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3 years ago

A walker on a trail travels along the path described by the parametric equations

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

no,the pathway of the walker and cub don't intersect

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An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a

chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0

3 years ago

Write the equation in y-intercept form slope 2 passes through point (5,-2)

Alenkinab [10]

<h2>Answer</h2>

The equation is y = 2x - 12

<h2>Explanation</h2>

Equation in slope intercept form is

$y = mx + b$

Where,

m = slope

b = y-intercept

Putting the value of slope in this equation:

$y = 2x + b$

From this we can solve the equation for b

$b = y - 2x$

$b = -2 - 2(5)$

$b = -12$

Now, the equation of y-intercept becomes

$y = 2x - 12$

5 0

3 years ago

What’s the probability of getting 6 or more girls from 8 births?

Lemur [1.5K]

Answer:

3/4 or 6/8

Step-by-step explanation:

6/8 when simplified is 3/4. That is the probability over the total.

8 0

3 years ago

The perimeter of an isosceles triangle is 65 centimeters. Find the length of the two equal sides when each is 10 centimeters lon

natita [175]

Answer: the length of each of the two equal sides is 25 centimeters

Step-by-step explanation:

Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.

Let y represent the length of the third side.

The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that

2x + y = 65 - - - - - - - - - 1

Each of the equal sides is 10 centimeters longer than the third side. This means that

x = y + 10

Substituting x = y + 10 into equation 1, it becomes

2(y + 10) + y = 65

2y + 20 + y = 65

2y + y = 65 - 20

3y = 45

y = 45/3 = 15

Substituting y = 15 into x = y + 10, it becomes

x = 15 + 10 = 25

5 0

3 years ago

Please answer this question

makvit [3.9K]

Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

$\log{3x^3} - \log{x^2} = \log{3x}$

while the right hand side becomes

$\log{27} - \log{x} = \log{\frac{27}{x}}$

so we end up with

$3x^2 =27 \Rightarrow x = 3$

4 0

3 years ago