what's the length of the hypotenuse​

As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.

Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.

Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.

Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.

Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.

Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.

By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.

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Lines x + 5 = 0 and y = 4x + 4 intersect on a standard (x, y) coordinate plane.

To find the y-coordinate of the point where the two lines intersect.

given lines  are x +5 =0 and y=4x+4

we need to find point of intersection at point of intersection both line will have same point

Let point of intersection be (a,b)

then

a+5 = 0 and b = 4a+4

from 1st equation we have

a = -5

from the 2nd

b = 4a+4

b = 4(-5)+4

b = -20+4

b = -16

Hence y coordinate of point of intersection is -16

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If Lisa's father randomly pick a tie among his 16 ties, the probability it will be a blue one is 3/8

Probability is a measure how likely an event will happen. The probability of an event A is defined as the number of event A divided by the number of all possible outcomes. Mathematically,

P(A) = n(A)/n(S)

Where:

n(A) = number of event A

n(S) = number of all possible outcomes or sample space.

In the given problem:

Number of all ties = 16

Number of blue ties = 6

Hence, when a tie is picked up randomly, the probability it will be a blue one is:

P(blue) = (number of blue ties) / (number of all ties)

P(blue) = 6/16 = 3/8

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The height of the tree is 6.4m

the difference is that in one case the shadow of the tree is 60 - 20 = 40 m, and in the other case it is 60 + 20 = 80 m long.

anyway, for a certain angle of the sunlight we know the shadow of the pole is 60 m long, which creates with the 4.8 m height a right-angled triangle, with the line of sight from the top of the pole to the ground end of the shadow being the Hypotenuse or radius for or trigonometric triangle in a circle.

the shadow length (60 m) is sine of the sunshine angle multiplied by the radius.

the height (4.8 m) is cosine of that sunshine angle multiplied also by that radius.

Pythagoras gets us the radius for the pole triangle :

radius² = 60² + 4.8² = 3600 + 23.04 = 3623.04

radius = sqrt(3623.04) = 60.19169378... m

sin(angle) × radius = 60

sin(angle) = 60/radius = 0.996815279...

angle = 85.42607874...°

the sunshine creates with the tree also a right-angled triangle with the same sunshine angle (the sun is so far away, that the tiny, tiny difference is irrelevant, we can simply assume the angles are equal).

but the shadow is of different length (sin(angle)×radius), which means also the radius for the tree triangle has to be different. and that defines the height of the tree (cos(angle)×radius).

but now we know the angle, and we can reverse calculate the side lengths.

but the question is (as mentioned at the beginning) : is the tree shadow 40 m or 80 m long.

we have therefore 2 solutions for the height of the tree.

1. the shadow is 40 m long.

sin(angle) × radius = 40

radius = 40/sin(angle) = 40.12779585... m

tree height = cos(angle)×radius = 3.2 m

2. the shadow is 80 m long.

sin(angle) × radius = 80

radius = 80/sin(angle) = 80.25559171... m

tree height = cos(angle)×radius = 6.4 m

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Answer:

what is intercept: intercept simply means a point on the y axis through which a slope passes and also in the equation you were given y = mx + c I mean y = 2x -2 the c is the intercept meaning -2 .

so wherever that straight line meets with with y axis the number at that very point is your intercept.

the y intercept for the first one is -2

and it's "less than" since it's a negative number.

Step-by-step explanation:

Hope this helps.

Good luck✅.

There are \(7\frac{1}2}\) grams on the scale in all once she added 2 5/6 grams to the scale.

The International System of Units (SI) is the modern form of the metric system and is the most widely used measurement system in the world. It consists of seven basic units of seven basic quantities.

Length is the meter, mass is the kilogram, time is the second, electric current is the ampere, temperature is the kelvin, amount of matter is the mole, and luminosity is the cand. SI also includes derived units such as Newton (force) and Pascal (pressure), which are combinations of base units. SI is the standard measurement system in most countries around the world and is used in scientific, engineering, and commercial applications.

Given,

initial weight = \(4\frac{2}{3} = \frac{14}{3}\)

Final weight = \(2\frac{5}{6} = \frac{17}{6}\)

Final weight = \(\frac{14}{3} + \frac{17}{6} = \frac{45}{6} = \frac{15}{2} = 7\frac{1}{2}\)

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Answer:

The equation to represent the relationship between the total cost , c, and the number of songs, s, purchased can be expressed as:

c = 10/8 * s

This equation assumes that each song is the same price and that the cost to purchase 8 songs is $10

Step-by-step explanation:

The quartic polynomial function with rational coefficients and roots of 1, -1, and 4i is:

f(x) = x^4 + 15x^2 - 16

This polynomial satisfies the given conditions with its roots at 1, -1, 4i, and -4i, and its coefficients being rational numbers.

To find a quartic polynomial function with rational coefficients and roots of 1, -1, and 4i, we can use the fact that complex roots occur in conjugate pairs. Since 4i is a root, its conjugate, -4i, must also be a root.

The polynomial can be written in factored form as follows:

(x - 1)(x + 1)(x - 4i)(x + 4i) = 0

Now, let's simplify and expand the equation:

(x^2 - 1)(x^2 + 16) = 0

Expanding further:

x^4 + 16x^2 - x^2 - 16 = 0

Combining like terms:

x^4 + 15x^2 - 16 = 0

Therefore, the quartic polynomial function with rational coefficients and roots of 1, -1, and 4i is:

f(x) = x^4 + 15x^2 - 16

This polynomial satisfies the given conditions with its roots at 1, -1, 4i, and -4i, and its coefficients being rational numbers.

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Answer:

- 7/24

Step-by-step explanation:

Step 1:

3/8 = r + 2/3

Step 2:

9/24 = r + 16/24

Step 3:

9/24 - 16/24 = r

Answer:

- 7/24 = r

Hope This Helps :)

Answer:

-7/24

Step-by-step explanation:

Isolate the variable, r. Note the equal sign, what you do to one side, you do to the other.

Subtract 2/3 from both sides:

3/8 (-2/3) = r + 2/3 (-2/3)

3/8 - 2/3 = r

Simplify. First, find common denominators. Note that what you do to the denominator you do to the numerator.

(3/8) x (3/3) = (9/24)

(2/3) x (8/8) = (16/24)

Subtract:

(9/24) - (16/24) = -7/24

r = -7/24

~

it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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The difference between the two value is 5.6×10^7

The correct option is option B)

What is subtraction?

An arithmetic operation called subtraction simulates the process of removing items from a collection. The minus sign is used to denote subtraction,

We are given two values (1.2 × 10^8) and (6.4 × 10^7)

We are asked to subtract them.

To subtract them we first match their powers of 10

that is we make the powers equal

We convert both the value in terms of 10^7

We get 12×10^7 and 6.4×10^7

Now we perform the subtraction on both values we get

(12-6.4)×10^7

= 5.6×10^7

Hence, The difference between the two value is 5.6×10^7

The correct option is option B)

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A scatter plot with the data in the chart is shown in the image below.

In this exercise, we would plot the rookie season-points on the x-axis (x-coordinates) of a scatter plot while the overall points would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit (trend line) on the scatter plot.

Based on the scatter plot shown below, which models the relationship between the rookie season-points and the overall points, an equation for the line of best fit is modeled as follows:

y = 6.58x + 17665

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The cost of the goods to A is 21.05 birr.

Let the cost of the goods be x. Shopkeeper A makes a profit of 20% on the goods. Therefore, he sells it at 1.2x.B purchases the goods from A and resells it to C at a loss of 5%.Therefore, B sells the goods to C at 95% of the price he bought it from A.

This can be written as:0.95 × 1.2x = 20Birr0.95 × 1.2x = 20This implies that:1.14x = 20 ÷ 0.95x = 20 ÷ 0.95 = 21.05 (approximately)Therefore, the cost of the goods to A is 21.05 birr (approximately).Hence, the answer is 21.05.  

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The area of the rectangle is changing at a rate of 18 cm²/min at the instant when the other side is 13 cm and increasing at 3 cm per minute.

To solve this problem, we need to use the formula for the area of a rectangle, which is A = lw, where l is the length and w is the width.

We know that one side of the rectangle is 6 cm, so we can call that the width (w). The other side is increasing at a rate of 3 cm per minute, so we can call that the length (l) and represent it as l(t) = 13 + 3t, where t is the time in minutes.

To find how fast the area (A) of the rectangle is changing, we need to take the derivative of the area formula with respect to time:

dA/dt = d/dt (lw)
dA/dt = w dl/dt + l dw/dt

Now we just need to plug in the values we know:

w = 6 cm
l = 13 + 3t cm
dw/dt = 0 (since the width is not changing)
dl/dt = 3 cm/min (since the length is increasing at a rate of 3 cm per minute)

dA/dt = 6(3) + (13 + 3t)(0)
dA/dt = 18 cm^2/min

So the area of the rectangle is increasing at a rate of 18 cm^2 per minute when the width is 6 cm and the length is increasing at a rate of 3 cm per minute to reach 13 cm.

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divide second equation by -3

3x+2y=1

other equatin is

3x+2y=1

since same equation, they are same line and lines are infinite so infinite solutions is answe

Answer:

No solution

Step-by-step explanation:

PEMDAS = distribute first.

9x+99=9x+3

Subtract 9x from both sides

99=3

Impossible so no solution.

Hope this helps you!

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Answer:

27/4

Step-by-step explanation:

added in the picture

The value of the given sine function is √3/2, so the correct option is 2nd.

Given that an function Sin (-5π/3) we need to evaluate the expression,

To evaluate the trigonometric function sine of the angle (-5π/3), we can use the periodicity of the sine function.

Since the sine function has a period of 2, the sine of any given angle is equal to the sine of that angle plus or minus any multiple of 2.

To find an equal angle inside the main range (between -π and π), we can add 2 to the angle (-5/3).

Once adding 2:

(-5π/3) + 2π = (-5π/3) + (6π/3) = π/3

Now we can evaluate the sine of π/3, which is a commonly known angle. The sine of π/3 is √3/2.

Therefore, sin(-5π/3) = sin(π/3) = √3/2.

Hence the correct option is √3/2

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The final answers are given below

\(10.\)L

\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)

\(00000\)

\(12\)  | |

\(00000\)

|

\(00000\)

\(15. 31 16 48 29 53 47 22 37 98 26 2025\)

A number is an arithmetic value that is used to calculate and represent a quantity.

The numbers that are more than \(20\) but less than \(30\) are \(22\) and \(26\), so they should be crossed out:

\(31 16 48 29 53 47\) X \(37 98\) X \(2025\)

Therefore the answers are given below.

\(10.\)L

\(11.\) \(3\) (the number should be \(1,000,000\), which has six zeros)

\(00000\)

\(12\)  | |

\(00000\)

|

\(00000\)

\(15. 31 16 48 29 53 47 22 37 98 26 2025\)

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Answer: \(\frac{6(#30)+3(20)}{60}\)

Step-by-step explanation:

6(30)+3(20)

=180+60

= 240/60

=4 hours

Answer:

1: Line symmetry. (You can fold the shape in half and the lines match up exactly to be the exact same shape)

Answer:

-2x-28

Step-by-step explanation:

first you need to distribute the 6 & -4

The mean of the first population is not significantly larger than that of the second population. The p-value is 0.093.

Population 1: N = 35,X = 5.3, S = 2.8

Population 2: N = 21, X = 4.9, S = 3.2

We can use the t-test to test if the mean of the first population is larger than that of the second population. The formula for this is:

t = (x1 - x2) / (S√((1/N1) + (1/N2)))

Where x1 is the mean of population 1, x2 is the mean of population 2, S is the pooled standard deviation, and N1 and N2 are the sample sizes of the two populations.

Plugging in our values, we get:

t = (5.3 - 4.9) / (3.2√((1/35) + (1/21))) = 1.68

Using an online calculator, we find that the corresponding p-value is 0.093. Therefore, we fail to reject the null hypothesis that the two populations have the same mean and conclude that the mean of the first population is not significantly larger than that of the second population. The p-value is 0.093.

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Answer:

Z=18

Y=110

X=27

Step-by-step explanation:

since they are congruent, the corresponding sides are the same

Answer:

The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.

Step-by-step explanation:

Answer:

3 5/9

Step-by-step explanation:

The factored form of the quadratic equation 2x² + 25x + 50 is (2x + 5)(x + 10)

Factoring quadratics is a method of expressing the quadratic equation ax² + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax² + bx + c = 0.

Therefore, let's factor the equation 2x² + 25x + 50.

2x² + 25x + 50

The two numbers one can multiply and add to get 100 and 25 respectively are 20 and 5.

Therefore,

2x² + 20x + 5x + 50

2x(x + 10)+ 5(x + 10)

Therefore,

(2x + 5)(x + 10)

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Answer:

yes

Step-by-step explanation:

I Have to put the graphs in the right equation, do any of you guys know it?

The pool is draining at a rate of 1.36% per hour according to Inayah's claim.

According to Inayah's claim, the pool is experiencing a draining at a rate of 1.36% per hour. This means that for every hour that passes, the pool's water level decreases by 1.36% of its total volume.

Understanding the rate at which a pool is draining is essential for monitoring and managing water levels. If the rate of drainage is accurate, it can help estimate how long it would take for the pool to reach a certain level or completely drain. Additionally, it aids in determining the necessary actions to maintain the pool's water balance and prevent potential issues such as overflow or inadequate water supply.

It is crucial to verify the accuracy of the claim by monitoring the pool's water level over a specific period. This can be done by measuring the change in water volume or using other reliable methods to ensure the drainage rate aligns with the claimed percentage.

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