I need help! Theorem and Postulates! I will give brainliest....Please!

Answer:

3

Step-by-step explanation:

√83-√35 = 3.1943537960446828393782978131270521416836379374706155296172187959...

Step-by-step explanation:

we need to remember the squared numbers of the baud integers :

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

so, what squared integers are closest to 83 and 35 ?

well, 81 (9²) and 36 (6²).

so, the result has to be closest to 9 - 6 = 3.

83 is larger than 81 than 35 is smaller than 36. so, 3 is less than sqrt(83) - sqrt(35).

therefore, the correct answer is indeed 3.

The correct statement about the model, using proportions, is given as follows:

The model shows that there are 4 pieces that are each 0.75 ft long.

A proportion represents a fraction relative to a total amount, and this fraction is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of the problem.

The application of proportions in this problem is to find the length of each piece, which is obtained as the division of the total length of the model by the number of pieces, hence:

Length of each piece = Total length/number of pieces.

The measures are given as follows:

Hence the length per piece is given by:

3 ft / 4 = 0.75 ft.

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Answer:

answer is 3/4!!! hope this helped

Answer:

525 cm

Step-by-step explanation:

a heptagon has 7 sides and it can be split into 7 different equal triangles and one already has the side so we just find the area of the triangle.

1/2(12)(12.5)

6(12.5)

75

75 is the area of the triangle so now we multiply by 7

75x7=525 cm

Hopes this helps please mark brainliest

Answer: 525 cm squared

Step-by-step explanation:

Find the area of 1 of the Isoceles triangle and then multiply it by 7, because there are 7 Isoceles triangles in the heptagon. Area= 1/2 base x height = 1/2 x 12cm x12.5cm = 75cm squared. Now 75 cm squared x 7 = 525 cm squared

The ratio of the areas of the similar figures is given as follows:

225/16.

Similar figures are figures that share these two features:

The ratio of the side lengths of the similar figures can be represented as follows:

(b/a).

The side length is measured in units, while the area is measured in units squared, hence the ratio of the areas of the similar figures is represented as follows:

(b/a)² = b²/a².

From the image of the right triangle shown at the end of the answer, the ratio of the side lengths is:

15/4.

Hence the ratio of the areas of the figures is given as follows:

(15/4)² = 225/16.

The figures are given by the image at the end of the answer.

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The required time that would it takes to reach the flames is 2.78 sec.

Given that,
A helicopter drops a bucket of water onto a forest fire from 38 meters above the blaze how long it takes the water to fall and reach the flames is to be determined.

Here,
According to the question,
The initial velocity of the water is u = 0, and s = 38
Speed gain by the water is due to the acceleration due to gravity g = 9.8.
The time for water to reach to the ground is given by the second equation of motion.
s = u²t + 1/2gt²
Substitute the values in the above equation,
38 = 1/2(9.8)t²
(9.8)t² = 76
t = √(76/9.8)
t = 2.78 sec.

Thus, the required time that would it takes to reach the flames is 2.78 sec.

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Answer:

true

Step-by-step explanation:

5^ -2

(1/5)^2

1/25

Answer:

That's true :

5^-2= 1/5^2= 1/25

so yes : 5^-2=1/25

Step-by-step explanation:

[tex]39 + \frac{1}{7}r[/tex] when r = -1/2

[tex]39 + \frac{1}{7}*\frac{-1}{2} \\\\39 + \frac{-1}{14}\\\\[/tex]

= 38.92857 (in decimal form)

= 545/14 (in fractional form)

Answer:

(A∩B)={1,15}

Step-by-step explanation:

The domain of the given function f(x) = (-x - 9)^(1/2) is; C) (-∞, -9)

The domain of a function is defined as the set of all possible input values that make the function possible.

Now, we are given the function;

f(x) = (-x - 9)^(1/2)

This can also be written as;

f(x) = √(-x - 9)

Now, since the item in bracket seems to be negative, we can say that we want to find the lowest term for which the function in bracket is zero because when the function in the bracket is negative, then the function is a complex number. Thus;

At (-x - 9) = 0

-x = 9

x = -9

This will be the maximum value of x while the minimum value will be negative infinity.

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If the distance from P to R is 3 units, then the distance from Q to S is; 3 units

We are told that quadrilateral PQRS is a scaled copy of quadrilateral ABCD. Thus, this means that;

P → A

Q → B

R → C

S → D

We are also told that the length of PR = 3 units.

Now, from the given image, we see that;

AC = 6 and BD = 6

We also know that;

AC corresponds to PR

BD corresponds to QS

Due to the fact that AC and BD have the same side lengths, then it means that PR and QS will have the same side lengths.

Therefore, the value of QS is: QS = 3

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Complete question is;

Here is Quadrilateral ABCD.

Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD Point P corresponds to A.

Q to B. R to C. and S to D.

1. If the distance from P to R is 3 units, what is the distance from Q to S?

The value after 11 years with annual compounding is $11,389.79

The value after 11 years with quarterly compounding is $11,552

The value after 11 years with monthly compounding is $11,589.68

The value after 11 years with continous compounding is $70,080.78.

When an amount is compounded annually, it increases in value once a year. When an amount is compounded quarterly, it increases in value four times a year. When an amount is compounded monthly, it increases in value twelve times a year. When an amount is compounded continuously, it increases continuously over the investment period.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

Value after 11 years with annual compounding: $6,000 x (1.06)^11 = $11,389.79

Value after 11 years with quarterly compounding: $6,000 x (1 + 0.06 /4)^(11 x 4) = $11,552

Value after 11 years with monthly compounding: $6,000 x (1 + 0.06 /12)^(11 x 12) = $11,589.68

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

Value after 11 years: 6,000 x (2.718^0.06) x 11 = $70,080.78

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Using the stem-and-leaf plot, the mean of the data is 3.85.

It means the average feet that the heavy ball was thrown is 3.85 feet, which is the typical number.

To find the mean of a data set that is represented by a stem-and-leaf plot, first, list out all the data values that are represented on the stem-and-leaf plot, add all the values and divide by the number of values that was represented on the stem-and-leaf plot.

Given the stem-and-leaf plot above, using the key, the data points represented are:

2.0, 2.1, 2.4, 3.1, 3.2, 3.6, 4.1, 4.3, 4.7, 5.1, 5.1, 6.5

Mean = [2.0 + 2.1 + 2.4 + 3.1 + 3.2 + 3.6 + 4.1 + 4.3 + 4.7 + 5.1 + 5.1 + 6.5]/12

Mean = 46.2/12

Mean = 3.85 feet

The mean of 3.85 feet means that the average distance that the heavy ball was thrown in feet is 3.85.

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The Answer is:

3.85 ft.
* *

-

Answer:

graphs 2 and 4 are functions

Step-by-step explanation:

To know if a graph represents a function, draw multiple vertical (straight up and down) lines through the graph. If any of the vertical lines crosses the graph 2 or more times, it is NOT a function.

The fraction of the patients that have a waiting time of more than 7 minutes found by using the area under the curve is 269/312

A fraction indicates the quantitative comparison showing the number of times one quantity is contained in another quantity.

The area under the frequency curve is found as follows;

Dividing the area into composite shapes of a rectangle, triangle and trapezoid, we get;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 + (2.5 + 1.2) × 2/2 + 1.2 × 1/2 = 31.2

The area for those that have a waiting time of more than 7 minutes is therefore;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 = 26.9

The fraction that have a waiting time of more than 7 minutes is therefore;

26.9/31.2 = 269/312  ≈ 0.862

The fraction of the patients that have a waiting time of more than 7 minutes is 269/312

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The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

In the given question,

We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.

Since we have to find the image after a dilation.

So we learn about it now,

Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.

So the given point is (-9,12).

Scale factor is 1/3.

So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as

=(-9×1/3,12×1/3)

Simplifying

=(-3,4)

Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

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The types of variation and their constants are;

1) Direct variation with constant of variation as -1/4

2) Direct variation with constant of variation as ³/₂

A variation is defined as a relation that exists between a set of values of one variable and then a set of values of other variables.

In variation, if the variables change proportionately that is they either increase together or decrease together, then they are said to vary directly.

1) We are given the equation;

4y = -x

Now, y is the output while x is the input and so we make y the subject to get; y = -¹/₄x

Now, writing the relationship between y and x as a variation, we will have; y ∝ x

For this to be equal, there has to be a constant of proportionality which means; y = kx

Comparing with our equation tells us that;

This is a direct variation with constant of variation as -1/4

2) We are given the equation;

3x = 2y - 7

Rearranging gives;

2y = 3x + 7

y = ³/₂x + 7

Now, the greater the value of x, the greater the value of y and as such this is also a direct variation with the constant of variation being 3/2.

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Answer:

a. $195

b. $4,195

Step-by-step explanation:

Interest: $4,195 - $4,000 = $195

The mean is 38.5. It tell us that the average distance a heavy ball was thrown is 38.5 feet.

A stem-and-leaf plot is table that displays a data set in ascending order.  used to display a dataset. A stem-and-leaf plot divides a number into a stem and a leaf. In this stem-and-leaf plot, the stem is the tens digit and the leaf is the units digit. For example, in the number 32, 3 is the stem 2 is the leaf.

The mean is a measure of the center of a dataset that is used to determine the average of a set of numbers

Mean = sum of numbers / total numbers in the data set

(20 + 21 + 24 + 31 + 32 + 36 + 41 + 43 + 47 + 51 + 51 + 65) / 12

462 / 12 = 38.5

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Answer:  The correct answer is x = 50

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

This is a right-angled triangle, so one of the angles is 90 degrees + x +y

Therefore: 90 + y + x = 180

Substitute the variables:

90 + 40 + x = 180

130 + x =180

Subtract 130 from each side:

(-130) 130 + x =180 (-130)

x = 50

Answer: 7.9766443e+22 all added and multiplied correctly

The linear equation in point slope form for the graph given below is y = (4/3)x - 1/3  .

In the question ,

a graph with the line is given

also given that the line passes through the points (1 , 1) and (4 , 5) .

in order to find the linear equation , we first need to find the slope .

slope = (5 - 1)/(4 - 1)

slope = 4/3

So , the linear equation of the line passing through the point (4 , 5) with slope 4/3 , in point slope form is

(y - 5) = (4/3)×(x - 4)

y - 5 = (4/3)x - 16/3

y = (4/3)x - 16/3 + 5

y = (4/3)x -80/15 + 75/15

y = (4/3)x -5/15

y = (4/3)x - 1/3

Therefore , The linear equation in point slope form is y = (4/3)x - 1/3  .

The given question is incomplete , the complete question is

Write a linear equation in point - slope form for the graph given below ?

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Linda' number of questions has an expected value of 11.3

The given parameters in the question are:

8 questions with probability 0.6,

15 questions with probability 0.3

20 questions with probability 0.1

The expected value is then calculated as

E(x) = Sum of (number of questions * probability)

Substitute the known values in the above equation, so, we have the following representation

E(x) = 8 * 0.6 + 15 * 0.3 + 20 * 0.1

Evaluate

E(x) = 11.3

Hence, the expected value  is 11.3

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Answer:

2/3

Step-by-step explanation:

The gradient is found by doing rise/run. If you go to a point on the line you can then rise 2 squares and run 3 to the right. This means that the gradient is 2/3. It is not negative as the line is going up.

It is true that when you add an integer to +3, a negative sum or postive sum is possible. An example is 2 + 3 = 5 and -4 + 3 = -1

It should be noted that from the information,we want to prove that addition of +3 to an integer can either be negative or positive.

This will be:

= 2 + 3

= +5

In this case, it gives a positive number.

Also, -4 + 3

= -1

This gives a negative number.

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The solution of the equation 2(x + 1) = 6(x – 1), is the value of x = 2.

To solve an equation means to find what the value of the variable of the equation would be that would make the equation true if the value of the variable is plugged into the equation.

The necessary steps taken to find the value of x in the equation, 2(x + 1) = 6(x – 1) are explained below:

2(x + 1) = 6(x – 1) [given]

Apply the distributive property

2x + 2 = 6x - 6

Combine like terms

2x - 6x = -2 - 6

-4x = -8

Divide both sides by -4

-4x/-4 = -8/-4

x = 2

The value of x is 2. To check the solution, plug in the value of x back into the equation:

2(2 + 1) = 6(2 – 1)

2(3) = 6(1)

6 = 6 [true]

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The two combined geometric series is separated and the common ratios are shown

The total of a geometric sequence's finite or infinite terms is known as a geometric series.

The ratios of every two successive terms in the series (sum of terms) are equal. this means that

The common ratio is calculated by dividing the succeeding term (eg 2nd term) by the preceding term (eg 1st term)

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Applying angle relationships, the measures of the numbered angles are:

m∠1 = 90°

m∠2 = 68°

m∠3 = 112°

m∠4 = 112°

m∠5 = 68°

m∠6 = 56°

m∠7 = 124°

m∠8 = 124°

To calculate angle measurements that are formed by a transversal and parallel lines, we can apply the knowledge of the angle relationships that exist between the angle pairs in concerned. Some angle relationships are:

m∠1 = right angle [corresponding angles is the angle relationship]

m∠1 = 90°

m∠2 = 180 - m∠1 - 22 [triangle sum theorem]

Substitute

m∠2 = 180 - 90 - 22

m∠2 = 68°

m∠3 = 180 - m∠2

Substitute

m∠3 = 180 - 68

m∠3 = 112°

m∠4 = m∠3

m∠4 = 112°

m∠5 = 180 - m∠4

m∠5 = 180 - 112

m∠5 = 68°

m∠6 = 1/2(180 - m∠5)

m∠6 = 1/2(180 - 68)

m∠6 = 56°

m∠7 = 180 - 56

m∠7 = 124°

m∠8 = m∠7 [alternate interior angles is the angle relationship]

m∠8 = 124°

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Answer:

124 km

Step-by-step explanation:

Wanda walked 43.4 km in 14 days. At this rate, how far would she walk in 40 days? She would walk__km in 40 days.

First, figure km per day:

43.4/14 = 3.1 km per day

3.1 * 40 = 124 km

She would walk 124 km in 40 days.