At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole?
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question and the graph in the attached file.
[tex]\to \frac{12}{l}= \frac{5.5}{l-x}\\\\\to 12(l - x) = 5.5l\\\\\to 12l - 12x = 5.5l\\\\\to 12l -5.5l = 12x\\\\\to 6.5l =12x\\\\\to 12x = 6.5l \\\\\to x = ( \frac{6.5}{12})l \\\\[/tex]
Calculating the Derivative of the above value:
[tex]\to \frac{dx}{dt} = (\frac{6.5}{12}) \frac{dl}{dt}\\\\\to \frac{dl}{dt} = (\frac{12}{6.5}) \frac{dx}{dt}\\\\\to \frac{dx}{dt} = 2 \\\\ \to \frac{dl}{dt} = ( \frac{12}{6.5} \times 2)[/tex]
[tex]=\frac{24}{6.5} \\\\= \frac{48}{13} \ \frac{ft}{sec}[/tex]
by subtracting the rate of the shade from that of the man:
[tex]\to \frac{48}{13} - 2 \\\\ \to \frac{48-26}{13} \\\\ \to \frac{22}{13} \ \frac{ft}{sec}[/tex]
Related Questions
need help wit this problem
X/fx
2 3/4
-1 3/2
0 3
1 6
2 12
tht's the table, wish I can take a pic of 2
Answers
WILL MARK BRAINLY! The population of a particular city is given by the function P(t) = 82,100(1.02), where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) after 15 years?
Hint: Percentage Growth Rate = r × 100 in A= A0(1 + r)^t
○ 82,100, 2% semiannually, 110,658
○ 82,100, 10.2% annually, 352,425
○ 82,100, 2% annually, 110,496
○ 82,100, 20% semiannually, 985,200
Answers
Answer:
P(t) = 82,100(1.02)^t
1.t is the time in years
2.P(t) is the population after t years
3. 100%=1 102-100=2% so the interest rate is 2 %
102%=1.02
4. after 15 year just put in term s of 't' (wich is represent the years) 15 :
Step-by-step explanation:
Answer:
82,100, 2% annually, and 110,496
Step-by-step explanation:
took the thing ya know
To purchase $12,300 worth of machinery for her business, Lucy made a down payment of $1,500 and took out a business loan for the rest. After 3 years of paying monthly payments of $328.57, she finally paid off the loan.
(a) What was the total amount Lucy ended up paying for the machinery (including the down payment and monthly payments)?
(b) How much interest did Lucy pay on the loan?
Answers
Answer:
3% to as high as 80%
Step-by-step explanation:
can someone please help....please & thank you.
Answers
Answer:
C
Step-by-step explanation:
Answer:
1. m<13
2. x≥1
3. p>-3
Step-by-step explanation:
1. m-7<6
Add seven to both sides
m<13
2. x+4.5≥5.5
subtract 4.5 from both sides
x≥1
3. p+12>9
subtract 12 from both sides
p>-3
The phases of the moon are caused by:
A) tilt of the earth
b) tilt of the moon
c) revolution of the earth around the sun
d) revolution of the moon around the earth
Answers
Answer:
The moon's phases are caused by the changing angles of the earth's shadows and reflected sunlight as the moon revolves around the Earth over the course of about 1 month (28 days). An imaginary line where the Earth is tilted.
Answer:
b. tilt of moon
Step-by-step explanation:
it would be the same reason we get our season because the moon is not directly on its vertical axis
Find the unit rate.
486 games every 3 seasons
Answers
Answer:
162 each season
Step-by-step explanation:
Answer:
The unit rate is 162 games per season
Step-by-step explanation:
Solve for x using the
distributive property.
3(x + 4) = 6
Answers
Hello!
[tex]\large\boxed{x = -2}[/tex]
3(x + 4) = 6
Distribute the terms inside of the parenthesis with the coefficient outside:
3(x) + 3(4) = 6
Simplify:
3x + 12 = 6
Subtract 12 from both sides:
3x + 12 - 12 = 6 - 12
3x = -6
Divide both sides by 3:
3x/3 = -6/3
x = -2
x2+x2+x2 and 4x2 equivalent when x = 3? Explain please
Answers
Answer:
Step-by-step explanation:
if you mean x^2+x^2+x^2=3x^2
if x=3, we have 3*3^2=3*9=27
4x^2=4*3^2=4*9=36
How many times greater is the value of 2 digit in 20 than the 2 digit in 952?
Answers
Answer:
hebsbbsbshsdbdbdjdjsjjdjdjdjbbfa I rbjf
Please answer I’m begging you
Answers
he will need to score 32 points per game he wil; beat the record by 3 points with 190,meaning the new median is greater than the older median so your answer is C.
if ABC ~ XYZ fi d XY. A 20. B 21. C 24. D not possible
Answers
Answer:
Choice D: not possible
Step-by-step explanation:
The reason why it's not possible is that when you try to make an equation it never comes out correct. You could also try plugging in the numbers then figure it out that way. It's not possible either way you do it.
A can of green spray paint is held upright 8 inches away from a wall. The nozzle on the
spray paint creates an angle of 50° as it spreads paint out. When the paint lands on the
wall (as the can is held steady) it makes the shape of a circle. What will the approximate
area of the circle be? Round your answer to the nearest hundredths of a square inch.
,500
Spray Paint
Answers
Answer:
500
Step-by-step explanation:
Find the median of the numbers in the following list
36,26,22,39,25,37,32,24,46,22,28
Answers
Median = 37
Due to the number sequence being an odd number (11 numbers) the median is equal to 37, as there is five numbers that lead up to it.
Answer:
The median is 37Step-by-step explanation:
I hope it helps ❤❤to create an equivalent expression ray said he used commutative property on the following problem. 2x(3x5)=(2x3)x5 true or false
Answers
Answer : True
Let me know if I’m wrong
Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as
a census.
a sample survey.
an experiment.
an observational study.
Answers
d is ur answer⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
The answer is D. An observational study
Step-by-step explanation:
The researchers are observing how different diets in the cattle affects their body composition. They are not counting a population or anything so it is not a census. It is not a sample survey because they aren't asking cows and it is not an experiment because they are not changing or testing anything. They are just viewing meaning it is an observational study.
your answer is D. Observational Study on 3dgenuity
If OB= 2x+1 and
BR = 3x-10 then OR=
Answers
Answer:
Wish i could help you rock
Step-by-step explanation:
Answer:
5x-9
Step-by-step explanation:
Combine like terms.
When the slope of a line is negative what trasformation is seen in relation to the parent function y=x
Answers
Answer:
y=-x, that would be the 'parent function'
for a negative linear equation
Step-by-step explanation:
Jamie earns $36 for 4 hours of work. What is her hourly pay rate?
Answers
Answer:
9 dolloars an hour man thats great pay
Step-by-step explanation:
Answer:
She gets paid $9 per hour.
Step-by-step explanation:
36/4 = 9
Attend to precision. Suppose that ∠1 and ∠2 are same-side interior angles formed by two parallel lines cut by a transversal, and that m∠1=7x-4 and m∠2=20x-5.
a.What is the value of x?
b.What is m∠1?
c.What is m∠2?
d.Explain how you found your answers.
Answers
9514 1404 393
Answer:
a) x = 7
b) m∠1 = 45°
c) m∠2 = 135°
Step-by-step explanation:
a) Same-side interior angles are supplementary, so we have ...
∠1 +∠2 = 180
(7x -4) +(20x -5) = 180
27x = 189
x = 7
__
b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.
m∠1 = 7x -4 = 7(7) -4 = 45
m∠1 = 45°
__
c) Angle 2 is the supplement of angle 1, so ...
m∠2 = 180° -45°
m∠2 = 135°
__
d) We used the relationship of angles at a transversal and the properties of equality.
Solve |x + 1| = 3 Question 12 options: A) x = 3 or x = 2 B) x = 4 C) No solutions D) x = –4 or x = 2
Answers
Answer:
x=2
x=-4
Step-by-step explanation:
[tex] |x + 1| = 3[/tex]
[tex]x + 1 = 3 \\ x + 1 = - 3[/tex]
therefore
[tex]x = 2 \\ x = - 4[/tex]
5 trays with 90 ice cubes
Answers
Answer:
450
Step-by-step explanation:
90 ice cubes time 5 trays equals a total of 450 ice cubes
james and joseph want to buy a book. James is short of $2.40 and joeeph is short of $3.60. They are able to buy the book when they pool their money. How much does the book cost?
Answers
The book costs $6.
syeda has finished 20% of her math
Answers
Answer:
woooohooooo for seyda
Step-by-step explanation:
yay for syeda wohooo
a+4b=-4 a+10b=-16
how to solve this problem
Answers
Answer:
a = 4
b = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
a + 4b = -4
a + 10b = -16
Step 2: Rewrite Systems
a + 4b = -4
Subtract 4b on both sides: a = -4 - 4bStep 3: Redefine Systems
a = -4 - 4b
a + 10b = -16
Step 4: Solve for b
Substitution
Substitute in a: -4 - 4b + 10b = -16Combine like terms: -4 + 6b = -16Isolate b term: 6b = -12Isolate b: b = -2Step 5: Solve for a
Define equation: a + 4b = -4Substitute in b: a + 4(-2) = -4Multiply: a - 8 = -4Isolate a: a = 4ok yall I really need help with this!
Answers
Answer:
25
Step-by-step explanation:
PEMDAS
Answer:
sqrt 63 = sqrt9 * sqrt7
= 3 sqrt7
Step-by-step explanation: i probally did it wrong :(
PLEASE HELP ME ASAP ITS TIMED
Answers
Answer:
The solution is (2, 1).
All other ordered pairs do not work.
Step-by-step explanation:
-2x + 5y = 1
5x - 3y = 7
-10x + 25y = 5
10x - 6y = 14
19y = 19
y = 1
5x - 3(1) = 7
5x = 10
x = 2
(2, 1)
The solution is (2, 1).
All other ordered pairs do not work.
how do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
x-7y= -49 (ANSWER?)
Answers
Answer:
[tex]y = \frac{1}{7} x + 7[/tex]
Step-by-step explanation:
x-7y = -49
i) move x to the right-hand side and change its sign
-7y = -49-x
ii) change the signs on both sides of the equation
7y = 49+x
iii) divide both sides of the equation by 7
[tex] \frac{7y}{7} = \frac{49}{7} + \frac{x}{7} [/tex]
[tex]y = 7 + \frac{1}{7} x[/tex]
iv) use the commutative property to reorder the terms
* commutative property: a+b = b+a
[tex]y = \frac{1}{7} x + 7[/tex]
18 divide by 2 * 3/5-2 simplify show all work
Answers
Answer:
9
Step-by-step explanation:
I would guess it looks like this - if not then tell me
[tex] \frac{18}{ \frac{2 \times 3}{5 - 2} } [/tex]
2×3=6
5-2=3
Then there's only
[tex] \frac{18}{ \frac{6}{3} } [/tex]
Which is equal to
[tex] \frac{18}{1} \times \frac{3}{6} = \frac{54}{6} = \frac{9}{1} = 9[/tex]
Answer:
9 or 3 2/5Step-by-step explanation:
There are two scenarios, (5 - 2) in denominator and 5 in denominator as it is not clear. Solving both:
18/2*3/(5 - 2) =9*3/3 = 9*1 =9------------------------
18/2*3/5 - 2 =9*3/5 - 2=27/5 - 2 =17/5 =3 2/5find the values if a and b such that x squared + 2x -7 = (x+a) squared + b
Answers
Given:
[tex]x^2+2x-7=(x+a)^2+b[/tex]
To find:
The values of a and b.
Solution:
We have,
[tex]x^2+2x-7=(x+a)^2+b[/tex]
It can be written as
[tex](x^2+2x)-7=(x+a)^2+b[/tex]
Add and subtract square of half of coefficient of x in the parenthesis.
[tex](x^2+2x+(\dfrac{2}{2})^2-(\dfrac{2}{2})^2)-7=(x+a)^2+b[/tex]
[tex](x^2+2x+1^2)-1-7=(x+a)^2+b[/tex]
[tex](x+1)^2-8=(x+a)^2+b[/tex] [tex][\because (x+y)^2=x^2+2xy+y^2][/tex]
[tex](x+1)^2+(-8)=(x+a)^2+b[/tex]
On comparing both sides, we get
[tex]a=1[/tex]
[tex]b=-8[/tex]
Therefore, the value of a is 1 and the value of b is -8.
Ann has to make payments twice a year on her health insurance. If each payment is $2,316, how much money should she budget for health insurance each month? Round to the nearest dollar. A. $579 B. $386 C. $1,158 D. $193
Answers
Answer:
$386
Step-by-step explanation:
If Ann has to pay $2316 twice a year
(every 6 months), then, we calculate
$2316/6 = $386 every month.
Hence, Ann's budget for health
insurance each month is $386.
Hope it helps!