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shtirl [24]
4 years ago
7

If C is the center of the circle, find the measure of KM

Mathematics
2 answers:
ELEN [110]4 years ago
8 0

Answer: C. 160 degrees

Step-by-step explanation:

took the test

stiv31 [10]4 years ago
6 0

Your answer is 160. Sorry about that answer above I laughed reading it hahaha.

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The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s
Norma-Jean [14]

The positions when the particle reverses direction are:

s(t_1)=55ft\\\\s(t_2)=28ft

The acceleraton of the paticle when reverses direction is:

a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

s(t)=2t^{3}-21t^{2}+60t+3

So,

- Derivating to get the velocity function, we have:

v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42

Now, substituting the times to calculate the accelerations, we have:

a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}

Now, substitutitng the times to calculate the positions, we have:

s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft

Have a nice day!

3 0
3 years ago
If a block of wood measuring 5 cm x 10 cm x 3 cm has a mass of 100 g, could it be birch wood?
Inga [223]

Answer:

It very well could be

Step-by-step explanation:

It could be any type of wood, it doesn't matter weight, volume, or size

5 0
3 years ago
Calculate the heigh (x) of the tree
marta [7]

Answer:

<h2>87 feet</h2>

Solution,

tan \: theta =  \frac{opposite}{adjacent}

tan \: 60 =  \frac{h}{50}  \\ 5 \: tan \: 60 = h \\ h = 50 \: tan \: 60 \\ h = 87 \: feet

hope this helps..

Good luck on your assignment..

8 0
3 years ago
Math question need answer ASAP
ICE Princess25 [194]
B) In triangles ABC and ABD, one side and one common angle are equal
6 0
3 years ago
Im so confused all i know is that it isn't C
hodyreva [135]
Well I’m not 100 percent sure but I believe it’s b
3 0
3 years ago
Read 2 more answers
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