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3 years ago

What is the area of the composite figure?

Mathematics

1 answer:

olga55 [171]3 years ago

3 0

Answer:

Step-by-step explanation:

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16) Please help with question. WILL MARK BRAINLIEST + 10 POINTS.

Katyanochek1 [597]

We will use the sine and cosine of the sum of two angles, the sine and consine of $\frac{\pi}{2}$ , and the relation of the tangent with the sine and cosine:

$\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

\cos(\alpha+\beta)=\cos\alpha\cdot\cos\beta-\sin\alpha\cdot\sin\beta$

$\sin\dfrac{\pi}{2}=1,\ \cos\dfrac{\pi}{2}=0$

$\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}$

If you use those identities, for $\alpha=x,\ \beta=\dfrac{\pi}{2}$ , you get:

$\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x$

$\cos\left(x+\dfrac{\pi}{2}\right) = \cos x \cdot \cos\dfrac{\pi}{2} - \sin x\cdot\sin\dfrac{\pi}{2} = \cos x \cdot 0 - \sin x \cdot 1 = -\sin x$

Hence:

$\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x$

3 0

3 years ago

2.5 mm<br> 2.2 mm<br> Convert to centimeters.

Elina [12.6K]

Answer:

marque sans cervelle

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not draw

Bezzdna [24]

Answer:

Option 2) 2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

We know the Parallelogram Area is given by

$A=bh$ Eqn. (1)

where

$b$ : is the base

$h$ : is the height

We are also given that the base is

$b=2x^2+2x-6$

and the height is

$h=x-4$

So we can plug these two expressions in Eqn. (1), simplify and find our Area equation as follow:

$A=(2x^2+2x-6)(x-4)\\\\A=(2x^2)(x)+(2x)(x)-(6)(x)+(2x^2)(-4)+(2x)(-4)-(6)(-4)\\\\A=2x^3+2x^2-6x-8x^2-8x+24\\\\A=2x^3+2x^2-8x^2-6x-8x+24\\\\A=2x^3-6x^2-14x+24$

Which matches Option 2. from the available ones.

3 0

3 years ago

Read 2 more answers

A bookcase has 6 shelves.

xeze [42]

Answer:

21 books are on each shelf.

Step-by-step explanation:

To solve this you need to divide 130 and 6 so you should get 21 with a remainder of 4 which is the amount of books on each shelf and the amount of books that are left over.

I hope this helps :D

8 0

3 years ago

Angelique Calculated the slope of a line that passed through points (-5,4) and (2,-3) her work is shown below. identify her erro

SOVA2 [1]

Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$