A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each knight spend on guard duty in one day? Record your answer in hours as a decimal.

Answer:

1/15

Step-by-step explanation:

Given that:

Total Number of M&M's = (4 + 1 + 3 + 2) = 10

Number of yellow M&M's = 3

Probability = required outcome / Total possible outcomes

First pick (choosing without replacement)

P(choosing a yellow M&M) = 3 / 10

Second pick :

P(choosing a yellow M&M) = 2 / 9

P(choosing 2 yellow M&M) = 3/10 * 2/9 = 6/90 = 1/15

Answer:

θ ≈ 15°

Step-by-step explanation:

Using the sine rule in the triangle

note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then

[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )

2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )

sinθ = [tex]\frac{756sin125}{2400}[/tex] , then

θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )

Answer:

can you show a pic tell me in the comments

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

x=30 (being corresponding angle)

Answer:

25/48 = 30/x

25x = 1440

x = 57.6

120/1500=x/100, x=8

So, you make 8% commision, meaning you now have to do this:

x/1300=8/100, so x=$104

Answer: [tex]6/8, 9/12, 12/16, 15/20[/tex] and so on

Step-by-step explanation:

Answer:

There are many ratios equivalent to 3:4. For example, 6:8, 9:12, 12:48, 15:20, 18:24

Step-by-step explanation:

Answer:

-7x-4y+4y=-44+4y

-7x=4y-44

-7x/-7= 4y-44/-7

x=-4/7y+44/7

x=-4/7y+44/7

Step-by-step explanation:

Answer:

Where's the answer?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 26 and h = 5 , then

A = [tex]\frac{1}{2}[/tex] × 26 × 5 = 13 × 5 = 65 ft² → B

Answer:

huh looks simple....it's unreactive because it's already stable

Step-by-step explanation:

it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons

Answer:

Terry Clayton tiene un contrato de arrendamiento por tiempo indefinido para un SUV. El arrendamiento cuesta $ 421.38 por 48

meses. Pagó un depósito de $ 2,500, una tarifa de título de $ 85 y una tarifa de licencia de $ 235. Al final del arrendamiento, puede comprar el vehículo por su valor residual de $ 15,644. ¿Cuál es (a) la

cantidad total de pagos y (b) el costo total del arrendamiento?

Step-by-step explanation:

each toss results in 2 possible outcomes, head or tail so the number of possible outcomes for 7 would be

Answer:

2^7

2x2x2x2x2x2x2 = 2^7

The Magnititude of -3 + 4i is 5.

Answer:

√136 is Approximately 2 times of √33

Step-by-step explanation:

√136 = √4x34 = 2√34 ≈ 2 x √33

Answer:

x=4

Step-by-step explanation:

Answer: 4x -8+ 125x -4x +5

Answer:

The number of seconds, the number of feet the sub descends.

Step-by-step explanation:

Answer:

I just did it and I got it right so there is a pic for proof a pic that ma answer is right

Step-by-step explanation:

Answer:

c .  

Step-by-step explanation:

Answer:

sas maybe

Step-by-step explanation:

because a-c is a side marked by two lines, and it corresponeds

with b-c. c is the same angle. c-e is marked by one line and corresponds with c-d.

Answer: -b - 9

Step-by-step explanation:

First, since the a cancel eachother out we are left with (4-b) + (-6-7)

Second, you want to add the -6 and -7 to get -13, so (4-b) - 13

Finally, add the 4 to the negative 13 to get (-b - 9)

Hope this helps.

Answer:

Refer to the attached file

Hope it helps..

Have a great day : )

Answer:

Answer:

Unique triangle.

Step-by-step explanation:

If you were to draw the triangle, you would've been able to see that one angle is open and that the other 2 were closed.

Answer:

2,040cm

Step-by-step explanation:

Answer:

you are the 35th caller.

Step-by-step explanation:

Multiples of 5: 5,10,15,20,25,30,35,40,45,50

Multiples of 7: 7,14,21,28,35,42,49,56,63,70

Since the question specified "first caller" , the answer is basically from the lowest common Multiple (the lowest number that appear in both multiples) , and in this case, only 35 is the lowest common multiple.

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Answer:  [tex]\$1100[/tex]

Step-by-step explanation:

Given

Principal amount is [tex]P=\$4000[/tex]

Rate of interest [tex]R=5\%[/tex]

Time period [tex]T=5\ yr\ \text{and}\ \text{6 months}\equiv 5.5\ yr[/tex]

We know, Simple interest is

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

Putting values

[tex]\Rightarrow S.I.=\dfrac{4000\times 5\times 5.5}{100}=\$1100[/tex]

Sara gets [tex]\$1100[/tex] after 5 years and 6 months