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
IgorC [24]
3 years ago
8

Two families are going sailing. Family A leaves the marina and sails 2.3 miles due north, then sails 3 miles due west. Family B

leaves the marina and sails 2.3 miles due south, then sails 3 miles in a direction 1° north of due east.
Which family is farther from the marina? Explain your reasoning.
Mathematics
1 answer:
sasho [114]3 years ago
6 0

Answer:

A

Step-by-step explanation:

We can solve this by drawing it out

Family B has part of their north-south direction negated by going 1 degree north of east, because they are going south and then going north. Family A does not do this, and as a result, with all else equal, they go further away.

You might be interested in
WILL GIVE BRAINLY NEED HELP BAD PLZ WUICK <br> What is the perimeter of the triangle?<br> units
AysviL [449]

Answer:

26units!

Step-by-step explanation:

4 0
3 years ago
Which of the following are solutions to the system graphed below.
Kisachek [45]
Weird. I think you just need to look if the point falls on the shaded area. But only (-5,5) does ...

4 0
3 years ago
A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t
MakcuM [25]

Answer:

165.

Step-by-step explanation:

Since repetition isn't allowed, there would be 11 choices for the first donut, (11 - 1) = 10 choices for the second donut, and (11 - 2) = 9 choices for the third donut. If the order in which donuts are placed in the bag matters, there would be 11 \times 10 \times 9 unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type 3 \times 2 \times 1 = 6 times.

For example, if a bag includes donut of type x, y, and z, the count 11 \times 10 \times 9 would include the following 3 \times 2 \times 1 arrangements:

  • xyz.
  • xzy.
  • yxz.
  • yzx.
  • zxy.
  • zyx.

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count 11 \times 10 \times 9 by 3 \times 2 \times 1 = 6 to find the actual number of donut combinations:

\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of 3 objects from a set of 11 distinct objects:

\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

5 0
2 years ago
Look at the two expressions.<br><br>3x−18<br><br>3⋅(x−6)<br><br>Are the two expressions equivalent?
Ivanshal [37]
Yes because if you distribute the 3 and multiply it with 3 • x and 3• 6 you’ll get 3x-18
8 0
3 years ago
Read 2 more answers
If a stadium pays $11000 for labor and $7000 for parking what would the stadiums parking revenue be if the stadium is hoping par
Alchen [17]

Answer:

$300,000

Step-by-step explanation:

Labor  cost = $11,000

Parking  cost= $7,000

Parking Labor cost = $ 18,000

Parking Revenue = ?

From the question, parking labor cost is 6% of Parking revenue.

6% =   Parking Labor cost/ Parking Revenue------------------------------------ (1)

Further substituting in (1) gives:

6/100  =  18,000/ Parking Revenue

Making Parking Revenue the subject of the formula, we have:

Parking Revenue = (100 x 18,000)/6

                             = $300,000

4 0
3 years ago
Other questions:
  • What is 805,863 rounded to the nearest hundred thousand?
    9·1 answer
  • (k+15)-(8+1) when k=10
    8·1 answer
  • Prove the identity arcsin((x-1)/(x+1))=2arctan<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20" id="TexFormula1" title=" \
    13·1 answer
  • How many different arrangements can be made with the letters in the word POWER?
    14·1 answer
  • Which statements about the right triangle are correct
    14·1 answer
  • 2 (4z-1)=3(z+2) simplify
    10·2 answers
  • The red tablecloth has a diagonal of V 10 feet. The blue tablecloth has a diagonal
    12·1 answer
  • Find derivative problem<br> Find B’(6)
    6·1 answer
  • What is the constant rate of change?​
    7·1 answer
  • Please help with this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!