the perimeter of a square is equal to the perimeter of an equilateral triangle the length of a side of the square is given by the x and lenghth of a side of equilaterel triangle is given x+1 which equation can be used to find the value of x?

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

We are told that the length of a side of the square is x.

Now, perimeter of square = 4 × side length

Perimeter of square = 4x

Also,we are told that the triangle is equilateral and a side is (x + 1).

Thus, perimeter of triangle = 3(x + 1)

Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;

4x = 3(x + 1)

4x = 3x + 3

Subtract 3x from both sides to get;

4x - 3x = 3

x = 3

Answer 2

Answer:

pretty sure it's C

Step-by-step explanation:


Related Questions

Determine the volume of the rectangular prism with a base area of
30.38 square yards and a height of 3.8 yards. ​

Answers

Answer:

[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]

Step-by-step explanation:

For this case we know that the base area is [tex]A = 30.38 yd^2[/tex]

And the height is [tex] h = 3.8 ft[/tex]

The volume for a rectangular prism is given by:

[tex] V = A h[/tex]

And replacing the info we got:

[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]

Answer:

Volume = 115.44 cubed yard

Step-by-step explanation:

Given that ;

base area = 30.38 square yards

height = 3.8 yards. ​

The volume for a rectangular prism is length * width * height

Area = length * width

we are given area = 30.38 square yards

Volume = Area * height

Volume = 30.38 square yards *  3.8 yards. ​

Volume = 115.44 cubed yard

Therefore, the answer is  = 115.44 cubed yard

4) A garden is in the shape of a square with a perimeter of
56 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside. If the material used to build the two fences is $1.21 per foot, what was the total cost of the fences?

It costs $ ______ to build the fences.

Answers

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = [tex]4 \times Side[/tex]

We are given that A garden is in the shape of a square with a perimeter of  56 feet.

So,[tex]4 \times side = 56[/tex]

Side =[tex]\frac{56}{4}=14 feet[/tex]

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = [tex]4 \times side = 4 \times 18 = 72 feet[/tex]

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =[tex]56 \times 1.21=67.76[/tex]

Cost of fencing 72 feet = [tex]72 \times 1.21=87.12[/tex]

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

What is the probability that a student chosen randomly from the class does not have a cat

Answers

Answer:

20/27 or 0.74

Step-by-step explanation:

The total number of people is: 2+6+5+14 = 27

Total number of people that don't have a cat is: 6+14 = 20

20/27 = 0.74

Which graph is the solution to the inequality?

y - 13 > -85
13 < -85 + y
y + 13 < -85

Answers

Answer:

B

A

C

Step-by-step explanation:

Simply the inequalities

y - 13 > -85

y > -85 + 13

y > -72

Graph B is the solution

13 < -85 + y

y > 13 + 85

y > 98

Graph A is the solution

y + 13 < -85

y < -85 -13

y < -98

Graph C is the solution

Answer:

B A C

Step-by-step explanation:

Solve for x and y
3x + 2y = 16
7x + y = 19

Answers

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

Double the second equation and subtract the first:

  2(7x +y) -(3x +2y) = 2(19) -(16)

  11x = 22

  x = 2

In the second equation, ...

  7(2) +y = 19

  y = 19 -14 = 5

The solution is (x, y) = (2, 5).

(A\B)xC = (AxC)\(BxC) prove this please​

Answers

Answer:

to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)

Answer

Shown from explanation

Step-by-step explanation:

Imagine we have a set A and a set B such that set B is contained in set A .

Therefore;

A\B is a mathematical notation in set theory that means;

A\B = A-B it means complement of A

Look at the attachment for a better understanding of the concept.

Therefore:

(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC

Similarly;

(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.

Hence, (A\B) ×C =(A×C)\(B×C)

Part i
Let's try something a bit different. The four brothers know that Bruce weighs
more than Alan. Write an expression to represent how much more Bruce
weighs than Alan. Write the expression in terms of Dylan's weight, d.​

Answers

Answer:

We know nothing about Dylan so we can not write an expression about dylans weight.

Step-by-step explanation:

B- Bruce's Weight

A- Alan's Weight

B-A= H

Where H is how many more pounds that Bruce weighs than Alan.

Answer:

Bruce's weight in terms of Dylan's weight is 3d-12.

Alan's weight in terms of Dylan's weight is 2d+3

So, the expression (3d-12) -(2d+3) represents how much more  Bruce weighs than Alan.

Step-by-step explanation:



Use the dimensions of the rectangular prism to label the indicated dimensions of its net.

Answers

Answer:

what do u mean

Step-by-step explanation:

Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 2.

Answers

Answer:

0/6

Step-by-step explanation:

because there are the numbers from 1-6 and no matter what you add you cant get it lower than 2 (1+1)

Answer:

Step-by-step explanation:

Multiples of 5  =  5  and 10

 

Ways to roll a 5  =  (1,4) ( 4,1)  (2,3) (3,2)

 

Ways to roll  a 10   =  (5,5) (4,6) (6,4)

 

We have  7  possible outcomes for a multiple of 5...and there are   36  possible outcomes in total  

 

So  P (multiple of 5)    = 7 / 36

what is a placebo and why is it important in an experiment to test the effectiveness of a drug

Answers

Answer:

A placebo is a useless substance that takes the place of an actual drug

Step-by-step explanation:

This is to test to see if the drug actually does anything, or if the patients are really just deceived by their imagination

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

D

Step-by-step explanation:

Yes, it does because it passes the vertical line test. We don't have to worry about the horizontal line test because it isn't a valid test. For example, let's imagine a parabola. That doesn't pass the horizontal line test, but it's still a function. This means that we can eliminate option B. We can do the same to C because a function doesn't necessarily have to be a straight line (like the parabola). That leaves us with options A and D. These both have to do with the vertical line test, so let's do it! If we place a vertical line anywhere on this graph, we will see that there are no vertical lines that intersect at 2 places with the graph. Therefore, it passes the vertical line test, and is a function. Hope this helps!

A regular polygon has an interior angle of 172º.
Find the number of sides of this polygon.

Answers

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.

please help i will make you the brainliest

Answers

Answer:

2. Growth of American Cities

3. Eliminated competition by forming monopolies

4. Explain the differences in income between the rich and poor

5. Put more money into circulation

6. The 14th and 15th amendments

A small school had 60% boys and the rest are girls if the number of boys is 48 what is the total number of boys and girls all together in the school

Answers

Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!

Solve for x in terms of b and K:
bx - 2 = K

Answers

Answer:

x=1b(k+2)=1b(k+2.0)

= k+2/x

Step-by-step explanation:

Step 1: Add 2 to both sides.

Step 2: Divide both sides by x

Answer: x=1b(k+2)=1b(k+2.0)

Hope this helps.

PLEASE HELP 15 POINTS!!!!

what is the standard form of

(3x + 4)(x − 8)

Answers

Answer:

3x^2 -20x-32

Step-by-step explanation:

(3x + 4)(x − 8)

Foil

First: 3x*x = 3x^2

outer: -8*3x = -24x

inner: 4x

last: -8*4 =-32

Add them together

3x^2 -24x+4x -32

Combine like terms

3x^2 -20x-32

Standard form is ax^2 +bx+c

Answer:

[tex]3 {x}^{2} + 20x - 32[/tex]

Step-by-step explanation:

[tex](3x + 4)(x - 8) \\ 3x(x - 8) + 4(x - 8) \\ 3 {x}^{2} - 24x + 4x - 32 \\ = 3 {x}^{2} + 20x - 32[/tex]

I need help with -1 + (-4) + (-9), I know the answer but i need the work.

Answers

Answer:

-14

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-1 + (-4) + (-9)

-1 -4 -9 = -14

Note that a positive sign multiplying a negative sign in a bracket gives negative.

Last year there were 1,435 8thgrade students enrolled at your school. This year there are 1,220. What is the percent change in the number of 8thgrade students?

Answers

Hi there!

Answer:

-14.98%(or -15%).

Step-by-step explanation:

1)To find the percent decrease,all you have to do is minus the original number from the decreased amount so:

1435-1220= 215

2)Then you divide this answer by the original number again so:

215÷1435= 0.1498

3)Then you times the decimal by 100 so:

0.1489x100= -14.98%(or -15%).

Hope this helps!

Find the equation of the line that is perpendicular to the x-axis and passes through the point (-14,5). Give the full equation as your answer.

Answers

Answer: x=-14

Step-by-step explanation:

If the line is perpendicular to the x-axis, that means it is parallel to the y-axis. All lines that are parallel to the y-axis have the form x=. Since we know the line passes through the x value of -14, that means the equation of the line is x=-14.

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT

Answers

Answer:

x = 2

Step-by-step explanation:

(DG + EF) / 2 = AB

(5x - 4 + 8x + 2) / 2 = 12

13x - 2 = 24

13x = 26

x = 2

Given your sister's incomplete text,
 "Meet me at the trails located at (−2," .
Explain why the trails must be in quadrant 2 or quadrant 3.


Answers

Explanation:

Quadrants 2 and 3 houses points that have negative x-values, while as Quadrants 1 and 4 houses points that have positive x-values.

If 'your sister' completes the text with negative y-value, the point would be in Q3.

If 'your sister' completes the text with positive y-value, the point would be in Q2.

Answer:

Q2

Step-by-step explanation:

plzzz give me brainliest plzzz

Find the area of the circle r=6 ft 113.04 ft2, 9.42 ft2, 28.26ft2, 37.68 ft2, 18.84 ft2

Answers

Answer:

113.04ft^2

Step-by-step explanation:

Like before [tex]A=\pi r^2\\=\pi 6^2\\=113.04ft^2[/tex]

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at two levels of compression. Penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. Compressed Soil 2.82 2.66 2.98 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 Intermediate Soil 3.18 3.38 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 Use the data, omitting the high outlier, to give a 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. Compute degrees of freedom using the conservative method.

Answers

Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±[tex]t_{n_1+n_2-2;1-\alpha/2}[/tex]*Sa[tex]\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }[/tex]]

[tex]t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715[/tex]

[tex]Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20[/tex]

[(2.90-2.29)±2.715*0.20[tex]\sqrt{\frac{1}{20} +\frac{1}{19} }[/tex]]

[0.436; 0.784]

I hope this helps!

Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:

[tex]\mu_C = 2.9075, s_C = 0.1427[/tex]

For the intermediate soil, omitting the high outlier of 4.26, we have that:

[tex]\mu_I = 3.2895, s_I = 0.2385[/tex]

The distribution of the decrease has mean and standard deviation given by:

[tex]\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382[/tex]

[tex]s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.

Then, critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 19 - 1 = 18 df, is t = 2.8784.

Then:

[tex]\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418[/tex]

[tex]\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182[/tex]

The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

A similar problem is given at https://brainly.com/question/15180581

The proportional relationship between the number of gallons of chocolate ice cream and number of gallons of vanilla ice cream ice creamery freezes daily is graphed below
what does the points (6,2) represent on the graph?

Answers

Answer:

For every 6 gallons of vanilla ice cream frozen, the ice creamery freezes 2 gallons of chocolate ice cream.

Step-by-step explanation:

E-Z

Give step by step answer

Answers

Answer:

2 1/2 cups of vegetables

Step-by-step explanation:

This is an averages question, so add all numbers and divide by amount of numbers

2+1+2+1+3+6=15

15/6=2 1/2

Answer:

Nancy put 3 cups of vegetables in each container.

Step-by-step explanation:

1. Add the amount of vegetables together

2. Divided the number of vegetables by 5, since they are put into 5 separate containers.

____________________________________________________________2+1+2+1+3+6 = 15

15 divided by 5 or 5 x ? = 15

Please answer this correctly

Answers

Answer:

  6 mm

Step-by-step explanation:

In the smaller figure, the short side is 4/28 = 1/7 the length of the long side. Since the figures are similar, the same will be true in the large figure:

  k = (1/7)(42 mm)

  k = 6 mm

What is the square root of r^64

Answers

Answer: r8

Step-by-step explanation:

The square root of r⁶⁴ is r³².

Here, we have,

The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.

Square root of r⁶⁴:

√(r⁶⁴)

Since the exponent is even (64), we can divide it by 2:

√(r⁶⁴⁻²)

√(r³²)

Therefore, the square root of r⁶⁴ is r³².

To learn more on square root click:

brainly.com/question/29286039

#SPJ6

Which of the following is an odd function?
Of(x) = 3x2 + x
Of(x) = 4x3 + 7
Of(x) = 5x2 + 9
Of(x) = 6x2 + 2x

Answers

Answer: Neither function is odd.

What is the solution to the following equation(-14)+x=14

Answers

Answer:

x = 28

Step-by-step explanation:

(-14)+x=14

Add 14 to each side to isolate x

14+(-14)+x=14+14

x = 28

Answer:

[tex]x = 28[/tex]

Step-by-step explanation:

[tex] - 14 + x = 14 \\ x = 14 + 14 \\ x = 28[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Solve x^2+11x=−10 by completing the square.
The solutions are x= ___ and x=___.

Answers

Answer:

  -10, -1

Step-by-step explanation:

To complete the square, we add the square of half the x-coefficient:

  x^2 +11x +5.5^2 = -10 +5.5^2

  (x +5.5)^2 = 20.25

Taking the square root, we get ...

  x +5.5 = ±4.5

  x = -5.5 ±4.5 = {-10, -1}

The solutions are x = -10 and x = -1.

Other Questions
Rewrite the function by completing the square. h(x)=4x^2-36x+81 Which source would be good to learn aboutfamily traditions?B. weaponsA. pottery bowlC. piece of furnitureD. oral history Solve: -(1/8)d -4 = -(3/8) Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend Harry will draw an even numbered card? Tyler is buying a chrome book which cost $89 the tax in his county is 3.75% how much will he pay for the chrome book including tax Write a summary of Robert Louis Stevensons essay ""On the enjoyment of unpleasant places."" okay i got the first one down what about this one GUYS PLEASE HELP BECAUSE I HAVE TO BE SOMEWHERE AND IF I DONT GET THIS THEN I CANT GO PLEEEAASEE REEEEEEE Write three comments (one substantive paragraph)Please discuss either 1) the theme of good versus evil in "Rumpelstiltskin" by Jacob and Wilhelm Grimm OR 2)how emotions and feelings create or drive the plot of "Rumpelstiltskin." help meeee, i need helppp Discuss how the nature of rural settlements affect the type and expanse of agriculture activities in rural area The reading shows a technique for cracking chaucer's text, which was encrypted using a basic substitution cipher. that technique, which takes advantage of the fact that certain characters or groups of characters occur more often than others and can be used to crack any substitution cipher, is called: i think i have to get of brainly.But i'm not sure yet. Using the following information, compute the direct materials used. Raw materials inventory, January 1 $ 20000 Raw materials inventory, December 31 40000 Work in process, January 1 18000 Work in process, December 31 12000 Finished goods, January 1 40000 Finished goods, December 31 32000 Raw materials purchases 1800000 Direct labor 760000 Factory utilities 150000 Indirect labor 50000 Factory depreciation 400000 Operating expenses 420000 Which statement explains how commercial land use negatively impacts watersheds?O Chemicals in fertilizers run off into water and cause algae blooms.O Production of clothing items makes pollutants that contaminate the water.O Chemicals from lawn maintenance leach into water and are washed into rivers.O Motors from boats and wave runners leak fuel pollutants into water and affect fish. Trees have genes that control their height, flowers, fruits and more. Based on this sentence, what is the relationship between genotype and phenotype? Does genotype determine phenotype or does the phenotype determine the genotype? Explain in 1-2 sentences. How doth the little crocodile improve each shining hour...? the word doth in the above quote is an archaic word? Mae Ling earns a weekly salary of $335 plus a 5.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,200 worth of merchandise? At a sale, dresses were sold for $140 each. If the dresses originally cost $200 each,what percentage of its original price was a dress sold for? 1)The Pet Company has recently discovered a type of rock which, when crushed, is extremely absorbent. It is expected that the firm will experience (beginning now) an unusually high growth rate (20%) during the period (3 years) when it has exclusive rights to the property where this rock can be found. However, beginning with the fourth year the firm's competition will have access to the material, and from that time on the firm will assume a normal growth rate of 8% annually. During the rapid growth period, the firm's dividend payout ratio will be relatively low (20%), to conserve funds for reinvestment. However, the decrease in growth will be accompanied by an increase in dividend payout to 50%. Last year's earnings were $2.00 per share (E0) and the firm's cost of equity is 10%. What should be the current price of the common stock? f(x)=-9x^2-2x and g(x)=3x^2+6x-9, find (f-g)(x) and (f-g)(-4)