Grocery Store is located 4.8 miles west of the School. The Airport is located 6.4 miles south of the School. What is the length of a straight line between the Grocery Store and the Airport? Show all work.

Answers

Answer:

8 miles

Step-by-step explanation:

Using the Pythagorean Theorum, we put in c=√4.8^2+6.4^2, which when we solve, will be equal to 8.

(Sorry if this is incorrect)

which of the following is most likely to be the number of times a 1 is rolled out of 500 rolls
80
200
30

Answers

500/6 = 83.33, so 80

Find the value of x. Round your answer to the nearest tenth
(Will give brainiest)

Answers

Answer:

Its 67.9 but technically its 67.912 *hope this helps

Step-by-step explanation:

Right scalene triangle.

Sides: a = 66   b = 16   c = 67.912

Area: T = 528

Perimeter: p = 149.912

Semiperimeter: s = 74.956

Angle ∠ A = α = 76.373° = 76°22'23″ = 1.333 rad

Angle ∠ B = β = 13.627° = 13°37'37″ = 0.238 rad

Angle ∠ C = γ = 90° = 1.571 rad

Height: ha = 16

Height: hb = 66

Height: hc = 15.55

Median: ma = 36.674

Median: mb = 66.483

Median: mc = 33.956

Inradius: r = 7.044

Circumradius: R = 33.956

Vertex coordinates: A[67.912; 0] B[0; 0] C[64.142; 15.55]

Centroid: CG[44.018; 5.183]

Coordinates of the circumscribed circle: U[33.956; 0]

Coordinates of the inscribed circle: I[58.956; 7.044]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 103.627° = 103°37'37″ = 1.333 rad

∠ B' = β' = 166.373° = 166°22'23″ = 0.238 rad

∠ C' = γ' = 90° = 1.571 rad

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