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lord [1]
2 years ago
8

He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t

hat the wind is coming from the west at 68 miles per hour. in order to travel in a straight line, the ring wraiths decide to head northwest. at what speed should they fly (omit units)?

Mathematics
1 answer:
kiruha [24]2 years ago
6 0

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

 

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

<span>flight = 96.17 miles per hr</span>

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Mr. Velasquez built a playground. It has one section with a slide and another section with a swing set. A pathway connects the t
posledela

Answer:

A_1 = 24m^2 -- Swing set

A_2 = 16m^2 -- Slide

A_3 = 5m^2 --- Pathway

Step-by-step explanation:

Missing part of the question:

Fill in the table above to show the area of each section (see attachment for table)

The area of each section is calculated as:

Area = Length * Width

For the Swing set

A_1 = 8m * 3m

A_1 = 24m^2

For the Slide

A_2 = 8m * 2m

A_2 = 16m^2

For the Pathway

A_3 = 5m * 1m

A_3 = 5m^2

The total area is:

Area=A_1 + A_2 + A_3

Area = 24m^2 + 16m^2 + 5m^2

Area = 45m^2

4 0
1 year ago
JL has coordinates J(-6, 1) and L(-4,3).<br> Find the coordinates of the midpoint.
ikadub [295]

Answer:

The coordinates of the mid-point of JL are (-5 , 2)

Step-by-step explanation:

If point (x , y) is the mid-point of a segment whose end-points are (x_{1},y_{1}) and (x_{2},y_{2}), then x=\frac{x_{1}+x_{2}}{2} and  y=\frac{y_{1}+y_{2}}{2}

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

∴  x_{1} = -6 and  y_{1} = 1

∵ The coordinates of L are (-4 , 3)

∴  x_{2} = -4 and  y_{2} = 3

Lets use the rule above to find the mid-point of JL

∵ x=\frac{-6+-4}{2}=\frac{-10}{2}

∴ x = -5

∴ The x-coordinate of the mid-point is -5

∵ y=\frac{1+3}{2}=\frac{4}{2}

∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)

5 0
2 years ago
Which linear inequality will not have a shared solution set with the graphed linear inequality? y &lt; Five-thirdsx – 2 y &lt; N
elena-14-01-66 [18.8K]

Answer:

the third option

Step-by-step explanation:

idk :/

8 0
1 year ago
Read 2 more answers
Gavyn rolls a fair dice 540 times.<br> How many times would Gavyn expect to roll a four?
Flura [38]
540 / 4 = 135 times.
3 0
1 year ago
Read 2 more answers
A rectangle has a length of (3.2a + 0.18b)centimeters.The width is half the length. Sasha writes the expression (12.8a + 0.72b)
jeka94
The width is half the length, so is
  width = (1/2)*length
  width = (1/2)*(<span>3.2a + 0.18b) cm
  width = (1.6a +0.09b) cm

The perimeter of the rectangle is twice the sum of length and width.
  perimeter = 2*(length + width)
  perimeter = 2*((3.2a +0.18b) cm + (1.6a +0.09b) cm)
  perimeter = 2*(4.8a +0.27b) cm)
  perimeter = (9.6a +0.54b) cm

Sasha did not get this answer, so apparently ...
  her reasoning was not correct.</span>
8 0
1 year ago
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