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kotykmax [81]
3 years ago
6

What is the number of degrees in the smaller angle formed by the hour and minute hands of a clock at 5:44?

Mathematics
1 answer:
Arisa [49]3 years ago
8 0

The hour hand of the clock moves 360 degrees in 12 hours.

The quantity of degrees the hour hand moves per hour is in this way 360/12 = 30 degrees.

The hour hand of the clock moves 360 degrees in 12 *60 = 720 minutes.

The quantity of degrees the hour hand moves every minute is accordingly 360/720 = 1/2 degrees.

So the hour hand moves 1/2 degree for each minute.

The minute hand moves 360 degrees in a one hour.

The quantity of degrees the minute hand moves every minute is accordingly 360/60 = 6 degrees.

At 5:44, the quantity of minutes the hour hand has moved is 5 * 60 + 44 = 344 minutes.

At a half degree for each minute, the hour hand has moved .5 * 344 = 172 degrees.

At 5:44, the quantity of minutes the minute hand has moved is 44 minutes.

At 6 degrees for each minute, the minute hand has moved 6 * 44 = 264 degrees.

The angle between the minute hand and the hour hand is along these lines 264 degrees minus 172 degrees = 92 degrees.

<span>Since that angle is under the 180 degrees, it must be the littler edge between the hour hand the minute</span>
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What is the radius of a circle if the length of a 45°<br>arc is 9π.​
Reil [10]

Answer:

the radius would be half of 45 so if you half it i think it would be 22.5 but someone correct me if im wrong

Step-by-step explanation:

have a good day

8 0
4 years ago
What is 7/8 + 1/2 as a fraction
forsale [732]

Answer:

11/8 is the answer as a fraction

4 0
3 years ago
Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1
kicyunya [14]

Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

f(x)=\frac{x^2}{2}-4x+5

Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

f(x)=\frac{x^{2}}{2}-4x+5

Final answer: Option D

6 0
2 years ago
Write the equation of the line passing through (-2,k) (2,0) and has a slope of -1\
Step2247 [10]
The passing line equation is y=mx (_) +B ( ) 
4 0
3 years ago
Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
Leokris [45]
Standard form is, hold a sec

x=2 is directix
that means it opens left or right
so we must use
(y-k)²=4p(x-h)
where vertex is (h,k) and p is distance from focus to vertex
also shortest distance from vertex to directix
the shortest distance from focus to directix is 2p
if p>0 then the parabola opens right
if p<0 then pareabola opens left

so
(-2,0) and x=2
the distance is 4
4/2=2
p=2
wait, positive or negative
focus is to the left of the directix so p is negative
p=-2

vertex is 2 to the right of the focus and 2 to the left of directix
vertex is (0,0)

so
(y-0)²=4(-2)(x-0) or
y²=-8x is da equation
not sure what form is standard tho
4 0
3 years ago
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