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2 years ago

Please help, I will give Brainliest!!! :D

Mathematics

1 answer:

anygoal [31]2 years ago

4 0

Step-by-step explanation:

Firstly, notice that this shape is composed of ³/₄ of a circle and ¹/₂ of a square;

The lower left part is the ¹/₂ square, with only 2 sides (a left and lower side) of length 3 units;

The perimeter of this part of the shape is simply the sum of the two sides:

3 + 3 = 6

The remaining part is the ³/₄ circle, which has a radius of 3 units;

The circumference of a circle is found by the formula:

πd

d = diameter = 2 × radius

We only have ³/₄ of the circle, however, so we only have ³/₄ the circumference:

³/₄ × π(2(3)) = ³/₄ × 6π

= ⁹/₂π (or, equally, 4.5π)

So the total perimeter is the sum of the perimeter of the ¹/₂ square and the ³/₄ circle:

4.5π + 6

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Find an exact value cos(19pi/12)

dmitriy555 [2]

$cos\left ( \frac{9\pi}{12}\right )=\frac{\sqrt{2-\sqrt{3}}}{2}$

Step-by-step explanation:

We know that

cos 2x = 2cos²x - 1

So we have

$cosx=\sqrt{\frac{1+cos2x}{2}}$

Substituting $x=\frac{19\pi}{12}$

$cos\left ( \frac{19\pi}{12}\right )=\sqrt{\frac{1+cos2\left ( \frac{19\pi}{12}\right )}{2}}\\\\cos\left ( \frac{19\pi}{12}\right )=\sqrt{\frac{1+cos\left ( \frac{19\pi}{6}\right )}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{1+cos570}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}}\\\\cos\left ( \frac{9\pi}{12}\right )=\sqrt{\frac{2-\sqrt{3}}{4}}\\\\cos\left ( \frac{9\pi}{12}\right )=\frac{\sqrt{2-\sqrt{3}}}{2}$

$cos\left ( \frac{9\pi}{12}\right )=\frac{\sqrt{2-\sqrt{3}}}{2}$

3 0

3 years ago

Read 2 more answers

How do you answer this?

SVEN [57.7K]

$(m^{-2})^5=m^{-2\cdot5}=m^{-10}$

$x^2+3x-10=\\
x^2+5x-2x-10=\\
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(x-2)(x+5)$

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3 years ago

Read 2 more answers

Consider the formula P = \dfrac{ H\cdot d}{m}P=

Lilit [14]

Answer:

The productivity is measured in cubic meters per kilogram.

Step-by-step explanation:

For the formula for the productivity $P$ of the camel

$P = \dfrac{ H\cdot d}{m}$

where $H$ is the area of the hump and is measured in square meters, $d$ is the distance the camel can travel (measure in meters), and $m$ is the mass of the camel (measured in kilograms $kg$ ).