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3 years ago

Pls helpppppppppppppp

Mathematics

2 answers:

hoa [83]3 years ago

7 0

967.61 inches is the correct answer

Marina86 [1]3 years ago

3 0

<span>The surface area is 1153.95</span>

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A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

60 m

lakkis [162]

where is your triangle mate??

hope this helps u

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5 0

3 years ago

A submarine at 21 feet below sea level suddenly moves up about 6 feet. At what depth is

Artist 52 [7]

Answer:

The submarine is 15 feet below sea level.

Step-by-step explanation:

7 0

3 years ago

Freddie is walking for a charity at a constant rate. After two hours, Freddie has walked 4 miles. At 4 hours, he had walked 8 mi

lesantik [10]

Answer:

Freddie would have walked 25 miles after 12 and a half hours.

Step-by-step explanation:

Given that Freddie is walking at a constant speed, and after 2 hours he walked 4 miles, while after 4 hours he walked 8 miles, to determine how long he walked 25 miles, the following calculation must be performed:

4/2 = Miles per hour

2 miles per hour

2X = Y

2X = 25

X = 25/2

X = 12.5

Therefore, Freddie would have walked 25 miles after 12 and a half hours.

8 0

2 years ago

Write an equation in slope intercept form m=2,(3,1)

Art [367]

<h2>Answer:</h2>

First, we must find the y-intercept of the line given the slope and a point on the line and pluging it into <em><u>slope-intercept form*</u></em>.

$1 = 2(3) + b\\\\1 = 6 + b\\\\-5 = b$

Now that we have the y-intercept, we can create the equation of this line.

$y = 2x - 5$

*Slope-intercept form: <em>y = mx + b </em>← y-intercept

↑

slope

8 0

2 years ago