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nexus9112 [7]
3 years ago
5

Question vvvvvvvvvvvvvvvvvvvvvvvvvvvvvv

Mathematics
2 answers:
mamaluj [8]3 years ago
7 0
X=28 and x=0 hope this helps
gavmur [86]3 years ago
3 0

Answer:

x = 28 and x = 0

Step-by-step explanation:

Find all solutions for x by breaking the absolute value into the positive and negative components.

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A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
What is the diameter of a circle with a radius of 5.4 cm
BabaBlast [244]

Answer: 10.8 cm.

Step-by-step explanation: The diameter of a circle is 2*radius. 2*5.4 = 10.8 so the answer is 10.8 cm.

5 0
3 years ago
Given a = 4 and b = -2, evaluate -|b - a|. Please help!
Sergeeva-Olga [200]
The answer is:  - 6 .
_____________________________________________

Evaluate the value INSIDE the "bars". 
  b - a  =  -2  -  4  = -6 .  The absolute value of the value inside inside the bars is the "positive" number of that value.  The value is negative 6; so, the absolute value, or "magnitude", of "-6", is "6";  Then, then "-" (6) = -6.  So the answer is: -6 .
___________________________________________________

6 0
3 years ago
Find the measure of angle K.
BabaBlast [244]
Every triangle have three angles that add up to 180°. With this information, we can find out the missing angle.

The sum of three angles should add up to 180°. 

148° + 11° + K = 180°

Where k is the missing angle.

Solve for K.

Combine like terms.

148° + 11° + K = 180°
159° + K = 180°

Subtract both sides by 159°.

159° + K = 180°
159° - 159° + K = 180° - 159°
K = 21°

So, the missing length is 21°.
7 0
3 years ago
What number is the opposite of 90?
zloy xaker [14]

Answer:

-90

Step-by-step explanation:

5 0
3 years ago
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