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
Stella [2.4K]
2 years ago
10

A boat that is 2 miles offshore from a lighthouse is moving parallel to the coast. The light on the lighthouse is turning at the

rate of 100 degree per minute.
How fast does the light appear to be moving when it hits the boat when the boat is 1 mile upshore from the lighthouse?
Mathematics
1 answer:
Papessa [141]2 years ago
4 0

Answer:

speed of light movement when boat is 1 mile from light house is 0.029  miles/sec

Step-by-step explanation:

Given data:

distance of boat from light house is 2 miles

rate of turning of light is 100 degree per minute

w = 100 degree/min

w = 100 \times \frac{\pi}{180} rad/min

w = 1.745 rad/min

w = 0.0290 rad/sec

speed of movement of light v = w\times r

v = 0.029 \times 1 = 0.029 mile/sec

thus speed of light movement when boat is 1 mile from light house is 0.029  miles/sec

You might be interested in
Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.​
Lubov Fominskaja [6]

Answer:

3 times Mike's amount = 3h

4 0
2 years ago
Evaluate   by distributing and find the expression 
Elden [556K]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Given H(6,7) and I(-7,-6), if point G lies 1/2 of the way along line segment HI, Santiago argues that point G is located at the
irinina [24]

Given the points H(6,7) and I(-7,-6).

If point G lies \frac{1}{2} of the way along line segment HI.

Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.

So, by using the cross section formula we can determine the coordinates of point G.

For the given points say (x_1, y_1) and (x_2, y_2) divided is in the ratio m_1 : m_2, the coordinates are (\frac{m_1x_2+m_2x_1}{m_1+m_2} , \frac{m_1y_2+m_2y_1}{m_1+m_2} )

Coordinates G = (\frac{(1 \times -7)+(1 \times 6)}{2} , \frac{(1 \times -6)+(1 \times 7)}{2})

= (-0.5 , 0.5)

Hence, the coordinates of G are (-0.5 , 0.5).

So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.

8 0
3 years ago
Is (1,9) a solution to this system of<br> equations?<br> y = x + 6<br> y = 2x + 7?
Alex Ar [27]

Answer:

No, the solution of the system is (-1,5)

5 0
3 years ago
For the sequence 3, 8, 13, 18, 23, ….: (i) Find recursive and non-recursive formulas. (ii) Prove the non-recursive formula using
Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Given is the sequence 3, 8, 13, 18, 23, ….:

We find that this is a geometric sequence with each term added with 5 to the previous term

Hence recursive formula is a_n =a_{n-1} +5

Non recursive formula:

a_n =a_{n-1} +5=a_{n-2} +2(5)\\=a_{n-3} +3(5)-...\\=a_{n-(n-1)} +5(n-1)\\=a_1+(n-1)5\\=3+5n-5\\=5n-2

iii) Start with 3.

Add 5 and write as 2nd term

Take the resulting term and add 5 and mark as 3rd term

Repeat this m times.

7 0
3 years ago
Other questions:
  • Can someone please solve this??
    14·1 answer
  • If f(x) = 2x + 1, find f(1).
    7·1 answer
  • Josh divided a number by eight .His quotient was 73 with a remainder of six .what was the number he divided?
    11·1 answer
  • What is the slope of the line?<br><br> A. 0<br> B. 1<br> C. undefined<br> D. infinity
    15·1 answer
  • A triangle has vertices at R(1, 1), S(-2,-4), and T-3, -3). The triangle is transformed according to the rule Ro, 270 What the c
    12·1 answer
  • The perpendicular bisector of ABC intersect at point G and are shown in blue. Find BG
    15·1 answer
  • Sum of Angles<br> Find the value of x and the measure of every angle.<br> It is Geometry
    8·1 answer
  • GUYSS HELP ME OUT HERE ON THIS QUESTION SO I CAN GET FREE WIFI
    13·1 answer
  • (Look at photo for reference)
    7·1 answer
  • NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!