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3 years ago

One eighth of a number is less than or equal to 3

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

Answer:

less than

Step-by-step explanation:

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Cos 4θ − cos 2θ = sin θ

hichkok12 [17]

$cos(4\theta) - cos(2\theta) = sin(\theta)$
$-2sin(\frac{4\theta + 2\theta}{2})sin(\frac{4\theta - 2\theta}{2}) = sin(\theta)$
$-2sin(\frac{6\theta}{2}sin\frac{2\theta}{2}) = sin(\theta)$
$-2sin(3\theta)sin(\theta) = sin(\theta)$
$\frac{-2sin(3\theta)sin(\theta)}{-2sin(\theta)} = \frac{sin(\theta)}{-2sin(\theta)}$
$sin(3\theta) = -\frac{1}{2}$
$sin^{-1}[sin(3\theta)] = sin^{-1}(-\frac{1}{2})$
$3\theta = -30$
$\frac{3\theta}{3} = \frac{-30}{3}$
$\theta = -10$

7 0

3 years ago

Determine if the<br> following equation is<br> linear or non-linear:<br> y = [x] - 1

schepotkina [342]

Answer:

I believe this equation is Linear

6 0

3 years ago

Printed Pages in Color Time (min), x 2 6 8 18 Number of pages, y 3 9 12 27 What is the constant of variation?

aksik [14]

Answer:

3/2

Step-by-step explanation:

formula k = y/x

comes from

y = kx

k = constant of variation

when y = 3 , x = 2

k = 3/2

8 0

3 years ago

A triangle has a base of 12 and height of 10. What is the area of the triangle in square centimeters

liubo4ka [24]

A=b×h
A=12×10
A=120
The anwser is 120 sq centimeters

7 0

3 years ago

Read 2 more answers

Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord

andrew-mc [135]

Consider the circle with center X, as shown in the figure.

Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.

Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.

SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is

$\sqrt{ XB^{2}- CB^{2}} = \sqrt{ 10^{2}- CB^{6}}= \sqrt{100-36}= \sqrt{64}=8$ units.

Answer: 8 units

7 0

3 years ago