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
yarga [219]
2 years ago
9

about travels in the following path. How far north did it travel? Round your answer to the nearest 10th of a mile

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
5 0

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

You might be interested in
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,
Rashid [163]

Answer:

A. 384.16

B. 2,401

C. 9,604

D. No

Step-by-step explanation:

Calculation to determine how large a sample should be taken for each desired margin of error

First step is to find σ which represent Population Standard deviation

σ=($50,000-$30,000)/4

σ=$20,000/4

σ = 5,000

Now let calculate how large a sample should be taken for each desired margin of error

Using this formula

n = (Za/2*σ/E)^2

Where,

Za/2=1-0.95/2

Za/2=0.05/2

Za/2=0.025

Z-score 0.025=1.96

Za/2=1.96

σ =5,000

E represent Desired margin of error

Let plug in the formula

a. $500

n = (1.96* 5,000/$500)^2

n=(9,800/$500)^2

n=(19.6)^2

n = 384.16

b. $200

n = (1.96*5,000/200)^2

n=(9,800/$200)^2

n=(49)^2

n = 2,401

c. $100

n = (1.96*5,000/$100)^2

n=(9,800/$100)^2

n=(98)^2

n = 9,604

Therefore how large a sample should be taken for each desired margin of error will be :

A. $500= 384.16

B. $200= 2,401

C. $100= 9,604

d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.

7 0
3 years ago
Sorry but I rly don't understand it again.​
lutik1710 [3]

Answer:

TRUE

Step-by-step explanation:

2x + 3x NOT EQUAL TO 4x+5x

COMBINE LIKE TERMS

5x NOT EQUAL TO 9x

3 0
3 years ago
Somebody please help!
Leona [35]
The answer would be 101

Steps:
2+8=10
10x10=100 (because of the exponent)
100+1=101
3 0
3 years ago
What is the expression for "the difference between 5 times a number and twice that number"?
ycow [4]
Hey there :)

Before translating the sentence into mathematics, let r represent 'a number'

5 times a number = 5r
2 times that number = 2r

The difference between them = 5r - 2r 

* Your equation 
5r - 2r

* Solving the equation 
= 5r - 2r
= 3r
3 0
3 years ago
MANY PTS AND BRAINLY FAST
Troyanec [42]

Answer:

Option C

Step-by-step explanation:

we have

-6x^{2} -6x+12=0

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-6x^{2} -6x=-12

step 2

Factor -6 leading coefficient'

-6(x^{2} +x)=-12

step 3

Complete the square

Remember to balance the equation by adding the same constants to each side

-6(x^{2} +x+0.25)=-12-1.5

-6(x^{2} +x+0.25)=-13.5

step 4

Rewrite as perfect squares

-6(x+0.5)^{2}=-13.5

simplify

(x+0.5)^{2}=2.25

5 0
3 years ago
Read 2 more answers
Other questions:
  • 1 and 1/2 - 3/4 = sdfghjkloiuytfdsawer5tyuioikjhgfvcxcvbnjkolijuhgvfcxc vbnjkolpoiuygfcdx
    12·1 answer
  • What is Bernoulli theore?????​
    10·2 answers
  • Evaluate each expression below.<br>1. 7-2(x-4) when x=5​
    7·2 answers
  • Rewrite the given equation in slope-intercept form<br> y – 4 = 3(x - 2)
    9·1 answer
  • You pay 5$ and 10$ to begin a membership. You need to spend at least 50$. Write an inequality.
    5·1 answer
  • Find the area of figure ABCDE if angles A, B, and C are right triangle
    14·1 answer
  • Elena bouggt 8 tokens for $4.40. At this rate: How many tokens could she buy with $6.05? Do not include units (tokens) in your a
    8·1 answer
  • PLEASE HELP IM LITERALLY STUCK!
    5·1 answer
  • Need help benja plz...​
    9·2 answers
  • Tim read 70% of his book containing 230 pages. How many pages does he have left?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!