Which absolute value function when graphed will be narrow than the graph of the parents function f(x)=|x|

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

Arisa [49]

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.

Since that angle is under the 180 degrees, it must be the littler edge between the hour hand the minute

8 0

3 years ago

Which value is equivalent to 40%

lbvjy [14]

0.4 or 2/5 is equivalent

7 0

4 years ago

Read 2 more answers

In rectangle FGHI, diagonals FH and GI intersect at E. G F E H I • IE = 3x + 4 • EG = 5x - 6 What is the length of FH ?

timurjin [86]

Answer:

FH = 38

Step-by-step explanation:

Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH

The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other

thus,

3x + 4 = 5x - 6

5x-3x = 6+ 4

2x = 10

x= 10/2

x = 5

but Eg is 5x-6

and FH = 2EG

FH = 2(5x-6)

FH = 10x - 12

Substitute x = 5

FH = 10(5) -12

FH = 50-12

FH = 38

3 0

3 years ago

How would the domain and range of the function y = one-fourth x minus 6 be determined? Explain.

Liono4ka [1.6K]

Answer:

Domain = ( -∞ , ∞ )

Range = ( ∞ , ∞ )

Step-by-step explanation:

A function is given to us and we need to find the domain and range of the given function .

The function :-

$\rm \implies y = \dfrac{1}{4}x - 6$

Definitions :-

Range :- The range is the set of all valid y values .
Domain :- All real numbers except where the expression is undefined.

In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-

Domain :-

$\rm Domain = ( -\infty , \infty )$

or

$\rm Domain = \{ x | x \in \mathbb{R} \}$

Range :-

$\rm Range = ( -\infty , \infty )$

or

$\rm Range = \{ y | y \in \mathbb{R}\}$

4 0

3 years ago

Sam is making a case for his calculator. It is a rectangular prism that will be 5.5 inches long by 2 inch wide by 5 inches high.

White raven [17]

Answer:

97in³

Step-by-step explanation:

L = 5.5, W = 2, H = 5

2(h × W) + 2(h × L) + 2(W × L)

= 2(5*2) + 2(5*5.5) + 2(2*5.5)

= 2(10) + 2(27.5) + 2(11)

= 20 + 55 + 22

= 97in³

8 0

3 years ago