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cupoosta [38]
3 years ago
13

An airplane flying at an altitude of 10,000 feet passes directly over a fixed object on the ground. One minute later, the angle

of depression of the object is 42°. Approximate the speed of the airplane to the nearest mile per hour.
Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer:

126 miles per hour

Step-by-step explanation:

We can draw a triangle and we can use trigonometry to write:

a=\frac{10,000}{Tan(42)}=11,106.13

Where a is the distance plane flew in 1 minute

Since, 11,106.13 FEET in 1 MINUTE, to get in hours, we multiply by 60:

11,106.13 * 60 = 66,367.51 feet per hour

Now, to get in miles per hour, we divide by 5280 [5280 feet = 1 mi]

66,367.51 / 5280 = 126.21 miles per hour

To the nearest mph, it would be 126 miles per hour

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Goryan [66]

Answer:

{ \tt{base =  \sqrt{ {23}^{2}  -  {16}^{2} }  = 16.5 \: cm}} \\ area =  \frac{1}{2}  \times base \times height \\ area =  \frac{1}{2}  \times 16.5 \times 16 \\ { \tt{area = 132 \:  {cm}^{2} }}

6 0
3 years ago
Plot a graph for the following data recorded for an object falling from rest
shusha [124]
  1. The kind of curve obtained is linear.
  2. The relationship between the variables is direct variation.
  3. After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  4. The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

  • The kind of curve obtained is linear.
  • The relationship between the variables is direct variation.
  • After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  • The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0
2 years ago
If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?
sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0
3 years ago
Read 2 more answers
HELP!! 30 points!!!!
just olya [345]

Answer:32

Stby-step explanation:

3 0
3 years ago
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3x+4y=5 what is this in slope intercept form
tia_tia [17]
Slope intercept form is to leave y by itself. ok this is the initial question 3x+4y=5 and we want y by itself. first subtract 3x by both sides. you now have 4y=5-3x, then divide 4 by both sides. y=5-3x/4, this is slope intercept form, if you still need help download the app socratic and photomath.
3 0
3 years ago
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