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VladimirAG [237]

2 years ago

11

A parachutists speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At the speed,

how many meters will the parachutes fall during 2 seconds of freefall. Do not round your answers.

1 answer:

Marysya12 [62]2 years ago

7 0

Does this help you at all??

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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term

Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0

3 years ago

. On Tuesday, Bellagio's Pizza sold 60 plain pizzas at $5 each; 20 meatball pizzas at $8 each; 25 Sicilian pizzas at $9 each; an

Alexeev081 [22]

The answer is D because

60 times 5=300

20 times 8=160

25 times 9=225

33 times 10=330

Then add all of them and it gives you $1,015

4 0

3 years ago

Intentionally writing a check on an account with insufficient funds should not be done. True Fals

Ede4ka [16]

False.

The above statement is false because for intentionally writing a check on an account with sufficient funds, it is only considered illegal when it is intended for check kiting, it is written above $100 and has been done more than once.

If it has been done for the 1st time with the intent of depositing an amount to cover the issued check, then it would not be illegal.

6 0

3 years ago

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe

Rama09 [41]

You can see how this works by thinking through what's going on.

In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97

What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

So the population after x years is 1200 * 0.97x

5 0

3 years ago

The figure shows square KLMN. Which of the following conditions satisfy the criteria for squares?

BartSMP [9]

Answer:

First option: Square $KLMN$ with diagonals $LN$ and $KM$ .

Fifth option: Segment $LM$ is parallel to segment $KN$ .

Step-by-step explanation:

We know that a square is quadriteral whose sides are equal.

By definition, a square has the following properties:

1) Its four sides are congruent.

2) The diagonals are congruent.

3) The angles formed by the intersection of the diagonals measure 90 degrees.

4) The opposite sides are parallel.

5) Each internal angle measures 90 degrees.

Notice in the figure that:

The diagonals of the square $KLMN$ are: $LN$ and $KM$ .

$LM$ and $KN$ are opposite sides, therefore, they are parallel.

7 0

3 years ago

Read 2 more answers