MATHEMATICS HIGH SCHOOL

What is x when tan24 = 5/x

Answers

Answer 1

Answer:

Answer:

x ≈ 11.23

Step-by-step explanation:

Given

tan24° = $(5)/(x)$ ( multiply both sides by x )

x × tan24° = 5 ( divide both sides by tan24° )

x = $(5)/(tan24)$ ≈ 11.23 ( to 2 dec. places )

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The variable a is the length of the ladder. The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Suppose that the length of the ladder is 5.0 meters and the top is sliding down the wall at a rate of 0.4 m/s. Calculate dx dt when h = 3.1.

Answers

Answer:

dx/dt= 0.2608 at h= 3.1 m

Step-by-step explanation:

a is the length of the ladder. a=5

by pythagorus theorem

$x^2 = a^2-h^2$

differentiating with respect to t we get

$x(dx)/(dt) = -h(dh)/(dt)$ ......1

The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom

At h= 3.1

x^2= 6^2-3.1^2 = 9.1×2.9

x= 5.1371 m

given $(dh)/(dt) =-0.4$

putting values in 1 to get dx/dt

$5.1371(dx)/(dt) = 3.1×04$ .

dx/dt= 0.2608 at h= 3.1 m

Answer:

$(dx)/(dt)$ = 0.3

Step-by-step explanation:

The given situation forms a right triangle. We have to use the Pythagorean theorem's statement to solve this problem.

The theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.

Here Hypotenuse = length of the ladder (a)

Legs are h and x.

So, using the Pythagorean theorem, we get

$a^2 = h^2 + x^2$ -------------(1)

We are given a = 5 meters, $(dh)/(dt)$ = 0.4

Now plug in a = 5 in the above equation, we get

$5^2 = h^2 + x^2$

25 = $h^2 + x^2$ -----(2)

To find the $(dx)/(dt)$ . Differentiate the above equation with respective to the time t, we get

$2h(dh)/(dt) + 2x(dx)/(dt) = 0\n$ -------(3)

We know that h = 3.1 and $(dh)/(dt)$ = 0.4.

We can find x, by plug in h = 3.1 from the equation (2)

25 = $3.1^2 + x^2$

$x^2 = 25 - 9.61$

x = 3.9

Now plug h = 3.1, x = 3.9 and $(dh)/(dt)$ = -0.4 in the derivative (3) and find dx/dt

Here we represents $(dh)/(dt)$ = -0.4 because it is sliding down

2(3.1)(-0.4) + 2(3.9) $(dx)/(dt)$ = 0

-2.48 + 7.8 $(dx)/(dt)$ = 0

7.8 $(dx)/(dt)$ = -2.48

$(dx)/(dt)$ = -2.48 ÷ -7.8

$(dx)/(dt)$ = 0.3179

When we rounding off to the nearest tenths place, we get

$(dx)/(dt)$ = 0.3

Solve for x. x/a+b=c

Answers

x=c×a-b because Every thing you do to 1 side you have to do to the other

What is the equation in point-slope form of the line that passes through the point (5,-5) and is parallel to the line represented by y = -8x - 2?

Answers

Answer: y + 5 = -8 ( x - 5 )

Step-by-step explanation:

2x+14/2 +1 = 10-x/5

please help

Answers

Hope my ans helps u

2x+14/2+1=10-x/5
3x+14/2+1=10/5
3x+8=2
3x=-6
X=-2

In the data set below, what is the mean absolute deviation? 1, 4, 2, 8, 4, 8

Answers

Answer:

4.5

Step-by-step explanation:

1±4±2±8±4±8=27

27÷6=4.5

A city in the Pacific Northwest has hundreds of sensors along a natural fault line. These sensors are part of an early detection and warning system, and they are constantly recording and storing seismic data for analysis. The sensor data are then used to predict the likelihood of an earthquake occurring at any given moment, how powerful the earthquake(s) will be, and the epicenter within a 15-mile radius. What kind of Big Data usage is this an example of:_______.

Answers

Options:.

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C. microsegmentation

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Answer:B. government operations

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Big data usage can be by Government or private persons or organisation,the data collected from the activities of the sensor concerning seismic activities is a big data for use by Government to monitor,mitigate and prepare for the Seismic activities which will take place on the Earth.

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