can someone help me with this problem please


here is the picture is just one

The only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

What is a valid triangle?

A valid triangle is a three-sided polygon that satisfies the following conditions:

The sum of the lengths of any two sides of the triangle is greater than the length of the third side.

The lengths of all three sides of the triangle are greater than zero.

Adam should use the dimensions 40 in., 44 in., 58 in. for a triangular frame to form a right triangle.

To determine if a right triangle can be formed, we need to check if the Pythagorean theorem is satisfied, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side (the hypotenuse).

Let's check each set of dimensions:

For 25 in., 60 in., 65 in.:

25^2 + 60^2 = 625 + 3600 = 4225

65^2 = 4225

The Pythagorean theorem is satisfied, so a right triangle can be formed. However, this triangle is not a valid option for Adam because the lengths are too short for building walls.

For 40 in., 44 in., 58 in.:

40^2 + 44^2 = 1600 + 1936 = 3536

58^2 = 3364

The Pythagorean theorem is not satisfied, so a right triangle cannot be formed using these dimensions.

For 50 in., 110 in., 130 in.:

50^2 + 110^2 = 2500 + 12100 = 14600

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

For 130 in., 50 in., 60 in.:

50^2 + 60^2 = 2500 + 3600 = 6100

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

Out of the options given, only the dimensions 50 in., 110 in., 130 in. and 130 in., 50 in., 60 in. satisfy the Pythagorean theorem, but both are too large for building walls.

Therefore, the only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

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Answer:

See below.

Step-by-step explanation:

We are asked to simplify the equation.

First, we should Combine Like Terms.

Combining Like Terms is adding terms that are alike.

For example, 4x and 11x are like terms since there's no differences than the coefficient, which can be different.

Let's combine like terms for this problem now.

Combine Like Terms:

[tex]\frac{2}{5} x+ 7 - \frac{2}{3} x -15\\\\\frac{2}{5} x - \frac{2}{3} x = \frac{6}{15} x - \frac{10}{15} x=-\frac{4}{15} x\\\\7 - 15 = -8[/tex]

We should have;

[tex]- \frac{4}{15} x - 8[/tex]

This will be our final answer.

The probability that the mean of a sample of 78 computers would differ from the population mean by less than 0.4 months is:

P (μ-0.4 <x<μ +0.4) = P (-0.39<x<0.39) = 0.3035

By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Moreover, the proportion of positive outcomes cannot be negative.

Here we have,

μ = 83,0 = 9, n = 78

Since sample size is large so we can assume normal distribution using CLT.

The z-score for x= μ-0.4 is

z=(μ-0.4-μ)/o/√n

=-0.4/9/√78

= -0.39

The z-score for x= μ +0.4 is

z=(μ+0.4-μ)/σ/√n

= 0.4/9/√78

= 0.39

The probability that the mean of a sample of 78 computers would differ from the population mean by less than 0.4 months is:

P (μ-0.4 <x<μ +0.4) = P (-0.39<x<0.39) = 0.3035.

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Answer:

3,418.32yd³

Step-by-step explanation:

For volume you do the area (8)² multiplied by the height (17). 8 x 8 = 64. 64 x 17 = 1,088. you then multiply 1,088 by 3.14, the π, which is 3,416.32. We are using yards so the end result is 3,418.32yd³.

Don't understand? Yeah, I didn't at first either, I had to refresh my memory. If you don't understand, https://youtu.be/fGVlL47TKAw helped me. Have a wonderful day!

C. During the observation period, period A's plant grew twice as quickly as period B's.

Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.

Given, Mrs. Walker's Period A and Period B Biology classes each grew a plant and recorded the heights

from the graph. at the start of the observation period, Period A's plant was as tall as Period B's. So, A and B are wrong.

during the observation period, Period A's plant grew twice as quickly as Period B's.

C is right, and D is wrong

So, the answer is C.

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Complete question:

the correct option is the first one (-10, -3)

All real numbers x falling inside this range are those such that

-10 < x < -3. The numbers -10 and -3 are not part of the set, as shown by the parentheses.

In mathematics, a set is a logically arranged group of items that can be represented in either set-builder or roster form. Sets are typically denoted by curly brackets; for instance, A = 1, 2, 3, 4 is a set. Check the set symbols here as well. The way that sets are represented by a person is always the same: as a group of clearly defined objects or elements. A capital letter designates a set. The cardinal number of a set is the number of elements in the finite set. The number of elements in a set is determined by its order. It describes a set's size. Cardinality is another name for the set order.

From the question:

In interval notation, the set of all integers between -10 and -3 may be written as:

(-10, -3)

All real numbers x falling inside this range are those such that -10 <x <-3. The numbers -10 and -3 are not part of the set, as shown by the parentheses.

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complete question:

(a) Commutative property of addition , (b) Distributive Property , (c) Associative Property of Multiplication , (d) Commutative property of multiplication and (e) Associative property of addition.

What is Associative Property ?

The associative property is a mathematical principle that states that the way in which factors are grouped in a multiplication or addition expression does not affect the final result. In other words, when using the associative property, we can add or multiply a group of numbers in any order we want, as long as we keep the order of the individual numbers the same.

(7 + 3) + 2 = 2 + (7 + 3)      Commutative property of addition

3(2x +4) = 6x + 12              Distributive Property

(9 * x) * 3 = 9 * (x * 3)         Associative Property of Multiplication

(8 * x * 2) = (8 * 2* x)          Commutative property of multiplication

(4 + 5) + 1 = 4 + (5 + 1)        Associative property of addition

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We're given the angle measure to be 46 for No. 8. The length of 1 leg is x and the hypotenuse is 28.

We can use cosine to solve this. Since cosine is adjacent over hypotenuse, we can do cos(46) = x/28. Cross multiply to get cos(46)*28 = x. That solves to be 19.5

Using this principle allows us to solve the other ones. I'll let you figure them out.

TLDR: We can use the definition of trig functions to plug in what we know and place variables where we don't have enough information to find the length of a side.

The best option to find a reasonable estimate for the amount of time it takes to run the obstacle course among 200 contestants is to option D: Time 20 contestants and average their times.

A reasonable estimate is an approximation that is based on logical reasoning and information available, and it is within a reasonable margin of error. It is not expected to be precise, but it is expected to provide a fair idea of the value being estimated.

For example, estimating the cost of a renovation project within 5% of the actual cost would be considered a reasonable estimate.

By timing only one contestant, the time might not be representative of the entire group since individual performances can vary significantly. Timing the race official himself also won't give an accurate estimate since the official might not be a typical contestant in terms of speed and agility.

On the other hand, timing 2 contestants and averaging their times might not provide a big enough sample size to get a good estimate.By timing 20 contestants, there is a higher chance that the sample size will be representative of the entire group, and the average time will provide a more accurate estimate of the typical performance on the obstacle course.

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The probability is approximately 0.129

To calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag, we need to use the binomial probability formula:

P(X >= 48) = 1 - P(X < 48)

Where

To calculate P(X < 48), we need to use the binomial probability formula:

P(X = x) = (nCx) * p^x * q^(n-x)

Where

nCx is the binomial coefficient, which can be calculated using the formula:

nCx = n! / (x! * (n-x)!)

where ! denotes the factorial function.

We can use a cumulative binomial distribution table or a binomial calculator to find the probability of getting less than 48 orange Stattles in a 14 ounce bag. For example, using an online calculator, we find that:

P(X < 48) = 0.871

Therefore, the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is:

P(X >= 48) = 1 - P(X < 48) = 1 - 0.871 = 0.129

So, the probability is approximately 0.129 or 12.9%.

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Answer:

Roughly 10.30

Step-by-step explanation:

Use Pythagorean theorem:
[tex]c^2 = a^2 + b^2[/tex]

Where [tex]c[/tex] is your hypotenuse

So:

[tex]c^2 = (9)^2 + (5)^2[/tex]

[tex]c= \sqrt{106}[/tex]

[tex]c[/tex] ≈ [tex]10.30[/tex]

Answer:10.3

Step-by-step explanation:

First, we need to find the number of people who went to the pool in the second, third, and fourth weeks.

Number of people in second week = 1,120 - 125 = 995

Number of people in third week = 995 + 145 = 1,140

Number of people in fourth week = 1,140 - 132 = 1,008

To find the percent decrease, we need to find the difference between the number of people in the first week and the fourth week, and then divide by the number of people in the first week.

Difference between first and fourth weeks = 1,120 - 1,008 = 112

Percent decrease = (112/1,120) x 100% = 10%

Therefore, the percent decrease in the number of people who went to the pool over these four weeks is 10%.

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

Dilation is the increase or decrease in the size of a figure.

The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.

Hence:

Scale factor² = dilated cone area / cone surface area

scale factor² = 2250π / 360π

Scale factor = 2.5

Volume of dilated cone = 2.5³ × 800π = 12500π in³

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

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Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.

The polygonal shape of a triangle has three edges and three angles. It is one of the most fundamental and significant geometric shapes and is utilised in a wide range of mathematical, scientific, and engineering fields. The edges and angles of a triangle can be used to classify it in various ways. Triangles can be categorised in one way by their sides: Three equal sides make up an equilateral triangle. Two of the edges of an isosceles triangle are equal. Three of the edges of a scalene triangle are unequal.

given

The property of angles in a triangle, which says that the sum of a triangle's interior angles is always 180 degrees, can be used to determine the value of x in the given figure.

Triangle ABC consists of:

∠A + ∠B + ∠C = 180

Since we know that A = 50 degrees and B = 90 degrees, we can use these numbers as a substitute:

50 + 90 + ∠C = 180

When we simplify the solution, we obtain:

140 + ∠C = 180

140 from both sides is subtracted, giving us:

∠C = 40

Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.

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Answer:

The statement that is sometimes true is C: A rectangle is a parallelogram.

Step-by-step explanation:

A parallelogram is a four-sided shape with opposite sides parallel. A rectangle is a specific type of parallelogram where all angles are right angles, and opposite sides have equal lengths. Therefore, a rectangle is considered a parallelogram. However, not all parallelograms are rectangles because other parallelograms may have angles that are not right angles.

Step-by-step explanation:

To graph the relationship between the number of pencils and the number of boxes, we can plot some points that satisfy the equation p = 144b.

We can choose any values of b and calculate the corresponding values of p using the equation. For example:

When b = 0, p = 144(0) = 0. So one point on the graph is (0, 0).

When b = 1, p = 144(1) = 144. So another point on the graph is (1, 144).

When b = 2, p = 144(2) = 288. So another point on the graph is (2, 288).

We can continue this process to find more points, or we can notice that the equation p = 144b represents a linear relationship between p and b with a slope of 144. This means that every time we increase b by 1, we increase p by 144.

We can use this information to graph the equation by starting at the y-intercept (0, 0) and then moving up 144 units for each unit we move to the right. This gives us a straight line with a slope of 144 passing through the origin.

The graph of the equation p = 144b looks like this:

|

| .

| .

| .

| .

| .

| .

| .

----------------------------------

0 1 2 3 4 b

The horizontal axis represents the number of boxes (b), and the vertical axis represents the number of pencils (p). Each dot on the graph represents a point that satisfies the equation p = 144b.

Based on the 2009 season, the Texas Rangers have a winning percentage of .533. The probability that the Rangers win 4 of their next 5 games is 18.8%.

We can use the binomial distribution formula to find the probability that the Texas Rangers win exactly 4 of their next 5 games:

P(4 wins) = (5 choose 4) * (.533)^4 * (1-.533)^1

= (5! / (4! * 1!)) * (.533)^4 * (.467)^1

= 5 * 0.533^4 * 0.467^1

= 18.8%

where "choose" is the binomial coefficient, which represents the number of ways to choose a subset of size k from a set of size n, and is given by:

(n choose k) = n! / (k! * (n-k)!)

So the probability that the Rangers win 4 of their next 5 games is 18.8%,.

Therefore, the answer is B.

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bonjours

oui sa est égale au volume

Answer:

Will is 122% of Wandas height.

Step-by-step explanation:

Answer:

in image...

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Answer: 1176 in^2

Step-by-step explanation:

the surface area of a cube is given by 6a^2 where a is the length of one edge side. Replace a for 14 as given in the question and we get 6 . 14^2 = 6 . 196 = 1176. the units are in inches squared also written as in^2

The requried it cannot conclude whether the variable is normally distributed or skewed based on the given data. None of the options are correct.

The statistic is the study of mathematics that deals with relations between comprehensive data.

It is not possible to determine if the variable "footprint" is normally distributed or skewed based on the given data.

The data represents the measurements of shoe prints for 5 males, but it is not enough to determine the distribution of the variable without additional information such as a larger sample size, the mean and standard deviation of the variable, or a histogram or frequency plot of the data.

Therefore, we cannot conclude whether the variable is normally distributed or skewed based on the given data.

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The factors of given expression are (a+b+2) and (a+b+2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given expression is (a+b)²+4(a+b)+4.

Here, take x=a+b

Now, x²+4x+4

= x²+2×2×x+4 (Algebraic identity (a+b)²=a²+2ab+b²)

= (x+2)²

= (a+b+2)²

= (a+b+2)(a+b+2)

Therefore, the factors are (a+b+2) and (a+b+2).

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The value of x and y in the trapezium are 118 and 35 degrees respectively.

The diagram above is a trapezium. A trapezium is a quadrilateral with 4 sides.  The sum of all the four angles of the trapezium is equal to 360°.

A trapezium has two parallel sides and two non-parallel sides.

Therefore, let's find x and y as follows:

x = 180 - 62(supplementary angles)

x = 118 degrees

y = 180 - 145(supplementary angles)

y = 35 degrees

Therefore,

x = 118 degrees

y = 35 degrees

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The gym fee increases by $6 for each additional class taken. The average rate of change in cost per class is equal to the slope of the linear function, which is $6 per class.

What is average rate ?

Average rate refers to the rate of change of a quantity over a given period of time. It is calculated by dividing the change in the quantity by the time period over which the change occurs.

To find the average rate of change in cost per class, we need to calculate the slope of the linear function that relates the gym fee to the number of classes taken.

Let x be the number of classes taken, and y be the gym fee. We can use the two data points given to find the equation of the line:

When x = 6, y = 43

When x = 11, y = 73

The slope of the line passing through these two points can be calculated as follows:

slope = (change in y) / (change in x)

slope = (73 - 43) / (11 - 6)

slope = 30 / 5

slope = 6

Therefore, the gym fee increases by $6 for each additional class taken.

The average rate of change in cost per class is equal to the slope of the linear function, which is $6 per class.

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Answer:

To compare two fractions, we need to make sure that they have the same denominator. In this case, we can convert 1/5 to an equivalent fraction with a denominator of 100 by multiplying both the numerator and denominator by 20:

1/5 = (1/5) x (20/20) = 20/100

Now we can compare 21/100 and 20/100. Since the numerator of 21/100 is greater than the numerator of 20/100, we know that 21/100 is greater than 20/100 or 1/5. Therefore, 21/100 is indeed greater than 1/5.

Step-by-step explanation:

Answer:

 1/5 is equal 2/10 equals 20/

Answer:

77

Step-by-step explanation:

Bisects means that the angle is split in half perfectly thus if angle JKM is 154 then JKR is 154/2 = 77

The total amount of fencing change by 236.66 feet.

The average rate of change is 2.3666.

It quantifies how much the function changed per unit on average over that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.

First, When width is 200 ft then

length = 19000/ 200 = 95 feet

and, When width is 300 ft then

length = 19000/ 300 = 63.33 feet

1) The amount of Fencing

= 3 x width + 2 x length

= 3 x 200 + 2 x 95

= 600 + 190

= 790 feet

2) The amount of Fencing

= 3 x width + 2 x length

= 3 x 300 + 2 x 63.33

= 900 + 126.66

= 1026.66 feet

So, the Change is

= 236.66 feet

Thus, the avreage rate of change

= 236.33/ (300- 200)

= 2.3666

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The solution of the evaluated expression, 1 / 3 x² for x = 6 is 12.

An expression is a combination of numbers, variables and operations such as addition, subtraction, multiplication, division etc.

To evaluate an expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's evaluate the expression as follows:

1 / 3 x² for x = 6

Hence, let's substitute the value of x in the expression.

1 / 3 (6)² = 1 / 3 (36) = 12

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