A guy wire runs from the top of a cell tower to a metal stake in the ground. Joseph places a 8-foot tall pole to support the guy wire. After placing the pole, Joseph measures the distance from the stake to the pole to be 8 ft. He then measures the distance from the pole to the tower to be 25 ft. Find the length of the guy wire, to the nearest foot.

Answer:

x = 5

Step-by-step explanation:

Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0

x - 5 = 0

x = 5

I hope this helps!

Answer:

She needs 40.4 feet of wood.

Step-by-step explanation:

➾ She had 8 pieces of wood that are 6.2 feet each, so total length of wood she had = 8×6.2

= 49.6feet.

➾She needs total 90feet. of wood and she had already 49.6 feet of wood.

So, now wood she needed = 90-49.6

= 40.4feet.

____________________________

Hope it helps you:)

Answer:

She needs 40.4 feet of wood

Step-by-step explanation:

Given :-

To find:-

Solution:-

Amount of wood she needs more :-

Wood she wanted to complete project — Wood she already have

by putting the value ,

90 feet — 8 × 6.2 feet

= 40.4 feet

Answer:

20 mins.

Step-by-step explanation:

A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?

x = hours she babysat

Equation:

15x = 5

Divide to isolate x:

15x = 5

/15   /15

x = 1/3 hrs.

Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15

We know that there are 60 mins. in an hour

60 * 1/3

60/3

20 mins.

Therefore, the babysitter was there for 20 mins.

Hope this helps!

Answer: (51ab^2)/(20c)

STEP

1

:

Equation at the end of step 1

 ((17•(a3))•(b2)) ((18•(b4))•(c3))

 ————————————————•————————————————

 ((15•(b3))•(c2))  ((23a2•b)•c2)  

STEP

2

:

Equation at the end of step

2

:

 ((17•(a3))•(b2)) ((2•32b4)•c3)

 ————————————————•—————————————

 ((15•(b3))•(c2))    23a2bc2  

STEP

3

:

           (2•32b4c3)

Simplify   ——————————

            23a2bc2  

Dividing exponential expressions :

3.1    b4 divided by b1 = b(4 - 1) = b3

Dividing exponential expressions :

3.2    c3 divided by c2 = c(3 - 2) = c1 = c

Dividing exponents:

3.3    21   divided by   23   = 2(1 - 3) = 2(-2) = 1/22

Equation at the end of step

3

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

 ((15•(b3))•(c2)) 4a2

STEP

4

:

Equation at the end of step

4

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

   ((3•5b3)•c2)   4a2

STEP

5

:

Equation at the end of step

5

:

 (17a3 • b2)   9b3c

 ——————————— • ————

  (3•5b3c2)    4a2

STEP

6

:

             17a3b2

Simplify   —————————

           (3•5b3c2)

Dividing exponential expressions :

6.1    b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b

Equation at the end of step

6

:

  17a3   9b3c

 ————— • ————

 15bc2   4a2

STEP

7

:

Dividing exponential expressions :

7.1    a3 divided by a2 = a(3 - 2) = a1 = a

Dividing exponential expressions :

7.2    b3 divided by b1 = b(3 - 1) = b2

Dividing exponential expressions :

7.3    c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c

Final result :

 51ab2

 —————

  20c

Answer:

We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.

Out of those 6 sides, they want to find out if we can roll a number less than 3.

First, let's find how many numbers there are on this die that are less than 3.

1 and 2, so there are 2 sides that contain numbers less than 3 on this die.

So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.

1/3 probability.

Convert this into a percent if you'd want:-

1/3 · 100

= 33.333... which can be rounded to a 33% probability.

Answer:

Step-by-step explanation:

hello :

y=2x²−12x+16

y = 2(x²-6x+9-9)+16

y = 2(x-3)²-18+16

y = 2(x-3)²-2.....vertex -form when the vertex is : (3, -2)

Answer:

1500-325

=1125

Step-by-step explanation:

1500 minutes minus 325 minutes is equal to 1125 minutes remaining

Answer:

the last one

Step-by-step explanation:

(clustered around 1 and 3)

Answer:

The data are clustered from 1 to 3, so most teams won 1 to 3 games.

Step-by-step explanation:

There is only 1 dot at 8 and more near 1-3

Given:

To find:

Solving:

Using triangle inequality theorem.

[tex] \large \tt x \: <9 + 6 \: \: \: \: \: \implies \: x \: <15[/tex]

Range = difference < x < Sum

[tex]\large \tt \implies9 - 6 < x \: <9 + 6[/tex]

[tex]\large \tt \implies3 < x < 15[/tex]

Answer:

they are extension in computer

The two plans charge the same amount in 11 months.

The plan I would recommend if the plans are contracted for two months is the Fidoll plan.

The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x

Where x represents the number of months

The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll  is : $363 + $94x

Where x represents the number of months

The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x

Combine similar terms

$363 = $127x - $94x

Add similar terms

$363 = $33x

Divide both sides by 33

x = 11 months

Rongers: $127(24) = $3,048

Fidoll = $363 + $94(24) = $2619

I would recommend the Fidoll plan

To learn more about cost, please check: https://brainly.com/question/25879561

Answer:

6.7kg - 2.6kg = 4.1kg

Step-by-step explanation:

6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.

Answer:

  square

Step-by-step explanation:

A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.

Jeremy's picture is a square.

The areas of the square pyramid are the amount of space on it

The given parameters are:

Base (b) = 15 cm

Slant height (l) = 13 cm

The lateral surface area is calculated using:

L = 1.5bl

So, we have:

L = 1.5 * 15 * 13

Evaluate the product

L = 292.5

This is calculated using:

T = L + 0.25√3b^2

So, we have:

T = 292.5 + 0.25√3 * 12^2

Evaluate

T = 354.85

Hence, the total surface area is 354.85 square cm

Read more about areas at:

https://brainly.com/question/24487155

Answer:

15 different ways you can select 2 of 6 brands of orange juice

Step-by-step explanation:

Brand 1

Brand 2

Brand 3

Brand 4

Brand 5

Brand 6

1. (B1, B2)

2. (B1, B3)

3. (B1, B4)

4. (B1, B5)

5. (B1, B6)

6. (B2, B3)

7. (B2, B4)

8. (B2, B5)

9. (B2, B6)

10. (B3, B4)

11. (B3, B5)

12. (B3, B6)

13. (B4, B5)

14. (B4, B6)

15. (B5, B6)

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Take (3x + 5) common in there :

[tex]\qquad \tt \dashrightarrow \:x(3x + 5) - 4(3x + 5)[/tex]

[tex]\qquad \tt \dashrightarrow (3x + 5) (x - 4)[/tex]

So, choice D is correct

Total milligrams

COST PER MG:-

Answer:

$3.17

Step-by-step explanation:

1 pill = 3 mg

⇒ 45 pills = 45 × 3 = 135 mg

45 pills = $427.95

⇒ 135 mg = $427.95

⇒ 1 mg = $427.95 ÷ 135 = $3.17

Answer:

15m

Step-by-step explanation:

You need to do the Pythagorean Theorem:

a^2 + b^2 = c^2

*(The ^ is meaning to a power or squared in this case)*

You are solving for c which is the hypothenuse!

12^2 + 9^2 = c^2

144+81 = c^2

225 = c^2  *(The opposite of squaring something is the square root)*

c= The square root of 225

That shall be simplified to 15

According to Pythagoras theorem

Base² + perpendicular ² = Hypotenuse ²

12² + 9² = H²

144 + 81 = H²

225 = H²

H = √225

H = 15

Hypotenuse = 15m

HOPE IT HELPS :)

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Answer:

Uncle=10, Grandpa=20, Bob=20

Step-by-step explanation:

Uncle: 50* 1/5 = 10

Grandpa: 50 * 2/5= 20

Bob: 50-(10+20)=20

Step-by-step explanation:

Answer:

1. Last years middle school and highschool softball teams.

2. I can't see the last option

3. Every girl at the local middle school.

4. A group of students at a college.

5. Survey the students selected blindly put of a box containing every students names.

Step-by-step explanation:

I hope these are correct. comment the last option for #2.

Answer: -6

Step-by-step explanation:

The graph of g is the graph of f translated left 6 units.

Answer:

In 4 years you will get 44 and in 4 years and 6 months you will get 49.5

Step-by-step explanation:

550*0.02= 11 (yearly interest)

11*4 years= 44

11/12months=0.917

0.917*6 months= 5.5

44+5.5=49.5 (4 years and 6 months interest)

that is the complete answer to the question

A survey of all adults attending a car show would not provide a convenience sample to estimate the percentage of drivers who own their cars, rather than lease their cars.

A survey is a research method used to gather information from a sample of individuals about their opinions, behaviors, experiences, or demographic characteristics.

This is because a car show attracts a diverse group of people, including car enthusiasts, potential car buyers, and families looking for entertainment.

Therefore, a survey of all adults attending a car show would provide a more representative sample of the population, compared to the other options listed, which are more likely to provide a convenience sample.

A survey of adults at an auto parts store, a survey of people in a car dealership, and an online survey for sharing data about their cars are more likely to provide a convenience sample because they are only capturing the opinions of people who happen to be present at a particular place or who choose to participate in an online survey.

To know more about the survey follow

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Answer:

Collinear points: points that lie on the same straight line or in a single line

Coplanar points:  three or more points which lie in the same plane

12. Point collinear with points E and G = C. Point Y

13. Point coplanar with points A, D and H = A. Point E

14. Point coplanar with points A, C and G = A. Point E

15. Point collinear with points B and D = B. Point X

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

Collinear points — Collinear points are points that lie on the same line.

Coplanar points — Any three points in space that lie on the same plane are called coplanar points.

[tex]\green{ - - - - - - - - - - - - - - - - - - }[/tex]

Answer:

50 times.

Step-by-step explanation:

When the 2 number cubes are rolled once:

The possible outcomes for a total of 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

= 6 outcomes.

The total of all possible outcomes = 6 * 6 = 36.

So Prob( total of 7 in one throw of teh 2 cubes) =  6/36 = 1/6.

For 300 throws you would expect the total of 7 to occur

1/6 * 300 = 50.

Answer:

Step-by-step explanation:

50 IS THE ANSWEr

Answer:

y=mx

Step-by-step explanation:

I actually dont know if this is wrong I am terribly sorry I just went off of my notes.

Answer:

Below

Step-by-step explanation:

64-133+32+3-12= -46

-46/2= -23

There is no remainder