Answer:
It is a structured, orderly process for conducting a research study.
Step-by-step explanation:
The main steps of the scientific method are:
1) make an observation describing the problem
2) creating and then testing a hypothesis
3) drawing conclusions and refine the hypothesis.
The scientific method is a standard way of making observations and gathering data, forming theories based on the data, finally testing and interpreting results.
So, the answer here is option A. It is a structured, orderly process for conducting a research study.
PLEASE HELP 25 POINTS!
Answer:
The common ratio r = 2.
Step-by-step explanation:
Now s2 = a1r and s4 = a1r^3 where a1 = first term and r = common ratio so
s4 / s2 = a1r^3 / a1r = r^2 = 32/8
r^2 = 4
r = 2.
Hey!
--------------------------------------------------
Answer:
r = 2
--------------------------------------------------
Solution:
So we know that s2 = 8 and s4 = 32.
We need to find s1!
32 / 8 = 4
8 / 4 = 2 (ratio is 2)
8 / 2 = 4
32 / 2 = 16
s1 = 4
s3 = 16
Each number is multiplied by 2.
--------------------------------------------------
Hope This Helped! Good Luck!
Can someone please help me with this problem? Thank you.
Answer:
HOPE IT HELPS YOU
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If this is calculus AP the answer will be right
=73
you add both angles 56 and 51 then you compare it with the high of the rectangle 7.9 ft to get the answer.
PLEASE HELP ASAP 98 POINTS, WILL GIVE BRAINLIEST, 5 STAR RATING, AND THANKS.
ONLY TO THE CORRECT ANSWERER!
See the attached picture:
Answer:
if you put the trigangle diagnal then do a box the a square
hope that helps
if not tell me I will change the answer with the right answers
Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a child ticket. Julie's family spends $35.75. How much is the cost of a child ticket?
Answer:
$5.75
Step-by-step explanation:
First we will make an equation. We will put child tickets as x, and adult tickets as x+3.50. =
2x+7+3x=35.75=
5x=28.75
x=5.75
Given that the average rate of change for y = f(x) over the interval [0,3] is −1, the average rate of change over the interval [2,3] is 5, and the average rate of change over the interval [2,6] is 3, determine the average rate of change over the interval [0,6].
The average rate of change over the interval [0,6] is approximately 1.1666666666666667.
Explanation:As a maths teacher, my aim is to make you understand the concept and how to solve this problem. Let's start by understanding the given information.
We know that the average rate of change, \(m\), of \(f(x)\) over an interval \([a, b]\) is given by:
\(m = \frac{f(b) - f(a)}{b - a}\)
We have been given that:
1) The average rate of change over the interval [0,3] is -1,
2) The average rate of change over the interval [2,3] is 5,
3) The average rate of change over the interval [2,6] is 3.
So we can set up the following system of equations from these:
We have:
\(f(3) - f(0) = -1 * 3 = -3\) (from 1)
\(f(3) - f(2) = 5 * 1 = 5\) (from 2)
\(f(6) - f(2) = 3 * 4 = 12\) (from 3)
From the second equation we can express \(f(3) = 5 + f(2)\).
Then, by substituting this into the first equation we get \(f(2) = -3 - 5 = -8\).
Now we substitute \(f(2) = -8\) into the third equation we get \(f(6) = 12 + f(2) = 12 - 8 = 4\).
And finally, using these we can find the average rate of change over the interval [0,6] is \((f(6) - f(0))/6 = (4 - (-3))/6\), we subtract \(f(3)\) from both sides and we get that \(f(0)\) is equal to \(f(3) - 3\).
This gives us that the average rate of change over the interval [0,6] is approximately 1.1666666666666667.
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15 strips, 1 1/4" wide are to be ripped from a sheet of plywood. If 1/8" is lost with each cut, how much of the plywood sheet is used to make the 15 strips
The plywood needed for 15 strips is 20.5 inches.
Given to usNumber of strips needed = 15width of the strip = [tex]\rm 1\dfrac{1}{4}\ inches[/tex]Lost of the plywood to cut a strip = [tex]\rm{ \dfrac{1}{8}\ inches[/tex]width of the strip[tex]\rm 1\dfrac{1}{4}\ inches = \dfrac{(4 \times 1) +1 }{4} =\dfrac{5}{4}\ inches[/tex]
Number of cutsAs to cut 15 strips of plywood a total of 14 cuts will be needed.
therefore, the waste of plywood in these 14 strips will be
= Lost in each cut x Number of cuts
[tex]=\dfrac{1}{8}\times 14\\\\=\dfrac{14}{8}\\\\ = \dfrac{7}{4} inches[/tex]
Total plywood needed for all stripsTotal plywood needed for all single strip
= width of the strip x number of strips
[tex]=\dfrac{5}{4} \times 15\\\\ =\dfrac{75}{4}\\\\[/tex]
Plywood neededPlywood needed
= Total plywood needed for all strip + Total waste of plywood
[tex]=\dfrac{7}{4}+\dfrac{75}{4}\\\\=\dfrac{82}{4}\\\\=20.5\ \rm inches[/tex]
Hence, the plywood needed for 15 strips is 20.5 inches.
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George picked flowers every day for three days. On the first day George picked 2 flowers. On the second day George picked 6 flowers, and on the third day he picked 10. A function can model George's sequence. What is the slope of that function? A) 2 B) 3 C) 4 D) 5
Answer:
The answer to your question is: 4
Step-by-step explanation:
first day second day third day
2 6 10
represent them considering number two
2 2 + 4 2 + 8
Here, we can notice that the increase
from day 1 to day 2 was 4 and the
increase from day 2 to three was also 4
then the slope will be 4.
Let p and q be the propositions p: You drive over 65 miles per hour. q: You get a speeding ticket. Identify the expression that represents the proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket." using p and q and logical connectives (including negations).
Answer:
- p ⇒ - q
Step-by-step explanation:
p : Drive over 65 miles
q : You get a speeding ticket.
So then we get the negations.
- p : You do not drive over 65 miles
- q : You don't get a speeding ticket.
So, we need to connect the sentences. For that we use ⇒.
⇒ : then.
So, the sentence, If you do not drive over 65 miles per hour, then you will not get a speeding ticket
Can be written as : -p ⇒ -q
The expression representing the proposition using the variables p and q is ¬p → ¬q, which follows the logical rule of Modus Tollens.
Explanation:The proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket" can be represented using the variables p for "You drive over 65 miles per hour" and q for "You get a speeding ticket". The logical expression for the given proposition, using logical connectives and negations, is ¬p → ¬q, which means "not p implies not q".
This is an example of the logical rule known as Modus Tollens, which can be expressed as ((p→q) ∧ ¬q) → ¬p. If the implication p→q is true, and the consequent q is false (¬q), then it must follow that the antecedent p is also false (¬p).
Match the graph of the function with the function rule.
A) y = 1 • 4x
B) y = 3 • 10x
C) y = 2 • 4x
D) y = 10 • 4x
Answer:
D) [tex]y = 10 * 4^{x}[/tex]
Step-by-step explanation:
Replace each function with x = 0
A) [tex]y = 1*4^{x} \\y = 1*4^{0} \\y = 1[/tex]
B) [tex]y = 3*10^{x} \\y= 3* 10^{0} \\y = 3 \\[/tex]
C) [tex]y = 2*4^{x} \\y = 2*4^{0} \\y = 2[/tex]
D) [tex]y = 10*4^{x} \\y= 10*4^{0} \\y = 10[/tex]
If you check the graph with x = 0, the value of y is between 8 and 12 so the only probably answer acoording to the alternatives is D) which gives y = 10 when x = 0
In the Pick 4game, you win a straight bet by selecting fourdigits (with repetition allowed), each one from 0 to 9, and getting the same fourdigits in the exact order they are later drawn. What is the probability of winning this game?
Answer:
Probability of winning the game: 1/10000
Step-by-step explanation:
The nominator in the only outcome possible for you to win the bet. So that would be your only selected fourdigit number.
The denominator is the total possibles outcomes. If the first posible number is 0000 and the last number is 9999. There are a total of 10000 possible outcomes that the selected number is drawn.
The general rule is [tex]\frac{p}{q}[/tex]
Where p are the draws where i win.
And q is the total population of possible numbers.
simplify
(6) - sqrt(25)/4
The answer is 0.25
Use a calculator to estimate the value. Round to the nearest hundredth.
(-2) - sqrt(15)/2
The answer is -2.94
Simplify with negative radicands in terms of i:
x= (5) + sqrt(-49)/6
The answer is 5/6 + 7/6i
Just wanted to help out :)
Answer:
correct 0.25
Step-by-step explanation:
The questions relate to solving mathematical expressions involving radicals and imaginary numbers. Errors in the original expressions were corrected for accurate solutions. For example, the corrected calculation (6) - sqrt(25)/4 results in 4.75. x= (5) + sqrt(-49)/6 simplifies to 5 + 7/6i.
Explanation:This question pertains to the field of Mathematics, specifically the area dealing with radicals and complex numbers. The original queries from the student need a bit of clarification since in a few cases the operations mentioned are mathematically invalid. For instance, in the question
(6) - sqrt(25)/4
, we are subtracting a square root from a number without any operator between them. Assuming we need to subtract the result of sqrt(25) divided by 4 from 6, we simplify sqrt(25) to 5 because the square root of 25 is 5. We then divide this by 4 to get 1.25. Subtracting 1.25 from 6 answers the first question as 4.75 Similarly, for the problem
x= (5) + sqrt(-49)/6
dealing with negative radicands, we know that the square root of a negative number results in an imaginary number. The sqrt(-49) simplifies to 7i (because the square root of 49 is 7 and the negative sign makes it imaginary). We then divide this by 6 to get 7/6i. Adding it to 5 we obtained the answer
5 + 7/6i
.
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Find the break-even point for the given cost and revenue equations. Round to the nearest whole unit.
C = 15n + 269,000
R = 95n
Answer:
[tex]n=3,587\ units[/tex]
Step-by-step explanation:
we know that
The term Break even is when the Revenue is equal to the Cost (the profit is equal to zero)
so
we have
[tex]C=15n+269,000[/tex]
[tex]R=95n[/tex]
Equate the equations
[tex]95n=15n+269,000[/tex]
Solve for n
[tex]95n-15n=269,000[/tex]
[tex]75n=269,000[/tex]
[tex]n=3,587\ units[/tex]
Answer:
It’s C, 3363
Step-by-step explanation:
What is the solution to the equation 133/4+x=71/4
the answer is: b
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Mary has a third of the money that Erin has. Erin has $8 less than John. Together they have $267. How much money does each of them have?
Mary has $37, Erin has $111, and John has $119 and together they have $267 .
1. Mary has a third of the money that Erin has. Let's represent the amount of money Mary has as "m" and the amount Erin has as "e."
Based on the information given, we can write the equation:
m = (1/3)e
2. Erin has $8 less than John. Let's represent the amount Erin has as "e" and the amount John has as "j."
Based on the information given, we can write the equation:
e = j - 8
3. Together they have $267. This means the total amount of money they have is the sum of what Mary, Erin, and John have:
m + e + j = 267
Now, let's substitute the values we know into the equations to solve for the unknowns.
From equation 1, we have m = (1/3)e. Substituting this into equation 3, we get:
(1/3)e + e + j = 267
To simplify the equation, let's multiply all terms by 3 to eliminate the fraction:
e + 3e + 3j = 801
4e + 3j = 801
From equation 2, we have e = j - 8. Substituting this into the above equation, we get:
4(j - 8) + 3j = 801
Simplify and solve for j:
4j - 32 + 3j = 801
7j - 32 = 801
7j = 801 + 32
7j = 833
j = 833 / 7
j = 119
Now that we know the value of j (which represents the amount John has), we can substitute it back into equation 2 to find the value of e (the amount Erin has):
e = j - 8
e = 119 - 8
e = 111
Finally, we can substitute the values of e and j into equation 1 to find the value of m (the amount Mary has):
m = (1/3)e
m = (1/3)111
m = 37
So, Mary has $37, Erin has $111, and John has $119.
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On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
A. 0.027
B. 0.090
C. 0.417
D. 0.657
E. 0.900
Answer: The answer is d.
Step-by-step explanation: Ok, so, we know that we have 3 radio stations, each one has a 30% chance of broadcasting a song that leo likes.
Lets see the cases:
Station A has a probability of 0.30 to broadcast a song, but let's suppose that it doesn't, then we go to station B, who has te same probability, 0.30, but for this to happen, we first must have the 0.70 prob of A to broadcasting another song, so here we have a probability of (0.30)*(0.70).
Now with a similar way of thinking, if Station B also fails, we will have a probability of 0.70*0.70*0.30 for Station C succes.
Also, there is the case were station A broadcast the nice song, which we already know that is with probability of 30%.
So, the total probability will be the sum of the 3 cases: 0.30 + 0.30*0.70 + 0.30*0.70*0.70 = 0.657.
IF A SUBSCRIPTION IS $499 PLUS 8% TAX FOR 30 DAYS, BUT IS BEING PRORATED FOR 7 DAYS, PLUS THERE IS A $10 OFF COUPON, WHAT'S THE FINAL COST?
Answer:
$528.12
Step-by-step explanation:
499-10
489×1.08= 528.12
Answer:
The final cost is $115.74.
Step-by-step explanation:
Total amount of 30 days with tax = [tex]499+(0.08\times499)[/tex] = 538.92 dollars
This value is for 30 days, and its prorated for 7 days, so value for 7 days is =
[tex]\frac{538.92}{30}\times7[/tex] = 125.74 dollars
And $10 is off, so final cost is [tex]125.74-10=115.74[/tex] dollars
(Suppose the discount coupon is applied at the end of billing)
The final cost is $115.74.
You received a discount on each book you buy . The original price of each book is x dollars You buy 5 books for a total of (5x - 15 dollars factor the expression using GCF
Answer:
5(x -3)
Step-by-step explanation:
The GCF of 5 and 15 is 5, since 5 is a factor of 15. Factoring that out gives ...
5x -15 = 5(x -3)
The area of a certain rectangle is 288 yd2. The perimeter is 68 yd. What are the dimensions of the rectangle?
A) 24 yd by 10 yd
B) 18 yd by 16 yd
C) 22 yd by 12 yd
D) 36 yd by 8 yd
Please show work-THX
Answer:
The rectangle is 16*18
Step-by-step explanation:
The area of a rectangle is length * width and the perimeter is 2 times length * width
A = l*w
P = 2(l+w)
Replacing A and P
288 = l*w
68 = 2(l+w) => 34 = l+w => 34 - w = l
replacing l in the area
288 = (34 - w) w
w^2 - 34w + 288 = 0
(w - 16)(w - 18)
w = 16
w = 18
replacing in 34 - w = l
you get that when w = 16, l = 18 and when w = 18, l = 16
Assume the readings on thermometers are normally distributed with a mean of 0degreesC and a standard deviation of 1.00degreesC. Find the probability that a randomly selected thermometer reads between negative 0.12 and 1.02
Answer:
0.2983
Step-by-step explanation:
Let X be the reading on thermometer. Given that X is N(0,1)
We are to find the probability that a randomly selected thermometer reads between negative 0.12 and 1.02
Reqd probability = [tex]P(0.12<x<1.12)[/tex].
Since this x is already normal std variable x=z
i.e. reqd prob = [tex]P(0.12<z<1.02) =0.3461 -0.0478\\=0.2983[/tex]
Hence answer is 0.2983
Please help me out!!!!!!!!!!!!!!!!
Answer:
y = 0.5x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 1, y = 0.5, then
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5, hence
y = 0.5x ← equation of variation
The perimeter of a rectangle is 66 inches. If the length is 3 less than five times the width, find the length and width.
Answer:
length: 27 incheswidth: 6 inchesStep-by-step explanation:
Let w represent the width of the rectangle. The perimeter is twice the sum of length and width so is ...
P = 2(L + w) . . . . . . equation for perimeter
66 = 2((5w-3) +w) . . . substitute the given values
33 = 6w -3 . . . . . . . divide by 2 and collect terms
36 = 6w . . . . . . . . . add 3
6 = w . . . . . . . . . . . .divide by 6
L = 33-6 = 27
The length is 27 inches; the width is 6 inches.
The florist selects from these flowers to make arrangements for the upcoming flower show. Use the drop-down menus to complete the statements.
The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is ______.
The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is ______.
The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is 6
.
The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is
12
ANSWER:
-6
-12
STEP-BY-STEP EXPLANATION:
The greatest number of identical arrangements that can be made using only the carnations and asters with no flowers left over is 6
The greatest number of identical arrangements that can be made using only the lilies and daffodils with no flowers left over is 12
Brenda assumed that if the bank was willing to give her a loan, she could afford to make the monthly payments. This is an example of _____.
a misconception
a long-term goal
being financially irresponsible
being financially responsible
Answer:
being financially responsible
Step-by-step explanation:
Answer:
a misconception
Step-by-step explanation:
I think it's a misconception because she just assumed, which means she dousn't really know.
Suppose there are signs on the doors to two rooms. The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"; and the sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger." Suppose that you know that one of these signs is true and the other is false. Behind which door is the lady?
Answer:
The lady is on the second door
Step-by-step explanation:
we have that
The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"
The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."
so
The sign on the second door is true
The sign on the first door is true or false
Since one of these signs is true and the other is false, the sign in the first door must be false
therefore
The lady is on the second door
If the first sign is true, the lady is behind the first door, if the second sign is true, the lady is behind the second door.
Explanation:Let's consider the first sign first. If the sign on the first door is true, then there must be a lady in that room and a tiger in the other room. This means that the sign on the second door is false, and there is no lady in the second room. Therefore, the lady must be behind the first door. If the sign on the first door is false, then the lady cannot be in the first room. This means that the second sign is true, and there must be a lady in the second room. So, the lady is behind the second door.
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Given the speeds of each runner below, determine who runs the fastest. Stephanie runs 10 feet per second. Stephanie runs 10 feet per second. Liz runs 420 feet in 46 seconds. Liz runs 420 feet in 46 seconds. Adam runs 1 mile in 427 seconds. Adam runs 1 mile in 427 seconds. Emily runs 667 feet in 1 minute. Emily runs 667 feet in 1 minute. Stephanie Stephanie Liz Liz Adam Adam Emily Emily Submit Answer
9514 1404 393
Answer:
Adam
Step-by-step explanation:
It is pretty easy to make comparisons to 10 ft/s.
If Liz ran 10 ft/s, she would run 460 ft in 46 s. Since she runs 420 ft, she runs slower than that.
If Emily ran 10 ft/s, she would run 600 ft in 1 minute, so Emily runs faster than that.
If Adam ran 10 ft/s, he would only run 4270 ft in 427 seconds. Since he runs 5280 ft in that time, his speed is definitely greater than 10 ft/s.
__
At this point, we know that Adam and Emily run faster than Liz and Stephanie. So we need to compare Adam and Emily's rates.
Adam's time for 1 mile is about 7 minutes. If Emily ran for 7 minutes, her distance would be less than 7×700 ft = 4900 ft, substantially less than 1 mile (5280 ft).
Adam runs the fastest.
_____
Comment on straightforward solution
Each rate can be computed by dividing distance by time:
Liz: (420 ft)/(46 s) = 9.13 ft/s
Adam: (5280 ft)/(427 s) = 12.37 ft/s
Emily: (667 ft)/60 s) = 11.12 ft/s
Adam's is the highest, well above Stephanie's 10 ft/s.
These calculations require a calculator. The solution above was done without a calculator.
Final answer:
To determine the fastest runner, we calculated each runner's speed in feet per second. Adam was found to be the fastest with a speed of 12.37 feet per second.
Explanation:
To find out who the fastest runner is, we need to calculate the speed of each runner in feet per second and then compare. Stephanie's speed is already given as 10 feet per second. Next, we calculate Liz's speed by dividing the distance she runs by the time it takes her: 420 feet / 46 seconds = 9.13 feet per second. Now, we convert Adam's mile into feet, knowing that 1 mile = 5280 feet. Adam's speed is 5280 feet / 427 seconds = 12.37 feet per second. Lastly, we need to convert Emily's time into seconds since she runs for 1 minute (which is 60 seconds). So, Emily's speed is 667 feet / 60 seconds = 11.12 feet per second. Comparing all speeds, Adam runs the fastest at 12.37 feet per second.
Outside a home, there is a 10- key pad with letters A, B,C,D,E,F,G,H,I and J that can be used to open a garage door if the correct ten letter code s entered each key can only be used once. How many codes are there?
There are 3,628,800 possible codes that can be entered into the 10-letter keypad.
Explanation:Mathematics - Middle SchoolThe number of codes that can be formed using the 10-letter keypad is calculated using the concept of permutations. Since each key can only be used once, we need to find the number of ways we can arrange 10 letters without repetition. This can be calculated as:
P(10, 10) = 10!
Therefore, there are 3,628,800 possible codes that can be entered into the keypad.
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The number of possible ten-letter codes using the keys labeled A to J, are 3,628,800 possible codes.
The number of different codes can be found by calculating the permutations of 10 unique keys, or 10!.
The factorial of a number n (written as n!) is the product of all positive integers from 1 to n.
So, the calculation for 10 keys is:
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1Computing this gives:
10! = 3,628,800Therefore, there are 3,628,800 possible codes for opening the garage door.
A professor is interested in the average length of books in her library. She has divided her books into a few different categories: 235 books on mathematics, 290 books on sports, and 166 books on interior design. Rather than examining all the books, she plans to use a stratified sample of 50 books. How many of the sports books should she choose?
Answer:I would rather be playing Minecraft
Step-by-step explanation:
I like Minecraft
Answer:
21 books approximately.Step-by-step explanation:
First of all we need to find the proportion of the sample. To do that, we sum all the books and then divide by the sample we need, which is 50
[tex]\frac{50}{235+290+166} =\frac{50}{691}[/tex], because we need 50 books among 691 total.
Now, with this ratio, which is the same for all sample we would make here, we find the stratified sample of books, specifically, for sports books which are 290.
[tex]s=290 \times \frac{50}{691}\\ s \approx 21[/tex]
Thefore, she should take 21 sports books.
Remember that stratified sampling refers to a type of sampling method where the population is divided into separate groups, which in this case represented the type of books. Then, we use a "probability" sample, or a proportion of the sample to apply it.
State how many imaginary and real zeros the function has.
f(x) = x4 - 15x2 - 16
4 imaginary; 0 real
3 imaginary; 1 real
2 imaginary; 2 real
0 imaginary; 4 real
Answer:
2 imaginary; 2 real
Step-by-step explanation:
You can factor it as ...
f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares
= (x -4)(x +4)(x^2 +1)
The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.
Which expression is equivalent to -6 (-2/3 + 2x)
-4 - 12x
-4 + 2x
4 - 12x
4 + 12x
Answer:
c. 4 - 12x.
Step-by-step explanation:
-6(-2/3 + 2x)
Using the distributive law:
= -6*-2/3 - 6*2x
= 12/3 - 12x
= 4 - 12x.
Answer:
4-12x
Step-by-step explanation:
multiply each term by -6
-6 × (2/3)
reduce the numbers with the greatest common divisor 3
A tree that is 40 feet tall casts a 30-foot shadow. At the same time, another tree casts a 20-foot shadow. How tall is the second tree?
Answer:
Height of second tree = 26.67 foot
Step-by-step explanation:
A tree that is 40 feet tall casts a 30-foot shadow
Height of tree = 40 feet
Height of shadow of tree = 30 feet
[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=\frac{40}{30}=1.333[/tex]
So ratio of original height to shadow height is 1.333.
Now we need to find how tall is the another tree, if its shadow is 20 feet.
[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=1.333\\\\\frac{\texttt{Height of tree}}{20}=1.333\\\\\texttt{Height of tree}=1.333\times 20=26.67foot[/tex]
Height of second tree = 26.67 foot