1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
REY [17]
3 years ago
6

49*32’55” + 37*27’15” = ?

Mathematics
1 answer:
MrRissso [65]3 years ago
6 0

Answer:

87°10''

Step-by-step explanation:

In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720

In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240

We now add the fractional parts plus the whole part of the angles together.

So,

49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.

We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600

86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' +  1'  + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''

So, 49°32'55'' + 37°27'15'' = 87°10''

You might be interested in
At 9:00, Paula has x cups of food in a container for her dog. Paula pours a 2 1/2 cup box of fodd into the container. Then she r
Anestetic [448]

Answer:

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

Step-by-step explanation:

X + (2 and 1/2) - 3/4 = 5 and 1/4

X + 2 and 2/4  - 3/4 = 5 and 1/4  <--- common denominator

X + 10/4 - 3/4 = 21/4

X + 7/4 = 21/4

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

3 0
3 years ago
Read 2 more answers
jamal is making pancakes. He has 6 3/4 cups of batter, but he needs a total of 12 cups. How much more batter does Jamal need?
vampirchik [111]
Jamil has already 6 3/4 cups of butter.
He need 12. SO in order to get the needed butter, we subtract 6 3/4 to 12.

= 12 - 6 3/4
= 11 4/4 - 6 3/4
= 5 1/4

So Jamil needs 5 1/4 cups of butter to achieve the 12 cups.
8 0
2 years ago
A small regional carrier accepted 19 reservations for a particular flight with 17 seats. 14 reservations went to regular custome
Ludmilka [50]

Answer:

(a) The probability of overbooking is 0.2135.

(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

P (A remaining passenger will arrive), <em>p</em> = 0.52

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.52.

(1)

Compute the probability of overbooking  as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

                                        =P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

=P(X

Thus, the probability that the flight has empty seats is 0.4625.

4 0
3 years ago
(a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)
Andreas93 [3]

Answer:

- 3a³ + 5a² - 3a + 7

Step-by-step explanation:

Given

(a³ - 2a + 5) - (4a³ - 5a² + a - 2)

Distribute both parenthesis noting the second is distributed by - 1

= a³ - 2a + 5 - 4a³ + 5a² - a + 2 ← collect like terms

= (a³ - 4a³ ) + 5a² + (- 2a - a) + (5 + 2)

= - 3a³ + 5a² - 3a + 7

3 0
3 years ago
A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?
Ray Of Light [21]

Answer:

yes

Step-by-step explanation:

By pythagoras' theorem,

97^2 = 9409

65^2 + 72^2 = 9409

since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle

This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

6 0
2 years ago
Other questions:
  • A rectangle has a width of 9 inches. The area of the rectangle is 648 square inches. What is the length, in inches, of the recta
    13·1 answer
  • Who is known as the "founding father of geometry?"?
    14·2 answers
  • Solve the inaquality 2(x-1)&gt;8<br><img src="https://tex.z-dn.net/?f=2%28x%20-%201%29%20%5Cgeqslant%208" id="TexFormula1" title
    9·1 answer
  • What’s the area of a rectangle measuring 13 inches times 12 inches ?
    11·1 answer
  • (Zoom in) I’m just typing cause it needs to b 20 characters long.
    12·1 answer
  • At a local sporting goods store, employees get paid a commission that is 6% of their sales. gina's sales for the week was $441.0
    13·2 answers
  • Y is inversely proportional to x.<br> When y=50, x=4 <br> Work out y when x=8
    13·1 answer
  • The given point in on the graph of y=f(x). Find a point on the graph of y=g(x)
    6·1 answer
  • Which of these sugar syrup will be the sweetest ? The sugar syrup with,Required to answer. Single choice.Immersive Reader (1 Poi
    11·1 answer
  • What is the least common multiple of the two denominators?<br> 6/8, 4/32
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!