9514 1404 393
Answer:
boat speed: (7t -95)/(6t² -110t +500)
stream speed: (37t -345)/(6t² -110t +500)
Step-by-step explanation:
The relation between time, speed, and distance is ...
time = distance/speed
The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...
25/(b-s) +44/(b+s) = t
15/(b-s) +22/(b+s) = 5
This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.
Subtracting the first equation from 2 times the second gives ...
2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)
5/(b-s) = 10 -t
5/(10 -t) = b -s
Substituting for b-s in the second equation gives ...
15/(5/(10-t)) +22/(b+s) = 5
30 -3t +22/(b+s) = 5
22/(b+s) = 3t -25
22/(3t -25) = b+s
Adding the equations for the sum and difference of speeds, we get ...
(b-s) +(b+s) = 5/(10-t) +22/(3t -25)
2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))
b = (7t -95)/(6t² -110t +500)
Subtracting the equations for sum and difference of speeds, we get ...
(b+s) -(b-s) = 22/(3t -25) -5/(10 -t)
2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))
s = (37t -345)/(6t² -110t +500)
__
The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.
The speed of the stream is (37t -345)/(6t² -110t +500) km/h.
__
Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.
A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.
Answer:
659.6 ft
Step-by-step explanation:
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet
Last year, Maria planted a tree that is 5 11/12 feet tall. This year, the tree is 7 2/3 feet tall. How many feet did the tree grow?
Answer
Step-by-step explanation:
1 3/4
Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?
Answer:
1008
Step-by-step explanation:
All you have to do is find what 24 percent of 4200 is.
Rosa and her friends are eating out for dinner.
The bill was $45.80. They want to leave a 20% tip.
How much should they leave for a tip (gratuity)?
Answer:$9.16
Step-by-step explanation:
What I did was 20% of $45.80! If you have a tip or a percent problem you can think of it as that percent of the certain number. In math "of" means mupltiply.
Punch in your calculator .2 which is 20% times 45.8 and you get your answer $9.16.
Hope this helps bwo
What is the independent and dependent variable in this statement, types of pizza or number of votes
Answer: type of pizza is dependant and the number of votes is independent
Step-by-step explanation:
the type of pizza they get depends on how many votes there are
What is the perimeter of the triangle?
The perimeter of the triangle is 34.2 units
How to determine the valueTo determine the value of the perimeter, we need to know the following;
A triangle has three sidesA triangle has three anglesThe sum total of the interior angles of a triangle is 180 degreesA triangle is a 3 - sided polygonThe formula that is used for calculating the perimeter of a triangle is expressed as;
P = a + b+ c
Such that a , b and c are the lengths of the sides of the triangle
Then, we have that;
Using the Pythagorean theorem
a² = 81 + 121
a² = 202
a = √202 = 14.2 units
Perimeter = 9 + 11 + 14.2
Add the values
Perimeter = 34.2 units
Learn more about triangles at: https://brainly.com/question/14285697
#SPJ1
Which of the following describes theoretical probability?
Answer:
Roll of a Die
Step-by-step explanation:
The ratio of boys to girls in a certain school is 2:3 calculate how many boys are there if there are 1500 learners in the school.
Answer:
700
Step-by-step explanation:
Answer:
the answer is 900 students
Step-by-step explanation:
if there are 5 parts to the ratio then take that and divide it by the total number of learners and then multply it by the ratio for the boys
module six review and discussion-based assessment
Answer:
okay what's your question?
Step-by-step explanation:
Answer:
whats the question
Step-by-step explanation:
Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️
Answer:
The answer is the second one!
Have a wonderful day/night! <3
What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples
Pls help asap giving brainliest waited for 5 hours oof
Answer:3rd answer down (top to bottom)
Step-by-step explanation: c=dπ so
c=96π
c=96*3.14=301.4
so 3rd one down is the answer!
Hope this helps!
Answer:
c
Step-by-step explanation:
because its true
In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.
Answer:
<P = 56 degrees
Step-by-step explanation:
Given the following
m<R = 90 degrees
QR = 61feet = Adjacent
RP = 90 feet= Opposite
Required
tan<P = opp/adj
Tan<P = 90/61
<P = arc tan (90/61)
<P = arctan 1.4754
<P = 55.9
<P = 56 degrees to the nearest degree
Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
4x^34x
3
4, x, cubed
(Choice B)
B
b=9b=9b, equals, 9
(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text
(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72
(Choice E)
E
x+y-\dfrac83x+y−
3
8
Answer:
c b
Step-by-step explanation:
khan
I need help fast not not like serious help me
Answer:
D
Step-by-step explanation:
hope it helps .
sorry about the pic , kinda hard to get the whole
Find the total surface area of the prism below
Percent increase in the price
Answer:
?
Step-by-step explanation:
What should be done first to evaluate the expression?
6 + 8 ÷ 4 + (4 × 5)²
Answer:
First, follow the first step in PEMDAS so you would do the parenthesis first followed by exponents, multiplication, division, addition, then subtraction
Step-by-step explanation:
6 + 8 ÷ 4 (4*5)^2
6 + 8 ÷ 4 + 20^2
6 + 8 ÷ 4 + 400
6 + 2 + 400
= 408
plz help me 2 plz 2 plz 2
Step-by-step explanation:
P(-4,7)
Q(-1,-1)
R(-8,-1)
The equation of the line shown in the graph is y = ?.
Answer:
y=5x-5
Step-by-step explanation:
we start from -5 and go rise/run so its 5
Given that 1 inch =2.54 how many centimeters are in 8 feet
Answer:
243.84 cm
Step-by-step explanation:
8 feet = 96 inches
96 inches x 2.54 in/cm = 243.84 cm
Plzzz can someone help me out???
At 7am there was 4 inches of snow on the ground. After that, the snow fell at a rate of 1.5 inches per hour. Equation:
Answer:
y(t) = 4 + 1.5t
.
Step-by-step explanation:
Initial amount of snow = 4 inches
Fall rate of snow = 1.5 inch per hour
Equation to model the scenario goes thus :
Initial amount of snow + (fall rate of snow * number of hours)
Let the number of hours = h
4 inches + (1.5 inch per hour * h)
Equation, y(t) becomes ;
y(t) = 4 + 1.5t
When given the picture using what you know find the answer. What is m
Answer:
40 degrees
Step-by-step explanation:
Answer:
Angle E = 25 deg because of reflective
Angle C = 115 degree because 180 - 65
Since triangle = 180 deg
Angle D = 180 - 115 - 25
= 40 deg
Step-by-step explanation:
I need help ASAP The number of snacks in 5 packages was 122, 134, 150, 145, and 133. Suppose the mean for 6 packages was 144. How many snacks were in the sixth package?
what is 10c + 20 = 40 C =
Answer: c = 2
Step-by-step explanation:
First you write out your equation: 10c + 20 = 40
Next, since the equation is adding, you can subtract 20 the constant on both sides of the equation:
10c + 20 = 40
- 20 - 20
The 20s cancel each other out and 40 - 20 is 20.
Our new equation looks like: 10c = 20
Now to find the value of C you are going to divide 10 on both sides because the equation is multiplying.
10c divided by 10 is just c and 20 divided by 10 is 2.
Therefore, you are left with c = 2
hope this helps have a nice day :)
How many centimeters are equal to 9 meters?
i think Is 9p centímetros
Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?
Answer:
$12.75
Step-by-step explanation:
8.75 + 3.50 = 12.25
25 - 12.25= 12.75
Determine the value of x. Round answer to the nearest hundredth. thank you to whoever helps! Will Be Marked as BRAINLIEST!
Answer:
34.61Step-by-step explanation:
Find the diagram attached
From the diagram;
Hypotenuse = 81.9
Angle of elevation = 65degrees
Required
The value of x (Adjacent)
Using the SOH CAH TOA identity
cos theta = adjacent/Hypotenuse
cos 65 = x/81.9
x = 81.9cos65
x = 81.9(0.4226)
x = 34.61
Hence the value of x to the nearest hundredth is 34.61
Help! Quickly!
I beg thy to help.
Answer:
I think that B is the correct answer , 353.3 ft2 .
Good luck ^^
