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4 years ago

What is the percent decrease between 3 to one half

Mathematics

1 answer:

m_a_m_a [10]4 years ago

5 0

((3-.5)/.5) x 100
that will give you your answer

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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:

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

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

7 0

3 years ago

The number of dimes in Kiara's collection is 13 more than 5 times the

adelina 88 [10]

Answer: I don’t think I understand can you set this up differently so I can answer this please

Step-by-step explanation:

6 0

3 years ago

What is the lowest terms fraction is equal to 15%

Svetach [21]

% means divide by 100.
So 15 divided by 100 would be 15/100.

Simplify 15/100 by dividing by common factor of 5.
3/20

7 0

3 years ago

Simplify.<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7B20%2B5%7D" id="TexFormula1" title="\sqrt{20+5}" alt="\sqrt{20+5}" alig

Molodets [167]

Answer:

√(20 + 5) = 5

Step-by-step explanation:

Let's solve the problem,

→ x = √(20 + 5)

→ x = √25

→ [ x = 5 ]

Hence, the answer is 5.

3 0

1 year ago

Read 2 more answers

Solve the system of equations by substitution.

n200080 [17]

Answer:

x = -8

y = -6

Step-by-step explanation:

y = -2x - 22

y = x + 2

x + 2 = -2x - 22

x + 2x = -22 - 2

3x = -24

x = -24 : 3

x= -8

y = -8 + 2

y = -6

4 0

2 years ago