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
Mumz [18]
2 years ago
9

A rowing team rowed 90 miles while going with the current in the same amount of time as it took to row 10 miles going against th

e current. The rate of the
current was 4 miles per hour. Find the rate of the rowing team in still water.
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
8 0

Answer:

5mph

Step-by-step explanation:

Let speed of boat in still water is s.

Distance proportional to speed

90/10 = (s+ 4)/(s - 4)

=> 9s - 36 = s + 4

=> 8s = 40

=> s= 5 mph

:-)

You might be interested in
In which situation is the distance traveled proportional to time? A car moving in stop-and-go traffic A person biking on a trail
Sindrei [870]
For this case, what you must do is to see in which scenario the speed of keeping constant during a certain time.
 "A person biking on a trail at 1212 miles per hour for 2020 minutes"
 We observe that the distance in this case is proportional to the time and the constant of proportionality is the speed.
 In other words:
 d = v * t
 Answer:
 the distance traveled is proportional to time in:
 "A person biking on a trail at 1212 miles per hour for 2020 minutes"
5 0
4 years ago
If θ is an angle in standard position that terminates in Quadrant III such that tanθ = 5/12, then sinθ/2 = _____
babunello [35]

Answer:

sin θ/2=5√26/26=0.196

Step-by-step explanation:

θ ∈(π,3π/2)

such that

θ/2 ∈(π/2,3π/4)

As a result,

0<sin θ/2<1, and

-1<cos θ/2<0

tan θ/2=sin  θ/2/cos θ/2

such that

tan θ/2<0

Let

t=tan θ/2

t<0

By the double angle identity for tangents

2 tan θ/2/1-(tanθ /2)^2  = tanθ

2t/1-t^2=5/12

24t=5 - 5t^2

Solve this quadratic equation for t :

t1=1/5 and

t2= -5

Discard t1 because t is not smaller than 0

Let s= sin θ/2

0<s<1.

By the definition of tangents.

tan θ/2= sin θ/2/ cos θ/2

Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.

cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2

Solve for s.

s/-√1-s^2 = -5

s^2=25(1-s^2)

s=√25/26 = 5√26/26

Therefore

sin θ/2=5√26/26=0.196....

7 0
4 years ago
Explain 2 features (properties) of a parallelogram that could be used to prove 2 sides congruent in a triangle congruence proof.
Y_Kistochka [10]
My answer is Pentagon and Square
6 0
4 years ago
Find the distance from p to l. line l contains points (-2,0 and (4,8 and point p coordinates (5,1
svet-max [94.6K]
I believe that you will use the distance formula d=x2-X1^2+y2-y1^2
7 0
3 years ago
1. Write an expression for the operation described below.<br> w minus 3
pentagon [3]

Answer:

w-3

Step-by-step explanation:

Do I really have to explain this??

4 0
3 years ago
Other questions:
  • Myra is evaluating the expression –31.7 + 4.5x, when x = 2.1. –31.7 + 4.5(2.1) = –27.2(2.1) = –57.12 What was Myra’s error? A.My
    14·2 answers
  • PLEASE HELP 20 POINTS
    13·1 answer
  • Factor x^6 - y^6 completely. Show your work
    9·1 answer
  • PLEASE HELPPPP!!!!!!!!!
    10·1 answer
  • Write a real-world situation for 7.50y + 9
    15·1 answer
  • What percent of 108 is 81
    10·1 answer
  • The total square footage of mini storage units being rented in a city is graphed to forecast future demand. The scatter plot has
    7·2 answers
  • People tend to be more Satisfied with election results if their top choices win.for how many,and what percentage,of people was t
    5·1 answer
  • Find the surface area and volume of a prism with a square base sides of 8 inches and a height of 12 inches.
    10·1 answer
  • the average age of teacher at school is 36 years.mr Smith age is 11/9 of the average. how old is Mr Smith?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!