Can anyone help me with the answer please

The distance from the pole at which the cable is anchored is about 25 feet from the pole .

Given that a 35-foot cable is run from the top of the pole and anchored to the ground at a distance from the pole. The problem is to determine about how far away from the pole would it be anchored.

Let AB be the pole of length 40 feet, and CD be the 35-foot long cable anchored to the ground at D and attached to the top of the pole at C. Let E be the point on the ground at which the cable is taut and is anchored. The distance ED is to be determined.

we can see that ∆CDE is a right-angled triangle with ∠CED = 90°.

Using Pythagoras Theorem, we have:CD² = CE² + DE²35² = (40 - ED)² + DE² .

Simplifying the above equation

1225 = 1600 - 80ED + ED²

1225 - 1600 + 80ED - ED² = 0ED² - 80ED + 375 = 0

Factorizing the above quadratic equation

ED² - 25ED - 15ED + 375 = 0ED(ED - 25) - 15(ED - 25)

  = 0(ED - 15)(ED - 25) = 0So, ED = 15 ft or ED = 25 ft.

The negative value of ED is extraneous since it represents a point below the ground, which is not possible. Therefore, the distance from the pole at which the cable is anchored is about 25 feet from the pole.

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a)

i) The mean number of refunds given in the summer is 21.

ii) The mean number of refunds given in the winter is 20.

b) The answer to part a) does NOT support the hypothesis.

To calculate   the mean number of refunds given in the summer and winter,we need to find the average of the  values for each season over the given years. Let's calculate  -

a) Mean number of refunds given in the summer  -

(20 + 15 + 10 + 15 + 32 + 34) / 6

= 126 / 6

 = 21

b) Mean number of refunds given in the winter   -

(24 + 10 + 15 + 18 + 26 + 27) / 6

= 120 / 6

= 20

The mean   number of refunds given in thesummer is 21, and the mean number of refunds given in the winter is 20.

b) Based on the calculated means, the answer to part a) does NOT support the hypothesis.

The mean number   of refunds given in the summer (21) is greater than the mean number of refunds given in thewinter (20), indicating that more refunds are   given in the summer than in the winter, contrary to the hypothesis.

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Answer:

$1050

Step-by-step explanation:

$600*15%*5=$450 interest

interest+borrowed=loan

$450+$600=$1050

I don't know the monthly payment sorry

To find the slope of a line use two points (x,y) in the next formula:

In the given line you have the points: (-4, -9) and (-2, -3)

Answer:

What grade are you in?

Step-by-step explanation:

6. 16 divided by 4 is 4

Then your keep going like 8 is 25 divided by 5 which is 5.

9. 120 divided by 4 is 30

10. 36 divided by 6 is 6

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer: A

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

hope this helps✨

The initial velocity is  0 m/sec

The car speed up to 72km/h which is equivalent to  36m/sec

The acceleration of the car is 2.88 m/sec².

Acceleration is the rate of change of the velocity of an object with respect to time. Vector quantities are accelerations. Acceleration = (Final Velocity - Initial Velocity)/ Time taken

Given that car can accelerate from rest to 72km/h in 12.5 seconds. Therefore, we can write:

Initial Velocity = 0 m/sec

Final Velocity = 72 km/hr = 72×(0.50) m/sec = 36m/sec

Time taken = 12.5 second

Now, the car’s acceleration in m/s can be written as,

Acceleration = (Final Velocity - Initial Velocity)/ Time taken

(36 m/sec - 0 m/sec)/12.5 seconds

= 2.88 m/sec²

Hence, the car’s acceleration in m/s is 2.88 m/sec².

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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the answer is 4/5 this is know to be hard

The Solution:

Given:

Step 1:

Find the slope of a line that is perpendicular to the given line.

The slope is:

Where:

The formula for the equation of a line is:

Substitute:

Therefore, the correct answer is:

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Using the output expenditure model, the purchase of the bicycle would be an example of C) consumer spending.

Consumer spending is the expenditure made for the purchase of final goods and services by individuals and households.

In this situation, Dennis as a consumer is not a business organization, government institution, or an exporter, but an individual.

The expenditure for the purchase of a new bicycle is an expense for a final good.

Thus, under the output expenditure model, the purchase of a new bicycle is not a business investment, government spending, or a net export, but it is a consumer spending.

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The height of the building will be 897.6 feet if the angle of elevation is 5 degree and distance is 2 miles.

The height, length of angle of elevation and the base of the triangle will form the right angled triangle. Thus, to find the height, we will use the formula -

tan theta = perpendicular ÷ base, where theta is the angle of elevation.

Now, keep the values in formula to find the height of the building.

height = tan 5 × 2

Keep the value of angle

height = 0.087 × 2

Performing multiplication on Right Hand Side of the equation

height = 0.17 mile

As per the known information, 1 mile = 5280 feet

So, 0.17 mile = 897.6 feet

Thus, the height of building is 897.6 feet.

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Sebastian's basis in the two assets are: $42,389 and $66,611

The computation of the Sebastian's basis in these two assets is shown below:

= Market value of the first piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($76300 ÷ $(76300 + 119900)) × $109,000

= $42,389

= Market value of the second piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($119,900 ÷ $(76300 + 119900)) × $109,000

= $66,611

The Total market value of two pieces of equipment

= $(76300 + 119900)

= $196,200

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Answer:

(1, -3)

Step-by-step explanation:

To find the solution of the system of linear equations, first you need to set them equal to each other and solve.

y = x-4

y = -2x-1

x-4 = -2x-1

x + 2x = -1 + 4

3x = 3

x = 1

To find the corresponding y-value, plug the calculated x into one of the equations (it doesn't matter which one you choose because they will give the same result).

y = x-4

y = 1 - 4

y = -3

If the graph hadn't been provided, you could check this problem by plotting both equations and determining their intersection. Since the graph was provided you can just compare your results to the shown intersection.

Answer: (1,-3)

Step-by-step explanation: The solution of a system of linear equation is where the two lines intersect, in this case, (1,-3). (that's why the dot is there)

The type of function that describes function g(x) is given as follows:

Polynomial function.

The first step in classifying the function is looking at the number of zeros of the function.

When a function begins an interval with a positive/negative sign, and then ends the interval with a different sign, it means that there is a zero on the interval, hence the function in this problem has at least two zeros, given as follows:

Due to this, the function is either polynomial or rational. As the function is continuous over it's entire domain, it is a polynomial function.

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Answer:

Polynomial

Step-by-step explanation:

I got it right on the test.

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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9514 1404 393

Answer:

  B.  9 cm

Step-by-step explanation:

The number of face masks Ray can make with 20 m of cord is ...

  (20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks

To make one more mask, he will need to buy an additional amount of ...

  (196 -195.12195)×(10.25 cm) ≈ 9.00 cm

Ray would need to add 9 cm of cord to his order.

The upper quartile line of the box plot be placed at D

The left and right sides of the box are the lower and upper quartiles.

In the given figure the A represents the minimum value

The point E represents the maximum value

The point B is the lower quartile of the data

The point C is median of the data

The point D is the upper quartile which is 56

Hence, the upper quartile line of the box plot be placed at D

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Answer:

Step-by-step explanation:

If you draw a horizontal line through the shaded triangle such that it intersects the left vertex, you see that it bisects the 60° angle at that vertex. The measure of x is the same as the measure of either half of that bisected angle, so is 30°.

The pitch associated in the table with an angle of 30° is 7.

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

Answer:

z = 92/9 or 10.222

Step-by-step explanation:

Use PEMDAS, then simplify

-9 (z+8) = -92 - 72

-9z - 72 = -164

-9z = -164 + 72

-9z = -92

9z = 92

z = 92/9, or 10.222 in decimal form

Answer:

angle d =35, e=55, f=55.............

number of favourable outcome to d is 2

number of possible outcome is 3

p(D)=2/3

p(D, D) =p(D)×p(D)

p(D,D) 2/3 ×2/3

p(D,D)=4/9

probability =4/9 (D)

The number of pounds of strawberries sold and the number of pounds of grapes sold is 32 and 20 respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given that the selling price of strawberries each pound = $2.50,

The selling price of grapes each pound = $2

The total earning = $160

Let x is the no of a pound of strawberries and y is the no of a pound of grapes sold, then equation will be,

x = y + 12 and 2.50x + 2y= 160

Solve the equation by substitution method;

x = 32 and  y = 20

Therefore, the number of pounds of strawberries sold is 32

the number of pounds of grapes sold is 20.

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According to Polynomial System, the correct answer is that the roots of f(x) are (x+1).

A polynomial system (sometimes just a polynomial system) is a set of simultaneous equations f₁ = 0,..., fₙ = 0. where fi is a polynomial in multiple variables such as x₁,..., xₙ over the fields. k.

This is due to the zero product property that when two binomials are multiplied by 0, one of their factors must be 0.

A simple example of a system of polynomial equations is

x²+y²- 5 = 0

      xy-2 = 0.

Its solutions are the four pairs (x, y) = (1, 2), (2, 1), (-1, -2), (-2, -1). These solutions are easily verified by substitution, but proving that there are no other solutions requires more work.

Based on above description, we can say that:

(x+1) must be 0.

(x+1)=0

x=-1

Thus, If (x-1)=0 then x is 1 instead of -1 in question.

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