The question is clearly in the pic

Answer:

Step-by-step explanation:

Let the sides be:

According to question are given:

Use Pythagorean to find the length of hypotenuse:

The first option is discarded, as all sides should be positive. With a = 1 we get negative value for c.

So a = 17 cm.

Find the other sides:

Find the perimeter:

Answer:

40 cm

Step-by-step explanation:

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

Let a be the shorter leg.

If the hypotenuse is 1 cm longer than twice the shorter side then:

[tex]\implies c = 2a + 1[/tex]

If the hypotenuse is 2 cm longer than the other side then:

[tex]\implies c = b + 2[/tex]

Equate the two expressions for c and solve for b:

[tex]\implies b+2=2a+1[/tex]

[tex]\implies b=2a-1[/tex]

Substitute the expression for c involving a, and the expression for b involving a, into Pythagoras Theorem and solve for a:

[tex]\implies a^2+(2a-1)^2=(2a+1)^2[/tex]

[tex]\implies a^2+4a^2-4a+1=4a^2+4a+1[/tex]

[tex]\implies a^2-4a=4a[/tex]

[tex]\implies a^2-8a=0[/tex]

[tex]\implies a(a-8)=0[/tex]

[tex]\implies a=0, \quad a=8[/tex]

Since the length of a side cannot be zero, a = 8.

The perimeter of a two-dimensional shape is the distance around the outside.   Therefore, the perimeter of the triangle is the sum of its sides:

[tex]\begin{aligned} \implies \textsf{Perimeter}&=a+b+c\\&=a+(2a-1)+(2a+1)\\&=5a\end{aligned}[/tex]

Substitute the found value of a into the expression for the perimeter:

[tex]\begin{aligned} \implies \textsf{Perimeter}&=5(8)\\&=40\sf \; cm\end{aligned}[/tex]

Therefore, the perimeter of the triangle is 40 cm.

Answer:

Step-by-step explanation:

(7m - 2) the two would instantly become a negative so the answer would be 7m + -2.

same goes for (9m - 5) the five will become a negative and the answer would be 9m + -5.

Same also goes for (6n - 1) the one would become a negative so the answer would be 6n + -1. Your welcome!!!!!!!!!

To answer this question, first we need to properly understand the definition of median and mean, and also understand what it means to be "roughly symmetrical".

Let's start with the definition of median.

"the median is the value separating the higher half from the lower half of a data sample"

If we have an odd amount of elements in our dataset, the median is literally the middle element of our set.

Example:

We have four elements below 3, and four elements above 3, therefore, the median of this dataset is 3.

If we have an even amount of elements, the median is the mean between the two elements in the middle.

Example:

The elements in the middle are 1 and 2. This means our median is

1.5.

Now, let's understand the mean.

By definition, The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers, given by the sum of all elements divided by the amount of elements.

Examples:

Now that we know what mean and median exactly are, let's try to understand what it means to be "roughly symmetrical".

When talking about histograms, Close to symmetric means the data are roughly the same in height and location on either side of the center of the histogram.

As the histogram gets closer to symmetric, the mean approaches the middle values, to be more specific, If the histogram is close to symmetric, then the mean and median are close to each other.

Since the statement says "roughly symmetrical" this is the only thing we can claim. If we have more values to the right in our roughly symmetrical distribution, the mean will be a little bit bigger than then median, and if we have more values to the left in our roughly symmetrical distribution, the mean will be a little bit smaller than then median.

Answer: 4x^2 + 2x + 3

Step-by-step explanation: long division method :)

The equation that would represent the gold medals won by the United States is 1 + 4F = 7 + F.

The gold medals won by France is 2.

The gold medals won by the United State is 9.

The equation that would represent the gold medals won by the United States would be a linear function. A linear function is a function that has a single variable that is raised to the power of one. A linear equation is a straight line that slopes either upward or downward when drawn on a coordinate plane.

The equation that represents the gold medals won by the United States is:

1 + ( 4 x F) = 7 + F

1 + 4F = 7 + F

In order to determine the value of F, take the following steps:

Combine similar terms together: 4F - F = 7 - 1

Add similar terms: 3F = 6

Divide both sides of the equation by 3 : F = 6 / 3

F = 2

The gold medals won by the United states

7 + 2 = 9

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The upper fence and the lower fence are known as the upper limits and lower limits respectively. The upper fence and lower fence can be computed below

After using Arithmetic we'll get - Total of her paycheck $250

What is Arithmetic ?

The study of the characteristics of the standard operations on numbers, including addition, subtraction, multiplication, division, exponentiation, and root extraction, constitutes the fundamental subject of arithmetic. Giuseppe Peano, an Italian mathematician, formalised arithmetic in the 19th century with the help of his Peano axioms, which are still crucial to the modern study of mathematical logic. There are only a few artefacts from the early history of mathematics that may have shown how addition and subtraction were first thought of. The best-known of them is the disputedly interpreted Ishango bone from central Africa, which dates from between 20,000 and 18,000 BC.

The Amount Karen spent:

She lends sister = $21

Buys Groceries = $71

Pays Gym membership = $85

After spending this much she left with $73

The paycheck she receive = 21 +  71 + 85 + 73

                                             = $250

Hence , her paycheck was $250

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Cube rolled = 50 times

1 or 2 came up = 19 times

In percentage, that is >>>

So, 1 or 2 occured 38% of the times where it should occur around 20% of the times.

Looking at the answer choice, third option (C) is right.

The number of total seats in the theater is 1287 seats.

The formula to find the sum in an arithmetic sequence will be:

= n/2 (a + l)

where n = total number

a = first term

l = last term

The last term which is the 22nd term will be:

= a + 21d

= 27 + 21(3)

= 27 + 63

= 90

The sum will be:

= n/2 (a + l)

= 22/2 ( 27 + 90)

= 11 × 117

= 1287 seats

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The number of passes that john has attempted this year is 500500500 passes

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (350350350* 100) / 70

nt = 500500500

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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By considering the climate of the North Pole, Alaska, the change in the Temperature, is 13°F and 14 °F on the 1st and last day of the month respectively.

Alaska experiences an average low temperature of 9°F (-13°C) and an average high temperature of 22°F (-5°C) in January. You should be able to see the little sun that is shining (just for 5 to 6 hours per day on average) since it is clear for roughly 60% of the days.

Alaska's typical February temperature ranges from a low of 12°F (-11°C) to a high of 26°F (-3°C). There is a little bit more cloud cover (approximately 50% of days) and roughly 8 hours of sunlight per day, which both contribute to this rise in temperatures.

Change in Temperature:

On 1st day of January , the Change in temperature = Highest Temperature - lowest temperature = 22°F - 9°F = 13°F

On the 1st day of February, and the last day of January, the Change in temperature = Highest Temperature -  lowest temperature = 26°F -  12°F = 14 °F.

Claus needs to pack a lot for the vacation, as it is at the North Pole, Alaska, Considering the climate of the North Pole. She has to pack a lot winter clothes, lots of animal food, and sanitary.

The hardest part will take care of the animals, The majority of animals only require a warm, secure, and protected area to live in addition to enough food, drink, and exercise. Animals require care and attention to stay safe, happy, and healthy. They require wholesome food, pure water, and a cozy place to sleep. The majority of animals need frequent exercise to keep healthy.

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Answer:

See below

Step-by-step explanation:

20 minutes = 1/3 hr

distance / rate = time

x = rate1      x+6 = rate2

39 mi / (  x +     x+6    m/hr ) = 1/3 hr

39/(1/3) = 2 x + 6

x = 55.5 mi/hr       x+6 = 61.5 mi/hr

2 more molecules are there at sea level compared to at an altitude of 33Km and 5 more molecules are there at  sea level compared to at an altitude of 50Km.

We have been told that there are less molecules in a cubic meter of air the higher in altitude we will go.

Part : A

Number of molecules at sea level = 1025 molecules

Number of molecules at an altitude of 33 km = 1023 molecules

Difference between number of molecules at sea level and number of molecules at an altitude of 33 km =  1025 - 1023 = 2 molecules

Part : B

Number of molecules at sea level = 1025 molecules

Number of molecules at an altitude of 50 km = 1020 molecules

Difference between number of molecules at sea level and number of molecules at an altitude of 50 km =  1025 - 1020 = 5 molecules.

So, we can conclude that  2 molecules are more at sea level compared to at an altitude of 33Km and 5 molecules are more  at sea level compared to at an altitude of 50Km.

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The equation of the line passing through  (-4,-6), (5,-6) will be y = -6

In the given question, it is stated that the line passes through points  (-4,-6), and (5,-6). We need to find out an equation of the line that satisfies the given condition.

Firstly, we will need to find out the slope of the line. We can find the slope by using the point-slope form which is represented by:

=> [tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

Putting values (x₁, y₁) =  (-4,-6) and (x₂, y₂) = (5,-6) we get:

=> [tex]m = \frac{-6+ 6 }{5+ 4 }[/tex]

=> m = 0

We get slope m = 0. Now, putting the value of slope into the point-slope form and taking (x₁, y₁) =  (-4,-6), we get values:

=> y - y₁ = m(x - x₁)

=> y + 6 = 0(x + 4)

=> y = -6

Hence, we get the equation of line y = -6

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Answer:

a. x + 4

b. (x + 6)(x + 4) = x^2 + 10x + 24, so a = 10 and b = 24.

For 4 years, Deirdre paid $2 in dues.

Deirdre paid each year for three years = 3 × 10 = 30.

Let's consider x as the number of years,

As Deirdre paid $2 for x years the value she paid will be 2x,

Deirdre paid = $2x (in x years)

Deirdre has paid $10 for three years each, a total of $38 in dues. So the final equation will be,

38 = 30 + 2x

38 - 30 = 2x

8 = 2x

x = 4

Thus, Deirdre has paid $2 in dues for 4 years.

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The expression which represents how much money all three women make together, given they work the same number of weeks is (1,650w + 200)

Total amount all three women make together = (450w + 100) + (450w + 100) + (750w)

= 450w + 100 + 450w + 100 + 750w

= 1,650w + 200

So therefore, the total amount made by the three women is given by the expression 1,650w + 200

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Answer:

3 cups to 2 cups

Step-by-step explanation:

6 divided by 2 = 3

4 divided by 2 = 2

and that equals 3 to 2 cups

the perimeter of triangle is equal to the sum of all the side of the triangle,

The perimeter of given triangle is x+y+9+3

Solve for x and y,

Apply pythagoras theorem in triangle ADC,

Now, in triangle ADB

Apply pythagoras,

Compare the value of AD from both the equation,

Now, in triangle ABC

Add the equation

Substitute x=6 in the above equation,

So, the value of the other side of triangle are 6, 10.39

Perimeter of triangle =sum of all sides of triangle

ANSWER : Perimeter is 28.39

Answer:

it depends on the question

Usually if it a triangle with 2 angles and an x

you will add the 2 angles and rearrange to give the answer

Step-by-step explanation:

Hope this helps!!!

Answer:

A right triangle has one angle measuring 90 degrees. The side opposite this angle is known as the hypotenuse (another name for the longest side). The length of the hypotenuse can be discovered using Pythagoras's theorem, but to discover the other two sides, sine and cosine must be used. These are trigonometric functions of an angle.

In the diagram below, one of the angles is represented by the Greek letter θ. (pronounced "the - ta"). Side a is known as the "opposite" side and side b is called the "adjacent" side because of their positions relative to the angle θ.

The vertical lines "||" around the words below mean "length of."

So sine, cosine and tangent are defined as follows:

Step-by-step explanation:

So sine, cosine and tangent are defined as follows:

sine θ = |opposite side| / |hypotenuse|

cosine θ = |adjacent side| / |hypotenuse|

Answer: -3

Step-by-step explanation:

[tex](3-1*4-1) \div 2-2=\\\\(3-4-1)\div2-2=\\\\(-2)\div2-2=\\\\-1-2=\\\\-3[/tex]

Answer:

Step-by-step explanation:

10 hours. 80-20 is 60, which means he needs 60 more dollars. he makes 6 an hour, and 6x10 equals 60(what he needs) and that is your answer.

A possible solution for the equation is -5 ± √17/2.

The term quadratic equation is a term that cold be used to be able to describe a polynomial of degree 2. A polynomial of degree 2 is one in which the highest power of the algebraic terms present in the equation is 2.

We can rewrite the equation as;

x^2 + 5x + 2 = 0

Now what we need to do is to solve the quadratic equation and obtain its value.

By solving the quadratic equation as it have been shown in the question above, e can see that one of the solutions of the equation is; negative 5 plus or minus the square root of 17 divided by two.

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Well, I hope this helps.

10-(9²) = 91

The percent Selina would have saved if she had a renters' insurance policy at a monthly cost of $19.00 is 93. 5%

A percentage can be defined as a ratio or number that is expressed as a fraction of 100.

It is represented with the symbol "%"

Based on the information given, we have that;

To determine the percent she saved for an insurance policy at a monthly cost of $19.00

We take the following steps;

Total cost - 6(insurance policy)/total cost × 100/1

Substitute the values

$1760 - 6(19.00)/1760 × 100/1

Subtract the numerators

1646/1760  × 100/1

Find the quotient

0. 935  × 100/1

Multiply through

93. 5%

Hence, the value is 93. 5%

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Answer:

7(y - 2)

Step-by-step explanation:

7y - 14 ← factor out 7 from each term

= 7(y - 2)

Answer:

7(y -2)

Step-by-step explanation:

Factorize:

Find the GCF.

7y=  7 * y

 14 = 7 * 2

GCF = 7

7y - 14 = 7*y - 7*2

           = 7*(y - 2)

Answer:

∠ GHI = 17°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ HIJ is an exterior angle of the triangle , then

∠ HJI = ∠ GHI + ∠ IGH , that is

7x - 18 = 2x - 3 + 2x + 15

7x - 18 = 4x + 12 ( subtract 4x from both sides )

3x - 18 = 12 ( add 18 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ GHI = 2x - 3 = 2(10) - 3 = 20 - 3 = 17°