misty is building a triangular plainting bed. two of the sides have lengths of eight feet and five feet. what are the possible lengths for the third side?

Answers

Answer 1

The remaining side is greater than |8-5| = 3 feet, and less than 8+5=13 feet

Answer 2

Final answer:

The length of the third side of the triangle Misty is building should be more than 3 feet and less than 13 feet, according to the Triangle Inequality Theorem.

Explanation:

This question pertains to the numerical properties of a triangle, in which two side lengths of the triangle are provided, specifically eight feet and five feet. The length of the third side of the triangle is not set, but it has certain parameters due to the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the possible lengths of the third side would be greater than the absolute difference of the two given sides (eight feet and five feet), and less than the sum of the lengths of the two given sides. Thus, the third side's length should be more than 3 feet (8 - 5) and less than 13 feet (8 + 5).

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Related Questions

Alan bought 3 pencils and a notebook. The notebook cost $6, and he spent a total of $12. How much did each pencil cost? Use p to represent the cost of each pencil. A. ; each pencil cost $2.50. B. ; each pencil cost $1.50. C. ; each pencil cost $2. D. ; each pencil cost $2.

Answers

So the pencils all together would be $6 so divide that by 3 and you get D as your answer each pencil costs $2

Cost of each pencil will be $2

What is Linear Equation ?

A linear equation is an equation in which the highest power of the variable is always 1 .

Number of pencil bought = 3

Number of notebook bought = 1

Cost of each notebook = $6

Cost of each pencil = ? let say its = x

Total money spent = $12

according to question , linear equation will be :

3* (x) + 1 * (6) = 12

3x = 6

x = 2

cost of each pencil will be $2

answer is d) $2

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wire the place of the underlined digit. then write it's value. 5,342 the 3 is underlines

Answers

hundreds place. three hundred

The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.5 hours and travels 25 miles.

What was her average speed?

Answers

Answer:

16 2/3

Step-by-step explanation:

The bicyclist's average speed was 16.67 miles per hour

The student asks about the average speed of a bicyclist who traveled for 1.5 hours and covered 25 miles. The average speed can be found using the formula v = d/t, which suggests speed (v) equals distance (d) divided by time (t). To solve for the bicyclist's average speed, we'll insert the given values into the formula.

Here's the step-by-step calculation:

Identify the given variables: d = 25 miles and t = 1.5 hours.

Substitute the values into the formula: v = 25 miles / 1.5 hours.

Calculate the quotient to find the average speed: v = 16.67 miles per hour (rounded to two decimal places).

Therefore, to find the bicyclist's average speed, divide the distance traveled, 25 miles, by the time spent, 1.5 hours, which yields an average speed of 16.67 miles per hour.

The Long family spent $38.62 for school supplies and $215.78 for new school clothes. They paid % sales tax on their

Answers

Final answer:

The Long family spent $38.62 for school supplies and $215.78 for new school clothes. To find the total amount spent, add the cost of school supplies and new school clothes. To calculate the sales tax, multiply the total amount spent by the sales tax rate.

Explanation:

To find the total amount spent, we need to add the cost of school supplies and new school clothes. The Long family spent $38.62 on school supplies and $215.78 on new school clothes, so the total amount spent is $38.62 + $215.78 = $254.40. Now, to calculate the sales tax, we need to find the percentage of the total amount spent. Let's assume the sales tax rate is 8%. To find the sales tax amount, we multiply the total amount spent by the sales tax rate as a decimal: $254.40 x 0.08 = $20.35.

0.059 seconds into milliseconds

Answers

the answer would be 59 miliseconds

Final answer:

0.059 seconds is equal to 59 milliseconds.

Explanation:

Unit conversion is the process of changing the measurement units of a quantity from one system to another. It is essential for comparing and working with measurements expressed in different units. Common examples include converting between metric and imperial units for length (e.g., meters to feet) or weight (e.g., kilograms to pounds).

Accurate unit conversion is crucial in fields like science, engineering, and international trade.Thus for the given case, 0.059 seconds is equal to 59 milliseconds.

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The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m.

Answers

Question: The expression -3m - [2m + (5 - m)] +7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answer may include:

If the expression has been simplified correctly, then the expressions will be equivalent.

The expressions will have the same value when numbers are substituted in for the variable m.

Choose a value for m and substitute in to both expressions.

Simplify each expression using the order of operations and show they are the same value.

The given expression is simplified correctly.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is -3m-[2m+(5-m)]+7

= -3m-2m-5+m+7

= (-3m-2m+m)-5+7

= -4m+2

= 2-4m

Hence, the given expression is simplified correctly.

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"Your question is incomplete, probably the complete question/missing part is:"

The expression -3m-[2m+(5-m)]+7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Suppose the cpi was 110 last year and is 121 this year. instructions: in part a, enter your answer as a whole number. in part b, round your answer to 1 decimal place. if you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers.
a. what is this year’s rate of inflation?

Answers

Final answer:

The rate of inflation from last year to this year is calculated by finding the 'change in CPI' which is then divided by the 'old CPI' and multiplied by 100 to convert it into percentage. The change in CPI is the new CPI minus the old CPI. By following the steps, we find that the rate of inflation is 10%.

Explanation:

To calculate the rate of inflation, we first need to determine the 'change in CPI', which will then be divided by the 'old CPI'. The formula is:

(New CPI - Old CPI) / Old CPI x 100%

The 'change in CPI' is the new CPI (this year's CPI) minus the old CPI (last year's CPI). This will be:

121 (this year's CPI) - 110 (last year's CPI) = 11

Now, we'll divide 'change in CPI' by old CPI, which is:

11 (change in CPI) / 110 (old CPI) = 0.1

To convert the value into percentage, we should multiply it by 100:

0.1 x 100 = 10

So, this year's rate of inflation is 10%.

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Using simple linear regression, calculate the trend line for the historical data. say the x axis is april = 1, may = 2, and so on, while the y axis is demand. (round your intercept value to the nearest whole number and slope value to 2 decimal places.

Answers

Given a table of historical demand for a product as follows:

[tex]\begin{tabular} {|c|c|} &Demand\\[1ex] April&60\\ May&55\\ June&75\\July&60\\August&80\\September&75\\ \end{tabular}[/tex]

The linear regression equation is given by

[tex]\hat{Y}=bx+a[/tex]

where:

[tex]b= \frac{n\Sigma xy-\Sigma x\Sigma y}{n\Sigma x^2-(\Sigma x)^2} [/tex]
and
[tex]a= \frac{1}{n} (\Sigma y-b\Sigma x)[/tex]

We calculate the required values using the following table, where
April = 1, May = 2, and so on.

[tex]\begin{tabular} {|c|c|c|c|} X &Y&X^2&XY\\[1ex] 1&60&1&60\\ 2&55&4&110\\ 3&75&9&225\\ 4&60&16&240\\ 5&80&25&400\\ 6&75&36&450\\[1ex] \Sigma X=21&\Sigma Y=405&\Sigma X^2=91&\Sigma XY=1,485 \end{tabular}[/tex]

Thus,

[tex]b= \frac{6(1,485)-21(405)}{6(91)-(21)^2} \\ \\ = \frac{8,910-8,505}{546-441} = \frac{405}{105} \\ \\ \approx3.86[/tex]

and

[tex]a= \frac{1}{6} (405-(3.86)(21)) \\ \\ = \frac{1}{6} (405-81)= \frac{1}{6} (324) \\ \\ =54[/tex]

Therefore, the trend line for the historical data is given by [tex]\hat{Y}=3.86x+54[/tex]

What side lengths should be used to model a rectangle with an area of x2 + 3x – 10 square units?
x – 5 and x + 2
x – 2 and x + 5
x and x + 3
x + 3 and x – 10

Answers

The side lengths of the rectangle are (x - 2) and (x + 5)

What are areas?

The area of a shape is the amount of space on the shape

The area of the rectangle is given as;

[tex]Area = x^2 + 3x - 10[/tex]

Expand the expression

[tex]Area = x^2 + 5x - 2x - 10[/tex]

Factorize the expression

[tex]Area = x(x + 5) - 2(x + 5)[/tex]

Factor out x + 5

[tex]Area = (x - 2)(x + 5)[/tex]

Hence, the side lengths of the rectangle are (x - 2) and (x + 5)

Answers

(lol were both doing unit rate rn im just pausing to do some brainly questions)

We know that Unit Rate can be found by dividing.
i think you want the answer right now so if you need an explanation then tell me in the comments
Its number A. Hope this helped!

sophia used 1/3 of an ounce of cheese to make 1/12 of a pound of pizza dough. How many ounces of cheese are needed to amke a pound of pizza dough

Answers

Sent a picture of the solution to the problem (s). When comparing two thing like these, use a proportion to solve for x (what you are missing).

if i need 5 tomatoes to feed 7 people, how many tomatoes do i need to feed 100 leople

Answers

5 - 7
10 - 14
15 - 21
20 - 28
25 - 35
30 - 42
35 - 42
40 - 56
45 - 63
50 - 70
55 - 77
60 - 84
65 - 91
70 - 98
75 - 105

105 with a little extra c:

41>6m-7 help please

Answers

41> 6m-7.
So, I added 7 to both sides and got 48>6m and then divided both sides by 6 to get 8>m or m<8.

Divide and write the result in standard form: 3-i/1+5i
A. 1/13 +8/13i
B. -1/13+8/13i
C. 1/13-8/13i
D. -1/13-8/13i

Answers

We are asked to write the following fraction of complex numbers in standard form: [tex]\displaystyle{ \frac{3-i}{1+5i} [/tex].

Whenever we are dividing by a complex number by another complex number a+bi, to write the result in standard form, we multiply the expressions in the numerator and denominator by the conjugate of a+bi, that is a-bi:

[tex]\displaystyle{ \frac{3-i}{1+5i}= \frac{(3-i)(1-5i)}{(1+5i)(1-5i)} [/tex]

in the numerator we distribute (3-i) to 1 and -5i, in the denominator we use the difference of squares formula [tex](a-b)(a+b)=a^2-b^2[/tex], and [tex]i^2=-1[/tex]:

[tex]\displaystyle{ \frac{(3-i)(1-5i)}{(1+5i)(1-5i)}= \frac{(3-i)\cdot1+(3-i)\cdot(-5i)}{1^2-(5i)^2}= \frac{3-i-15i-5}{1-25i^2}[/tex]

[tex]\displaystyle{= \frac{-2-16i}{1+25}= \frac{-2-16i}{26}=-1/13-(8/13)i [/tex]

Answer: D

Final answer:

The division of the complex numbers (3 - i) by (1 + 5i) results in the standard form -1/13 - 8/13i, by multiplying both the numerator and denominator by the conjugate of the denominator. The correct answer is option D.

Explanation:

To divide the complex number 3 - i by 1 + 5i, we should multiply numerator and denominator by the conjugate of the denominator to get rid of the imaginary part in the denominator:

Multiply both top and bottom by the conjugate of the denominator, which is 1 - 5i.

(3 - i) * (1 - 5i) = 3 - 15i - i + 5i2

Since i2 = -1, it simplifies to:

3 - 16i - 5 = -2 - 16i

(1 + 5i) * (1 - 5i) = 1 - 5i + 5i - 25i2

Similarly, it simplifies to:

1 + 25 = 26

Divide the top result by the bottom result:

(-2 - 16i) / 26 = -2/26 - 16i/26

Simplify the fractions:

-1/13 - 8/13i

The standard form of the result is -1/13 - 8/13i, which corresponds to option D.

An animal shelter that only cares for cats and dogs has 8 fewer dogs than cats. The animal shelter has 12 dogs.

Use the five-step problem-solving plan.

How many cats are at the animal shelter?

Answers

I'm not sure what you mean by the five step plan, but to get the answer, just think about the clues.

(c = number of cats)

8 fewer dogs than cats can be written: c - 8

since we know how many dogs there are: c - 8 = 12

Now, just solve for the variable: c = 20

Hope I helped :)

the length of a banquet table is 3 feet longer than 5 times it's width. if the perimeter is 54 feet. What are the dimensions of the table?

Answers

First set up the equations for the length:

5x + 3

Now, lets find the perimeter:

5x + 3 +5x + 3 + x + x = 54
12x + 6 = 54
12x = 48
x = 4

Hope this helps!

How to solve 5 x 198 with the distributive property that includes multiplication and subtraction

Answers

Re-write this problem (5 x 198) as (5)(200-2).

Then the answer is 5(200) - 5(2) = 1000 - 10 = 990.

Answer:

Value of 5×198 is:

990

Step-by-step explanation:

We have to find the value of 5 x 198 with the help of distributive property that includes multiplication and subtraction

Distributive property says that if a,band c are three numbers

then, a(b-c)= ab-ac

5 x 198= 5(200-2)

= 5×200 - 5×2

= 1000-10

= 990

Hence, Value of 5×198 is:

990

how do i solve it 1.2c=0.6

Answers

[tex]1.2c=0.6[/tex]

[tex]c= \dfrac{0.6}{2.1} [/tex]

[tex]c=0.5[/tex]

1.2c = 0.6

1.2c/1.2 = 0.6/1.2

c = 0.5

0.5 is your answer

hope this helps

Pablo is a technical writer who works 7.5 hours per day. He spends twice as much time on writing tasks as he does on other work tasks. How much time per day does he spend on writing tasks?

Answers

pablo spends 15 hours on writing tasks
answer: twice as much=2 times this number
then twice as much= 7.5 times 2
7.5 times 2= 15hrs

Round 915 to the nearest ten

Answers

the answer would be 920. hope that helped

Which is the fraction 14/5 written as mixed number?

Answers

Answer: 2 and 4/5

Step-by-step explanation: To write an improper fraction as a mixed number, divide the denominator into the numerator.

[tex]\sqrt[5]{14}[/tex] = 2 with a remainder of 4

Therefore, 14/5 can be written as the mixed number 2 and 4/5.

The fraction 14/5 written as a mixed fraction is equivalent to 2 4/5

Writing improper fraction as mixed fraction

Given the expression below:

14/5

Since 5 can go in 14 twice, the whole number of the mixed fraction will be 2.

Given the remainder as 4, the numerator will be 4 and the denominator will be the same that is 5 as shown below:

14/5 = 2 4/5

Hence the fraction 14/5 written as a mixed fraction is equivalent to 2 4/5

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What is 265888 rounded to nearest ten thousands

Answers

It would be 270,000. The 6 is higher then 5 so you round up

A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Seven-eighths of my cats plus five." How many cats does the nemesis have?

Answers

Final answer:

The question presents a riddle that can be solved by setting up and solving an algebra equation. Based on the provided information, the solution to the problem is that the nemesis has 40 cats.

Explanation:

The problem describes a riddle: "Seven-eighths of my cats plus five." This scenario is a typical mathematical representation of an algebra problem where you need to find the total number of cats.

Let us denote the total number of cats as 'C'. According to the riddle, 7/8 of the cats plus 5 equals the total cats. As per this, the equation can be written as 7/8*C + 5 = C. Solving this will lead us to find the number of cats.

Subtract 7/8*C from both sides of the equation: 5 = C - 7/8*C, which simplifies into: 5 = 1/8*C. To solve for 'C', we then multiply both sides of the equation by 8: 5*8 = C. Hence, the nemesis has 40 cats.

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Simplify 2(x + y) + 3(x + y)

Answers

Distribute
2x+2y+3x+3y

Combine like terms
5x+5y

Final answer: 5x+5y

ps Another way to do it is that know the two inner binomials are the same so you can write it as (2+3)(x+y) which simplifies to 5(x+y) and distributes to 5x+5y

Rewrite the equation so that y is a function of x 5y-2x=15

Answers

Add 2x on both sides and it becomes 5y=15+2x. Divide both sides by 5 and you get y=2/5x+3.

please help!!ASAP!!!!!!!

Answers

y + 7 = 5x is a linear function ... y = 5x - 7 (equation of a LINE which is LINE A R)

I put these all in my calculator and the linear equation is B. Y+7=5X

elizabeth plans to hand out door prizes as the guest arives. every 6th guest will receive a mug and every 9th guess will receive a t shirt . Elizabeth believe that the 12th guess will both receive a t shirt and a mug . is she correct or incorrect. show your work and explain your reasoning

Answers

Every 6th guest: 6, 12, 18, 24, and so on.
Every 9th guest: 9, 18, 27, 36, and so on.

18 appears in each of these lists; 12 does not. Elizabeth is wrong. The first person to receive both a t-shirt and a mug would be the 18th guest.

The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of 2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?

Answers

The answer is 8932. I'm pretty sure... Hope it helps

Answer:

mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

Step-by-step explanation:

The planet Mars has two moons Phobos and Deimos.

Mass of Phobos = 10.8 × 10¹⁵ Kilograms

Mass of Deimos = 2 × 10¹⁵ Kilograms

So the difference in the masses of the moons

= 10.8 × 10¹⁵ - 2 × 10¹⁵

= (10.8 - 2) × 10¹⁵

= 8.8 × 10¹⁵ Kilograms

Therefore, mass of Phobos is 8.8 × 10¹⁵ Kilograms greater than mass of Deimos.

If A=4-3i, M=-4+i, S=i, and$P=2, find A-M+S-P.

Please help!

Answers

assuming i=√-1

treat i as a variable

A-M+S-P=
(4-3i)-(-4+i)+(i)-(2)=
4-3i+4-i+i-2=
4+4-2-3i-i+i=
6-3i

The value of the A - M + S - P by using an arithmetic operation will be 6 + 3i.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

As per the given values,

A=4-3i, M= -4+i, S=i, and P=2

Put the above values into A - M + S - P as

4 - 3i - (-4 + i) + i - 2

⇒ 4 - 3i + 4 - i + i - 2

⇒ 4 - 2 + 4 - 3i

⇒ 6 + 3i

Hence "The value of the A - M + S - P by using an arithmetic operation will be 6 + 3i".

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Which value represents |7.8|?

Answers

Since absolute value is just taking the positive value of whatever you put in the function, it is 7.8 as well. Also, absolute value can be described as the distance from 0 on the number line. 7.8 is 7.8 "units" away from 0, thus meaning it is equal to 7.8.

The value of |7.8| is 7.8 because the absolute value of a number is the non-negative value of that number without regard to its sign.

The student has asked what the value of |7.8| is. The absolute value, denoted by the vertical bars, refers to the distance of a number from zero on the number line without considering direction. Therefore, the absolute value of 7.8 is 7.8 itself, regardless of any negative sign. It's because the absolute value of a positive number is the number itself, and the absolute value of a negative number is the positive version of that number.

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