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Romashka-Z-Leto [24]

2 years ago

15

Name any two points on a horizontal line that is 4 units above the x-axis

1 answer:

hichkok12 [17]2 years ago

6 0

(1,4) (2,4) (3,4) (4,4)

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Express the area of the triangle shown below in terms of b and θ only.

Paul [167]

Given a right triangle with base, b and height, h with the angle opposide side h as θ.

The area of a triangle is given by
$A= \frac{1}{2} bh$

But,
$\tan\theta= \frac{h}{b} \\ \\ \Rightarrow h=b\tan\theta$

Therefore, the area of the triangle in terms of <span>b and θ only is given by
$A= \frac{1}{2} b(b\tan\theta)= \frac{1}{2} b^2\tan\theta$ </span>

8 0

2 years ago

Describe the set of points z in the complex plane that satisfy the given equation; |z-2|=Re(z).

OLEGan [10]

Answer:

Parabola with vertex at point (1,0) that goes to the right (see attached diagram).

Step-by-step explanation:

Let the complex number z be

$z=x+iy,$

then

$z-2=x+iy-2=(x-2)+iy\\ \\Re\ (z-2)=x-2\\ \\Im\ (z-2)=y\\ \\|z-2|=\sqrt{Re^2\ (z-2)+Im^2\ (z-2)}=\sqrt{(x-2)^2+y^2}$

and

$Re\ z=x$

Thus,

$\sqrt{(x-2)^2+y^2}=x$

Square it:

$(x-2)^2+y^2=x^2\\ \\x^2-4x+4+y^2=x^2\\ \\-4x+4+y^2=0\\ \\y^2=4x-4\\ \\y^2=4(x-1)$

This is the equation of parabola with vertex at point (1,0) that goes to the right.

3 0

2 years ago

The Global Footprint Network is an organization dedicated to the advancement of environmental sustainability around the world. T

Alexus [3.1K]

Answer:

i don't get this sorry but i'm going to try ok thanks

Step-by-step explanation:

The answer is 69.1797

4 0

2 years ago

2/3 cup of oatmeal is needed to make 10 granola bars. How many such granola bars can be made with 20 cups of oatmeal ?

Firlakuza [10]

30 granola bars
20/1×3/2= 30
~JZ
Hope it helps

5 0

3 years ago

Two sides is a triangle have the following measures. Find the range of possible measures for third side.

Snezhnost [94]

Answer:

last one

Step-by-step explanation:

the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe

5 0

2 years ago