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Mathematics

1 answer:

Sergeu [11.5K]2 years ago

5 0

Answer:

angle 9

Step-by-step explanation:

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The value pi/4 is a solution for the equation 3 sqrt 2 cos theta+2=-1

natulia [17]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

$3\sqrt2\cos\theta+2=-1\\\\\text{Method 1}\\\\\text{Put}\ \theta=\dfrac{\pi}{4}\ \text{to the equation and check the equality:}\\\\\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\L_s=3\sqrt2\cos\dfrac{\pi}{4}+2=3\sqrt2\left(\dfrac{\sqrt2}{2}\right)+2=\dfrac{(3\sqrt2)(\sqrt2)}{2}+2\\\\=\dfrac{(3)(2)}{2}+2=3+2=5\\\\R_s=-1\\\\L_s\neq R_s\\\\\boxed{FALSE}$

$\text{Method 2}\\\\\text{Solve the equation:}\\\\3\sqrt2\cos\theta+2=-1\qquad\text{subtract 2 from both sides}\\\\3\sqrt2\cos\theta=-3\qquad\text{divide both sides by}\ 3\sqrt2\\\\\cos\theta=-\dfrac{3}{3\sqrt2}\\\\\cos\theta=-\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\\\\\cos\theta=-\dfrac{\sqrt2}{2}\to\theta=\dfrac{3\pi}{4}+2k\pi\ \vee\ \theta=-\dfrac{3\pi}{4}+2k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\text{It's not equal to}\ \dfrac{\pi}{4}\ \text{for any value of }\ k.$

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3 years ago

(X)=x3-22x2+157x-360 divided by (x-8)

lisabon 2012 [21]

Answer: 45 tell me if im wrong

Step-by-step explanation:

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3 years ago

Mr. Z constructs a cube with 512 magnetic blocks. Students in his two classes will each make an identical cube. There are 28 stu

netineya [11]

25 plus 28 equals 53 and 512 times 53 is 27,136 so he will need 27,136 blocks for all of his students hope this helped

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3 years ago

There are 25 students in a class and 10 of the students past their algebra test what percentage of the students pass to the test

densk [106]

25 students.....10 of which passed...
percentage of students that passed : 10/25 = 0.4 = 40% <==

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3 years ago

Write all the possible names for the quadrilateral. Then give the best name.

Margaret [11]

Answer:

Rhombus, parallelogram, trapezoid, rectangle

C. quadrilateral, trapezoid; trapezoid

Step-by-step explanation:

This is a quadrilateral, it has 4 sides, it is not a rhombus because its sides aren't equal, it isn't a parallelogram because only two of its sides are parallel

7 0

2 years ago

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