All categories

3 years ago

Convert into a decimal degree measure. 165° 37' 44"

Mathematics

1 answer:

andrew11 [14]3 years ago

4 0

Answer:

165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

Step-by-step explanation:

Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

165 + 37 x 1/60 + 44 x 1/3600

simplify: 74533/450

Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).

You might be interested in

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

2 years ago

What is the interquartile range of the data set

Verizon [17]

There are many methods of doing this. This one finds the median; however, instead of halving, you can use quarters instead.

First order the data, ascendingly:

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Find the median:

For an even number of values: The number of values / 2

For an odd number of values: The number of values + 1 / 2

11 is odd.

11 + 1 / 2

12 / 2 = 6

The median is at the 6th position.

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

The median is 20.

Other method:

You don't need this step.

Using the values lower than the median, exclusive, find the median of the lower values;

For an odd number of values: The number of values + 1 / 2

10, 17, 18, 18, 18

5 + 1 / 2 = 6 / 2 = 3

The median of the lower values is at position 3.

This is the lower quartile.

10, 17, 18, 18, 18

Other method:

For an odd number of values: The number of values + 1 / 4

11 + 1 / 4 = 12 / 4 = 3

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Using the values greater than the median, exclusive, find the median:

For an odd number of values: The number of values + 1 / 2

20, 25, 25, 30, 30

5 + 1 / 2 = 6 / 2 = 3

The median of the upper values is at position 3.

20, 25, 25, 30, 30

This is 25.

This is the upper quartile.

Other method:

For an odd number of values: (The number of values + 1 / 4) * 3

(11 + 1 / 4) * 3 = (12 / 4) * 3 = 3 * 3 = 9

10, 17, 18, 18, 18, 20, 20, 25, 25, 30, 30

Your interquartile range is 3 - 25

25 - 3 = 21

8 0

3 years ago

M∠Q = m∠R = m∠S = 40 POINTS!!!!!!!

Marizza181 [45]

9514 1404 393

Answer:

∠Q = 89°

∠R = 123°

∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

arc QRS = 2·∠P = 114°

So, ...

arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

arc PQ = 360° -arc PS -arc QRS

arc PQ = 360° -137° -114° = 109°

∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

∠Q = 89°

∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

∠R = 123°

∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

∠S = 91°

7 0

3 years ago

Which ordered pair tells the location of the smiley face on the coordinate system?

Jet001 [13]

Answer:

(5,2)

Step-by-step explanation:

You have to look to the X axis and you'll see the smiley face 5 bars/lines across from the vertex or 0.

Next, you'll need to look at the Y axis and see that the smiley face is 2 bars/lines vertically from 0.

So all you need to do is put the numbers into (x,y) and you'll get (5,2)

Hope this helps!

8 0

3 years ago

2. Deshay borrowed $400 from the bank for 1 year. The bank charges 14% interest

Papessa [141]

Answer:

The bank charged 56 dollars in interest

7 0

3 years ago