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Alina [70]
2 years ago
10

A 54-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60º angle with the ground. Ho

w high up the pole is the wire attached? Write your answer in simplest form.
Mathematics
1 answer:
brilliants [131]2 years ago
6 0

Answer:

22\sqrt{x} 2

Step-by-step explanation:

should be the answer if im correct

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What is the greatest common factor of 4k, 18k4, and 12?
Semenov [28]
The greatest common factor of 4k, 18k4 and 12 is
4

Finding the GCF of monomials requires inspection of the terms and looking for common factors that would be able to reduce the terms to whole numbers and variables with positive exponents.
5 0
2 years ago
Read 2 more answers
A player hit a serve in a racket sport that was clocked at 129 mph. how much work did he have to do on the 2-oz ball to get that
djyliett [7]

Answer:

1 × 10² J

Step-by-step explanation:

Given data

  • Speed (v): 57.7 m/s

\frac{129mi}{h} .\frac{1609.34m}{1mi} .\frac{1h}{3600s} =57.7m/s

  • Mass (m): 0.06 kg

2 oz × (1 kg/35.274 oz) = 0.06 kg

The work exerted by the player is equal to the kinetic energy (K) adquired by the ball.

K = 1/2 × m × v²

K = 1/2 × 0.06 kg × (57.7 m/s)²

K = 1 × 10² J

5 0
2 years ago
steve gaimes is paid overtime for all time worked past 40 hours in a week. his regular time pay rate is $12 an hour and his over
Elena-2011 [213]

Answer:

40 hours

Step-by-step explanation:

47.3-40= 7.3

He worked 7.3 hours overtime meaning he worked 40 regular hours.

6 0
2 years ago
A train station has installed a system for determining whether bags contain explosives. It has a 95% chance of correctly identif
astraxan [27]

Answer:

a) P(identified as containing explosives)=P(actually contains explosives and identified as containing explosives)+P(actually not contains explosives and identified as containing explosives)

=(10/(4*106))*0.95+(1-10/(4*106))*0.005 =0.005002363

hence  probability that it actually contains explosives given identified as containing explosives)

=(10/(4*106))*0.95/0.005002363=0.000475

b)

let probability of correctly identifying a bag without explosives be a

hence a =0.99999763 ~ 99.999763%

c)

No as even if that becomes 1 ; proportion of true explosives will always be less than half of total explosives detected,

3 0
2 years ago
What is the common multiple of 2,960 6,400 and 2000 with full process
Mamont248 [21]

Answer:

1184000

Step-by-step explanation:

lcm(2960,6400,2000)

prime factor:

2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)

Take the largest power of each factor:

(2^8)(5^3)(37^1)\\=1184000

3 0
1 year ago
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