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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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-3 + 4x = 41<br> What's x
marusya05 [52]
Move the -3 to the other side which makes it 41 + 3 = 44

So now the equation looks like 4x=44

Now divide 44 by 4, equals 11

x=11
3 0
3 years ago
Read 2 more answers
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
2 years ago
What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?
Ksenya-84 [330]

Answer:

y = -2x + 8 is the answer to the question

8 0
3 years ago
Kelly works two jobs. She usually works at a retail store for 8 hours during the day and is paid $12.90 per hour by the store. I
quester [9]

Answer:

i believe its 12.55

Step-by-step explanation:

if you add both number,  12.90 and 12.20, then divide by 2.

you'll will gain the same result

6 0
3 years ago
Simplify (2b+9)+(13+5b)
Andrei [34K]
The answer is because i combined the liked terms 7b+22
3 0
3 years ago
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