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Sladkaya [172]
2 years ago
6

An 80-foot flagpole casts a 100-foot shadow. What is the length of a shadow if a 5-foot tall child stands beside the flagpole?

Mathematics
1 answer:
kherson [118]2 years ago
6 0

Answer: The child's shadow would be 6.25 feet.

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Which of the following is the solution set of 18 - 3n + 2 = n + 20 - 4n?
exis [7]

The solution set of the equation is all reals ⇒ 3rd answer

Step-by-step explanation:

The solution set of an function is the set of all vales make the equation true. The equation has:

  • Solution if the left hand side is equal to the right hand side
  • No solution if the left hand side doesn't equal the right hand side

∵ The equation is 18 - 3n + 2 = n + 20 - 4n

- Add the like terms in each side

∴ (18 + 2) - 3n = (n - 4n) + 20

∴ 20 - 3n = -3n + 20

- Add 3n to both sides

∴ 20 = 20

In the equation of one variable, when we solve it if the variable is disappeared from the two sides, and the two sides of the equations are equal, then the variable can be any real numbers, if the two sides are not equal, then the variable couldn't be any value

∵ The the variable n is disappeared

∵ The left hand side = the right hand side

∴ n can be any real number

∴ The solution set of the equation is all real numbers

The solution set of the equation is all reals

Learn more:

You can learn more about the equations in brainly.com/question/11229113

#Learnwithbrainly

8 0
3 years ago
Read 2 more answers
Clare travels at a constant speed, as shown on the double number line
Usimov [2.4K]

Answer:

1. 36 miles

2. 108 miles

3. 234 miles

Step-by-step explanation:

Here we have the Distance in miles, time and calculated speed as follows;

Distance (miles)                  Elapsed time (hours)              Speed (miles/hour)

       0                                        0                                          0

       72                                      2                                          36

       144                                     4                                          36

       216                                     6                                          36

Distance = Speed (miles/hour) × Elapsed Time (hour)

Therefore, in

1. 1 hour, she travels

1 × 36  = 36 miles

2. 3 hours she travels

3 hours × 36 miles/hour = 108 miles

3. 6.5 hours she travels

6.5 hours × 36 miles/hour = 234 miles.

5 0
3 years ago
PLEASEEE HURRYYY
Masteriza [31]

Answer:

(2,-5) and (2,1).

Step-by-step explanation:

We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.

A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.

Standard form of a circle is

(x-h)^2+(y-k)^2=r^2

where, (h,k) is center and r is the radius.

(x-(-2))^2+(y-(-4))^2=(5)^2

(x+2)^2+(y+2)^2=25

Now, put x=2.

(2+2)^2+(y+2)^2=25

(4)^2+(y+2)^2=25

(y+2)^2=25-16

(y+2)^2=9

Taking square root on both sides.

y+2=\pm\sqrt{9}

y+2=\pm3

y+2=-3\text{ or }y+2=3

y=-5\text{ or }y=1

So, the y-coordinates of the points are -5 and 1.

Therefore, the required points are (2,-5) and (2,1).

8 0
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Cu ochii iesiti din orbite propozitie dau coroana
Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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2 years ago
Which of the following is always true about lines of symmetry?
madam [21]
What are the answers being provided ?
4 0
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