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lyudmila [28]
3 years ago
5

In ΔEFG, the measure of ∠G=90°, GE = 32 feet, and EF = 41 feet. Find the measure of ∠E to the nearest tenth of a degree.

Mathematics
2 answers:
USPshnik [31]3 years ago
7 0

Answer:

m∠E = 38.7°

Step-by-step explanation:

If you make a drawing it will help.  What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.

The cosine of a angle = adjacent side/hypotenuse.

Therefore cos E = 32/41

arccos (32/41) = 38.7°

Sladkaya [172]3 years ago
4 0

Answer:

The answer is 38.7

Step-by-step explanation:

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Sherry is a waitress at a country club restaurant. She receives an automatic 15% tip which is added to the member's check for th
cricket20 [7]

Answer:

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2 years ago
A performer in a circus is fired from a cannon as a ``human cannonball'' and leaves the cannon with a speed of 16.4 m/s. The per
ladessa [460]

Answer:

1195.22N.

Step-by-step explanation:

Mass: m =82.6 kg

Velocity: v= 16.4m/sec.

Distance: d = 9.29 metres.

Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².

Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.

3 0
3 years ago
Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with the
Andrei [34K]

Given:

Karen earns $54.60 for working 6 hours.

Amount she earns varies directly with the  number of hours she works.

She need to work to earn an  additional $260.

To find:

Number of hours she need to work to earn an  additional $260.

Solution:

Let the amount of earnings be A and number of hours be t.

According to question,

A\propto t

A=kt     ...(i)

where, k is constant of proportionality.

Karen earns $54.60 for working 6 hours.

54.60=k(6)

Divide both sides by 6.

\dfrac{54.60}{6}=k

9.1=k

Put k=9.1 in (i).

A=9.1t

Substitute A=260 in the above equation.

260=9.1t

Divide both sides by 9.1.

\dfrac{260}{9.1}=t

28.5714=t

t\approx 29

Therefore, she need to work extra about 29 hours to earn an  additional $260.

3 0
3 years ago
94 POINTS AND BRAINLIEST TO BEST ANSWER!!!
Schach [20]

Answer:

54

Step-by-step explanation:

Diagonals are perpendicular so

2x+ 90 + 3x = 180  since this forms a triangle

Combine like terms

5x+ 90 = 180

Subtract 90 from each side

5x +90-90 =180-90

5x = 90

Divide each side by 5

5x/5 = 90/5

x =18

We want to find Angle ABD

ABD = 3x = 3*18 = 54

7 0
3 years ago
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A company makes cylindrical crackers that have a cylindrical hole in the middle.
Keith_Richards [23]

Answer:

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Step-by-step explanation:

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