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Ierofanga [76]
3 years ago
15

If an airplane passes directly over your head at an altitude of 12 kilometers, how far is the airplane from your position after

it has flown 16 kilometers farther at the same altitude?
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

20 kilometres

Step-by-step explanation:

We will imagine a triangle. The hypotenuse of the triangle is the distance between you and the plane. 16 kilometres is the aerial space between you two, in other words its the base of the triangle. 12 km is the length of the third leg of the triangle. We will apply the pythagorean theorem to find the length of the hypotenuse and the distance between you and the plane.

a^2 + b^2 = c^2

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root of 400 is c which equals 20 km.

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0.524 as a percentage
brilliants [131]

Answer:

52.4%

Step-by-step explanation:

Simply multiply the value with 100 to find the percentage

thus 0.524× 100 = 52.4%

3 0
3 years ago
URGENT!!! 50 POINTS!!! URGENT!!!!!!! Consider the polynomial functions P (x) and Q (x)​ , where neither polynomial is a constant
Nutka1998 [239]

Answer:

Always

Always

Sometimes

Never

Step-by-step explanation:

P(X) + Q(X)

Sum of two polynomials is always a polynomial.

For example, Let P(x) = 3x² and Q(x) = 5x

$ \implies P(x) + Q(x) = 3x² + 5x

This is again a polynomial.

In other words, we can say that Polynomial is closed under addition.

P(x) . Q(x)

Product of two polynomials is again a polynomial.

Let P(x) = 2x and Q(x) = a constant function, 5

Then the product = 10x, is again a polynomial.

Multiplication of two polynomials is closed.

P(x) / Q(x)

This need not always be a polynomial. When Q(x) = a constant function zero, i.e., Q(x) = 0, then the function is not defined.

But let's say P(x) = 5x² and Q(x) = x.

$ \frac{P(x)}{Q(x)} $ = $ \frac{5x^2}{x} $ = 5x, a polynomial.

So, $ \frac{P(x)}{Q(x)} $ is a polynomial sometimes.

We can, say Division is not always closed.

1/Q(x)

This could never be a polynomial. This is not even in the form of a polynomial. So, $ \frac{1}{Q(x)} $ is never a polynomial.

Hence, the answer.

7 0
3 years ago
I asked more than 10 times Still no steps to a solution
Alisiya [41]

Answer:

C 200

Step-by-step explanation:

It does not appear to be LINEAR so

Start with :

pulse rate = y = 73e^kx  

sub in x = .7      when y = 155

155 = 73 e^(.7 * k)

ln ( 155/73)  =  .7k

.75296567  = .7k

     k = 1.07567

for x = 0.9 :

pulse rate  =  y = 73 e^(1.07567 * .9)  = ~ 192      so I expect answer is 200

8 0
2 years ago
David, a platform diver, dives into the pool during practice. The height of David above the water at any given time, s, can be m
ella [17]

Check the pictures below.

if we knew the roots/solutions of the equation, we can set h(s) = 0 and solve for "s" to find out how many seconds is it when the height is 0.

if you notice in the first picture, when f(x) = 0, is when the parabola hits a root/solution or the ground, for David he'll be hitting the water surface, and the equation that has both of those roots/solutions conspicuous is

h(s) = -4.9(s - 2)(s + 1).

4 0
3 years ago
Find f(-2)for f(x)=5*3^x
damaskus [11]

f ( - 2 ) = 5 × 3^( - 2 )

f ( - 2 ) = 5 × 1/9

f ( - 2 ) = 5/9

5 0
3 years ago
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