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ki77a [65]
3 years ago
6

In ΔEFG, the measure of ∠G=90°, GE = 40 feet, and EF = 44 feet. Find the measure of ∠F to the nearest degree.

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

42°

Step-by-step explanation:

It is always good to draw a picture to help you.  In this case

tan F = 40/44

m∠F = arctan (40/44) = 42°

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Fred earns dollars. Chad earns 45% more than Fred which expression represents the amount of money in dollars that chad earns
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$0.45x

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Fred earns dollars. Let Fred earns $x.

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=\dfrac{45}{100}x\\\\=0.45x

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The length of a board is 30.75 inches. Bradley cut the board into 3 smaller pieces that were all the same length. Which expressi
Harman [31]

Answer:

The length of each smaller piece, l=L/n inches

Step-by-step explanation:

This can be expressed as;

Total length=Length per piece×number of pieces

where;

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length per piece=l

number of pieces=n

Substituting in the equation;

L=l×n

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l=L/n inches

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5 0
3 years ago
Isosceles JAM has convex angle M. JM=35,MA=4n+3, angle J=14w-1, and angle m=98 Find n. Find w. Find the perimeter of JAM
Lena [83]

Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

⇒ 35 = 4n + 3

⇒ 4n = 32

⇒ n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

⇒ w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, \cos 41 = \frac{JP}{JM} = \frac{JP}{35}

⇒ JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83  

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

4 0
4 years ago
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