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goblinko [34]
3 years ago
5

Someone hiking a straight line up a mountain trail hikes a total of 7 miles to gain 2 miles of elevation. What is the angle of i

nclination of the mountain trail?
Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer:

16.6 degrees (to nearest tenth)

Step-by-step explanation:

Angle of inclination =  the angle whose sine is 2/7.

Its  the sine because  7 miles = hypotenuse and elevation ,2 miles , = opposite side).

This is 16.6 degrees (to nearest tenth)


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Can the sum of two irrational numbers ever be a rational number?
andrew-mc [135]
Irrational numbers are numbers that can not be written<span> as a ratio of two integers.  (example: square root of 2). Rational numbers on the other hand can be written as a ratio, as decimal or percentage.
If X is a irrational number, than the number Y=1-X is also irrational and the sum of these two irrational numbers is: X+Y=X+1-X=1 is rational number.
So, the sum of two irrational numbers can be a rational number. </span>
7 0
3 years ago
Suppose you are offered just one slice from a round pizza (in other words, a sector of a circle). The slice must have a perimete
schepotkina [342]
The answer is diameter: 32 in, area: 64 in²

The perimeter of a sector of a circle is:
P = 2r + l
l = r<span>θ
P = 2r + r</span>θ<span>

P = 32 in
32 = 2r + r</span><span>θ
</span>32 - 2r = r<span>θ
</span>θ = (32 - 2r)/r
θ = (2*16 - 2*r)/r
θ = 2(16 - r)/r<span>

Area of the sector of the circle is:
A = r</span>²/2 * θ
A = r²/2 * 2(16 - r)/r
A = r² * (16 - r)/r
A = r(16 - r)
A = 16r - r²

For the maximum area:
A' = 16 - 2r
A' = 0
16 - 2r = 0
16 = 2r
r = 8 in

The diameter (D) of the circle is twice of the radius:
D = 2r = 2 * 8 = 16 in

The maximum area is:
A = 16r - r²
r = 8 in
A = 16 * 8 - 8²
A = 128 - 64
A = 64 in²
7 0
3 years ago
How many waffles can be made from 1 dozen eggs, assuming you have enough of all other ingredients?given: 2 cups flour + 3 eggs +
romanna [79]
1 dozen is 12. 12/3 * 4 = 16 waffles.
5 0
3 years ago
Read 2 more answers
Faye is making muffins. The recipe calls for 1/2 cup of walnuts to sprinkle on the tops of the muffins. Faye plans to put nuts o
lara31 [8.8K]

Answer:

Alright

it would be 1/4(1/2w)

Step-by-step explanation:

1/4 times 1/2 times w which is the amount of walnuts

1/2 times 1/4 equal 0.125

1/8

4 0
3 years ago
Read 2 more answers
How am I supposed to solve this equation? <br><br>​
mario62 [17]

Answer:

x=11/5

Step-by-step explanation:

Firstly you should transfer the denominator to the RHS from LHS

So you'll get

2x+1=3(-x+4)

so now

2x+1=12-3x

2x+1+3x=12

5x+1=12

5x=12-1

5x=11

x=11/5

7 0
3 years ago
Read 2 more answers
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