the 3 sides of triangle are n, 4n + 1 , 5n- 8. if the perimeter of the triangle is 93 cm, what is the length of each side?​

Answers

Answer 1

Answer:

10, 41, 42

Step-by-step explanation:

(n)+(4n+1)+(5n-8)=93 because triangle perimeter

10n-7=93

10n=100

n=10

Answer 2

Answer: 10 cm, 41 cm, and 42 cm

Step-by-step explanation:

       We can set up an equation knowing the perimeter to solve for the lengths of each side. Then, we will plug the value of n into the different expressions that represent each side.

   Perimeter of a triangle:

P = side a + side b + side c

   Plug in our known values:

93 cm = (n) + (4n + 1) + (5n - 8)

   Simplify and combine like terms:

93 cm = n + 4n + 1 + 5n - 8

93 cm = n + 4n + 5n + 1 - 8

93 cm = 10n -7

   Add 7 to both sides of the equation:

100 cm = 10n

   Divide both sides of the equation by 10:

10 cm = n

n = 10 cm

        -

   Solve for the lengths of each side:

n = 10 cm

4n + 1 = 4(10) + 1 = 40 + 1 = 41 cm

5n - 8 = 5(10) - 8 = 50 - 8 = 42 cm


Related Questions

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is .

Answers

I think this is the answer .

Answer:

4.4

Step-by-step explanation:

A distribution has a mean of 70.If 5 points are added to each individual score, the new mean would be

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Answer:

well its free

Step-by-step explanation:

asdasdasdasd

WILL GIVE BRAINLY
Triangle ABC is similar to triangle WYZ.


Select all angles whose cosine equals [tex]\frac{3}{5}[/tex]


Question 1 options:


Angle B


Angle Y


Angle Z


Angle C


Angle A


Angle W

Answers

Answer:Angle W and Angle C

Step-by-step explanation:

The angles whose cosine equals 3/5 are <A and <W.

What is Trigonometry?

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

ΔACB and ΔWZY are similar to each other.

Now, Using trigonometry

cosine = Adjacent leg/ Hypotenuse

We have cosine = 3/5

where Adjacent side =3 and Hypotenuse = 5

So, the angle which have Adjacent side 3 in both triangles are

<A and <W.

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A pair of equations is shown below:

y = 7x − 9
y = 3x − 1

Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)

Part B: What is the solution to the pair of equations? (4 points)

Answers

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

solve this arithmetic Progression​

Answers

So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e [tex]{\bf{d=a_{n}-a_{n-1}}}[/tex], where d is the common difference, so here d = 49 - 45 = 4

Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;

[tex]{:\implies \quad \sf a+(n-1)d=49}[/tex]

[tex]{:\implies \quad \sf a+(n-1)4=49}[/tex]

[tex]{:\implies \quad \sf a+4n-4=49}[/tex]

[tex]{:\implies \quad \sf a=49+4-4n=\boxed{\bf{53-4n}}}[/tex]

Now, as we assumed there are n terms, so using the sum formula, we can have ;

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(a+a_{n})}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(53-4n+49)}[/tex]

[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(102-4n)}[/tex]

[tex]{:\implies \quad \sf S_{n}=n(56-2n)=\boxed{\bf{-2n^{2}+56n}}}[/tex]

Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;

[tex]{:\implies \quad \sf S_{6}=\dfrac{1\{1-(3)^{6}\}}{1-3}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{1-729}{-2}}[/tex]

[tex]{:\implies \quad \sf S_{6}=\dfrac{-728}{-2}=\boxed{\bf{364}}}[/tex]

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

AB = 13 meters

Step-by-step explanation:

AB is congruent to AC and AC is 13 meters so that's what AB would be

y=3(x-2)(x-5) standard form?

Answers

Answer:

y = 3x² - 21x + 30

Step-by-step explanation:

Given is the factored form of a quadratic function.

The standard form is:

y = ax² + bx + c

Open parenthesis to convert it into standard form:

y = 3(x - 2)(x - 5)   = 3(x² - 7x + 10)   = 3x² - 21x + 30

Answer:

3x² - 21x + 30

Step-by-step explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

Alge
If the number of bacteria in a colony doubles every 203 minutes and there is currently a
population of 40 bacteria, what will the population be 812 minutes from now?
bacteria
Submit

Answers

Answer:

640 Bacteria

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.

812÷203=4

The population will double 4 times.

Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.

402222=640

That calculation could also be written with exponents:

4024=640

After 812 minutes, the population will be 640 bacteria.

Which of the following is an equivalent expression to the expression a^1/3 divided by a^1/4?
A. 1/a^12
B. 7/a^12
C. 1/a^12
D. 1/a^7/12

Answers

Answer:

C. 1/a¹²

Step-by-step explanation:

Formula

[tex]\frac{a^{m}}{a^{n} } = a^{m-n}[/tex]

Applying that here :

[tex]\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } } = a^{\frac{1}{3}-\frac{1}{4} }[/tex][tex]a^{\frac{4-3}{12} } = a^{\frac{1}{12} }[/tex]1/a¹²

Answer:

a^1/12 or choice A

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]

Law of Exponent (Division Property):

[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]

Therefore:

[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]

Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:

[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]

Therefore, the solution is a^1/12 or choice A

Please help me with this thanks! God bless you

Answers

Basketball and horseback riding

Anyone can help me with this? Kinda confusing. Thank you!

Answers

Answer:

14

Step-by-step explanation:

you can do 9 x 14 and get 126

The area of Elizabeth's garden is 60 square
7 feet. The garden has a width of 5 feet as
shown in the diagram.
?
5 feet
What is the length, in feet, of the garden?

Answers

205 ft as lenght

Step-by-step explanation:

First i multiplyed 60x7 nd got 420. Then i subtracted 10 from 420 and got 410. Next i divided 410 by 2 and got 205 ft.

Oscar enjoys many different sports. Today, Oscar jogged for 6 minutes, rode his bike for 23 minutes, and played tennis for 49 minutes.

How much time did Oscar spend playing sports today?

Answers

Answer: 78

Step-by-step explanation:

just add the time all together then this will be your answer.

using wqdevdsqxcsqsd

Answers

What is your question here bro !!

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each model with the square root equation it represents.

Answers

1. squareroot of 16=4
2.squareroot of 36=6
3.squareroot of 64=8 :)

Given the data 12,39,21,18,24,17,12,25

Answers

Answer:

12,39,21,18,24,17,12,25

Step-by-step explanation:

Which equations are true for x = –2 and x = 2? Select two options

x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0

Answers

Plug in 2, -2 for each X and see if when you do that any of them = 0
So. The first one 4th one are true

A company paid ​$211.00 for an item. The original price was​ $299.20​, but this was marked down 40​%. If the operating expenses are 36​% of the​ cost, find the operating loss and the absolute loss.

1. What is the operating loss?
2. What is the absolute loss?

Answers

Answer:

If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.

1. An operating loss occurs when a company's operating expenses exceed gross profits (or revenues in the case of a service-oriented company.

2. Mean absolute error (MAE) is a loss function used for regression. The loss is the mean overseen data of the absolute differences between true and predicted values, or writing it a formula.

Step-by-step explanation:

there would you place -6?

Answers

Answer:

Integer

Step-by-step explanation:

Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.

Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.

Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.

Here is a better representation of that if you're a visual learner. Hope this helps!

What area is the shape?

Answers

Answer:

20 Units

Step-by-step explanation:

The question wants us to find the area of the shape.

From looking at the shape, we can easily infer that it is made of 1 square and 1 triangle.

Area of a Square/Rectangle Formula: A = W(L)

Area of a Trangle Formula: A = (1/2)(b)h

A = W(L)+(1/2)(b)h

The base of the traingle can be found by subtracting the longer length (6) from the smaller length (4).

A = 4(4)+(1/2)(2)4

A = 16+(1)4

A = 16+4

A = 20 Units

Please help!!!
(07.02)
What is the value of y in the equation 3y - 8 = 22?
07.3
8
O 10
O 14

Answers

It’s 10 as 22+ 8= 30 and 30/3 = 10

Answer:

The answer is 10 dude.

Step-by-step explanation:

You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.

Based on the diagram, which expresses all possible lengths of segment AB?

AB = 25
27 < AB < 81
AB = 85
AB < 27 or AB > 81

Answers

Answer:

B. 27<AB<81 seems like the best option. AB got to be bigger than 27.

Step-by-step explanation:

Based on the diagram, possible lengths of side AB are 27 < AB < 81.

What is Triangle?

Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.

The sum of all the angles inside the triangle is equal to 180 degrees.

We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.

So the length of side AB is always less than AC + BC.

AB < AC + BC

AB < 27 + 54

AB < 81

Now from the diagram it is clear that AC is less than AB.

AC < AB

27 < AB

Combining these inequalities, we get 27 < AB < 81.

Hence all the possible lengths of side AB is 27 < AB < 81.

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help ASAP

15 POINTS
need help anyone who helps get brainly user!!!!​

Answers

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Somebody pls help me with this

Answers

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Answer:

85 minutes

Step-by-step explanation:

if need working than please do ask

What is the slope of the line that contains these points?
x
39 40 41
42
y
36
29 22 15

Answers

Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

Find the volume . Round to the nearest tenth

Answers

volume: 1740 ft³

[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]

[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]

[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]

[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]

[tex]\sf volume\ of \ the \ prism =1740[/tex]

Answer:

1740 ft³

Step-by-step explanation:

Volume

= Volume of right triangular prism (upper) + Volume of cuboid (below)

= 1/2L₁B₁H₁ + L₂B₂H₂

= 1/2 x 12 x 10 x 9 + 15 x 10 x 8

= 5 x 108 + 120 x 10

= 540 + 1200

= 1740 ft³

Which angles are congruent to each other?
314 11
12
109
15
5
13
210 and 212
216 and 26
215 and 27
29 and 214
Submit
X Practice in the app

Answers

The answer is 10 and 12

Select the correct answer.
This is a regular pentagon. The apothem is shown. What is perimeter of the pentagon?
5 cm
OA
18.2 cm
B.
30.7 cm
C.
36.3 cm
D.
43.8 cm

Answers

The perimeter of the pentagon with apothem of 5cm is 28.87cm

How to calculate the perimeter of a pentagon

The sum of all the external sides of the pentagon is its perimeter.

First we need to calculate the half of one of its sides using the SOH CAH TOA

tan 30 = x/5

x = 5 tan 30

x = 2.89

One of the sides = 2(2.89) = 5.77 cm

Perimeter of th pentagon  = 5(5.77) = 28.87

Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm

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3/4 x (z^3 x 4) answer

Answers

Answer:

[tex]3z {}^{3} \times 12[/tex]

[tex]36z {}^{3} [/tex]

Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0

Answers

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

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