Help please


David is building a triangular garden bed. He has boards that measure 3 feet, 2 feet, and 7 feet. Can he build his
triangular garden bed using these without cutting them? Explain.

Answers

Answer 1

Answer: No it's not possible to form a triangle

Why not? Because the shorter sides 2 ft and 3 ft don't add to a result longer than 7 ft

2+3 = 5

For a triangle to be possible, the sum of any two sides must be larger than the third side. Refer to the triangle inequality theorem.

Answer 2
Answer: No

Step-by-Step Explanation:

According to the Triangle Inequality Theorem, the Sum of 2 Sides of a Triangle should be greater than the Third Side.

Therefore,
3 + 2 = 5 (< 7) - Case 1
2 + 7 = 9 (> 7) - Case 2
3 + 7 = 10 (> 7) - Case 3

In the 1st Case, the sum of 2 sides is lesser than the third side. So he can’t build his triangular garden bed with boards of these measures without cutting them.

Related Questions

Use the Pythagorean Theorem to confirm the three sides of a right triangle.
3. a = 5, b = 12,c = 13
4. a = 4, b = 10,0 = 20

Answers

Answer:

3) confirmed right triangle

4) not a right triangle

Step-by-step explanation:

3) 5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

4) 4^2 + 10^2 = 20^2

16 + 100 = 400

116 does not equal 400

What is the length of side AB

What is the length of side AB

Answers

Answer:

5 units

Step-by-step explanation:

Using the distance formula:

\(AB=\sqrt{(-3-(-8))^2+(-6-(-6))^2}=\sqrt{5^2}=5\)

Hope this helps!

Write a compound interest formula for finding A,the amount in an account that earns interest compounded annually after t years, where Pis the principal and ris the annual interest rate expressed as a decimal.

Answers

Answer:

171

Step-by-step explanation:

it is 171

What is the value of -2 1/6 -1 1/4 + 1 3/4

a. -1 2/3
b. -1 1/3
c. 2 1/3
d. 2 2/3

Answers

answer: a.) -1 2/3
explanation: -2 1/6 - 1 1/4= -13/6 - 5/4= -41/12 ; 1 3/4= 7/4 ; -41/12 + 7/4= -5/3 ; -5/3= -1 2/3

At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?

Answers

Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, find each missing measure. fm=?

Answers

If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, then each missing measure fm=88 and ce=44.

What is the centroid ?

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

How do you find the centroid of a triangle with 3 points?

Step 1: Identify each vertex's coordinates.

Step 2: Add together and divide by three all the x values from the coordinates of the three vertices.

Step 3: Add together all the y values from the three vertices and divide the result by three.

Step 4: The centroid coordinate is determined from the values collected in stages 2 and 3.

the ratio of both segments is 2:1.

where;

am = 44 and dm = 23

the longer segment is double of shorter one:

2*23 = 46.

Therefore,

fm = 46-23

= <<23=23>>23

now finding ce:

= 2*44

= 88, so

ce measures

= 88-44

=44.

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24) IF area of quadrant of a circle is
38.5 sq.cm then diameter is *
O 7cm
O 14 cm
0 21 cm
O None of these

Answers

Answer:

none of these

Step-by-step explanation:

PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?

PLEASE HELP 25 MINUTES LEFT 38Marlene wrote an arithmetic sequence where al=8 and the common difference

Answers

Answer:

D

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 3 , then

\(a_{n}\) = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D

suppose that a family has 4 children.? also, suppose that the probability of having a girl is one half. find the probability that the family has no more than 3 boys.

Answers

The probability that a family with 4 children has no more than 3 boys is 15/16.

To find the probability that a family with 4 children has no more than 3 boys, we can use the binomial distribution.

The binomial distribution is used to calculate the probability of obtaining a certain number of successes (boys in this case) in a fixed number of trials (children in this case), where each trial has only two possible outcomes (boy or girl) and the trials are independent.

Let X be the number of boys in the family. We want to find P(X ≤ 3), which is the probability of having no more than 3 boys. Since the probability of having a boy is 1/2 and the trials are independent, we can use the binomial distribution formula:

P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (1/2)⁴ + 4(1/2)⁴ + 6(1/2)⁴ + 4(1/2)⁴

= 15/16

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find the area of the parallelogram. the figure is not drawn to scale 44 38 35

Answers

The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.

To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:

Area = side1 * side2 * sin(angle)

Plugging in the values, we have:

Area = 44 * 38 * sin(35 degrees)

To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.

Area = 44 * 38 * sin(0.610865)

Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.

Area = 44 * 38 * 0.5815

≈ 1008.77 square units

Therefore, the area of the parallelogram is approximately 1,008.77 square units.

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Hi children pls find the area of this shape answer will get brainliest

Hi children pls find the area of this shape answer will get brainliest

Answers

Answer.

Answer is 9

Step-by-step explanation:

Multiply height by with.

1,1x8,1

then do whatever that equals times 2,5 and you should get your answer.

Nolan drops a ball from a certain height and allows the ball to bounce. The rebound height can be modeled by the function f(x) = 12(1/3)x. What is the initial height?

Answers

Therefore , the solution of the given problem of function comes out to be Nolan dropped the ball from a height of 12 units at the beginning.

What is meant by the word function?

The study of mathematics includes numbers, symbols, and their parts, as well as anatomy, building, and both actual and hypothetical geographic locations. The relationships between different components, each of which has a corresponding result, are described by a function. A function is made up of a variable of distinct components that, when put together, produce specific results for each input.

Here,

Assume that h represents the original height at which Nolan threw the ball. The object bounces once and rises to a height of 4, so after the bounce it has a height of h + 4.

=> h = k f(1) (1)

where k is a constant that denotes how much energy the object retains after each bounce.

=> h = k(4) (4)

The knowledge that the ball returns to a height of 4 on the first bounce must be used to determine the value of k:

=> 4 = k f(1) (1)

=> 4 = k (4/3)

=> k = 3

When we put this number of k back into the equation as a replacement for h, we get:

=> h = k(4) = 3(4) = 12

Nolan dropped the ball from a height of 12 units at the beginning.

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if there are a few very small values in a data set compared to the rest of the data, the mean will be larger than the median. True/False ?

Answers

The given statement would be False.

What is Mean and Median ?

Mean: A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. Median: When a data collection is ordered from least to largest, the median is the midway value.

If there are a few very small values in a data set compared to the rest of the data, the median will be larger than the mean.

The median is the middle value in a set of data and is not affected by extreme values, while the mean is the average of all values in the data set and is influenced by extreme values.

Therefore, The given statement would be False.

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Midpoint Between Two Given Points
Find the midpoint of the line segment with the endpoints
(-4, -9) and (6, -5).
Midpoint =

Answers

Answer:

(1, -7)

Step-by-step explanation:

the difference between -4 & 6 is 10 so you add 5 (half) to -4 or subtract from 6, this gives you 1

you do the same for -9 and -5, the midpoint for those being -7, I hope this helps

Michelle has half of her investments in a stock paying 9% dividend and the other half in a stock paying 11% interest if her total annual interest is 430 how much does she have invested?

Michelle has half of her investments in a stock paying 9% dividend and the other half in a stock paying

Answers

Let the amount he invested at 9% = x

Let the amount he invested at 11% = y

He invested the same amount in both stocks, so x=y

Interest(i)=principle(p)*rate(r)*time(t), but unless they specify that the time is different than one, i=p*r.

So the amount of interest he gets at 9%= 0.09x

The amount of interest he gets at 11% = 0.11y

Add the two together and your interest is=430

Therefore your system of linear equations is:

x=y

0.09x + 0.11y=430

----------------Substitute the first equation into the second and you have:

0.09x+0.11(x)=430

0.2x=430

0.2x/0.2=430/0.2

x = $2,150 (the amount he invested at 9%)

y=x so y=$2,150 (the amount he invested at 11%)

Add the two investments together to find out how much he invested all together:

$2,150+$2,150 = $4,300 is the amount he has invested altogether.

Therefore the amount he invested on each are $2150 and $2150, while the total investment altogether = $4300

A jewelry store is selling a set of 4 pairs of gemstone earrings for $58, including tax. Neva and three of her friends want to buy the set so each could have one pair of earrings. Write a multiplication equation to find how much each person should pay.

Answers

Answer:

183

Step-by-step explanation:

tax would bring it up about 2/3 dollars

Brainliest pls

A farmer sells 7.1 kilograms of apples and pears at the farmers market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmers market?

Answers

answer:

4.6 kilograms of pears

question:

I don't know if you meant 2.5 or 25 but ill assume you meant 2.5

PLEASE HELP I DON'T UNDERSTAND

Simplify by adding like terms. Write the answer with all exponents positive​

PLEASE HELP I DON'T UNDERSTANDSimplify by adding like terms. Write the answer with all exponents positive

Answers

Answer:

Step-by-step explanation:

\(\dfrac{3m^{-1}y^{2}}{m^{-2}}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{my^{2}}{m^{-1}x^{2}}\\\\=3m^{-1-[-2]}y^{2} - \dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{1-[-1]}y^{2}}{x^{2}}\\\\=3m^{-1+2}y^{2}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{1+1}y^{2}}{x^{2}}\\\\=3my^{2}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{2}y^{2}}{x^{2}}\\\\=3my^{2}-\dfrac{4m^{2}y^{2}}{x^{2}}\)

PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:

PLEASE HELP Write equations of the horizontal and vertical lines that pass through the givenpoint.12.

Answers

Answer:

horizontal line: y=-4

vertical line: x=-3

Step-by-step explanation:

This one is simple. all you need to do is look at the x and y in the ordered pair.

Horizontal goes left and right so it's for y

Vertical goes up and down so it's for x

let me know if you need more explaining :)

find a power series representation for the function f(x)=x/(1+4x)^2

Answers

the power series representation for f(x) is:

f(x) = ∑((-1)^n * 4^n * x^(n+1)), n=0 to infinity.

To find the power series representation of f(x), we will use the geometric series formula:

1 / (1 + t) = 1 - t + t^2 - t^3 + ...

We start by factoring the denominator of f(x):

f(x) = x / (1+4x)^2 = x / (1 + 8x + 16x^2)

We can rewrite the denominator as:

1 + 8x + 16x^2 = (1 + 2(2x))^2

Using this, we can write:

f(x) = x / (1 + 2(2x))^2

We can now substitute t = -2x into the geometric series formula to get:

1 / (1 + (-2x)) = 1 + (-2x) + (-2x)^2 + (-2x)^3 + ...

Substituting t = -2x into the formula gives:

f(x) = x / (1 + 2(2x))^2 = x / (1 + (-2x))^2 = x (1 + (-2x) + (-2x)^2 + (-2x)^3 + ...)^2

We need to square the series because the denominator is squared. Simplifying, we get:

f(x) = x (1 - 4x + 4x^2 - 4x^3 + ...) = x - 4x^2 + 4x^3 - 4x^4 + ...

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What is 9.4 divide. By 4 equal

Answers

Answer:2.35

Step-by-step explanation:

The value of the expression is 2.35.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

9.4 ÷ 4

= 9.4/4

= 94/(10 x 4)

= 94/40

= 2.35

Thus,

The value of the expression is 2.35.

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which of the following is the reciprocal of 5

which of the following is the reciprocal of 5

Answers

Answer:

C

Step-by-step explanation:

The reciprocal is always the number flipped over.

E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9

Answer:

C. 1/5

Step-by-step explanation:

Assume that a real estate investor that rents for $2,000 per month. Which payment plan would the nvestor prefer for the current 12-month lease? payment of $2,000 at the first of each month upfront payment of $24,000 payment of $2,000 at the end of each month payment upfront of $12,000 and $12,000 half-way through the lease

Answers

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

Find the scale factor of the dilation

Find the scale factor of the dilation

Answers

Answer:

The scale factor is 1/2

Step-by-step explanation:

The coordinates of Point G are (4,6) and the coordinates of Point G' are (2,3). To get from 4 to 2 and 6 to 3, you have to multiply by 1/2. Therefore, the scale factor is 1/2.

I need help with number 42 please

I need help with number 42 please

Answers

Answer:

yes, it’s proportional

Step-by-step explanation:

Problem 8: [15 pts] Solve the following IVP using Laplace transform y"-4y' + 3y = 0, y(0) = 1, y'(0) = 2

Answers

The solution to the given initial value problem (IVP) using Laplace transform is y(t) = e^t + e^(3t).

To solve the IVP using Laplace transform, we first take the Laplace transform of the given differential equation and apply the initial conditions.

Applying the Laplace transform to the differential equation y"-4y' + 3y = 0, we get s²Y(s) - sy(0) - y'(0) - 4(sY(s) - y(0)) + 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t).

Using the initial conditions y(0) = 1 and y'(0) = 2, we substitute the values into the equation above. This yields the equation s²Y(s) - s - 2 - 4(sY(s) - 1) + 3Y(s) = 0.

Simplifying the equation, we obtain (s² - 4s + 3)Y(s) = s + 2 + 4.

Solving for Y(s), we have Y(s) = (s + 6) / (s² - 4s + 3).

Using partial fraction decomposition, we can express Y(s) as Y(s) = A / (s - 1) + B / (s - 3).

Solving for A and B, we find A = 3 and B = -2.

Therefore, Y(s) = 3 / (s - 1) - 2 / (s - 3).

Applying the inverse Laplace transform, we obtain y(t) = e^t + e^(3t).

Thus, the solution to the given IVP is y(t) = e^t + e^(3t).

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What is the product of `4` and `-2x + 3`?

Answers

9514 1404 393

Answer:

  -8x +12

Step-by-step explanation:

The distributive property can help you simplify the product.

  (4)(-2x +3) = (4)(-2x) +(4)(3) = -8x +12

The table below shows the cost for different numbers of tickets.

Based on the information in the table, which of the following statements is true?

The table below shows the cost for different numbers of tickets.Based on the information in the table,

Answers

Answer:

D

Step-by-step explanation: It's not going up by 6 or 2, and it's not going down in numbers, so D

What’s an algaberic expression for 7 more than a number p

Answers

Answer:

Step-by-step explanation:

Writing Algebraic Expressions

Writing Algebraic Expressions

Group workProblem: Ms. Jensen likes to divide her class into groups of 2. Use mathematical symbols to represent all the students in her class.

Solution: Let g represent the number of groups in Ms. Jensen's class.

Then 2 · g, or 2g can represent "g groups of 2 students".

In the problem above, the variable g represents the number of groups in Ms. Jensen's class. A variable is a symbol used to represent a number in an expression or an equation. The value of this number can vary (change). Let's look at an example in which we use a variable.

Example 1: Write each phrase as a mathematical expression.

Phrase Expression

the sum of nine and eight 9 + 8

the sum of nine and a number x 9 + x

The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a value that can change. If x is 2, then the expression 9 + x has a value of 11. If x is 6, then the expression has a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working solely with algebraic expressions.

Example 2: Write each phrase as an algebraic expression.

Phrase Expression

nine increased by a number x 9 + x

fourteen decreased by a number p 14 - p

seven less than a number t t - 7

the product of 9 and a number n 9 · n   or   9n

thirty-two divided by a number y 32 ÷ y   or    

In Example 2, each algebraic expression consisted of one number, one operation and one variable. Let's look at an example in which the expression consists of more than one number and/or operation.

Example 3: Write each phrase as an algebraic expression using the variable n.

Phrase Expression

five more than twice a number 2n + 5

the product of a number and 6 6n

seven divided by twice a number 7 ÷ 2n   or    

three times a number decreased by 11 3n - 11

bonusExample 4: A small company has $1000 to distribute to its employees as a bonus. How much money will each employee get?

Solution: Let e represent the number of employees in the company. The amount of money each employee will get is represented by the following algebraic expression:

electricianExample 5: An electrician charges $45 per hour and spends $20 a day on gasoline. Write an algebraic expression to represent his earnings for one day.

Solution: Let x represent the number of hours the electrician works in one day. The electrician's earnings can be represented by the following algebraic expression:

Solution: 45x - 20

Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please

Answers

Answer:

200 box 1 / 400 box 2

box 2 Step-by-step explanation:

200 + 400 = 600

Answer:

Hello asuna here

600 would be your answer

Step-by-step explanation:

Hope this helps

Other Questions
Last week, Alex took 90 selfies and Vic took 75 selfies. Today,they each decided that some of these selfies were not very goodand deleted them. Alex deleted three times as many selfiesas Vic. Now, Alex has half as many selfies as Vic. How manyselfies did Alex delete?PLEASE HELP ASAP A multiple channel queuing system with a Poisson arrival rate, and an exponential service time distribution has an average arrival rate of 4 customers per hour and an average service time of 18 minutes per customer. A queuing system is described as unstable or overloaded if its utilization rate is greater than or equal to 1. For the system just described, what is the minimum number of servers required to retain stability i.e., to avoid overloading? (a) 1 (b) 2 (c) 3 (d) 4 unlike the barcode-based tracking system, a radio frequency identification system offers a . your task is to take this and construct a graphical representation of the data. in doing so, you determine that as the price of almonds rises, the quantity of almonds demanded decreases. this confirms the when your customer raises an objection during your product presentation, the first thing you should do is: a. thank them and then ignore the objection. b. explain what others have found when they felt that way. c. present another feature and benefit of your product. d. ask questions about the objections if you are an investor looking for ancient sand and gravel deposits for construction materials, why would you look for these resources in a different site from the current stream location?a. degradation b. lateral migration c. headward migration d. corrosion If the distance between two foci of a moon's orbit is 3.7, and the length between the major axis is 7.6; calculate the eccentricity of the moon's orbit. What have been the benefits of NAFTA? Who has benefited?Help! how are the diameter and circumference related Interest = $45Principal = ?Interest rate = 3%Time = 2 years HELP!!!! 50PTS!!! AND WILL BE MARKED BRAINLIEST!!!!Based on the information in the data table and the cladogram shown below, which of the following best describes the evolutionary history of lizards? (4 points) Amniotic membrane Bipedal locomotion Hair Jaws Lack of tail LungsGorilla X X X X X XHuman X X X X X XLamprey Leopard X X X X XLizard X X XSalamander X XShark X Image depicts a cladogram with lamprey, shark, salamander, lizard, leopard, gorilla, and human represented. Shark diverges from lamprey with the introduction of jaws. Salamander diverges from shark with the introduction of lungs. Lizard diverges from salamander with the introduction of amniotic membrane. Leopard diverges from lizard with the introduction of hair. Gorilla diverges from leopard with the absence of a tail. Human diverges from gorilla with bipedal locomotion. They are more closely related to lampreys than they are to leopards.They evolved into a separate species as a result of the presence of an amniotic membrane.They have jaws and lungs but lack an amniotic membrane.They share a more recent common evolutionary ancestor with salamanders than they do with sharks. I think is D 14. When starting your research process, what activity should you avoid?O A. DraftingO B. ReadingC. BrowsingO D. Editing an estimation has been made that the construction of a large power plant will cost a certain amount per square foot of facility footprint. this is an example of what type of estimating? How did slaves resist the institution of slavery?Select all that apply. slowed their work pace took longer breaks pretended to be sick broke tools f(x) = 12x + 10 is a function which can used to to calculate a person's daily paycheck.Which would be a reasonable domain for this function?A: all real numbersB: 0C: 0D: 0 I seem to be having problems on this question please help me thank you Occasionally earthquakes occur as a result of collisions along oceanic-continental convergent boundaries. Where do these earthquakes most likely occur?on land but close to oceansinland, far from the coastin the middle of the oceansanywhere there are mountains Hahn Manufacturing is expected to pay a dividend of $1.00 per share at the end of this year. The stock currently sells for $45 per share, and its required rate of return is 11%. The dividend is expect to grow at a constant rate, g, forever. What is Hahn's expected growth rate?a. 8.50%b. 9.50%c.10.00%d. 8.00%e.9.00% Evaluate the expression (-2 3/4 + -1/3)^2 + 4/9 x 3/16 Describe one way that the events of the 1970s influenced American culture.