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AlekseyPX
3 years ago
12

Solve 2cos x+2cos 2x=0 on the interval [0,2pi)

Mathematics
2 answers:
Anarel [89]3 years ago
8 0

Answer:

The answers are B and C, 3π/4 and 5π/4

Step-by-step explanation:

rjkz [21]3 years ago
6 0
2cosx+2cos2x=0 \\ -2sin^2x+2cos^2x+2cosx=0 \\ -2(1-cos^2x)+2cos^2x+2cosx=0 \\ -2+2cos^2x+2cos^2x+2cosx=0 \\ 4cos^2x+2cosx-2=0 \\ t=cos x \\ 4t^2+2t-2=0 \\ \Delta=4+32=36 \\ t_1= \frac{-2-6}{8}=-1 \\ t_2= \frac{-2+6}{8}= \frac{1}{2}  \\ cos x=-1 \lor cos x= \frac{1}{2}    \\ x=-\pi \lor x= \frac{5\pi}{3}
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Safe wheelchair ramp specifications require about 4.75° maximum angle to be constructed with the ground. At a particular buildin
NeTakaya

Answer:

The ramp must cover a horizontal distance of approximately 19.081 feet.

Step-by-step explanation:

Given the vertical distance (y), measured in feet, and the angle of the wheelchair ramp (\theta), measured in sexagesimal degrees. The horizontal distance needed for the ramp (x), measured in feet, is estimated by the following trigonometrical expression:

x = \frac{y}{\tan \theta} (1)

If we know that y = 1\,ft and \theta = 3^{\circ}, then the horizontal distance covered by this ramp is:

x = \frac{1\,ft}{\tan 3^{\circ}}

x \approx 19.081\,ft

The ramp must cover a horizontal distance of approximately 19.081 feet.

4 0
3 years ago
hurry plzzzzz!!!!!!!!!!!!! Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet. A
kow [346]

Answer:

B

Step-by-step explanation:

The volume of a square pyramid can be found using:

v=1/3 bh

Where b is the area of the base, and h is the height

First, let's find the area of the base

a=l*l

We know the length is 5, so we can substitute it in

a=5*5

a=25

Now we know b(area), is 25, and we know the volume is 75, so we can substitute them in

v=1/3 bh

75=1/3(25)h

Divide both sides by 1/3, or multiply both sides by the reciprocal, 3/1

225=25h

Divide both sides by 25

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3 0
3 years ago
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TEA [102]
The answer is the slope is -3/2!
4 0
3 years ago
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Please help me 0=x^{2}+2x-6
loris [4]

Answer:

x = -4.37

x = 1.37

Step-by-step explanation:

x^2+2x-6 = 0

factor

(x+4.37)(x-1.37) = 0

x = -4.37

x = 1.37

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3 years ago
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IgorC [24]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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