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anzhelika [568]
3 years ago
7

a 18 ft tall statue standing next to a globe casts a 12 ft shadow. Of the globe casts a shadow that is 2 ft ling, then how tall

is it?
Mathematics
1 answer:
Igoryamba3 years ago
4 0
<h3>Answer:</h3>

3 ft

<h3>Step-by-step explanation:</h3>

The statue's height is 1.5 times the length of its shadow, so we expect the same relationship for the globe.

... 1.5 × 2 ft = 3 ft

_____

<em>Comment on the problem</em>

As a practical matter, with the sun high enough in the sky to cast a shadow shorter than the object's height, it will be quite difficult to measure the length of the shadow of the point at the top of the globe. The shadow of other parts of the globe will interfere.

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Compare the difference between an independent event and a dependent event.
pshichka [43]
<h2>⚠ANSWER⚠ </h2>

<em>Dependent event is when two events are dependent events, one event influences the probability of another event whereas independent event has no effect on the probability of another event occurring. </em>

↪DEPENDENT EVENT

When two events are dependent events, one event influences the probability of another event. A dependent event is an event that relies on another event to happen first. Dependent events in probability are no different from dependent events in real life. If you want to attend a concert, it might depend on whether you get overtime at work. if you want to visit family out of the country next month, it depends on whether or not you can get a passport in time. More formally, we say that when two events are dependent, the occurrence of one event influences the probability of another event.

Simple examples of dependent events

  1. Robbing a bank and going to jail.
  2. Not paying your power bill on time and having your power cut off.
  3. Boarding a plane first and finding a good seat.
  4. Parking illegally and getting a parking ticket.

↪INDEPENDENT EVENT

An independent event is an event that has no connection to another event’s chances of happening (or not happening). In other words, the event has no effect on the probability of another event occurring. Independent events in probability are no different from independent events in real life. Where you work has no effect on what color car you drive. Buying a lottery ticket has no effect on having a child with blue eyes.

When two events are independent, one event does not influence the probability of another event.

Simple examples of independent events

  1. Owning a dog and growing your own herb garden.
  2. Paying off your mortgage early and owning a Chevy Cavalier.
  3. Winning the lottery and running out of milk.
  4. Buying a lottery ticket and finding a penny on the floor.

<u>☆</u><u>.</u><u>.</u><u>.</u><u>hope this helps</u><u>.</u><u>.</u><u>.</u><u>☆</u>

3 0
2 years ago
- If MML = (11x - 5), mJK = (4x + 26)° and mZMNL = (10x – 12),<br><br><br><br> find mZMNL.
GenaCL600 [577]

Answer:

m∠ MNL = 78º

Step-by-step explanation:

<u>Arcs meassures </u>

mML = (11x - 5)º

mJK = (4x + 26)°

<u>Angle meassure</u>

m∠MNL = (10 x – 12)º

______________________

angle measure = average of arcs

m∠MNL  = (mML+ mJK)/2

Replacing

(10x – 12)º =  ((11x - 5)º + (4x + 26)° )/ 2

10x -12 =  (15x + 21 )/2

10x - 7.5x = 10.5 + 12

2.5x = 22.5

x= 9

m∠MNL = (10 x – 12)º

             = 90 - 12

             = 78º

3 0
3 years ago
A salesman is carrying a big bag for selling a machine. In addition to the machine that the salesman wants to sell, there is som
stira [4]

The total weight of the bag that the salesman is carrying for selling a machine including some personal stuff is 13.9 Kg.

<h3>What is a fraction?</h3>

A fraction is a rational number that consists of a numerator and a denominator, used to represent a part of the whole thing.

<h3>Calculation:</h3>

It is given that,

A salesman is carrying a big bag for selling a machine.

Consider the weight of the machine = w

So,

The weight of his machine is three kilograms and half a machine. I.e.,

w = 3kg +w/2

⇒ w/2 = 3kg

∴ w = 6kg

Thus, the weight of the machine is 6 Kg.

So, the weight of the repair tool for the machine = a half kilogram and one-fourth of the machine

⇒ 1/2Kg + 1/4w

⇒ 1/2 + 6/4

⇒ 2 Kg

The personal stuff weighs - four kilograms minus a fourth of the weight of the machine.

⇒ 4Kg - w/4

⇒ 4 - 6/4

⇒ 2.5 Kg

He has some supplies that weigh two-fifth of the machine and personal stuff combined.

⇒ 2/5(w + 2.5)

⇒ 2/5 × 8.5

⇒ 3.4 Kg

Thus, the total weight of the bag = 6 Kg + 2 Kg + 2.5 Kg + 3.4Kg =  13.9Kg.

Therefore, the total weight of the salesman's bag is 13.9 Kg.

Learn more about fractions here:

brainly.com/question/78672

#SPJ4

7 0
2 years ago
Identify the interval that is not equal to the other three 15-19 30-34 40-45 45-49
Lunna [17]

Answer:

45-40

Step-by-step explanation:

The first interval is 15-19.

The width of this interval is: 19-15=4

The second interval is 30-34.

The width of this interval is: 34-30=4

The third interval is 40-45.

The width of this interval is: 45-40=5

The fourth interval is 45-49.

The width of this interval is: 49-45=4

<h3>Therefore the interval that is not equal to the other three is 45-40</h3>
5 0
3 years ago
A scuba diver is diving at a constant rate when her
Helen [10]

Answer:

-0.25 ; 120 seconds 72 seconds

Step-by-step explanation:

Dive rate is constant :

Change in elevation after 8 seconds :

18 feets to 20 feets below

Rate of change = distance / time

(18 - 20) feets / 8 seconds

(-2 / 8) = - 0.25 feets per second

To reach 50.feets :

She needs to cover (50 - 20) = 30 feets

Time = distance / speed ; 30 feets / 0.25 = 120 seconds

4 0
3 years ago
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