Answers
Answer:
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
Step-by-step explanation:
Consider the figure
We have
[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]
[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]
[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]
Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]
Related Questions
Triangles ABC and EDC are similar.
ACE and BCD are straight lines.
Angle BAC = angle DEC
Angle CBA= angle CDE
AB = = 6 cm, BC = 2.5 cm, CD = 7.5 cm and CE = 10.5 cm.
Answers
Answer:
18cm
Step-by-step explanation:
The ratio is given by: 7.5/2.5=3
DE = 6 × 3 = 18 cm
or
DC/CB = x/AB
7.5/2.5 = x/6
3=x/6
x=6×3=18 cm
Elsa is selling bracelets at craft shows to raise money for an animal shelter.
She is also accepting additional cash donations. She plans to give 75% of the
money from all bracelet sales and donations to the shelter. She will use the
remaining money to buy more supplies. Bracelet sales and donations from
the first craft show are represented by the expression 24n + 32, where n
represents the amount Elsa charges for each bracelet. The second craft
show sales and donations is represented by the expression 40n + 56. If Elsa
charges $4 for each bracelet, how much money will she donate to the
Answers
Answer:
$258
Step-by-step explanation:
75% = 0.75 when we divide by 100 to convert a percentage to a decimal
75% of total sales = money donated
Total sales = sales from first show + sales from second show
= 24n+32 + (40n+56)
= 64n + 88
0.75 of (64n+88) = money donated
= 0.75 * (64n+88)
= 48n + 66
substitute 4 for n, as she charges $4 for each bracelet
money donated = 48*4 + 66 = 258
What is ten times as great as 450?
Answers
Answer: The answer is 4,500.
Explanation: 450 x 10 = 4,500.
Ten times as great as 450 is 4500.
We need to find what is ten times as great as 450.
What is multiplication?When we multiply two numbers, the answer is called product. The number of objects in each group is called multiplicand, and the number of such equal groups is called the multiplier.
Multiplication step:
Multiply the multiplicand by each of the numbers of the multiplier, moving from right to left. The units of the product are written below the line.The tens place of each product is added to the next product.Now, ten times as great as 450=10×450=4500
Therefore, ten times as great as 450 is 4500.
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Solve for equation for x: 5x^2 – 10x – 6 = 0
Answers
Correct me if im wrong po
what is 10+10...........................
Answers
Answer:
that would be 20 lol
Step-by-step explanation:
WORTH 50 POINTS. The graph represents the journey of a bus from the bus stop to different locations:
Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)
Answers
Answer:
3
Step-by-step explanation:
A pair of dice is rolled. Determine the probability of a result with: i. one die showing a 4 and the other a 5?
Answers
Answer:
2/11
Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11
Step-by-step explanation: have a good day
Help help help help math
Answers
Answer:
60
Step-by-step explanation:
To begin solving think of just the pants and the shirts. Each of the 3 pair of pants can be paired with one of the 5 shirts giving you. 5x3=15 combinations
Therefore to apply this type of situation to all 5 shirts 3 pairs of pants and 4 ties
(5)(3)(4)=60
-7f+6=116+3f
help me plss
Answers
Explanation: Know ur algebra lol
subtract 6 from both sides of the equation and simplify and your answer should be f = 55 over 2
Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400
could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone
Answers
Answer:
5 weeks
Step-by-step explanation:
The amount of money he has to earn in order to buy the phone is: 400-55 = 345( dollars)
He gets 345 dollars in: 345÷75= 4 weeks and remains 45 dollars
So he needs to work for 1 more week to have enough money to buy the phone
So he needs to work at least 5 weeks
According to the telegram which of the following description of the data are true
Answers
Answer:ITS THE SECOND ONE
Step-by-step
Simplify:(4x2 - 2x) - (-5x2 - 8x)
Answers
Answer 6x+18
Step-by-step explanation:
Schedule of Cash Payments
Shakti Power Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March
$68,000
April
77,000
May
88,000
Depreciation, insurance, and property taxes represent $5,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in Online file. Open the spreadsheet, perform the required analysis, and input your answers in the question below.m
Answers
dAnswer:
fffff
Step-by-step explanation:ff m
Jon is solving this division problem: 7,846 : 3. In what place should he start dividing?
thousands
hundreds
ones
tens
answer is ones
Answers
The width of a rectangle is 7ft less than the length. The area of the rectangle is 228 square feet. Find the length and width
Answers
Set up figure, side length x, and width x-7. Set equation up
[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]
Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)
The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?
A) h(x) = 3(4)x
B) h(x) = 4(3)x
C) h(x) = 4(1∕3)x
D) h(x) = 3(0.25)x
Answers
Answer:
A
Step-by-step explanation:
An exponential function has the form
y = a[tex](b)^{x}[/tex]
Use the given solutions to find a and b
Using (0, 3 ) , then
3 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so
a = 3
y = 3[tex](b)^{x}[/tex]
Using (1, 12 ) , then
12 = 3[tex]b^{1}[/tex] = 3b ( divide both sides by 3 )
4 = b , then
h(x) = 3[tex](4)^{x}[/tex] → A
A woman walks x km north, then (x+7) km east. She is now 13km from her starting point. Find x.
Answers
what do the widths of the bars in an energy pyramid represent?
Answers
Answer:
it represents and the relative amount of energy in the trophic level.i think sorry if I am wrong
The widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
What is a energy pyramid?It is defined as the graphical representation of the movement of the energy from one living organism to another in the ecosystem.
When we think of one organism eating another, we usually think of a huge, predatory predator at the top of the food chain. While this depicts the ecological relationships between creatures, it does not depict the energy flow throughout the ecosystem.
Every bar's width indicates the units of energy available within each trophic level, while the height remains constant. The flow of energy goes from the bottom up through the layers of the energy pyramid, gradually decreasing as energy is used up by the creatures at each level.
Thus, the widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
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find the rate of change
input 1 2 3 4 5
output 11 13 15 17 19
Answers
Answer:
2
Step-by-step explanation:
x-values in the table increase by 1, while y-values increase by 2. The rate of change is ...
m = slope = rate of change = (change in y)/(change in x) = 2/1 = 2
The rate of change is 2.
Answer:2
Step-by-step explanation:
Can someone help me please
Answers
Answer:
Step-by-step explanation:
(h, k) = (4, 8)
(y - k) = a(x - h)²
(y - 8) = a(x - 4)²
y = a(x - 4)² + 8
plug in one of the x intercepts (or any other known point on the curve)
0 = a(2 - 4)² + 8
0 = a(4) + 8
a = -2
y = -2(x - 4)² + 8 fourth option.
Answer:
y= -(x-4)^2+8
Step-by-step explanation:
negative graph since the turning point is +ve 4..thus the equation will be (x-4)^2 the y axis is 8 units up therefore the above equation is the answer
An office clerk earns $120 for two 4-hour work shifts. How much will she earn
for 15 hours of work?
Answers
Answer:
$225
Step-by-step explanation:
$120 for 2 4-hour shifts, $120 in 8 hours
$15 every 1 hour
Money for 15 hours: 15 x 15 = $225
The office clerk earns $225 for 15 hour of work .
What is unitary method?The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.
According to the question
An office clerk earns $120 for two 4-hour work shifts.
i.e
In 2 * 4-hour work shifts office clerk earns = $120
or
In 8 hour work shifts office clerk earns = $120
Now ,
By using unitary method
In 1 hour work shifts office clerk earns = $[tex]\frac{120}{8}[/tex]
= $15
Therefore, for 15 hours of work shifts office clerk earns = $15 * 15
= $225
Hence, The office clerk earns $225 for 15 hour of work .
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HELLO?? WHY ISNT ANYONE HELPING ME!!?!?!? HELP ME
Answers
Find the value of x
Answers
Answer:
i think r would be the same as q
Step-by-step explanation:
I believe it's an isosceles triangle, if there were a line going down the center, each half should be symmetrical, so q and r are the same angle.
Answer:
32.5
Step-by-step explanation:
A triangle's angles add up to 180 degrees
(2x+15)+x+(x+35)=180
x=32.5
One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.
Answers
7m+9v=$71
5m+3v=$31
multiply the whole of the second equation by three to get:
7m+9v=$71
15m+9v=$31
now subtract the second equation from the first to get: 8m=$40 so a movie costs $5
now substitute the movie back into:
7(5)+9v=$71
35+9v=$71
9v=$36
so a video game costs $4
please help! will mark brainliest.
Answers
Answer:
16
Step-by-step explanation:
Which function does f(-1/2) ≠ -1
Answers
Answer:
anything but 2
Step-by-step explanation:
f(-1/2)
If you plug in 2, you'd get -1. But if you plug in other values, it won't be equal to -1.
help with this please
Answers
Step-by-step explanation:
I cannot do this table nicely here, but it is totally simple : the first number in brackets is the input, the second number the corresponding output.
you can do this easily and faster than in here.
it is not a function, because e.g. the input values -2 and 4 have more than 1 output value assigned (in different offered pairs, sure, but the whole group of ordered pairs defines the relationship).
-2 has 6 and 8
4 has 6 and 15
to be a function, each input value can have only one associated output value.
Aline that includes the point 5. 10) has a siope of 1. What is its equation in siope-intercept
te your answer using integers, proper fractions, and improper fractions in simplest for
Answers
Step-by-step explanation:
a lot of typos in the problem description.
if I understand correctly, the line contains the point (5, 10) and has a slope of 1.
and we need to give the line equation in slope-intercept form.
that means it has to look like
y = ax + b
a is the slope and b is the y-intercept (hence the name of the form).
we know a = 1.
we can use use the point-slope form to start and then transform it into the slope-intercept form.
point-slope means
y - y1 = a(x - x1)
a is again the slope, and (x1, y1) is a point on the line.
so,
y - 10 = 1(x - 5) = x - 5
now we transform it (adding 10 on both sides)
y = x + 5
and that's it.
PLS SOMEONE HELP ME PLS WITH GEOMETRY
Answers
Answer:
They are congruent by SAS
Step-by-step explanation:
MQ=PN
The angles with markings also go together
The line right in the middle is the second side because of the reflexive property
Solve for B.
15B +9C =6
Answers
Answer:b=5
Step-by-step explanation:
The value of B for the given expression is B = (2 - 3C) / 5.
What is an expression?An expression in mathematics is a grouping of one or more numbers, variables, and arithmetic operations (such as addition, subtraction, multiplication, division, and exponentiation) that illustrates a relationship or calculation.
Parentheses, braces, and other grouping symbols that specify the sequence in which operations should be carried out are also permitted in expressions.
To solve for B, we need to isolate B on one side of the equation.
15B + 9C = 6
Subtract 9C from both sides:
15B = 6 - 9C
Divide both sides by 15:
B = (6 - 9C) / 15
Simplifying the right side gives:
B = (2 - 3C) / 5
Therefore, B = (2 - 3C) / 5.
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