A right triangle has sides such that one ot the sides is one inch shorter than the hypotenuse and one inch
longer than the shortest side. What are the dimensions ot the triangle?

The work done by the force of 150 N, acting at a 40° angle to the direction of motion, in moving an object from point A(2,2) to point B(22,5) is 4950 Joules.

To calculate the work done by a force, we use the formula W = F ⋅ d, where W represents work, F is the force vector, and d is the displacement vector. The dot product of two vectors is given by the formula A ⋅ B = |A| |B| cos(θ), where θ is the angle between the vectors.

First, we need to calculate the displacement vector d. Given the points A(2,2) and B(22,5), we can find the difference between their x-coordinates and y-coordinates to obtain d = (Δx, Δy) = (22-2, 5-2) = (20, 3).

Next, we calculate the magnitude of the force vector F using the given value of 150 N.

The dot product of F and d is then calculated as F ⋅ d = |F| |d| cos(θ), where θ is the angle between F and d. Since the angle is given as 40°, we can substitute the known values into the formula and solve for the work done.

Finally, we substitute the values into the formula: W = (150 N) (20) cos(40°) = 4950 Joules.

Therefore, the work done by the force is 4950 Joules.

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The percentage error in measuring the line segment is 4%. The correct option is (4)4%.

The actual length of the line segment is 5 cm, but it was measured as 5.2 cm, which is 0.2 cm more than the actual length.

The percentage error in measuring the line segment can be calculated as follows:

Percentage error = (Error / Actual value) x 100%

where Error = Measured value - Actual value

Substituting the given values, we get:

Error = 5.2 cm - 5 cm = 0.2 cm

Actual value = 5 cm

Percentage error = (0.2 cm / 5 cm) x 100% = 4%

Therefore, the percentage error in measuring the line segment is 4%.

Hence, the correct option is (4)4%.

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5% of $1100 = 55

Year given = 7

So, 55 × 7 = 385

She would get after 7 years all total  = (1100 + 385) = $1485

Types of Triangles answer

Answer:

this is a nonlinear function

Step-by-step explanation:

a linear function is when the y value increases the same amount every time the x value increases by 1(or any constant interval). in this problem when x increases 1, they y value increases by 2 for the first 3 sets of numbers, but in the 4th set of numbers the x value increases by 1 and the y value increases by 2. This does not follow the same pattern and therefore makes this nonlinear. A quicker way to figure this out when you have a graph like this is to draw a line through all the points in order of increasing x values or vice versa if the line you drew is straight all the way through then it is linear and if it isn't then it is nonlinear. I hope this helped.

Answer:

55.2049%

Step-by-step explanation:

R², the coefficient of determination, is the proportion of the variation in the dependent variable that is predictable from the independent variable.

In this case, if we square our correlation coefficent r=0.743, we get R²=0.552049, which means that 55.2049% of the variation in the number of yearly boaters can be explained by differences in lake sizes

Answer:

11x+6

Step-by-step explanation:

9x + 4 + 2x + 2

Combine like terms

9x+2x   + 4 +2

11x     +6

The two legs of a triangle with a 45°, 45°, and 90° angle are congruent, and the hypotenuse is approximately twice as long as the legs.

We may utilise the relationships in a 45°-45°-90° triangle to determine the lengths of the other sides given that the longest side (hypotenuse) is 82.By dividing the hypotenuse length by 2, one may get the length of each leg:Leg length is equal to (8+2)/2, or 8.The remaining sides of the 45°-45°-90° triangle are therefore 8, 8, and 82.In a 45°-45°-90° triangle, the two legs are congruent, and the length of the hypotenuse is equal to √2 times the length of the legs.

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Answer:

x-12

Step-by-step explanation:

Apex

Answer:

Step-by-step explanation:

Let older brother age be x and the age difference between the brothers be y

Younger brother's current age = x - y

When older brother's age was at x - y, younger brother's age was x - 2y = 2

When young brother's age will be at x, older brother's age will be x + y = 20

Subtracting the first equation from the second: 3y = 18

y = 6

x = 14

So the older brother is 14 and the younger brother is 8.

Sum of three son's ages now = 15 + 11 + 7 = 33

Daddy's age now = 45

Age difference = 12

Each year, daddy's age goes up by 1 while the sum of three son's ages goes up by 3.

Dividing the age difference by the difference in age gain, 12 / (3 -1) = 12 / 2

= 6

So in 6  years when daddy is 51 and the sum of sons at 21, 17 and 13 will be equal.

Answer:

Step-by-step explanation:

older bro age is x

younger bro age is y

age diff = x - y

it was (x-y) years ago when older bro was at age y

younger bro age then was y - (x - y) =2

2y - x = 2

younger bro will be at age x in (x-y) years

older bro age then will be x + (x-y) = 20

2x - y = 20

4x - 2y = 40

adding 2y - x = 2

3x = 42

x = 14

y = 2*14 - 20 = 8

daddy' age, 45 is 12 over the sum of sons (15, 11 and 7)

in 1 yr, dad age +1 n sum of sons +3 = difference of 2

so in 12/2 = 6 yrs they will be the same

Answer:

-43.5

Step-by-step explanation:

264 + _ x 4 = 90

264-90 = 174

174/4 = 43.5

-43.5 x 4 = -174

264 + (-174) = 90

Interval and ratio scales of data measurement are associated with quantitative data.

Data measurement:- Data measurement is the way in which data can be subcategorized to analyze the data properly. Data can be classified into two types-

Thus we can conclude that, Interval and ratio scales of data measurement are associated with quantitative data.

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The conclusion is that the cross product is not associative, which means that (i×j)×j is not equal to i×(j×j).

To compute (i×j)×j, we first need to find i×j, which is the cross product of i and j. The cross product of i and j is a vector perpendicular to both i and j, and its direction can be determined using the right-hand rule. Since i and j are perpendicular unit vectors in the x-y plane, their cross product i×j is a vector pointing in the z direction, which can be written as k.

Now, we can compute (i×j)×j by taking the cross product of k and j. Since k is perpendicular to j, the cross product of k and j will be perpendicular to both k and j, which means it will be in the i direction. Therefore, (i×j)×j equals the vector i.

To compute i×(j×j), we first need to find j×j, which is the cross product of j with itself. Since the cross product of any vector with itself is the zero vector, j×j equals 0. Therefore, i×(j×j) equals the zero vector.

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The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer:

yes.

Step-by-step explanation:

because it is .7, we round up. (5 and up is rounded up. 4 and lower, you round down.)

138.7 rounded up is 139

because it is .4, we will round down.

139.4 rounded down is 139

Hope this helps!

Answer:

2n+22

Step-by-step explanation:

22 more than twice a number

n represents the number.

twice a number --> 2n

22 more than --> +22

2n+22

Hey there!

Guide:

• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <

• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.

ANYWAYS, LETS ANSWER the QUESTION

“22 more than 2 twice a number”

• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!

“22 MORE THAN twice a NUMBER”

This could be simply written as:

“22 > 2n” or even “2n + 22”

But we will just say that’s [2n + 22] would mostly fit this scenario

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 768

Step-by-step explanation:

24 times 20 =480 dollars

16 x18=288

480+288= 768

so yea D IS THE ANSWER!!!

hope thats helps :)

Answer:

3/8

Step-by-step explanation:

If we add 2/8+3/8 we get 5/8 and we need 3/8 to get a whole number so we subtract 5/8-8/8 we get 3/8 sorry if that didn't make sense

Answer:

A

Step-by-step explanation:

I used to be able to do this so well, but I haven't done in a while, but I think this is correct :)

The number of favorable outcomes is 10C3 * 3P3.
Probability = (10C3 * 3P3) / 10P10.

The probability of the first car containing three passengers can be calculated by considering the total number of possible outcomes and the number of favorable outcomes.

To determine the total number of possible outcomes, we need to calculate the number of ways to arrange ten passengers in three cars.

This can be calculated using the concept of permutations.

Since the cars are identical, we can consider the passengers as distinct objects.

Therefore, the total number of possible outcomes is 10P10, which is equal to 10!.

To determine the number of favorable outcomes where the first car contains three passengers, we need to consider the number of ways to choose three passengers out of ten and arrange them in the first car.

This can be calculated using combinations and permutations.

The number of ways to choose three passengers out of ten is 10C3, which is equal to 10! / (3! * (10-3)!).

After selecting the three passengers, we need to arrange them in the first car, which can be done in 3P3 ways, equal to 3!.

Therefore, the number of favorable outcomes is 10C3 * 3P3.

The probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = (10C3 * 3P3) / 10P10.

Calculating this expression gives us the probability that the first car will contain three passengers.

Note: The calculations provided here assume that each passenger is equally likely to sit in any car.

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Answer:

13/20

Step-by-step explanation:

Answer: It end in the hundredth place, so you have to write 65/100

65/100 simplifies to 13/20.

Step-by-step explanation: hope this helps

Answer:

6(x2 + 2)

Step-by-step explanation:

6

2

+

1

2

{\color{#c92786}{6x^{2}+12}}

6x2+12

6

(

2

+

2

)

{\color{#c92786}{6(x^{2}+2)}}

6(x2+2)

Answer:

6(x^2+2)

Step-by-step explanation:

Hope this helps and have a nice day :)

The winner's probability is 0.064.

Given:

The odds of winning box A are 40%, which is 0.4 percent.

The odds of winning box B are 1-4%, which is 0.6 percent.

The odds of winning box B are 6%, which is 0.06 percent.

Find:

Calculation of the winner's probability:

The probability of winning is equal to the probability of winning box A, the probability of winning box B, and the probability of winning box A. The probability of winning is equal to [0.4][0.07] and [0.6][0.06]. The probability of winning is equal to 0.028 and the probability of winning is equal to 0.036.

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In long division, 63.92/9.4 results with quotient of 6.8.

Long division is a method of dividing two numbers by repeatedly subtracting the divisor from the dividend and keeping track of the resulting quotient and remainder. This method is often used when dividing two numbers with several digits. The process of long division involves several steps that are repeated until there is no remainder left or until a desired level of precision is achieved.

In long division, the dividend is the number being divided, and the divisor is the number by which the dividend is being divided. The quotient is the result of the division, and the remainder is the amount left over after the division is complete.

         006.800

94   |  639.200

 −0                  

 63        

 −0                

   639      

 −564            

           752    

    −752      

   0  

Thus, In long division, 63.92/9.4 results with quotient of 6.8.

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Answer:

c

Step-by-step explanation:

Its 10th floor goes down 6 floors which is on the 4th floor and goes up 4 floors and now its on the the 8th floor

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.

The elevator is on the 8th floor.

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.

4 - 3 = 1 is an expression

3 - 6 = -3 is an expression

We have,

An elevator is on the 10th floor.

It goes down 6 floors.

This can be written as an expression:

10 - 6 = 4

The elevator is on the 4th floor.

The elevator then goes up 4 floors.

This can be written as an expression:

4 + 4 = 8

The elevator is on the 8th floor.

Thus,

The elevator is on the 8th floor.

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To maximize profit, the Ratmeister Company should produce and sell a certain number of hamster cages. We can find this number by determining the quantity that maximizes the profit function.

The profit function (P) is given by subtracting the cost function (C) from the revenue function (R):

P(x) = R(x) - C(x)

Given the cost function C(x) = 400 + 12x and the revenue function R(x) = -2x^2 + 72x, we can substitute these equations into the profit function:

P(x) = (-2x^2 + 72x) - (400 + 12x)

P(x) = -2x^2 + 72x - 400 - 12x

P(x) = -2x^2 + 60x - 400

To maximize profit, we need to find the value of x that corresponds to the vertex of the quadratic function -2x^2 + 60x - 400. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

For the quadratic function -2x^2 + 60x - 400, we have a = -2 and b = 60. Substituting these values into the formula, we get:

x = -60 / (2 * -2)

x = -60 / -4

x = 15

Therefore, to maximize profit, the Ratmeister Company should produce and sell 15 hamster cages.

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