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2 years ago

Find the area of a rectangle with length (x+3) units and breath (x-2 units

Mathematics

1 answer:

Luda [366]2 years ago

4 0

Use formula
Area = length x breadth

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If the sine ratio is given, then how can sin 0/2 be determined?

pogonyaev

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos(a) }{2} }$

Example.

$\sin( \alpha ) = \frac{ \sqrt{3} }{2}$

We must find

$\sin( \frac{ \alpha }{2} )$

First, use the Pythagorean identity

$\sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1$

$( \frac{ \sqrt{3} }{2} ) {}^{2} + \cos {}^{2} (a) = 1$

$\frac{3}{4} + \cos {}^{2} (a) = 1$

$\cos {}^{2} (a) = \frac{1}{4}$

$\cos( \alpha ) = \frac{1}{2}$

Now use the half angle identiy

$\sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} }$

$= \frac{ \sqrt{1 - \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} }$

$= \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2}$

So the answer for our example is 1/2

8 0

1 year ago

What is the value of 8x135

umka21 [38]

It would be 1080

Just use a calculator

6 0

3 years ago

Read 2 more answers

5. Fill in the blanks to make the statements true.

Gre4nikov [31]

Answer:

a: 12

b: as much as what?

c: 70

d: 10 times as much

Step-by-step explanation:

a: 4 * 3 = 12

c: 700 / 10 = 70

d: 800 * 10 = 8000

8 0

3 years ago

????????????????????????????

never [62]

It would be 12.5 square miles I would appreciate the Brainliest

8 0

2 years ago

A bird releases waste from a height of

shepuryov [24]

Answer:

5secs

Step-by-step explanation:

Given the equation of the height expressed ad;

h(t) = - 16t^2 + initial height

Given that initial height = 400feet

h(t) = - 16t^2 + 400

The waste will hit the ground at when h(t) = 0

substitute

0 = - 16t^2 + 400

16t^2 = 400

t² = 400/16

t² = 25

t = √25

t = 5secs

Hence it will take the easte 5secs to hit the ground

7 0

2 years ago