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valentinak56 [21]
3 years ago
13

Which statement about 159° is correct?

Mathematics
1 answer:
lbvjy [14]3 years ago
7 0

Answer:

A. cos 159 < 0

Step-by-step explanation:

just did it!

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A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 in and then s
Bas_tet [7]

Answer:

Step-by-step explanation:

m=\frac{3}{32}\\ \gamma =0\text{ damping constant.}\\ k=\frac{3}{\frac{1}{4}}=12\\ F(t)=0\\ \text{so equation of motion is }\\ mu''+\gamma u'+ku=F(t)\\ \frac{3u''}{32}+12u=0\\ u''+128u=0\\ \text{and initial conditions are}\\ u(0)=-\frac{1}{12}\\ u'(0)=2\\ u''+128u=0\\ \text{characterstic equation is}\\ r^2+128=0\\ \text{roots are }\\ r=\pm 8\sqrt{2}i\\ \text{therefore general solution is}\\ u(t)=A\cos8\sqrt{2}t+Bsin8\sqrt{2}t\\ \text{using initial conditions we get}\\ A=-\frac{1}{12}\\ B=\frac{\sqrt{2}}{8}\\ \text{therefore solution is }\\ u(t)=-\frac{1}{12}\cos8\sqrt{2}t+\frac{\sqrt{2}}{8}\sin8\sqrt{2}t\\&#10;{hence}\\R=\sqrt{\frac{11}{288}}\\\\\sigma=\pi - \tan^{-1}\frac{1}{\sqrt{2}}\\\\\omega_0=8\sqrt{2}\\T=\frac{4}{4\sqrt{2}}

3 0
3 years ago
A.) it has no reflectional symmetry
coldgirl [10]

Answer:

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

Step-by-step explanation:

i) the shape shown in the figure has reflectional symmetry with four lines of symmetry. There are four lines of symmetry such that each line when drawn divides the shape into two exact halves such that if each half were too be folded across the line of symmetry it would produce the other half exactly.

Therefore Option A.) and Option B.) are not true

ii) It has  point symmetry which means if the shape is rotated by 180 degrees the shape does not change. Therefore Option C.) is not true.

iii) the shape has rotational symmetry because if the shape is rotated though any between 0 degrees and 360 degrees the shape appears to be unchanged.

Therefore the correct options are

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

5 0
3 years ago
Which has a sum = to 2 3/8 +3 4/8?
monitta
B) 19/8 + 28/8

have a great day!
3 0
3 years ago
f five times a number is subtracted from twelve times a number, the result is seven less than twice the number. Find the number
gayaneshka [121]
12x-5x=2x-7
7x=2x-7
x=-7/5
7 0
3 years ago
In the equation above c is a constantly . if n =5 , what is the value of c ?
Vaselesa [24]

Answer:

D

Step-by-step explanation:

5 - Sqrt 11 + 5 = 1

5 - Sqrt 16 = 1

5 - 4 = 1

8 0
3 years ago
Read 2 more answers
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