The minute hand on a clock has an angular
velocity of 2 radians/hour, while the hour hand has an angular velocity of radians/hour. At 12:00, the hour and second hands both point straight up. The two
hands will next come back together sometime after 1:00. At what exact time will this
happen? (Hint: You want to find the next time when the angle of rotation made by
the hour hand is coterminal with the angle made by the minute hand after it has first
completed one full revolution.)

Answer:

Step-by-step explanation:

1895 x 7895 + 6575 - 1.753

14961025 + 6575 - 1.753

14967600 - 1.753

14,967,598.247

9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

Answer:

C

Step-by-step explanation:

Option c (20, 24, 26) doesn't follow the Pythagoras triplet, it is a not right-angle.

The right-angle triangle is a triangle in which the measure of two sides of a triangle is smaller than the longest side of the triangle.

To find the right angle triangle it should satisfy the Pythagoras theorem

a. 12, 16, 20

[tex]12^{2} +16^{2} = 144 + 256[/tex]

               = 400

[tex]20^{2}[/tex] = 400

Since it follows the Pythagoras triplet, it is a right-angle triangle.

b. 15, 36, 39

[tex]15^{2} +36^{2} \\= 1521[/tex]

[tex]39^{2} =1521[/tex]

Since it follows the Pythagoras triplet, it is a right-angle triangle.

c. 20, 24, 26

[tex]20^{2} + 24^{2} \\= 976[/tex]

[tex]26^{2} = 676[/tex]

Since it does not follow the Pythagoras triplet, it is a not right-angle triangle.

d. 30, 40, 50

[tex]30^{2} +40^{2} \\= 2500\\50^{2} = 2500[/tex]

Since it follows the Pythagoras triplet, it is a right-angle triangle.

Hence, option c doesn't follow the Pythagoras triplet, it is a not right-angle.

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Answer:

It is important because it allows you to calculate the surface area of a trapezoidal prism

Step-by-step explanation:

Answer:

u = 10.88

Step-by-step explanation:

u - 6.46 = 4.42

u - 6.46 + 6.46 = 4.42 + 6.46

u = 10.88

9514 1404 393

Answer:

  WX = 33

  (x, y) = (2, 10)

Step-by-step explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

  WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

  WX = 33

__

The hash marks also tell you ...

  PW = WS

  y +4x = 18 . . . . . . substitute the given expressions

and also

  QX = XR

  2y +x = 22 . . . . . substitute the given expressions

__

If you solve the first equation for y, you get ...

  y = 18 -4x

Substituting that into the second equation gives ...

  2(18-4x) +x = 22

  36 -7x = 22 . . . . . . . simplify

  14 = 7x . . . . . . . . . . . add 7x-22 to both sides

  2 = x . . . . . . . . . . . . divide by 7

  y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

__

My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

Answer: [tex]9 \frac{1}{2} x+5[/tex]

Step-by-step explanation:

In order to find the Perimeter, we add all the segments up.

 (2x-1)+(4x+3)+(x+2)+(2x+2)+(1/10x-1)+(2/5x)

=2x-1+4x+3+x+2+2x+2+1/10x-1+2/5x ⇔ Expand Parenthesis

=2x-1+4x+3+x+2+2x+2+1/10x-1+4/10x ⇔ Convert fractions into same                              

                                                                  denominator

=(2x+4x+x+2x+1/0x+4/10x)+(3-1+2+2-1) ⇔ Put like terms together

=(9x+1/2x)+5 ⇔ Combine like terms

=9 1/2 x +5

Hope this helps!! :)

Please let me know if you have any questions

The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

Liam and Michael are going to play video games this afternoon.

Then, Liam going to play video games = 38

Michael going to play video games = 2

In 38 video games and 2 video games are exactly what Liam and Michael need.

So,

We can write,

Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]

As only one case is possible,

That is, [tex]2C_{2}[/tex] = 1

Probability = 1/(38!/(38-2)!2!)

= 1/(38!/36!2!)

=( 2! * 36! )/38!

= (2! * 36! )/38!*37!*36!

= 2!/38!37!

= 1/19!37!

= 1/703

= 0.001422

Rounding to nearest million ( 5 decimal )

Required probability = 0.001422

Therefore,

The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.

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Answer:

-1.5, -(-2), 2.5, 8/3

Step-by-step explanation:

pretty sure this is right

Answer:

r = 29.82

Step-by-step explanation:

r/7.1 = 4.2

r = 7.1 x 4.2

r = 29.82

Answer:

29.82

Step-by-step explanation:

First, we multiply all terms by the same number to get rid of the denominators.

71 x /71/10 = 71 x 42

Next, we cancel the multiplied terms in denominator.

10 = 71 x 4.2

Solve!

10 = 29.82

Answer:

B'''(6, -15), C'''(-3, -12)

Step-by-step explanation:

For point B,

[tex]B(1,\,2) \to B'(1,\,-2) \to B''(2,\,-5) \to B'''(6,\,-15)[/tex]

For point C,

[tex]C(-2,\,1) \to C'(-2,\,-1) \to C''(-1,\,-4) \to C'''(-3,\,-12)[/tex]

Reflecting a point across the x-axis:  leave the x-coordinate the same; replace the y-coordinate with its opposite.

<1, -3>  These are translations: add 1 to x, subtract 3 from y.

Dilate k=3:  multiply both x and y by 3.

Answer:

I think 1

Step-by-step explanation:

Maybe not 100% $ure

Answer:3

because yeah that the answear and stuff

Answer:

Step-by-step explanation:

Using the expression for calculating the sum of an AP as:

Tn = Sn - Sn-1

When n = 10

T10 = S10 - S9

Given that;

Sn = n²-3n

S10 = 10²-3(10)

S10 = 100 - 30

S10 = 70

S9 = 9² - 3(9)

S9 = 81 - 27

S9 = 54

Substitute the given values

T10 = S10 - S9

T10 = 70 - 54

T10 = 16

Hence the 10th term of the sequence is 16

Answer:

729

Step-by-step explanation:

[tex]\frac{1}{2}log_{2}x=3log_{2}3 \\[/tex]

[tex]log_{2}\sqrt{x} =log_{2}3^{3}[/tex]

[tex]\sqrt{x} =27 \\[/tex]

x=27²=729

Answer:

reflect over the y axis, move two units to the left and 8 units down

Answer:

The answer to this question is 13

Answer:

It's geometric and common difference is 3

Step-by-step explanation:

15/5=3

45/15=3

Answer:

its geometric and the common ratio is 3

Step-by-step explanation:

Answer:

15000000.00 mcg

Step-by-step explanation:

Answer:

i believe the answer is y =5

(13)^2 = (12)^2 +( y)^2

169= 144 + y^2

169-144= y^2

25= y^2

5 = y

Answer:

2oz are 1/4 cup

done easy.

Step-by-step explanation:

Answer: 5982

Step-by-step explanation:

The area of the rectangle is L*w so 100*50= 5000

the area of the semi-circle on top is

[tex]\frac{1}{2} \pi r^{2} \\\frac{1}{2} \pi 2^{2} \\\frac{1}{2} \pi 625\\\frac{1}{2} (1963.50)\\= 981.75[/tex]

Total area is 5000+981.75= 5981.75

round up to 5982

C. X > -1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−2x + 5 < 7

Step 2: Subtract 5 from both sides.

−2x + 5 − 5 < 7 − 5

−2x<2

Step 3: Divide both sides by -2.

−2x/−2 < 2/−2

x > −1

Answer:

Step-by-step explanation:

The equation of the line that passes through the points (1, 50) and

(3, 120) is y = 35x + 15.

We have,

The point-slope form of a linear equation is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) represents the coordinates of a point on the line, and m represents the slope of the line.

The slope (m) using the given points:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values from the given points (1, 50) and (3, 120).

m = (120 - 50) / (3 - 1)

= 70 / 2

= 35

Use (1, 50)) and substitute its coordinates into the point-slope form:

y - y₁ = m(x - x₁)

y - 50 = 35(x - 1)

Simplifying further:

y - 50 = 35x - 35

y = 35x - 35 + 50

y = 35x + 15

Therefore,

The equation of the line that passes through the points (1, 50) and

(3, 120) is y = 35x + 15.

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Answer:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](c)\ 9, 12, 15[/tex]

Step-by-step explanation:

Required

Side lengths that form a right triangle

Applying Pythagoras theorem

[tex]a^2 = b^2 + c^2[/tex]

Where a is the longest side.

So, we have:

[tex](a)\ 5, \sqrt 6, \sqrt{31[/tex]

[tex](\sqrt{31})^2 = 5^2 + (\sqrt 6)^2[/tex]

[tex]31 = 25 + 6[/tex]

[tex]31 = 31[/tex]

This forms a right triangle

[tex](b)\ \sqrt 5, \sqrt 5, 50[/tex]

[tex]50^2 = (\sqrt 5)^2 + (\sqrt 5)^2[/tex]

[tex]2500 = 5 + 5[/tex]

[tex]2500 \ne 10[/tex]

This does not form a right triangle

[tex](c)\ 9, 12, 15[/tex]

[tex]15^2 = 12^2 + 9^2[/tex]

[tex]225 = 144 + 81[/tex]

[tex]225 = 225[/tex]

This forms a right triangle

Answer:

1 1/2 pinyt

Step-by-step explanation:

Answer:

Step-by-step explanation:

As,

[tex] {64}^{ \frac{2}{3} } = {(\sqrt[3]{64})}^{2} = \sqrt[3]{ {64}^{2} } [/tex]

Answer:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83