The diagonals of a rectangle are 1 True False

Advanced Placement (AP)

1 answer:

Nikolay [14]4 years ago

6 0

Answer : False.

Rectangles have 2 diagonals

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Zach run faster than abby his mass is 62 kg and he uses 372n how does he accelerate

murzikaleks [220]

Answer:

Acceleration, a = 6m/s²

Explanation:

Given the following data;

Mass = 62kg

Force = 372N

To find his acceleration;

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

$F = ma$

Where;

F represents force.
m represents the mass of an object.
a represents acceleration.

Making acceleration (a) the subject, we have;

$Acceleration, a = \frac{F}{m}$

Substituting into the equation, we have;

$Acceleration, a = \frac{372}{62}$

Acceleration, a = 6m/s²

Therefore, Zach accelerates at the rate of 6 meters per seconds square.

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Which equation represents the polar form of x2 + (y – 6)2 = 36?

yanalaym [24]

Answer:

$r^2-12r\sin\theta=1$

Explanation:

We need to write the polar form of the given equation :

$x^2+(y-6)^2=36$

Put $x=r\cos\theta$ and $y=r\sin\theta$

$x^2+(y-6)^2=36\\\\(r\cos\theta)^2+(r\sin\theta-6)^2=36\\\\r^2\cos^2\theta+r^2\sin^2\theta+36-12r\sin\theta=36\ \ [\because (a-b)^2=a^2+b^2-2ab]\\\\r^2(\cos^2\theta+\sin^2\theta)-12r\sin\theta=0\\\\\text{We know that}, \cos^2\theta+\sin^2\theta=1\\\\r^2-12r\sin\theta=1$