A regular quadrilateral and a regular triangle have the same perimeter. The side length of one of the sides of the quadrilateral is 48. What is the length of a side of the triangle?

Answers

Answer 1

The length of a side of the triangle is 16.

Which is a Regular Polygon?

A polygon is classified as regular when all sides and angles are equal. Therefore, a regular quadrilateral presents all the four sides and the  four angles equal. You can use the same conclusion for a regular triangle, but for a triangle the three sides and the  three angles are equal.

The question gives:

The perimeter for the regular quadrilateral = 48. Because of this, it is important that you know the definition for perimeter =  sum of the sides of a  geometric figure.

As the triangle was classified as regular, all its sides (x) are equal. Then,

x+x+x=48

3x=48

x=48/3

x=16

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Related Questions

Companies also gather data on customer web use and preferences often without
their consent.
True
False

Answers

This is true, Companies also gather data on customer web use and preferences often without their consent.

What is data?

A set of discrete values called data is a collection of information that can describe amount, quality, fact, statistics, or just a series of symbols that can be further understood. A datum is a distinct state inside a collection of data. Typically, data is arranged into structures like tables that provide it additional context and meaning and can also be used as their own form of data in bigger structures. It's possible to use data as variables in a computation. Data can reflect both actual measures and abstract concepts. Data is employed often in practically every aspect of human organizational activity, including business and science. Stock prices, crime rates, unemployment rates, literacy rates, and census statistics are a few examples of data sets.

Companies sometimes gather data on customer web usage and preferences often without their consent. The main reason behind this dat collection is to suggest the best product or to show best advertisement based on the web usage and preferences.

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I need help with this practice problem solving I will send two additional pictures that go with this, one is the rest of the question and the other is the answer options

Answers

Given:

[tex]\frac{\sec x\sin x}{\tan x+\cot x}=\sin^2x[/tex]

Find-: Prove the trigonometric identity.

Sol:

Use some trigonometric formula:

[tex]\begin{gathered} \sec x=\frac{1}{\cos x} \\ \\ \tan x=\frac{\sin x}{\cos x} \\ \\ \cot x=\frac{\cos x}{\sin x} \end{gathered}[/tex]

So,

[tex]\begin{gathered} \frac{\sec x\sin x}{\tan x+\cot x}=\sin^2x \\ \\ \frac{\frac{1}{\cos x}\cdot\sin x}{\frac{\sin x}{\cos x}+\frac{\cos x}{\sin x}}.................\text{ First option } \end{gathered}[/tex]

Then,

[tex]=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2x}{\sin x\cos x}+\frac{\cos^2x}{\sin x\cos}}................................(\text{ Second option\rparen}[/tex]

[tex]=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2x+\cos^2x}{\sin x\cos x}}...........................(\text{ Third option\rparen}[/tex]

Solve the identity then,

[tex]=\frac{\frac{\sin x}{\cos x}}{\frac{1}{\sin x\cos x}}..................(\text{ Fourth option\rparen}[/tex]

Here, use the formula:

[tex]\sin^2x+\cos^2x=1[/tex]

Then,

[tex]\begin{gathered} =\frac{\sin x}{\cos x}\sin x\cos x..........(\text{ Fifth option\rparen} \\ \\ =\sin^2x \end{gathered}[/tex]

Write the FOLLOWING algebraic expression in words1/3 a to the 3rd power

Answers

From the question we are to express the algebraic expression in words

[tex]\frac{1}{3}a^3[/tex]

The algebraic expression can be written as

The product of one-third and the cube of a certain number, a

or

The cube of a certain number, a divided by 3

Cann you prove the two triangles below to be congruent, if so which postulate did you use to prove them congruent

Answers

The angles shown in each triangle are congruent. Then, by SAS postulate, the triangles are congruent

How do I find the missing angles marked by letters in this parallelogram

Answers

In a parallelogram,

i) Opposite angles are equal i.e

[tex]\begin{gathered} d=f \\ e=110^0^{} \end{gathered}[/tex]

ii) Consecutive angles are supplementary i.e

[tex]110^0+f=180^0\text{ (Consecutive angles of a parallelogram are equal)}[/tex]

To find f, collect like terms

[tex]\begin{gathered} 110^0+f=180^0 \\ f=180^0-110^0=70^0 \\ f=70^0 \end{gathered}[/tex]

Since, d = f,

Thus,

[tex]\begin{gathered} d=f=70^0 \\ d=70^0 \end{gathered}[/tex]

Hence, the missing angles are d = f = 70° and e = 110°

Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume thatcommuting times are normally distributed and that the standard deviation is 6.1 minutes, find the probabilities. (b) The selected commuter spends less than 11 minutes commuting one way.P (x<11) =

Answers

mean: 25 minutes

standard deviation: 6.1 minutes

A 11 minutes commute time is 2.30 standard deviations away from the mean. In this case, we have, for a normal distribution:

[tex]P(x<11)=P(x<\mu-2.3\sigma)=0.0107[/tex]

Give a Θ estimate of the number of addition operations that the following algorithm will execute: i←1 t←0 while (i≤n) t←t+i i←i+

Answers

The estimate of the number of addition operations that the algorithm will execute is:

Θ(2n).

What is the complexity of the given algorithm?

The complexity of the given algorithm is an estimate of the number of operations that the algorithm will execute.

For an algorithm bounded by a loop such as this one, due to the command while (i≤n), the length of the loop is bound of the complexity of the algorithm, hence we can begin the complexity equation as follows:

Θ(n).

Inside the loop, for each iteration of the loop, that is, each value of i, two addition operations are made, adding i to t and incrementing the count control variable i by 1.

Due to the two addition operations inside on each iteration of the loop, 2 is multiplied inside the complexity, hence the estimate of the number of addition operations that the algorithm will execute is:

Θ(2n).

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Jim earns $44,700 annually and pays 11 1/4 % for state and local taxes.How much tax does he pay annually?a. $39,671.25b. $49,728.75c. $5,028.75d. $5,014.31

Answers

The percentage paid as tax annually is 11 1/4 %. We would convert this perentage to decimal. It becomes 11.25%

Recall, percentage is expressed in terms of 100. If Jim earns $44,700 annually, then the amount of tax that he pays annually is

11.25/100 x 44700

= 5028.75

The correct option is C

In Ron's neighborhood, 5 out of every 6 families get a newspaper. Currently, 75 of the families get a newspaper. How many families are in Ron's neighborhood?

Answers

To solve this question we use the following ratio

[tex]\frac{No\text{of families that have newspaper}}{\text{Total number of families}}[/tex]

No of families with newspaper = 5

No of families in the neighbourhood = 6

If the number of families currently with newspaper = 75 then,

[tex]\frac{5}{6}=\frac{75}{\text{total number of families in the neighbourood}}[/tex]

Question 1
A student went to the gas station to buy gasoline and a bag of potato chips. Gasoline was $2.31 per
gallon and potato chips were $1.25.

Part 1. Write a linear equation to model the total amount the student spent at the gas station,
where g represents the number of gallons of gasoline, and t represents the total amount of money
spent. Assume there is no tax.
Part 2. Suppose the student bought 16 gallons of gas. Find the total amount the student spent at
the gas station

Answers

Part 1. The linear equation is 2.31g + 1.25t = 0

Part 2. Total amount student spent at the gas station is $36.96

What is linear equation?

An equation between two variables that, when plotted on a graph, produces a straight line or say first degree equation is known as linear equation.

Part 1.

Here in question of part 1 it stated that

g = the number of gallons of gasoline

t =  the total amount of money

So according to question, the linear equation will be

2.31g + 1.25t = 0

Part 2.

Given, 1g = $2.31

then, 16g = 16 * 2.31

               = $36.96

Therefore, for Part 1. The linear equation is 2.31g + 1.25t = 0 and,

for part 2. Total amount student spent at the gas station is $36.96

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Complete the following using all of the numbers
1, 2, 3, 4, 5, 6

to find the smallest even number

Must be in the format
____ - ____ (3 digit numbers only)

Answers

Answer:

Step-by-step explanation:

hdhdhdhdh

Answer:

The answer is

[tex]465 - 321[/tex]

Or;

[tex]456 - 312[/tex]

The regression equation y= - 0.434x+72.21 approximates the percent of people in an audience who finish watching a documentary, y, given the length of the film in minutes, x.

What percentage is the best prediction for the percent of people in an audience who will finish watching a documentary that is 27 minutes long? Round your answer to the hundredths place

Answers

Using the regression equation we can estimate that 60.49% of people will finish the documentary.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the associations between a regression model and one or more relationship between the independent variable.

Y is the variable (the variable that is plotted on the Y axis), X is the independent variable (i.e., it is displayed on the X axis), b is the slope of the line, and an is the y-intercept.The equation has the form Y= a + bX.

The equation is given as  Y= - 0.434X+72.21

At X=27 , the value of Y can be estimated as :

Y = -0.434 × 27 +72.21

or, Y = 60.492  

or, Y ≈ 60.49

Therefore 60.49  % is the best prediction  of people will watch the documentary completely.

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Suppose that the function g is defined, for all real numbers, as follows.
Find g (-2), g (1), and g (4).

Answers

The values of the functions, when g is defined for all real numbers is as follows:

g(-2) = -3

g(1) = 3

g(4) = 0

Given, the function g is defined for all real numbers.

g(x) = { 1x²/4 - 4    if x≠1

               3            if x=1 }

g(-2):

here, x = -2

where x ≠ 1

therefore, g(-2) = 1x²/4 - 4

substitute x as -2

g(-2) = 1(-2)²/4 - 4

g(-2) = 4/4 - 4

g(-2) = 1 - 4

g(-2) = -3

g(1):

here, x = 1

where x = 1

therefore, g(1) = 3

g(4):

here, x = 4

where x ≠ 1

therefore, g(4) = 1x²/4 - 4

substitute x as 4

g(4) = 1(4)²/4 - 4

g(-2) = 16/4 - 4

g(-2) = 4 - 4

g(-2) = 0

Hence we get the values of g(-2), g(1) and g(4) as -3,3 and 0 respectively.

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Morgan had $1,679 in her savings account. After one year, her balance increases by 26. How much does Morgan have in her account now?

Answers

Morgan had $1,679 in her savings account. After one year, her balance increases by 2%. How much does Morgan have in her account now?

Remember that

100%+2%=102%=102/100=1.02

so

Multiply the original amount by the factor 1.02

1,679*(1.02)=$1,712.58

answer is

$1,712.58

which equation represents the line that passes through the points -3 7 and 9 -1

Answers

EXPLANATION

Given ordered pairs: (-3,7) and (9,-1)

(x1,y1) (x2,y2)

The equation that represents the line that passes through the points will be given as:

y = mx + b

First, we need to calculate the slope:

[tex]\text{Slope = }\frac{(y2-y1)}{(x2-x1)}=\frac{(-1-7)}{(9-(-3))}=\frac{(-8)}{(12)}=-\frac{2}{3}[/tex]

Now, taking either one pair, we can calculate the value of b in this way:

[tex]7=-\frac{2}{3}(-3)\text{ + b}[/tex][tex]7=\frac{6}{3}+b[/tex]

Simplifying:

[tex]7\text{ = }2\text{ + b}[/tex]

Clearing b:

[tex]7-2=5=b[/tex]

Finally, the equation will be:

[tex]y=-\frac{3}{2}x+5[/tex]

what is 2(9n-1)+7n+6= -60

Answers

n = -2.56

Explanation:

2(9n-1)+7n+6= -60​

The first thing we do is expand the parenthesis:

2× 9n - 2×1 + 7n + 6 = -60

18n -2 + 7n + 6 = -60

collect like terms:

18n + 7n -2 + 6 = -60

25n + 4 = -60

Subtract 4 from both sides:

25n + 4 -4 = -60 - 4

25n + 0 = -64

25n = -64

divide both sides by 25:

25n/25 = -64/25

n = -2.56

A 2 1/2-pound box of frozen corn costs $1.65. How much does a 4-ounce serving cost?

Answers

Given data:

The given cost of 2 1/2 pound of box is $1.65.

The given expression can be written as,

[tex]\begin{gathered} 2\frac{1}{2}\text{ lb=1.65} \\ 2.5\text{ lb=1.65} \\ 1\text{ lb(}\frac{16\text{ ounce}}{1\text{ lb}})\text{ =0.66} \\ 16\text{ ounces=0.66} \\ \frac{1}{4}\times16\text{ ounces=}\frac{1}{4}\times\text{0.66} \\ 4\text{ ounces=0.165} \end{gathered}[/tex]

Thus, the cost of 4 ounces is $0.165.

The ratio of students who play video games to those who don't play video games if 7:2. If a class has 126 students that play video games, how many students do not play video games?

Answers

Answer:

98 students play videogames

28 students dont play videogames

Step-by-step explanation:

we have to make n equation using 7:2=126 so we are going to intaduce x witch will give us 7x+2x=126

9x=126 then we divide it with 9 witch gives us x=14 then we multiply x by 7 and agen x by 2

EM bisects ZDEF and mZDEF = 83.6°. Find mZDEM and mZMEF. mZDEM mZMEF

Answers

Answer:

[tex]\begin{gathered} m\angle DEM=41.8^{\circ} \\ m\angle MEF=41.8^{\circ} \end{gathered}[/tex]

Explanation:

See the below image;

From the above image, we can see that line EM is the bisector of angle DEF and we know that an angle bisector always splits an angle into two equal angles.

Given m[tex]\begin{gathered} m\angle DEM=\frac{83.6}{2}=41.8^{\circ} \\ m\angle MEF=\frac{83.6}{2}=41.8^{\circ} \end{gathered}[/tex]

Hello! I'm stuck here. I've tried solving it and I'm not getting any of the answers.

Answers

We have the cost function C(d) and the revenue function R(d) as:

[tex]C(d)=10500+3.9d[/tex][tex]\begin{gathered} R(d)=d(14.5-0.00003d) \\ R(d)=14.5d-0.00003d^2 \end{gathered}[/tex]

The profit can be defined as the difference between the revenue and the cost, so we can express it as:

[tex]\begin{gathered} P(d)=R(d)-C(d) \\ P(d)=(14.5d-0.00003d^2)-(10500+3.9d) \\ P(d)=-0.00003d^2+14.5d-3.9d-10500 \\ P(d)=-0.00003d+10.6d-10500 \end{gathered}[/tex]

We can now evaluate it for d = 30,000 as:

[tex]\begin{gathered} P=-0.00003\cdot(30,000)^2+10.6(30,000)-10,500 \\ P=-0.00003\cdot900,000,000+318,000-10,500 \\ P=-27,000+318,000-10,500 \\ P=280,500 \end{gathered}[/tex]

Answer: the profit for 30,000 units is $280,500 [Fourth option].

All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number.1. Find the smallest dropdown number2. What are the smallest and largest 4-digit dropdown numbers? Please provide working out for a and b. Thanks.

Answers

Answer:

a) 102 is the smallest of the dropdown number

b) 1025 is the smallest dropdown number

c) 9874 is the largest 4-digit dropdown number

Explanation:

Given:

All digits in a dropdown number are different and one of its digits is the average of all its digits.

It has at least two digits.

To find:

a) the smallest dropdown number

b) the smallest and largest 4-digit dropdown numbers

a) From the information given, the numbers are at least two digits. This means the smallest of the digits from the dropdown is 2

We can't have 0 as the starting number because it will reduce the digits by 1. The list will start from the smallest to the highest since we are looking for the smallest number.

For two digits: 12, 13, 14, etc

We can only have a 2-digit number whose average is part of digits if the numbers are the same digit.

As a result, we will move to 3 digits.

For 3 dgits: 102, 103, 104, 105, etc

We will check if any of the above will have one of its digits as average

102: 1 + 0 + 2 = 3

Average = 3/3 = 1

One of the digits of this number is the average of the number.

Hence, 102 is the smallest of the dropdown number

b) To get the smallest 4 digit dropdown number, we will list from smallest to highest

For 4 digits: 1023, 1024, 1025, 1026, 1027, ...

We will check if any of the above will have one of its digits as average

1023: 1+0+2+3 = 6

Average = 6/4 = 1.5

1024: 1+0+2+4 = 7

Average = 7/4 = 1.75

1025: 1+0+2+5 = 8

Average = 8/4 = 2

One of the digits of this number is the average of the number.

Hence, 1025 is the smallest dropdown number

To get the largest 4-digit dropdown number, we will list from largest to smallest

For 4 digits: 9876, 9875, 9874, 9873, 9872, etc

We will check if any of the above will have one of its digits as average

9876: 9+8+7+6 = 30

Average = 30/4 = 7.5

9875: 9+8+7+5 = 29

Average = 29/4 = 7.25

9874: 9+8+7+4 = 28

Average = 28/4 = 7

One of the digits of this number is the average of the number.

Hence, 9874 is the largest 4-digit dropdown number

Joe owes John 16$ he tells
his four kids to pay off the dept.
How much will each kid
pay off?

Answers

Answer: $4

Step-by-step explanation:

First, why are you making yo kids pay yo debt?

Second 16/4=4

1/3 (2x - 1) = z for x

Answers

We need to solve the equation shown below for x:

[tex]\frac{1}{3}(2x-1)=z[/tex]

Using distributive propery, a(b - c) = ab - ac , we can simplify the left hand side:

[tex]\begin{gathered} \frac{1}{3}(2x)-\frac{1}{3}(1)=z \\ \frac{2}{3}x-\frac{1}{3}=z \end{gathered}[/tex]

We isolate the term with x and then divide the other side by 2/3 to get x = something...

[tex]\begin{gathered} \frac{2}{3}x-\frac{1}{3}=z \\ \frac{2}{3}x=z+\frac{1}{3} \\ x=\frac{z+\frac{1}{3}}{\frac{2}{3}} \end{gathered}[/tex]

To simplify it (reduce), we can divide both terms by (2/3) and simplify. Shown below:

[tex]\begin{gathered} x=\frac{z}{\frac{2}{3}}+\frac{\frac{1}{3}}{\frac{2}{3}} \\ x=z\times\frac{3}{2}+\frac{1}{3}\times\frac{3}{2} \\ x=\frac{3z}{2}+\frac{1}{2} \\ x=\frac{3z+1}{2} \end{gathered}[/tex]

The final answer:

[tex]x=\frac{3z+1}{2}[/tex]

AC Round your answer to the nearest hundredth. ? a А 3 70 B Show Calculator

Answers

We are given a right-angled triangle.

We are asked to find the length of the side AC

Recall from trigonometric ratios,

[tex]\tan \theta=\frac{\text{opposite}}{\text{adjacent}}[/tex]

With respect to the angle 70°, the adjacent side is 3 and the opposite side is AC

Square meters of ceiling | Number of tiles 1 | 10.75 10 | X what is the value of X?

Answers

We can find the number of tiles, using the next proportion:

[tex]\frac{1\text{ square meter}}{10\text{ }square\text{ meters}}=\frac{10.75\text{ tiles}}{x\text{ tiles}}[/tex]

Solving for x:

[tex]\begin{gathered} 1\cdot x=10.75\cdot10 \\ x=107.5\text{ tiles} \end{gathered}[/tex]

help meeeeeeeeeeeeeeeeeeeeeee




thank you

Answers

By evaluating the square root function in  x = 0 and x = 25/16 we will get:

f(0) = 0

f(25/16) = 5/4

How to evaluate the function?

Here we have the square root function:

f(x) = √x

And we want to evaluate this in x = 0 and x = 25/16.

Evaluating in zero we get the same than you got:

f(0) =√0 = 0

Evaluating in x = 25/16 we will get:

f(25/16) = √(25/16)

Remember that the square root can be distributed under division, so:

√(25/16) =  √(25)/√(16)

Now, we know that:

√25 = 5

√16 = 4

Then we can rewrite the quotient as:

√(25)/√(16) = 5/4

so f(25/16) = 5/4.

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21 cookies are shared equally among 3 girls. How many
cookies does each girl receive?

Answers

Answer:7

Step-by-step explanation: you divide the amount of cookies by the amount of girls

21/3=7

Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points) Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed

Answers

The answer will be 6

An object is traveling at a steady speed of 9 9/10 mi/h. ​ How long will it take the object to travel 2 1/10 miles? ​First round to the nearest integer to find the estimated answer. Then find the exact answer.

Answers

Answer:

See below

Step-by-step explanation:

Distance / rate = time

2  1/10 mi  /  9  9/10 mi/hr

21/10  /  99/10   = 21/99 hr =   12.73 minutes

     ZERO hr  if rounded to nearest integer hr  

   = 13 minutes as nearest integer minutes

      exact is   21/99 hr  = 7/33 hr

I got 190m but I need someone to check pls

Answers

Step 1: Write out the formula for the volume V of a rectangular based pyramid with height h base length l and base width w:

[tex]V=l\cdot w\cdot h[/tex]

Step 2: Write out the given values and substitue them into the formula to find the volume:

From the image, we can see that:

[tex]l=12m,w=5m,h=9.5m[/tex]

Therefore,

[tex]V=(12)\cdot(5)\cdot(9.5)=570m^3[/tex]

Hence the volume of the pyramid is 570m³

Answer:

190 m^3

Step-by-step explanation:

the volume of a pyramid is b * h * 1/3

the base is the bottom

5 * 12

that is 60

60 * the height * 1/3

60 * 9.5 * 1/3

we can first do 60 * 1/3

that is 20

20 * 9.5 = 190

that is the answer

youre correct!

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