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2 years ago

"Four more than a number is at least 22"

Mathematics

2 answers:

xenn [34]2 years ago

7 0

Can you go to my page and help me with these questions

Reika [66]2 years ago

5 0

Answer:

4 + x < 22

that's what the equation is

Step-by-step explanation:

a number just means a variable ex: x, y

at least is this : <

so 4 + x < 22

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A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

Convert 2000 Swiss francs to Dutch guilders

Shtirlitz [24]

Answer:

2000 swiss francs equals 3920 Dutch Guilders!

Step-by-step explanation:

One Swiss Franc equals 1.96 Dutch Guilders. Having said this, we can come up with the following equation:

D = 1.96S

Where 'S' represents the swiss francs and 'D' the Dutch Guilders. Now, to convert 2000 Swiss francs, we just need to plug the value into the equation:

D = 1.96(2000) = 3920

So, 2000 swiss francs equals 3920 Dutch Guilders!

4 0

3 years ago

Match the following definition to the term.

Umnica [9.8K]

We are asked to describe into one term the definition "procedure for selecting sample elements from a total set of observations." The answer is sampling method. Sampling method is a method used by researchers to evaluate a large size of correspondents or samples such that the representive sample is still considered.

3 0

3 years ago

What is the measure of angle A?

antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0

3 years ago

Complete the square 4y^2+x+8y+1=0

sammy [17]

Answer: Simple and best practice solution for 4y^2+8y+1=0 equation. ... Begin completing the square. ... Square it (1) and add it to both sides.

Step-by-step explanation: Complete the square for x2+2x x 2 + 2 x.

4 0

2 years ago