What are the values of x, y, and z ?

Hi pls help me ty in advance

Anna35 [415]

A right angle = 90 degrees

A round angle = 360 degrees

1. 3 x 90 = 270 degrees

2. 4 x 90 = 360 degrees

3. 1 1/2 x 90 = 135 degrees

4. 2 1/3 x 90 = 210 degrees

5. 2/9 x 360 = 80 degrees

6. 3 3/8 x 360 = 1,215 degrees

5 0

2 years ago

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

4 years ago

What is the length for X

Scilla [17]

Answer:

x = 5

Step-by-step explanation:

3^2 + 4^2 = x^2

9 + 16 = x^2

25

Now we need to find the square root of 25 :)

The answer is 5

X = 5

Have a great day!!

Please rate and mark brainliest!!

3 0

2 years ago

6.{6.G.A.4} Find the surface area. Answer without units. *

Agata [3.3K]

Answer:

392

Step-by-step explanation:

3 rectangular faces

7 x 16 = 112

2 triangular faces

1/2 x 7 x 8 = 28

Total surface area:

112 + 112 + 112 + 28 + 28 = 392

3 0

3 years ago

Math - Ratios

Llana [10]

The answer is 9 : 5
36:20
18:10
9:5

8 0

3 years ago