Thomas decides to use the method of proportions and similar
triangles to find the height of a lamppost. He measures the length of
the post's shadow and finds it is 5 feet long. Then, he holds a 1-foot
ruler perpendicular to the ground and finds that it casts a 2-inch
shadow. How tall is the lamppost?
a. 2.5 ft c. 30 ft
b. 12 ft d. 60 ft
Answers
Answer:
The lamppost is 30 ft tall.
Step-by-step explanation:
You need to draw a diagram of the problem. Refer to attachment.
Now you need to convert the measurements that are in feet to in. The 1 foot ruler is now 12 in. and the 5 foot post's shadow is now 60 in.
The next step is to create a proportion between both angles. [tex]\frac{x}{1} =\frac{60}{2}[/tex]
x over 1 is simplified to x and 60 divided by 2 is just 30. So the lamppost is 30 ft tall.
Hope that helped. :)
Related Questions
find f(2) for the function below
f(x) =1/8*5^x
Answers
Answer:
f(x)=.625^x
Step-by-step explanation:
Step-by-step explanation:
f(x)=1/8*5^x
f(2)=1/8*5^2
f(2)=1/8*25
f(2)=25/8
The map shows the location of four places in a school.
A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.
Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?
A (4, 5)
B(−4, 5)
C (−4, −5)
D (4, −5)
Answers
Answer:
4,-5 is your answer
Step-by-step explanation:
it is correct
What sound does Michael Jackson make when he starts "Cant stop to you get enough"
Answers
Answer:
¨ Cant stop till you get enough whooooooo¨
Step-by-step explanation:
Im a huge MJ fan
Hoped I helped-
Sleepy~
Answer:
whooooooo¨
Step-by-step explanation:
Heather says that is if a hot air balloon descends 10 feet every 20 minutes, that the integer rate for that decline is 2 feet per minute. What would you say to Heather if you had to correct her work? (Hint: There are 2 errors Heather makes)
Answers
Answer:
Well I am not just going to give it to you
Step-by-step explanation:
So take 10 alright and then for every 20 min just divide by 2 and then figure out if that is correct if it is then find her other mistake ok
Rodrick and Valentina drove to the coast. Rodrick drove 38 9−− 10miles. Then Valentina drove the last 51 3− 5miles. How far did they drive to the coast?
Answers
15 miles?? im in 5th i don't really know this sorry
An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural.
Answers
Answer:
2 1/6
Step-by-step explanation:
12/ 6= 2+(1/ 6)=2 1/6
1/6
Answer: 30
Step-by-step explanation:
What are the domain and range of f(x) = 21?
Answers
The domain and the range of a function, are the set of values the function can take as input and output.
The domain and the range of [tex]\mathbf{f(x) = 21}[/tex] are:[tex]\mathbf{(-\infty,\infty)}[/tex] and 21, respectively.
The function is given as:
[tex]\mathbf{f(x) = 21}[/tex]
There is no restriction as to the value of x.
So, the domain is:
[tex]\mathbf{Domain = (-\infty,\infty)}[/tex]
Irrespective of what the value of x is, the value of y will remain 21.
So, the range is;
[tex]\mathbf{Range = 21}[/tex]
Hence, the domain and the range of [tex]\mathbf{f(x) = 21}[/tex] are:[tex]\mathbf{(-\infty,\infty)}[/tex] and 21, respectively.
Read more about domain and range at:
https://brainly.com/question/21853810
The table shows the approximate height of a football after it is kicked. Tell whether the rates of change for successive time intervals are constant or variable
Answers
Answer: 36, 13, -10
The rates of change are variable.
Step-by-step explanation:
The rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.
What is a variable and a constant?A variable is a quantity that changes in its value, but a constant remains fixed.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For this case, we get the rates as:
For rate between first two values,
[tex]Rate_1 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{17-0}{0.5-0} = 34[/tex]
For rate between second two values,
[tex]Rate_2 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{30-17}{1.5-0.5} = 13[/tex]
For rate between third two values,
[tex]Rate_3 = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{25-30}{2-1.5} = -10[/tex]
We see that the rate of change of height of the football considered with respect to time is changing, so its a variable.
Thus, the rates of changes of the heights of a football after it is kicked with respect to the time for this case are 34, 12 and -10 . The rates of changes are variable.
Learn more about rate of change here:
https://brainly.com/question/15125607
#SPJ2
PLEASE HELP ME THANKS IF YOU DO I WILL MAKE THIS 100 POINTS
Answers
Answer:
I think it is 5
Step-by-step explanation:
first you add all of the data shown and then divide by 8
Is this table showing a proportional relationship?
Answers
Answer: Yes, it’s because 7x=y. :D
Step-by-step explanation:
I need help please it's a math question
Answers
Answer:
-5/6 (negative five divided by six. the fifth option)
Step-by-step explanation:
The numerator is the first number. The denominator is the second number. Sign has to be the same and only one negative to make the fraction negative.
Mauricio bought 6.75 yards of fabric for a total of $47.50
About how much was the cost per yard? Explain why your
answer is reasonable. ( brainliest included for correct answer)
Answers
Answer:
$7.04
Step-by-step explanation:
47.50/6.75 which is about $7.04
My answer is reasonable because 47.50 is close to 49 and 6.75 is close to 7 and 49/7 is 7, which is about 7.04.
Hope this helps :D
Answer:
About $7.04 / yard.
Step-by-step explanation:
We divide the total cost by the length of fabric.
Cost per yard = 47.50 / 6.75
= 7.037
= $7.04 to the nearest cent.
This is reasonable because 6.75 yards is close to 7 yards and 7 * $7 = $49.
Hello there, can someone help me with this question? Thanks!
Answers
Answer: option 1, I would say.
Hope I help, Xd.
Answer:the answer is D i do my best to help and if it did say thanks and if you need anymore questions you need annswered feel free to ask me and if it did help plz rate me brainest ok hope you have a good night
Step-by-step explanation:
David moved from a house that is 89 miles away from his workplace to a house that is 51 miles away from his workplace. What is the percent decrease in the distance from his home to his workplace? (round answer to the nearest whole number
Answers
Mark talked on his cell phone 3 hours over the weekend. Genaro talked on his phone 1 9−− 10hours. How much longer did Mark talk on his phone than Genaro?
Answers
Answer:
7 hours
Step-by-step explanation:
10-3=7
Answer:
1 1/10 hours more
Step-by-step explanation:
3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours more •✧•
Dance party
.............................................
Answers
In a hand of playing cards, what is the probability that all five are of the same suit?
Answers
Answer:
How many five-card hands dealt from a standard deck of 52 playing cards are all of the same suit? If a random hand is dealt, what is the probability that it will have this property?
Would the probability be:
(135)∗(41)(525)
Answer:
0.1965%
Explanation:
Because 13/52 are the same suit, we find the probability of 5 cards of the same suit (without replacemennt).
13/52=0.25
12/51=0.235
11/50=0.22
10/49=0.204
9/48=0.188
*multiply sums*
=0.0004957
*multiply by 4 since there are 4 different suits*
=0.001965x100=~0.1965%
two separate questions
3(5x) - 6x = 27
3(2x) + 8(-4x) = 57 + 47
Answers
2nd question: x = -4
HELPPPP look at image
Answers
Answer:
300 gallons this was to easy
HELP NOW PLS
Is the graph shown below that of a function?
Answers
Answer:
Yes
Step-by-step explanation:
because it is a piecewise function which is a function
Answer:
I am on a similar unit and I believe no, this is not a function
question: Simplify the following Inequality:
r − 12/−9 > −2
A.
r -30
Answers
Answer:
A
Step-by-step explanation:
r-30
HELPP!! BRAINLIEST??
Answers
Answer:
answer number 4 I believe
Answer:
Its... x > 17
Step-by-step explanation:
1. Since the arrow is pointing to the left of the graph it means greater than.
2. The circle is also not filled in so it does not mean greater than or equal to.
3. The circle is open so that means it is JUST greater than.
Answer: x > 17
10^-2 + 8 round the coefficient to two decimal places
Answers
Answer:
I believe it is .0801
Step-by-step explanation:
- A negative exponent will always turn into a fraction
- First change it to a fraction
1/10^2
- Simplify the exponent
10 times 10 = 100
- Change the fraction
1/100 or in decimal form which is 0.01
- Now the addition
8 + 0.01 = 8.01
- Move decimal to two decimal places
.0801
Answer: .0801 is what I got because the way I understand it 10^(-2) + 8 =8.01 and you said round it to the coefficient to 2 decimal places. so I moves the 8 over 2 times because 8 is the coefficient and I got .0801
Hope it helped and I got it right
Step-by-step explanation:
HELLP WILL MARK BRAINLIEST!!!
Answers
Answer:
Step-by-step explanation:
First add then multiply x
Answer:
X = 10
Step-by-step explanation:
1. The first step is to Subtract 6.1 on both side
1.4x + 6.1 = -7.9
-6.1 -6.1
2. The second step is to divide 1.4 on both side.
1.4x = 14
/1.4 /1.4
The solution is x = 10
Answer Both HELPPPP pls look at image
Answers
Answer:
FOR NUMBER 10 and 11
Step-by-step explanation:
$1.00= 2 minutes
$10.00= 20 minutes
$1.50= 3 minutes
$2.50= 5 minutes <3 can you give me a brainliest x
Shaundra may have decided to pick shop and go as 1 bottle from Super buy is $0.33 but 1 bottle from Shop and Go is $0.21 , this is a good choice as she i saving money.
there are 60 students in PE. 60% of them is male what is the number of male students?
Answers
Answer:
36 male students 24 female
Step-by-step explanation:
Answer:
24 is the answer
Step-by-step explanation:
The table shows the number of people waiting in line for different rides at an amusement park.What is the ratio of people waiting in line for the Round-up to people waiting in line for the Slingshot?
Roller coaster 15
Slingshot 4
Bumper cars 12
Round-up 11
Answers
Answer:
11:4
Step-by-step explanation:
for every 11 people at round up there is 4 people at slingshot
Answer:
A ratio is like this #:# but without the hashtags. lol SO, yes, it would be 11:4
Step-by-step explanation:
Evan's science class placed some metal balls on a scale. They used a red ball that weighed 5/13 of a pound, a yellow ball that weighed 10/17 of a pound, a green ball that weighed 5/13 of a pound, a blue ball that weighed 4/13 of a pound, and a gray ball that weighed 6/17 of a pound. What was the total weight of the metal balls?
Answers
Answer:
2 4/221 = 2.018
Step-by-step explanation:
5/13+10/17+5/13+4/13+6/17 = 2 4/221 = 2.018
What is the next number in this sequence? 3, 7, 11, 15….
17
21
19
22
Answers
Answer:
19
Step-by-step explanation:
Please give brainliest.
Answer: 19
Step-by-step explanation:
hope this works
HELPPPP look at image
Answers
Answer:
five:two:one:three:
Step-by-step explanation: