(Due in 20 minutes)
The three side lengths of four triangles are given. Which triangle is a right triangle?

Triangle 1: √13, 6, 7


Triangle 2: 7, 8, 13


Triangle 3: 10, 11, 12


Triangle 4: √10, 9, 8

Answer:

I think the volume would be 490π in^3

Step-by-step explanation:

V = π7^2*10

π*49*10 = 490π

answer-b

explaiation- because the other person said it

Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

The slope of AB = 1 and midpoint of AB =  (h/2, h/2)

The slope of BC = -1 and midpoint of BC = (3h/2, h/2)

The slope of AC = 0  and midpoint of AC = (h, 0)

The formula used to find the slope with two points is given by  

where (x₁, x₂) and (y₁, y₂) are two which passes through the line

The formula used to find the midpoint of a line with 2 points is given by  

where (x₁, x₂) and (y₁, y₂) are two endpoints of the line

Given that

A(0,0), B(h,h) and C(2h, 0) are vertices of triangle  

the side of the triangle will be AB, BC, and AC

Now find the Slope and midpoint of the sides as given below

Slope and Midpoint of AB:

Here A(0, 0) and B(h, h)

The slope of AB, m = (h - 0) / (h - 0) = h/h = 1

The midpoint of AB = [(0 + h)/2, (0 + h)/2 ]= (h/2, h/2)

Slope and Midpoint of BC:

Here B(h, h) and C(2h, 0)

The slope of BC, m = (0 - h) / (2h - h) = -h/h = -1

The midpoint of BC =  [(h + 2h)/2,  (0 + h)/2 ] = (3h/2, h/2)

Slope and Midpoint of AC:

Here A(0, 0) and C(2h, 0)

The slope of AC, m =  (0 - 0) / (2h - 0) =  0/2h = 0      

The midpoint of AC = [(0 + 2h)/2, (0 + 0)/2 ]= (h, 0)

Therefore,

The slope of AB = 1 and midpoint of AB =  (h/2, h/2)

The slope of BC = -1 and midpoint of BC = (3h/2, h/2)

The slope of AC = 0  and midpoint of AC = (h, 0)

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Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

In general, if the range of a function is y≥−1, its inverse has a domain of y≥−1. So, the range of the inverse of the cubic root function is y≥−1.

The range of a cubic root function becomes the domain of a cube function and vice versa since a cubic root function is an inverse function of a cube function. Therefore, the cube function's range is x3 if the cubic root function's domain is x3.

A function's inverse typically has a domain of y1 if its range is y1. Therefore, y1 is the domain of the inverse of the cubic root function.

Describe a function.

A function is a mathematical relationship between a domain—a set of inputs—and a range—a set of outputs. Each input in the domain is given a distinct output, known as the function value, by a function. An equation or graph can be used to depict the function value.

A function is typically represented symbolically by an equation that describes the relationship between the inputs and outputs and a letter, like f or g, as well as the letter. For instance, the equation of a function that accepts a value of x as input and produces its square is f(x) = x2.

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We need to find the cost per liter for Coca and Pepsi and compare both solutions in order to answer the question.

In the first case (coca case), we have

then, we have

By rounding down, 1 liter of coca cost $1.03.

In the secon case (pepesi case), we have

hence, x is equal to

By rounding down, 1 liter of pepsi cost $1.25.

By comparing both solutions, we can see that Coca has a better price because $1.03 is less than $1.25.

Answer:

(a) The deposits to be 21.68, 42.09, and 65.44 and the withdrawals to be -4.64, -23.11 and -9.78

(b) \(Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44\)

(c) \(Final\ Balance = \$219.68\)

Step-by-step explanation:

Given

Deposits:  $21.68, $42.09, and $65.44

Withdrawals: $4.64, $23.11 and $9.78

Solving (a): Write out the deposits as positive and the withdrawals as negatives

From (given) above, we have

The deposits to be 21.68, 42.09, and 65.44

and

The withdrawals to be -4.64, -23.11 and -9.78

Solving (b): Order from least to greatest.

Since the withdrawals are negative, the arrangement will start from there because negative numbers are lesser than positives.

Arranging the withdrawals from least to greatest, we have:

-23.11, -9.78, -4.64.

Arranging the deposits from least to greatest, we have:

21.68, 42.09, 65.44

Combine both together;

\(Order: -23.11, -9.78, -4.64, 21.68, 42.09, 65.44\)

Solving (c):

\(Initial\ Balance = \$128\)

Required

Determine the final balance

First we need to get the total deposits:

\(Total\ Deposits = \$21.68 + \$42.09 + \$65.44\)

\(Total\ Deposits = \$129.21\)

Next, we determine the total withdrawals:

\(Total\ Withdrawals = \$4.64 + \$23.11 + \$9.78\)

\(Total\ Withdrawals = \$37.53\)

The final balance is then calculated as:

\(Final\ Balance = Initial\ Balance + Total\ Deposits - Total\ Withdrawals\)

\(Final\ Balance = \$128 + \$129.21 - \$37.53\)

\(Final\ Balance = \$219.68\)

Answer: 22 minutes

Step-by-step explanation: m + 2m + m + 7 = 4m + 7

4m + 7 = 50

4m = 44

m = 11

2m = 11 x 2 = 22 minutes

A rational number between 8/10 and 1/8 is 37/80.

We know that a rational number between two rational numbers can be given by finding the average of the two given numbers:

The numbers are 8/10 and 1/8.

Let's simplify the fractions first:

8/10 = 4/5 (dividing both numerator and denominator by 2)

1/8 = 1/8 (already in simplest form)

Average = \((\frac{4}{5} + \frac{1}{8})/2\)

              = \((\frac{(4*8) + (5*1)}{40} )/2\)

             = \((\frac{37}{40}) /2\)

             = \(\frac{37}{80}\)

So, the rational number halfway between 8/10 and 1/8 is 37/80.

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The union consists of all of the elements that are contained in each interval.

Inequality Form:

x<6

Interval Notation:

(−∞,6)

Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

Answer:

  0.12453300... (the number that goes in the blank)

Step-by-step explanation:

If we let x represent the value that goes in the blank, then we have ...

  x% · 803 = 1

Dividing by 803, we get ...

  x% = 1/803 ≈ 0.00124533...(8-digit repeating decimal)

Multiplying the right side by 100% gives ...

  x% = 0.124533%

_____

Additional comment

The rules of equality require we perform the same operation on both sides of the equal sign. Some operations do not change the value of the number, just its form. We know 100% = 1, and multiplying by 1 does not change a number's value. This means we can multiply one side of the equation by 100% without having to do the same thing on the other side.

803 does not have any factors of 2 or 5, so the decimal representation of its reciprocal will repeat. It happens to have an 8-digit repeat.

The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.

Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:

(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)

Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:

Six runs were scored by Kim's squad in the first four innings.

The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:

Eight innings times the number of runs per inning is eight runs for Kim's team overall.

Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:

The other team scored a total of 17 runs.

Combining everything, we may represent the inequality as follows:

Total runs scored by Kim's team surpasses all other teams' total runs.

8p + 6 > 17

When we reduce the inequality, we obtain:

8p > 11

When we multiply both sides by 8, we get:

p > 11/8

In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.

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Answer:

6+4p>17

Kim's team scored a minimum of

3 runs per inning.

Step-by-step explanation: Khan Academy

Answer:

table A and Graph A

Step-by-step explanation:

Because table A u need to do rise/ run

4+4=8  8+4= 12 and  1+1 =2 2+1=3    so  4/1 =4

graph A graphs 4x but B doesn't

Answer:

$28.8

Step-by-step explanation:

6x32=192

15% of 192 is 28.8

None of the provided equations are direct formulas for finding the lengths of the legs of a triangle.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals symbol ("="). For illustration, 2x - 5 Equals 13.

Here,

5 and 13 are phrases for 2x.

FROM THE QUESTION?

The number of x, which is one of the lengths of a right triangle's legs, can be determined by solving the quadratic equation \(0.5(x)(x+2)=24\) . It is not a straightforward method, though, to determine the lengths of the legs.

It is possible to simplify and calculate the quadratic equation \(x(x+2)=24\) to determine the values of x, which correspond to the lengths of a rectangle whose area is 24. Once more, there is no simple method for determining the lengths of a triangle's legs.

You can simplify and calculate the equation \(x^2+(x+2)2=100\) to determine the value of x, which is one of the lengths of a right triangle's legs. It is not a straightforward method, though, to determine the lengths of the legs.

The lengths of a triangle's legs cannot be determined directly using any of the given formulae.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

64

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(10 - 2)² + (5 - 10 ÷ 2)

Step 2: Evaluate

Answer:

64

Step-by-step explanation:

Parenthesis

8^2 + (5 - 5)

8^2 + 0

64

Answer:

min: 56

lower quartile: 70

median: 74

upper quartile: 80

max: 86

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

Answer:

-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

If we see the picture, we can see a line (from this perspective). The plane passes through the cones' vertex and it is perpendicular to its base. The intersection is a line if we see this intersection in this way.

Therefore, the answer to this question is a single line (option D).

Answer:

(a) The total cost C of owning the truck after t days can be expressed as the sum of the purchase price and the maintenance cost over the number of days of ownership:

C(t) = 17500 + 4.75t

(b) The revenue R when the truck has been rented for t days can be expressed as the rental rate times the number of days rented:

R(t) = 55t

(c) The profit after t days is given by the equation P(t) = R(t) - C(t). Substituting the expressions for R(t) and C(t) from parts (a) and (b), we get:

P(t) = 55t - (17500 + 4.75t)

Simplifying,

P(t) = 50.25t - 17500

(d) The company will break even when the profit is zero. So, we need to solve the equation P(t) = 0 for t:

50.25t - 17500 = 0

Solving for t, we get:

t = 348.26

Rounding to the nearest day, the company will break even after 348 days of use

Answer: 113

Step-by-step explanation:

The median is the dot with the line through it in the middle of the box: so it is 113

Answer:

A, c(x)=5+21x

Step-by-step explanation:

`

Answer:

1. f (2) = 3 x 2^x-1  

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

3. f (10) =​ 3 x 2^x/10

Step-by-step explanation: