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Arturiano [62]
3 years ago
8

A castle has to be guarded 24 hours a day. 7 nights are ordered to split each day guard duty equally. How long will each night s

pend on guard duty in one day?
Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

3.43 hours

Step-by-step explanation:

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day guard duty equally. How long will each knight spend on guard duty in one day?

From the above question:

7 knights = 24 hours

1 knight = x hours

Cross Multiply

7 knights × x hours = 1 knight × 24 hours

x hours = 1 knight × 24 hours/ 7 knights

x hours = 3.4285714286 hours

Approximately = 3.43 hours

Therefore, each knight would spend 3.43 hours on guard duty in one day

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Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers
Alisiya [41]

Answer:

(x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1

Step-by-step explanation:

(x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5

Therefore,

                x^2 + 4x + 5 = (x+2)^2 + 1

6 0
3 years ago
Solve these systems of equations.
svetlana [45]
1. 32
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3.84
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4 0
4 years ago
The resultant of two forces acting on a body has a magnitude of 60 pounds. The angle between the 28-pound force and the resultan
Leto [7]
1.  We will use the Cosine Law:
x² = 60² + 28² - 2 · 60 · 28 · cos 50°
x² = 3,600 + 784 - 3360 · 0.6428
x² = 2,224.234
x = √2,224.234
x = 47.16 pounds ≈ 47.2
Answer: B ) 47.2 pounds
2. By the Cosine Law ( angle of 135° is opposite the forces resultant ):
R² = 150² + 50² - 2 · 150 · 50 · cos 135°
R² = 22,500+2,500 -15,000 · ( -0.71 )
R² = 35,650
R = √35,650 = 188.812 mph
After that we will use the Sine Law:
50 / sin α = 188.812 / sin 135°
50 / sin α = 188.812 / 0.71
sin α = 50 · 0.71 / 188.812
sin α = 0.188
α = sin^(-1) 0.188
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Answer: C ) 10.8° 
4 0
3 years ago
!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
dalvyx [7]

Answer:

1/4

That would be the answer because 6/8 minus 2/4 would equal 1/4

8 0
4 years ago
Read 2 more answers
Yo someone help i'm lost
kompoz [17]

Answer:

convert the task into ratios

(1) if $24 = 4 walks

how many $ for a walk

= (24/4) $/walk

= $6 per walk

•the first one is correct

•the second is wrong, cause it interprete $12/3 walks, which is rationalized to $3 per walk

•the third one is correct, cause it can also be rationalized ($30/5walks) to $6 per walk.

also, rationalizing this would equate to 3 miles per hour (6miles/2hrs)

• one is wrong cause it's 4 miles per hour

•two is correct, it's saying 3 miles per hour (12/4)

• third, likewise is correct 3 miles per hour (9/3) miles/hrs

5 0
3 years ago
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