Two poles are 80 meters and 60 meters tall. Their bases are located at a distance of
90 meters. A grounding wire needs to connect the top of the poles with each other and the ground. At what point should we connect the wire with the ground if we wanted to use the least amount of wire? Enter the exact value of the answer
how many meters to the right of the pole with height 80 meters?

The complete statement is: N is m% of N/0.01m

From the question, we have the following parameters that can be used in our computation:

N is m% of what

Express as:

N is m% of __

Represent the blank with x

So, we have the following representation

N is m% of x

Express as an equation

m% * x = N

Divide both sides by m%

So, we have

x = N/m%

This gives

x = N/0.01m

Hence, the complete expression is N/0.01m

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Answer:2.4

Hope this helps!!Please tell me if correct.

Answer:

f(x) = [tex]\frac{-1}{3}[/tex] x - 3

Step-by-step explanation:

The slope is -1/3.  Start at the point (0,-3).  From that point go up 1 and 3 left and you will be back on the line at point (-3,-2).  The slope is negative because if you start on the very left of the graph and follow the line, you are going down hill.

The y-intercept is -3.  This is where the line crosses the y axis (0,-3).

Answer:

267557447877665776556y

Answer:

smallest angle = 45°

Step-by-step explanation:

given ratios of angles 8 : 7 : 5 = 8x : 7x : 5x ( x is a multiplier )

the sum of the 3 angles in a triangle is 180° , then

8x + 7x + 5x = 180

20x = 180 ( divide both sides by 20 )

x = 9

smallest angle measure is 5x = 5 × 9 = 45°

Based on the graph of logarithmic function log6(x – 1) = log2(2x + 2), the statement true about the graph is that the curves do not intersect. (Option A)

In the given case, two logarithmic functions are given: log6(x – 1) and log2(2x + 2). The graph of inverse function of any function is the reflection of the graph of the function about the line y=x . All logarithmic graphs in the form f(x)=logb(x) will have a vertical asymptote on the y-axis and an x-intercept at (1, 0) and will pass through (b , 1). Graphing the given function which is attached, it can be seen that the two curves do not intercept and indicates that the equation has no solution.

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The square root of 2500 (√2500) is 50

-√2500 is not a reasonable solution to the problem because the number of ice cream sold by the ice cream shop would not be a negative value

The square root is the inverse of squared hence factoring the numbers to get the numbers whose when squared is 2500 is a way to solve the problem

The factorization is done as follows

factors of 2500: 2 * 2 * 5 * 5 * 5 * 5

= 2² * 5² * 5²

square root of the factors

= √(2² * 5² * 5²)

= 2 * 5 * 5

= 50

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Answer:

the answer would be 28²

Step-by-step explanation:

I think so 28²

Check the picture below.

The length of ED is 6. The solution is obtained using triangle proportionality theorem.

What is triangle proportionality theorem?

According to triangle proportionality theorem, a triangle's other two sides are divided in the same proportion if a line drawn parallel to either one of its sides intersects the other two sides at two different spots.

In the figure, BE║CD

So, by using the basic proportionality theorem, we get

AB/BC = AE/ED    ...(i)

We are given AB= 15, BC= 5 and AE=18

So, on substituting these values in (i), we get

⇒15/5 = 18/ED

⇒3 = 18/ED

⇒ED = 18/3

⇒ED = 6

Hence, the length of ED is 6.

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Answer:

Let x be the number of adults.

adult = x

children = 500 - x

total fund raised from the adult = $7x

Total fund raised from the children = $4.5(500- x)

Total fund raised = 7x + 4.5(500 -x)

7x + 4.5(500 - x) = 7x + 2250 - 4.5x

                          = 2.5x + 2250

Ans: Total fund raised = $(2.5x + 2250)

Step-by-step explanation:

The linear equation 3 · x + 4 = 7 · x - 8 has solution x = 3. (Correct choice: C)

The linear equation 2 · x = 7 · x - 5 has solution x = 1. (Correct choice: E)

The linear equation 5 · x - 8 = 5 · x + 12 has no solution. (Correct choice: D)

In this question we find three linear equations with one variable, whose corresponding solution must be determined by using algebra properties. The complete procedure is summarized below:

Now we proceed to apply the procedure for each case:

Case 1

3 · x + 4 = 7 · x - 8

7 · x - 3 · x = 8 + 4

4 · x = 12

x = 3

The linear equation has an unique solution (x = 3). (Correct choice: C)

Case 2

2 · x = 7 · x - 5

7 · x - 2 · x = 5

5 · x = 5

x = 1

The linear equation has an unique solution (x = 1). (Correct choice: E)

Case 3

5 · x - 8 = 5 · x + 12

5 · x - 5 · x = 8 + 12

0 = 20 (CRASH!)

The linear equation has no solution. (Correct choice: D)

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The perimeter of rectangle B is equal to 29 centimeters.

What does a perimeter mean?

The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms.

Given the area of the rectangle, A is equal to the area of rectangle B.

That is 2.5(4x)=(2x-3)7

10x=14x-21

4x=21

x=5.25

The perimeter of rectangle B is the sum of all sides= 2(2x-3+7)

The perimeter of B = 4x+8=29 cm.

Therefore perimeter of rectangle B is 29 centimeters.

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The solution for this system of equations is x = 6 and y = 0.

What is the solution to the linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

We can solve this system of equations using the elimination method, or substitution method.

With the elimination method, we would multiply one equation by a constant so that we can eliminate one of the variables when we add the two equations together.

First equation: x − 4y = 6

Second equation: 2x + 2y = 12

We multiply the first equation by 2

2x - 8y = 12

Now we can add the two equations:

2x - 8y = 12

2x + 2y = 12

4x - 6y = 24

Now we can solve for x in this equation:

4x = 24 + 6y

x = 6 + 3/2 y

Substituting that value of x back into the first equation

x - 4y = 6

6 + 3/2y - 4y = 6

3/2y = 0

y = 0

Substituting y back into x = 6 + 3/2y

x = 6

Hence, The solution for this system of equations is x = 6 and y = 0.

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The name of the shape shown in figure is square pyramid. A net of the figure is shown in attached image.

In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a type of polyhedron with three or more triangle faces that meet above its base (the apex). A square pyramid is a pentahedron, a three-dimensional form with a total of five faces. The Great Pyramid of Giza is a well-known example of a real-life pyramid. When we study about pyramids, we must also learn other concepts that are related to them on a smaller scale, such as the volume and area of the pyramid.

The name of the shape shown in figure is square pyramid. A net of the figure is shown in attached image.

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Answer: 2nd gym for $60 is the better option cost wise

Step-by-step explanation: first gym is 5*35 = 175 + 150 = 325 second gym is 5*60 = 300  

300<325

a) There are 700 x 36/100 = 252 students who use public transport.

b) There are 700 - 250 = 450 female students in the school. The percentage of female students in the school is 450/700 x 100% = 64%.

a. There are 66 ways to divide 12 books between two bags.

b. There are 531,441 ways to divide 12 books between two bookshelves where order on each bookshelf matters.

c. There are 2,077 ways to divide 12 books between three bags.

d. There are 1,9,958,126 ways to divide 12 books between three bookshelves where order on each bookshelf matters.

Probability is the measure of the likelihood that an event will occur in a given set of circumstances. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. In probability theory, events are often represented by sets of outcomes, called sample spaces, and the probability of an event is defined as the ratio of the number of outcomes in the event to the total number of possible outcomes in the sample space.

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The quartic function with only two real zeros of x=0 and x=4 is x² - 4x = 0

A quartic function is a quartic polynomial, that is, a polynomial with integer coefficients whose highest degree is four. The coefficient of the variable to the fourth degree cannot be zero. Examples of quartic functions include

From the roots;

a = 0 ; b = 4

From the polynomial expressions

x² - (a +b)x + ab = 0

x² - (0 +4 )x + 0*4 = 0

x² - 4x = 0

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Parallelograms and trapezoids are both two-dimensional shapes with four sides. While they share similarities, there are some key differences between the two that help to distinguish them from each other. In this essay, we will discuss the key differences between parallelograms and trapezoids and explore how these differences can help us to identify each shape.

A parallelogram is a two-dimensional shape with four sides and two sets of parallel lines. It is a quadrilateral with opposite sides parallel to each other and opposite angles equal. A parallelogram can also have opposite sides of equal length, which is known as a rhombus. Examples of shapes that are parallelograms include squares, rectangles, and rhombuses.

A trapezoid is also a two-dimensional shape with four sides. However, unlike a parallelogram, a trapezoid only has one set of parallel lines. The two non-parallel sides of a trapezoid are called the legs, while the two parallel sides are called the bases.

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The approximate weight increase in pounds for each 1 inch increase in flower height is obtained dividing the weight by the height of a point in the graph.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

For this problem, the variables are given as follows:

The weight increase when the height increases by one inch is given by the constant of proportionality, obtained as follows:

k = y/x.

This problem is incomplete, hence the general procedure was given to answer the question.

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Answer:

To find the cut-off lengths for nails to be discarded, you can use the fact that the mean of the nail lengths is 3 inches, and the standard deviation is 0.03 inches.

The bottom 2.87% of the nails are the shortest 2.87% of the nails, and the top 3.59% of the nails are the longest 3.59% of the nails. You can use the normal distribution to find the number of standard deviations from the mean that the cut-off lengths are.

Since the manufacturer intends to discard the bottom 2.87% and the top 3.59% of nails, you can use the standard normal table to find that the cut-off lengths are -1.28 standard deviations from the mean for the bottom 2.87% and 1.28 standard deviations from the mean for the top 3.59%.

To find the cut-off lengths in inches, you can multiply the number of standard deviations by the standard deviation in inches:

Low-end: -1.28 * 0.03 inches/standard deviation = -0.0384 inches

High-end: 1.28 * 0.03 inches/standard deviation = 0.0384 inches

Rounded to two decimal places, the cut-off lengths are:

Low-end: -0.04 inches

High-end: 0.04 inches

So the manufacturer should discard nails that are shorter than

3 inches - 0.04 inches = 2.96

The function f(x) for the input values are f(-1) = -6, f(0) = -8, f(2) = 0 and f(4) = 0

From the question, we have the following parameters that can be used in our computation:

A function and a set of input values

The equation of the function is given as

f(x)={x2−14+|x−6|if x<2if x≥2

Express properly

So, we have

f(x) = {x² − 14 +|x − 6| if x < 2

        { 0 if x≥2

The function input values are given as

f(−1) , f(0) , f(2) , and f(4) .

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

For f(-1), we make use of f(x) = x² − 14 +|x − 6|

So, we have

f(-1) = (-1)² − 14 +|-1 − 6|

Evaluate

f(-1) = -6

For f(0), we make use of f(x) = x² − 14 +|x − 6|

So, we have

f(0) = (0)² − 14 +|0 − 6|

Evaluate

f(0) = -8

For f(2) and f(4), we have

f(2) = 0 and f(4) = 0

Hence, the values are f(-1) = -6, f(0) = -8, f(2) = 0 and f(4) = 0

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The number of applicants that should apply must be 52.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here,  Ten percent (10%) of applicants do not meet the basic business requirements for the job, 12% of the remaining applicants do not pass the pre-screening assessment, 23% of those remaining applicants do not show up for the interview, and 5% of those remaining applicants fail the background investigation. Let the number of applicants be x then the number of target applicants will undergo a successive change by -10%,-12%,-23%,-5%, and required number of employees is 30

x × 0.9×0.88×0.77×0.95=30

                         x             =30/0.579348

                                    x= 52(approx)

Hence, The number of applicants that should apply must be 52.

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Step-by-step explanation:

In this case, the unit rate would be:

Unit rate = 180 miles / 3 hours

Unit rate = 60 miles/hour

Answer:

60 miles per hour

Step-by-step explanation:

Given is 180 miles in 3 hours.

We know that unit rate is written as x miles per hour or we can say x miles in one hour. So in order to find the unit rate for the above rate we can express the data in fraction form as,

180miles3hours

Now to make the denominator 1 and not change the given ratio we will divide both the numerator and denominator by 3.

=180miles÷33hours÷3

On dividing we get,

=60miles1hour

Thus we get 1 in denominator or this is the only unit rate.

Thus our answer is 60 miles per hour.

The joint density of  the proportion of the capacity of the tank that is stocked & sold during the week is 1/8 and 1/2. ( a and b)

Let y1 be the percentage of the tank's capacity that is stocked at the start of the week.

y2, the percentage of the weekly capacity sold

The formula for the joint probability density function of y1,y2 is

f(y1 , y2)=  { 3y^1  ;0≤ y2≤ y1 ≤1

0, elsewhere.          

a)F(1/2,1/3)=P(Y1<=1/2,Y2<=1/3
=∫^1/2 ∫^y1 3y1 d y2 d y1
=∫^1/2 3Y1 ⎥y^2⎥y^1 dy1
=∫ ^1/2 3y1 y1 dy1
=∫ ⎥y^3/3 ⎥^1/2        
=1/8            
               

b)P(Y2<=Y1/2)=P(0<=Y1<=1,0<=Y2<=Y1/2
=∫^1 ∫^y1/2 3y1 dy1 dy2
=∫^1 3y1 ⎥ y2 ⎥ ^y1/2 dy1
=∫^1 3y1 y1/2 dy1
=∫^1 3/2y^2 dy1

=3/2 ⎥ y^3/3⎥ ^1^ 0
=1/2

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Answer:

40 C

Step-by-step explanation:

that's just what it is

Answer:

Step-by-step explanation:

an normal rectangle will have abot 4 lines of symmetry but since i can not see you rectangle i cant tell for sure