a 12 foot tall building casts on 8 foot long long shadow. how long of a shadow will a 5 foot tall women have
Using the concept of similar triangles and the given ratio of a building's height to its shadow, it was calculated that a 5-foot tall woman would cast a shadow that is approximately 3.33 feet long.
Explanation:The question deals with similar triangles where the ratio of the height of an object to the length of its shadow is constant if the sun's rays are considered to be parallel. Given that a 12-foot tall building casts an 8-foot long shadow, we can use this ratio to determine the length of the shadow that a 5-foot tall woman will cast.
First, find the ratio of the building's height to its shadow's length:
Height of the building / Length of shadow = 12 feet / 8 feet = 1.5Since the ratio should remain the same, we can set up a proportion for the woman:
Height of the woman / Length of her shadow = 5 feet / x (the unknown length of the shadow)Now solve for 'x' using cross multiplication:
12 / 8 = 5 / x12*x = 5*8x = (5*8) / 12x = 40 / 12x = 3.33 feet (approximately)Therefore, the shadow cast by the 5-foot tall woman will be approximately 3.33 feet long.
Round to the nearest ten thousand: 68,231
A. 69,000
B. 70,000
C. 68,000
D. 60,000
Which of the following best describes the expression 5(x + 2)?
The sum of constant factors 5 and x + 2
The product of constant factors 5 and x + 2
The sum of a constant factor 5 and a 2-term factor x + 2
The product of a constant factor 5 and a 2-term factor x + 2
Answer:
5 is a constant. (it has no variables)
x + 2 is not a constant. It does, however, have two terms, x and 2.
(terms are seperated by addition/subtraction)
This rules out a and b.
As for c... 5(x+2) implies multiplication, which would be a product, not a sum.
d. The product of a constant factor 5 and a 2-term factor x+2
Step-by-step explanation:
Plz help with this! Thx for the help
help with this one plzzz?
Figure ABCD is a parallelogram. which of the following must be true.
In a parallelogram opposite sides are parallel to each other.
So side AD is parallel to side BC
From the above four options as we can see in option C we have AD║ BC.
Option C is the correct answer.
What is the area of the frame in square units around the picture?
Find an angle at home. Measure the angle. Record the measure. Classify the angle.
Answer:
a table leg it is 90 degreges from the floor it is a right angle.
Step-by-step explanation:
Which number is IRRATIONAL? A) 64 B)81 C) 96 D) 144
HELP ASAP PLEASEEEE WILL GIVE BRAINLIEST!
How do you find the value for x in the problem?
A pool pump fills 1/6 of the pool in 1/3 hour. How much of the pool is filled in one hour
Marlene's taxable income is $95,000. Use this tax schedule to calculate the total amount she owes in taxes. $12,888.75
ANSWER ASAP WILL GIVE BRAINLIEST Boris solves the system of equations using the linear combination method.
3x+4y=−87x−3y=6
Which steps would allow him to eliminate the y terms in the system of equations?
Multiply 3x+4y=−8 by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.
Multiply 3x+4y=−8 by 7. Multiply 7x−3y=6 by −3 . Add the resulting equations together.
Multiply 3x+4y=−8 by 4. Multiply 7x−3y=6 by 3. Add the resulting equations together.
Multiply 3x+4y=−8 by −3 . Multiply 7x−3y=6 by 7. Add the resulting equations together.
Answer:
a is the answer
Step-by-step explanation:
i did the test
A circle has a diameter of 20 inches. Find the exact area and find the approximate area using π 3.14
Cost for bowling at Blue Oaks bowling alley are $2.50 for shoes and $4.25 for each game bowled. Austin bowled 5 games. what was his total cost to bowl?
SOLVE FOR X AND PLEASE SHOW WORK!!!!
The relation {(-1, 4), (2, 7), (3, 7)} is a function. True False
Answer:
True
Step-by-step explanation:
I did the quiz and got 100%
a cylindrical container can hold about 1,256 cubic inches of water.the diameter of the cylinder is 10 inches long.approximate the height of the cylinder to the nearest inch.use 3.14 to approximate the value for pi
A.16
B.80
C.40
D.4
Answer: A. 16 inches
Step-by-step explanation:
The volume of the cylinder is given by :-
[tex]\text{Volume}=\pi r^2h[/tex]
Given: Diameter of cylinder = 10 inches
Thus, radius of cylinder = [tex]\frac{10}{2}=5\ inches[/tex]
Let h be the height of the cylindrical container.
Then , The volume of the cylindrical container is given by :-
[tex]1256=\pi (5)^2h\\\\\Rightarrow\ h=\frac{1256}{5^2\pi}\\\\\Rightarrow\ h=\frac{1256}{25\times3.14}\\\\\Rightarrow\ h=16}[/tex]
Hence, the height of the cylindrical container = 16 inches.
Answer:
16 in.
Step-by-step explanation:
50 POINTS AND BRAINLIEST! :) :) :)
Write an equation that you can use to solve for x.
Enter your answer in the box.
Express this equation in logarithmic form.
23 = 8
Alvin’s age is two times Elgas age. The sum of their ages is 18. What is Elgas age?
Kylie is on a swing the swing moves back and forth every 5 seconds. About how many minutes would it take Kylie to go back and forth one hundred times? Can you help me figure the minutes out in a fraction?
The fraction of the total time in minutes is therefore 8 1/3 minutes, which is equal to 25/3 minutes when expressed as an improper fraction.
To determine the amount of time it would take for Kylie to swing back and forth 100 times, we must first understand that the period of the swing, the time it takes to complete one full cycle back and forth, is 5 seconds. Therefore, we can calculate the total time for 100 swings by multiplying the period by the number of swings:
Total time (seconds) = Period (seconds per swing) * Number of swings
Total time (seconds) = 5 seconds/swing * 100 swings
Total time (seconds) = 500 seconds
To convert seconds into minutes, we divide by the number of seconds in a minute, which is 60:
Total time (minutes) = Total time (seconds) / 60 seconds/minute
Total time (minutes) = 500 seconds / 60 seconds/minute
Total time (minutes) = 50/6 or approximately 8 minutes and 20 seconds.
The fraction of the total time in minutes is therefore 8 1/3 minutes, which is equal to 25/3 minutes when expressed as an improper fraction.
Paul has a board that is 1,200 cm long. Which of the following measures is equivalent to 1,200 cm?
a. 0.12 km
b. 12 m
c. 120 m
d. 120,000 mm
Answer:
The correct answer is B.
Step-by-step explanation:
Its B because 1m = 100m
12m = 1,200
at the park, 4/7 of the children are boys. if there are 8 boys at the park, how many are girls?
Determine if the number is written in scientific notation. If not, explain. 4.8 × 1007
can their be smaller integer than 0.5
PLEASE HELP ME! On a coordinate grid, the distance between point F and point G is 13 units. Point F is located at (-1, 3). Point G is located at (x, -9). Which value could be the value of x?
A 4
B 8
C 11
D 24
You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books. How much was spent inborn books?
Answer:
$35 was spent on books
Step-by-step explanation:
We must figure out the percent out of $50 that the books are worth
This is 70%
Now we need to figure out how much 10% is out of $50
50 divided by 10
10 percent of the books is 5 dollars
Now to find 20% we do 5+5=10 because it is just x2 of 10%
So we have spent 15 dollars on clothes and games
So now all we must do is 50-15=35
This is how we get our answer!
Pls mark me brainliest! Hope this helps :D
After spending 10% on clothes 20% on games I spent $35 on books.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, You had $50. You spent 10% of the money on clothes, 20% on games, and the rest on books.
Therefore, The expression that represents the context is,
$(50 - (10/100)×50 - (20/100)×50).
= $(50 - 5 - 10).
= $35.
SO, $35 she spent on books.
learn more about percentages here :
https://brainly.com/question/24159063
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If x = 12 cm, y = 8 cm, z = 10 cm, and w = 3 cm, what is the surface area of the geometric shape formed by this net?
A. 288 cm2
B. 144 cm2
C. 192 cm2
D. 160 cm2
Here's the shape: https://media.studyisland.com/pics/127804pic7.png
What is the area of this figure? Select from the drop-down menu to correctly complete the statement. The area of the figure is cm². A square with sides measuring 6 cm. A trapezoid attached to the side of the square has a top length of 7 cm, a long leg side of 10 cm, and the bottom length, when combined with the length of the square, measures out at 21 cm.
Answer: 102
A=1/2 (b1 + b2)h