Write the expanded form of the expression 5(2x-8)

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how

Schach [20]

Answer:

3/2π and π/480

Step-by-step explanation:

The question given says that the minute hand on a clock moves through complete circle in 1 hour, that is 360° or 2π. It also says that the hour hand moves through 1/12 of a circle, that means 30° or π/6.

To know how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m, it's necessary to calculate how many radians move them per minute.

Between 1:00 p.m. and 1:45 p.m 45 minutes have passed. With that information, the radians can be calculated using multiplication and division.

Minute hand: To know how many radians move the minute hand per minute division wil be used.

Movement in an hour/ minutes in an hour

2π rad/60 min= π/30 rad-min

That means the minute hand move π/30 radians in a minute.

Now, multiplication can be used to calculate how many radians move the minute hand in 1h.

(π/30 rad-min)(45 minutes)= 3/2π rad

The minute hand moves 3/2π radians between 1:00 p.m. and 1:45 p.m.

Hour hand: To know how many radians move the hour hand per minute division wil be used.

Movement in an hour/ minutes in an hour

2π rad/(60 min x 12 hours)= π/360 rad-min

That means the minute hand move π/360 radians in a minute.

Now, multiplication can be used to calculate how many radians move the hour hand in 1h.

(π/360 rad-min)(45 minutes)= π/8 rad

The minute hand moves π/8 radians between 1:00 p.m. and 1:45 p.m.

7 0

3 years ago

Find the value of x.

alexgriva [62]

Answer:

x = 4 $\sqrt{2}$

Step-by-step explanation:

note the exact value of tan60° = $\sqrt{3}$

Since the triangle is right use the tangent ratio to find x

tan60° = $\frac{opposite}{adjacent}$ = $\frac{4\sqrt{6} }{x}$

multiply both sides by x

x × $\sqrt{3}$ = 4 $\sqrt{6}$

divide both sides by $\sqrt{3}$

x = $\frac{4\sqrt{6} }{\sqrt{3} }$ = 4 × $\sqrt{\frac{6}{3} }$ = 4 $\sqrt{2}$

8 0

4 years ago

Read 2 more answers

Help. i’ll give a brainiest to the correct answer:D

Verizon [17]

Answer:

18.3

Step-by-step explanation:

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8 0

3 years ago

PLEASE HELP ME ASAP?!?

Blababa [14]

Answer:

f(x) = $\frac{1}{4}x^{2}$ > f(x) = -0.5x² > f(x) = x²

Step-by-step explanation:

In a quadratic function leading coefficient decides the width of a graph.

In simpler words, leading coefficient decides the vertical stretch of the graph.

Higher the value of leading coefficient, higher the vertical stretch.

When a graph is vertically stretched it becomes narrower.

(Note: Minus sign of the coefficient decides the opening of the graph, upwards or downwards)

Therefore, f(x) = x² having coefficient = 1 is the narrowest and f(x) = $\frac{1}{4}x^{2}$ will be the widest.

So the descending order will be,

f(x) = $\frac{1}{4}x^{2}$ > f(x) = -0.5x² > f(x) = x²

5 0

3 years ago

*please be serious*

Y_Kistochka [10]

Answer:

x intercept is 8

y intercept is 4

Step-by-step explanation:

x-intercept -> format is (x, 0)

We know that y=0, so we can substitute that in and solve for x to find the x-intercept. x-2y = x - 2(0) = x = 8. Therefore, the x-intercept is 8.

y-intercept -> format is (0, y)

We know that x=0, so we can substitute that in and solve for y to find the y-intercept. x-2y = 0 - 2y = 2y = 8 -> y =4. Therefore, the y-intercept is 4.

I hope this helps! :)

8 0

3 years ago