Find the length of the midsegment .
A.15
B.44
C.22
D.13

The mid point between the two points is at 13/8 .

A line segment is  a line of fixed measure .

The line segment extends from (-3/4) to  [tex]\rm 2 \dfrac{1}{2}[/tex]

i.e the line extends form -3/4 to 5/2

To find the mid point , the total distance needs to be determined

So the distance between the two point is

(5/2) + (3/4) = 13/8

The mid point is at half the distance of this

so it is at 13/8 from both the points

Any point at 13/8 distance from 5/2  towards (-3/4) will be

= (5/2) - (13/8)

= 7/8

So the mid point between the two points is at 13/8 .

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Answer:

the answer

Step-by-step explanation:

Answer:

K?

Step-by-step explanation:

The answer of the answer is the answer.

Hope this helped :D

The length and width of the toolbox given the diagonal is 45 inches and 15 inches respectively.

Hypotenuse ² = opposite ² + adjacent ²

30² = w² + (3w²)

30² = 4w²

900 = 4w²

w² = 900/4

= 225

w = √225

w = 15

Therefore,

Width of the triangle = w

= 15 inches

Length of the triangle = 3w

= 3(15)

= 45 inches

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Answer:

Range:  Difference of minimum and maximum values of a data set

Interquartile Range:  Difference of first quartile and third quartile of a data set

Step-by-step explanation:

Answer: what he said

Step-by-step explanation:

The exponential function is [tex]f(x) = 18(12)^{-x-4} + 2[/tex]

An exponential function is represented as:

y = b^x

Where b represents the base.

The base is given as:

b = 12

So, we have:

y = (12)^x

It is vertically compressed by a factor of 1/8.

So, we have:

y = 18(12)^x

When reflected across the y-axis, we have:

[tex]y = 18(12)^{-x}[/tex]

The horizontal asymptote is y = 2.

So, we have:

[tex]y = 18(12)^{-x} + 2[/tex]

It passes through the point (-3, 4).

So, we shift the function to the right by 4 units

[tex]y = 18(12)^{-x-4} + 2[/tex]

Express as a function

[tex]f(x) = 18(12)^{-x-4} + 2[/tex]

Hence, the exponential function is [tex]f(x) = 18(12)^{-x-4} + 2[/tex]

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Answer: 6

Step-by-step explanation:

Because [tex]\overline{DE} \cong \overline{EF}[/tex], [tex]y=55[/tex]. So, because angles in a triangle add to 180 degrees, [tex]11x+4=70 \longrightarrow x=6[/tex]

Answer:

80?

hshsshjsjsjjsjajjsjsnnsnsnnw

Step-by-step explanation:

hhddussisusuis

The following requires the submission of the details of the parabola related to the equations.

A parabola, simply defined, is a plane curve that is created by a point that is moving such that it's distance from a fixed locus is equal to it's distance from a line that is fixed.

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Answer:

a₃ = 19

Step-by-step explanation:

to find the third term substitute n = 3 into the nth term rule

a₃ = 4(3) + 7 = 12 + 7 = 19

Answer:

a₃ = 19

Step-by-step explanation:

the relationship between any two terms of an arithmetic sequence (in our case the relationship between the 3rd term and nth term)  gives us this equality :

[tex]a_n - a_3 = 4(n-3)[/tex]

Then

4n + 7 - a₃ = 4n - 12

Then

7 - a₃ = - 12

Then

7 + 12 = a₃

Then

a₃ = 19

The length of x will be 4 cm if is the angle bisector of A.

A straight line that splits an angle in a triangle into two congruent angles is known as the angle bisector.

Given sides;

AB=12

AE=8

BD=6

DE=x

From the triangle angle bisector theorem;

[tex]\rm \frac{BD}{DE} = \frac{AB}{AE} \\\\ \frac{6}{x} =\frac{12}{8} \\\\ x=4[/tex]

Hence the length of x will be 4 cm.

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Answer: 65

Step-by-step explanation:
1 + 64 = 65

73 is a 46% increase of 50.

What is percentage ?

A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice the given amount.

Percentage is defined as a specific part or amount out of a hundred. It is a fraction with the denominator 100 and is denoted by the symbol "percent."

The percent increase formula is as follows:

Percent increase = [(new value - original value)/original value] * 100.

Number of car parking (original value)=50

Number of car parking(new value)=73

The Percentage increase =[(73-50)/50]*100

                                          = [(23)/50]*100  

                                          =.46*100

                                         =46%

73 is a 46% increase of 50.

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The angle of depression from the top of the flag pole to point A is 36.2 degrees.

From trigonometric ratio: cos(θ) = Adjacent / Hypotenuse

Given that;

cos(θ) = Adjacent / Hypotenuse

Cos(θ) = 25ft/31ft

Cos(θ) = 0.80645

θ = cos⁻¹( 0.80645 )

θ = 36.2°

Therefore, the angle of depression from the top of the flag pole to point A is 36.2 degrees.

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Using proportions, the selling prices are given as follows:

1. $46.92.

2. $15.29.

3. $17.16.

4. $20,280.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

To find the selling prices, we have to multiply the original prices by either 1.02(2% sales tax) or 1.04(4% sales tax), hence they are given as follows:

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Answer:900

Step-by-step explanation:

"Draw a ray with one endpoint" demonstrates the correct first step in copying an angle. This is further explained below.

In general, the distance (which is sometimes stated as a degree) that occurs between two crossing lines or surfaces at or near the point where they meet. This distance might be positive or negative.

The formation of an angle is caused by the conjunction of two rays at a single point in space. The split or 'opening' that can be seen between these two rays is referred to as a 'angle,' and the symbol denotes this particular angle. The degree is the standard unit of measurement for angles, and its values include things like 60 degrees and 90 degrees, amongst other possible combinations.

In conclusion, "Draw a ray with one terminal" illustrates the correct first step in duplicating an angle. This step shows how to replicate an angle.

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The line which is having same y intercept as the line which passes through points (-4,0) and (0,3) is y=2x+3.

Given Points through which the line passes through are (-4,0) and (0,3)

We have to find the equation whose y intercept is equal to the y intercept of the line whose points given above.

First of all we have to find the y intercept of the line which passes through (-4,0) and (0,3). Equation of line is :

y-y1=(y2-y1)/(x2-x1)*(x-x1)

y-0=(3-0)/(0+4)  *(x+4)

y=3/4(x+4)

y -intercept exists where x=0

put x=0

y=3

So the options are:

By putting the value of x in all options we will find

y=-4

y=-3

y=3

y=4

So the third option is correct.

Hence the line whose y-intercept matched with the given line is y=2x+3.

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Answer:

a

Step-by-step explanation:

Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Answer:

x = ±6

Step-by-step explanation:

9 : x = x : 4

9/x = x/4

Cross multiply.

x² = 9 × 4

x² = 36

x = ±√36

x = ±6

Answer:

B

Step-by-step explanation:

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{a}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

a = 7 × 2 = 14

Answer:

In fraction form: 77/24

In decimal form: 3.20833

Step-by-step explanation:

That took me a while to solve but that’s the correct answer.

Hope that helps! :)

See below for the explanation on how to determine the coordinates.

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine coordinates.

Assume that the start point of the buoy is

(x, y)

And the length of the buoy is k.

Depending on the position of the bouy on the coordinate plane, the endpoint can be any of the following coordinates (x - h, y), (x + h, y), (x, y + h) and (x, y - h)

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The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

Area of a Rectangle is 10 sq. unit

Width of the Rectangle is x unit

Length is given by  

l(x) = 10 / x

When the length of the Rectangle is increased by 1 ,

The new function will be

l(x) = 10 /(x+1)

The new translated function will be more towards the origin , as the value of length is decreased ,

This is represented by Graph 3 ,

This can be proved by keeping the value of x

let x = 2

y = 10 /3 = 3.333

This is only in the graph 3 , Therefore Option C is the right answer.

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Pedro Fernández should advice his client to go with the second mutual fund named as Fund Corporation. This is because, it showed an higher average return over the five-year period at an average of 11% beating Trujix Inc by 3%.

To get the better fund, Pedro must calculate a simple average of the interest rates of the various funds over the past 5 year period.

Trujix Inc 5-Year Average

(12 + 10+ 3 +9 + 11)/5

= 45/5

=9%

Fund Corporation 5-Year Average

(13 + 12 +14 + 10+ 6)/5

= 55/5

= 11%

Hence, the better investment is the one by Fund corporation.

Full Question

Pedro Fernández is a manager at Avon Chic, Pedro was interested in the rates of return for the last five years of two different mutual funds. Trujix, Inc., showed a five-year period, rates of return of 12; 10; 3; 9 and 11%, while Fund Corporation showed 13; 12:14:10 and 6%. A client approached Pedro and expressed his interest in one of these mutual funds. Which one should Pedro choose for his client?

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The number of sugar cubes in the box is 180

The given parameters are:

Multiply 61 and 88 by 2 and 3

61 * 2 = 122

61 * 3 = 183

88 * 2 = 176

88 * 3 = 264

The number of sugar cubes cannot be 122 and 264, because they are out of the range

So, we have:

183 and 176

There are 5 layers.

This means that the number of sugar cubes is divisible by 5.

The only number between 176 and 183 that is divisible by 5 is 180

Hence, the number of sugar cubes is 180

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The months with temperature below 0° is August and October.

GIven,

T(m) = 4 sin (π/6 m)₊2

In the above equation, T(m) is the average temperature in a month in degrees Fahrenheit, and m is the month of the year.

T(8) = 4 sin (8π/6 m)₊2

       = 4 sin (4π/3 )₊2

       = 4 sin (π₊π/3 )₊2

       = ₋4 sin π/3 ₊2

       = ₋4×√3/2 ₊2

       = ₋2√3 ₊ 2 <0

The function for the average monthly temperature, in m months from january is given by

T(0) = 4 sin(10π/6) ₊ 2

       = 4 sin(5π/3) ₊ 2

       = 4 sin(2π ₋ π/3) ₊ 2

       = - 4sin π/3 ₊ 2 = ₋4 × √3/2 ₊ 2

        = ₋2√3 ₊2<0

we can notice that after january, from august till october the months will face temperature below 0 degrees.

So the answer is August and October.

Your question is incomplete. Please find the missing content here.

The average monthly temperature T(m), in degrees Celsius, in a particular city varies according to the model T of m equals 4 times sine of the quantity pi over 6 times m end quantity plus 2 comma where m represents the months of the year and January begins at m = 0. Between what months will the temperature be below 0°C?

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Since the correlation coefficient has an absolute value that is less than 0.6, it is not a strong relationship, hence the statement is False.

In this problem, the correlation coefficient is of 0.08, hence:

Thus, the given statement is False.

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Step-by-step explanation:

The point that is a solution to the system of inequalities on the coordinates grid is A.

It should be noted that form the information given, the expression is y < −2x + 10. In this case, draw the solid line y = -2x + 10.

Shade the region below the like for x = 5.

y = -2(5) + 10

= -10 + 10

= 0

For x= 0

y = -2(0) + 10

= 0 + 10

= (0, 10)

The diagram is attached.

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