A tent pole that is 8 feet tall is secured to the ground with a piece of rope that is 17 feet long from the top of the tent pole to the ground. Determine the number of feet from the tent pole to the rope along the ground.

40 feet
30 feet
15 feet
9 feet

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

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

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

2884 pieces

Step-by-step explanation:

First you have to multiply 2 and 226:

2 x 266 = 532

Then you have to multiply 4 and 558:

4 x 558 = 2352

After that you have add those two to make your answer:

532 + 2352 = 2884

There is your answer.

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

The job should be done for 1 hour

and the job will pay $56

Given, Kelly, a caterer, is investing some money in equipment and employees to help grow her business.

She spent $40 on equipment and hired a server who makes $16 per hour.

Kelly is hoping to make up these expense at the next job that is scheduled, which pays a base of $34 in addition to $22 per hour that the server works. In theory, this event could pay enough to cancel out Kelly's expenditures.

Let, her total expenditure be, E

hours she work be, x

Now, according to the question

E = 16x + 40

E = 34 + 22x

16x + 40 = 34 + 22x

6x = 6

x = 1

Hence, the job should be done for 1 hour

and the job will pay $56

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The value of the expression on evaluation is 96π / 5.

Here we have to find the value of the expression.

∫∫∫x² dV

E is indeed the solid that exists inside the cylinder x² + y² = 4 above the surface z =0.

E's precession through into xy-plane is x² + y² ≤4 where r≤2 with Ф[0, 2π].

∫∫∫ x² dV = ∫\(\int\limits^2\pi _0 {} \, \int\limits^2_0{} \, \int\limits^3r_0\) r² cos² Фrd dФ

             = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 \int\limits^3r_z=0 {} \,\)r³ cos²Ф dz dr dФ

            = \(\int\limits^2\pi _0 {} \, \int\limits^2_0 {} \,\) 3\(r^{4}\)cos²Ф dr dФ

           = 3 \(\int\limits^2\pi _0 {} \,\) 1/2 \(2^{5}\)/ 5 ( 1 + cos² Ф )dr dФ

           = 48 / 5 [( Ф + 1/2 sin 2Ф)\(]^{2\pi } _{0}\)

            = 96π / 5

Therefore the value of the expression is 96π/5.

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Answer:

7lb 12oz

Step-by-step explanation:

4lb +3lb = 7lb

6oz +6oz = 12oz

Write and equation that represents his initial savings and his weekly savings rate

Initial savings = $295

Savings per week = $75

Let the number of savings made per week = weekly savings rate be s

so weekly savings = 75 x s = 75s

Hence the total (t) that he has saved at any particular time =

Answer:

2/7=1.5/x (similar shapes)

2x=1.5 x 7

x= 1.5x7/2

The solution is

The value of x = 5.25

The value of y = 7.5

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same ( angle, side, angle)

Two sides are equal and the angle between the two sides is equal

( side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (right angle, hypotenuse, side)

Given data ,

Let the triangles be ΔABC , ΔADE , ΔAXZ where the triangles are congruent

The sides of the triangles are given

Now , from the congruent theorem ,

The 2 angles are the same , the corresponding side is the same

A right angle, the hypotenuse and a corresponding side are equal

So , from the congruent theorem , we get

2 / 7 = 1.5 / x

Multiply by 7 on both sides , we get

10.5 / x = 2

Multiply on both sides , we get

2x = 10.5

Divide by 2 on both sides , we get

x = 5.25

Therefore , the value of x = 5.25

7 / 10 = 5.25 / y

Multiply on both sides of the equation , we get

7y / 10 = 5.25

Multiply by 10 on both sides , we get

7y = 52.5

Divide by 7 on both sides of the equation , we get

y = 7.5

Therefore , the value of y is 7.5

Hence ,

The value of x = 5.25

The value of y = 7.5

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Answer:

Step-by-step explanation:

Formula

% =  (favorite sport/total surveyed) * 100

Givens

favorite sport = 25

Total surveyed = 75

Solution

% = (25/75) * 100

% = 0.33333 * 100

% = 33.3333... or 33 1/3

Answer: A

Answer:

Hey there!

Well first, don't feel bad, since trig is really hard, especially if you are just learning it.

If you've learned about SOH CAH TOA, you will see that TOA is the best identity to use here.

tangent 20=x/10

tangent 20 (10)=x

x=3.64

Let me know if you have any other trig questions, I'm always here to help :)

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

Either through decimals or finding common denominators.

Step-by-step explanation:

When you get decimals you can clearly see which is bigger and with common denominators, you can just cancel out the denominator and see which is bigger. If you'd like me to provide an example just let me know :)

Answer:

Simplify x6/7

4/5 x x6/7

Simplify 4/5

4/5 x x6/7

Finally the answer

4x6/35

Answer:

a)  \(y=-5x+70\)

Step-by-step explanation:

Choose points on the line:  (0, 70) and (4, 50)

Let \((x_1,y_1)\) = (0, 70)

Let \((x_2,y_2)\) = (4, 50)

Use the slope formula to find slope: \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\implies m=\dfrac{50-70}{4-0}=-5\)

Use point-slope form of linear equation to find equation:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-70=-5(x-0)\)

\(\implies y=-5x+70\)

Answer:Hope this helps

Step-by-step explanation:

As per the given percentage of 20, the total number of bees is 200 and on the second day, he caught 40 unique bees so the total unique bees are 140

Percentage:

Percentage refers the amount of something is expressed as if it is a part of the total which is a hundred. and the ratio can be expressed as a fraction of 100.

Given,

Sara wants to estimate the number of bees in a beehive. She catches 100 bees from the hive and marks each one with a dye. She then lets the bees go. The next day, Sara catches 50 bees from the hive. 10 of these bees have been marked with dye.

Here we need to determine the number of bees in the beehive.

Let us consider she catches 100 bees from the hive and marks each one with a dye. And then lets the bees go.

Then the next day, she catches 50 bees from the hive. 10 of these bees have been marked with dye.

So, the percentage of the dye bees in the hive will be

P = 10/50 x 100

P = 20%

Now, let the total number of the bees be x, then the total number of the bees will be

=> 100 x 2 = 200

Therefore, the total number of bees is 200.

Now, the number of unique bees will be

Unique bees = 100 + (50 - 10)

Then, the number of unique bees = 100 + 40

Therefore, the number of unique bees is 140.

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9514 1404 393

Answer:

  1,493,582.81 ft²

Step-by-step explanation:

The area of one triangular face is found using the formula for the area of a triangle:

  A = 1/2bh

  A = 1/2(755.9 ft)(610 ft) = 230,549.5 ft²

The base area is the area of a square 755.9 ft on a side:

  A = s²

  A = (755.9 ft)² = 571,384.81 ft²

Then the total surface area of the pyramid is the sum of the the areas of four (4) triangular faces and the area of the base.

  SA = 4(230,549.5 ft²) +571,384.81 ft²

  SA = 1,493,582.81 ft²

_____

Additional comment

That is about 34.3 acres.

Answer:

2

Step-by-step explanation:

Answer:

I think its the second answer

Answer:

4 units yan po sana makatulong

The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

Step-by-step explanation:

3/4

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

<95141404393>

To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Okay, here we have this:

Considering the provided data set, we are going to calculate the requested data, so we obtain the following:

Mean:

It corresponds to the result of adding all the data and dividing it by the amount of data, then we have:

Mean=(89+81+96+85+93+70+66+64+68+70)/10

Mean=782/10

Mean=78.2

Median:

First we will order the data from smallest to largest and the value that is in the center will be the median:

Sorted Data Set: 64, 66, 68, 70, 70, 81, 85, 89, 93, 96

Since 70 and 81 are in the middle, the median will be their average.

Median=(70+81)/2=151/2=75.5

Mode:

It is the data that is repeated the most, in this case it is 70 because it is twice

Range:

It is the difference between the smallest and largest value, then:

Range=96-64=32

9514 1404 393

Answer:

  (c)

Step-by-step explanation:

The denominator of the fractional exponent is the index of the root when the expression is written as a radical. The only choice with an index of 13 is the third one.

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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