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dedylja [7]
2 years ago
10

A helicopter floats 120m above a helipad, a dog is 85m from the helipad, if the dog could fly, how far would it have to fly to g

et to helicopter?
Mathematics
1 answer:
suter [353]2 years ago
3 0

<em>If the dog could fly, it would need to fly 147 meters to catch the helicopter</em>

This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.

Using pythagoras theorem, we have

120² + 85² = c²

c² = 14400 + 7225

c² = 21625

c = \sqrt{21625}

c = ±147 meters.

Since distance cant be in the negative, our answer is 147 m

read more about pythagoras theorem here brainly.com/question/15138986

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A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred
Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest:  Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P.  Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

                   ln 3

ln (1 + r) = ---------------

                    100

              = 1.0986 / 100 = 0.01986

We must solve this for r.  Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today.  Use the same equation:  A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

or

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0
2 years ago
How do you multiply a whole number with a mixed number
marta [7]
You would change the whole number to a fraction by putting it over 1 and make the mixed number an improper fraction by multiplying the whole number part of the mixed number by the denominator and then and the numerator
6 0
2 years ago
Help please I don’t understand
MaRussiya [10]

set them equal to their sum. which in this case is 141 then solve for x and plug it into your original equation to get your answer.

3 0
3 years ago
Compute: (3.5· 2/7 − 2/3 )÷16
velikii [3]

Answer:

≅ 0.02083333

Step-by-step explanation:

(3.5 * 2/7 - 2/3)÷16 = 1

48

≅ 0.02083333

1: Conversion a decimal number to a fraction: 3.5

2: Multiple: 3.5 * 2

7

= 7 · 2

2 · 7

= 14

14

= 1 · 14

1 · 14

= 1

3: Subtract:

4: Divide

<em><u>Hope this helps.</u></em>

7 0
3 years ago
You have $5,000 to invest for ten years. The Bank pays simple interest at an annual rate of 5%. Calculate your balance after 10
Mazyrski [523]

Answer: $7,500

Step-by-step explanation:

Use the formula: SI = P(1 + rt)

SI = 5000(1 + 0.05[10])

SI = 5000 + 2500

SI = $7,500

After 10 years, your balance should be $7,500

3 0
2 years ago
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