70. Angle of Revolution. Through how many radians does the minute hand of a wrist-watch rotate from 12:40 P.M. to 1:30 P.M.​

Answers

Answer 1

Answer:

[tex]\frac{5\pi}{3}\:\mathrm{radians}[/tex]

Step-by-step explanation:

Each complete revolution of a circle is equal to [tex]2\pi[/tex] radians. The minute-hand travels one of these revolutions in 60 minutes. Since there are 50 minutes from 12:40 PM to 1:30 PM, the minute hand travels [tex]\frac{50}{60}\cdot 2\pi=\frac{100}{60}\cdot 2\pi=\boxed{5\pi/3\:\mathrm{radians}}[/tex]


Related Questions

Select the correct answer.
Observe the sequences below.

I. -3, 1, 5, 9, . . .
II. 1, 2, 4, 8, . . .
III. 4, -12, 36, -108, . . .
IV. 7, 14, 21, 28, . . .

Which of these are arithmetic sequences?

A.
IV only
B.
I and IV
C.
I, II, and IV
D.
II and III

Answers

Answer:

B

Step-by-step explanation:

The answer is B, I and IV only

Option B is correct about observing the sequences below.

We have given that,

I. -3, 1, 5, 9, . . .

II. 1, 2, 4, 8, . . .

III. 4, -12, 36, -108, . . .

IV. 7, 14, 21, 28, . . .

What is the sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

We have to determine the correct answer for the above sequence

Therefore, The answer is B, I, and IV only.

To learn more about the sequence visit:

https://brainly.com/question/6561461

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how do we prove that a line is a tangent of a circle ​

Answers

Answer:

if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle

Need help on this question I’m taking this!!

Answers

Answer:

A) y=4+x

Step-by-step explanation:

Since the initial amount was 4 gallons, any additional fuel added will be in addition to that.

whats 3 plus 4 times 3?

Answers

Answer:

3+(4*3)=15.....................

Answer:

21

Step-by-step explanation:

3+4=7

7×3=21

you are going to add 3 and 4.

After adding, you multiply 7by 3

giving yout 21

The probability that Sam will win the 50-yard dash is 85%. What is the probability that Sam will not win the 50-yard dash?

Answers

Answer:

15%

Step-by-step explanation:

100 % - 85 % = 15 %

State if the triangle is a right triangle. (Remember that the largest value is always c)

No

Yes

Answers

Answer:

Yes

Step-by-step explanation:

Right triangles have a 90 degree angle, which this triangle does. The side opposite the 90 degree angle is the hypotenuse. The hypotenuse (in this case 53 m) is the longest side.

2^x=1/32 write down the value of x

Answers

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] )  {take both the sides}

[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )

[tex]x=\frac{log(1/32)}{log (2)}[/tex]

[tex]x=-5[/tex]

hope this helps....

15 POINTS FOR WHO WILL ANSWER


You are going on a road trip with your family in the winter break, like you did last year .Your family is wondering which car you used for the trip was faster, your mother’s sedan car or your father’s car SUV

Last year, when your father filled the tank, he recorded the miles on the SUV as 24,033 miles. He paid 83.53$ to fill up the empty gas tank of the SUV. This year, You’ve decided to take your mother’s sedan car. When she filled the tank, it recorded the miles as 15,004. It took 71.98$ to fill up the vehicle’s empty gas tank



Which car is faster? And use the graph

Answers

Answer:

The 24,003 is the fastest

SUV would be faster

in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n

Answers

Answer:

n = 16

Step-by-step explanation:

The slope from the origin to each point must be equal

(0,0) and (n, 8)

m = 8/n

(0, 0) and (32, n)

m = n/32

Set the slopes equal

8/n = n/32

cross multiply

256 = n²

Take the square root of both sides

n = 16

What is the probability of student liking music given they already like

Answers

Answer:

So so so easy its 1 because all of them like music

Find the missing angle?

Answers

Answer:

[tex]55.23[/tex]

Step-by-step explanation:

In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(\theta)=\frac{23}{28}[/tex]

Inverse operations,

[tex]\theta=sin^-1(\frac{23}{28})[/tex]

Simplify,

[tex]\theta=55.228056[/tex]

Please help ASAP due at 11:15

Answers

Answer:

number 8 is d 16 good luck

rectangle what shape

Answers

Square

_________________

Numbers with the same absolute value are?

Answers

Answer:Two numbers are opposites if they have the same absolute value but different signs.

Step-by-step explanation:

Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.

The absolute value is the same as the distance!

I hope this helps =)

The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.

From the given scenario, we can conclude that events A and B are

Answers

Answer:

dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

According to the Question,

Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.

Thus, The events A, B and A∩B are:

A - Jane will go to a ballgame on Monday;

B - Kate will go to a ballgame on Monday;

A∩B - Kate and Jane both go to the ballgame on Monday.

P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52

So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

Answer:

From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

Correct answer for plato users

Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.

Answers

Answer:

49 inches

Step-by-step explanation:

To obtain the height, h of the ramp ;; we use trigonometry ;

h = opposite and the value of the hypotenus :

Sin θ = opposite / hypotenus

Sin 22 = h / 132

h = 132 * sin 22

h = 132 * 0.3746065

h = 49.44

Height of ramp = 49 inches

Can someone please tell me what the equation would be and how I would show it

Answers

Answer:

Step-by-step explanation:

3x-4y-15=0

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Step by step solution :

Step  1  :

Equation of a Straight Line

1.1     Solve   3x-4y-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y-15  = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000

y-intercept = 15/-4  = -3.75000

Calculate the X-Intercept :

When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000

x-intercept = 15/3  =  5

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

  Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

Slope = 1.500/2.000 = 0.750

x-intercept = 15/3 = 5

y-intercept = 15/-4 = -3.75000

Hope This Helps!!!

Terra Drive due north 44 Miles then East 422 miles. How far is Terra from her starting point

Answers

Answer:

466 miles

Step-by-step explanation:

HOPE IT HELPS

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CORRECT ME IF IM WRONG

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Which is equivalent to the expression
(2x = 3x) + (3x + 2x + 3)?

Answers

Answer:

add and the take the parathesis out and there you have ur answer

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

I'm going to asume the = was a typo and you intended

(2x + 3x) + (3x + 2x + 3)

Combine like terms

8x + 3

Please help and thank you. Brainliest!

Answers

The answer is B.$22 for 4 pounds of cashews

Answer:

B) $22 for 4 pounds of cashews.

Step-by-step explanation:

[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]

Multiply (3n + 8) by (4n + 2) using double distribution.

Answers

Answer:

12n² + 38n + 16

Step-by-step explanation:

(3n + 8)(4n + 2)

12n² + 6n + 32n + 16

12n² + 38n + 16

Which of the following is a geometric sequence?
O A. 11, 16, 21, 26, ...
B. - 3, 3, -3, 3, ...
O C. -2, 6, 14, 22, ...
O D. 6, 13, 19, 24, ...

Answers

The answer is A. It is the alone that all terms have the same common difference “5”

Answer:

A

Step-by-step explanation:

geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2

Simplify the expression 2(w+7)+6(3w−1).

Answers

Answer:

 4 • (5w + 2)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (2 • (w + 7)) +  6 • (3w - 1)

STEP

2

:

Equation at the end of step 2

 2 • (w + 7) +  6 • (3w - 1)

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  20w + 8  =   4 • (5w + 2)

Answer:

20w + 8

Step-by-step explanation:

2(w+7)+6(3w−1).

step 1 distribute the 2 to the w and the 7

2 * w = 2w

2 * 7 = 14

we now have 2w + 14 + 6( 3w - 1 )

step 2 distribute the 6 to the 3w and -1

6 * 3w = 18w

6 * -1 = -6

we now have 2w + 14 + 18w - 6

step 3 combine like terms

2w + 18w = 20w

14 - 6 = 8

we're left with 20w + 8

Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.

700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.

Answers

The standard deviation of the data is 100 if round to the nearest whole number.

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

The list represents the approximate number of megabytes of data Grace used each month as shown in the table.

To find the standard deviation first we will find the mean:

The sum of the all data given = 9380

The mean X' = 9380/12    (total number of observation = 12)

Now subtract the mean from each sample value such as (X-X') and square it.

Find the sum of it.

The formula for the standard deviation is given:

[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]

Put the ∑(X-X')² = 120866.67 and n = 12

[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]

SD = 100.36 ≈ 100

Thus, the standard deviation of the data is 100 if round to the nearest whole number.

Learn more about the standard deviation here:

brainly.com/question/12402189

got it wrong help a girl out please thank you

Answers

Its 70. S and u are equal, and the total of all angles in a quadrilateral is 360. So 80 x 2 + 130 - 360 = T

What is an equation of a line that passes through the points (1,8) and (-1, -2)

Answers

Answer:

y = 5x + 3

Step-by-step explanation:

Y = mx + b

find the rise/run

in this case [tex]\frac{10}{2}[/tex] or 5

find b or the y intercept

in this case 3

Hope this helps!

A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.

Answers

Answer:

The cost price = GHc 16.00

Step-by-step explanation:

Selling price = GHC 20.00

Profit Percent = 25%

Cost price = ?

Formula for finding cost price =

[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]

Let's insert the numbers

[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]

So therefore ; the cost price is GHC 16.00

What is the measurement for b ??

Answers

Answer: 37 degrees

Explanation:
180 degrees is the measure of a line

180-143= 37 degrees

sin²(240°) how to solve​

Answers

Answer:

3/4

Step-by-step explanation:

sin^2(240°)

=sin^2(360-120)

=sin^2(-120)

={-sin^2(120)}

=(-[tex]\sqrt({3} /2)^2[/tex]

=3/4

Step-by-step explanation:

i hope so u can see sorry

and it is correct

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

a=170
b=56
c=96
d=96
e=196
f= 510
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