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2 years ago

6

Find the area of a square with a diagonal of 8 cm.

1 answer:

Fofino [41]2 years ago

3 0

Answer:

To find the area of a square with only the diagonal known,

Square the diagonal and divide by 2:

8^2 = 64

64/2 = 32

The area is 32 cm^2

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One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

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

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

6 0

2 years ago

Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head?

Illusion [34]

Answer:

2/3 or 4/6

Step-by-step explanation:

3 0

3 years ago

if an exterior angle of a regular polygon measures 15 degrees how many sides does it have ?a.23. b.24. c.25

dimaraw [331]

Answer:

B.24

Step-by-step explanation:

we know,

exterior angle = 360°/n(where 'n' is number of sides)

then,

15° = 360°/n

n = 360°/15°

n = 24

3 0

2 years ago

Which set is a function

julsineya [31]

B. Is the answer to your question

3 0

2 years ago

Someone help plz make sure it’s right if it is will mark brainiest:)

timurjin [86]

Answer:

39

Step-by-step explanation:

8 0

2 years ago