The shadow cast by an object on a sunny day is directly proportional to the height of the object. If a person 82 inches tall casts a shadow 57 inches long, how tall is a tree which casts
shadow 31 feet in length? Round to the nearest hundredth if necessary
A. 150.77 feet
B. 44.6 feet
C. 69.5 feet
D. 21.55 feet

Answers

Answer 1

Answer:

B. 44.6 feet

Step-by-step explanation:

To find the height of the tree, create a proportion where x is its height:

[tex]\frac{82}{57}[/tex] = [tex]\frac{x}{31}[/tex]

Cross multiply and solve for x:

57x = 2542

x = 44.6

So, the tree is B, 44.6 feet

Answer 2

Answer:

Given :-Height of person = 82 inchesShadow of person = 57 inchesShadow of another person = 31 ftTo Find :-

Height of person

Solution :-

We may notice that they are in proportion

So,

Let the length be x

82/57 = x/31

57 × x = 82 × 31

57x = 2542

x = 2542/57

x = 44.6 ft

[tex] \\ [/tex]


Related Questions

Which phrase represents this expression?

14+(9−2)

Select each correct answer.


14 added to the difference of 9 and 2

the total of 14 and 9 is subtracted by 2

the sum of 14 and the difference of 9 and 2

2 less than the sum of 14 and 9

Answers

14 added to the difference of 9 and 2 is the correct answer because first 2 is being subtracted from 9 and then 14 is added

Answer:

the sum of 14 and the difference of 9 and 2

14 added to the difference of 9 and 2

Step-by-step explanation:

help me plz bc i don't understand this and this is from 2 weeks ago and I have straight F's in school

Answers

bae what you failing

Answer:

y = -3x + 3

Step-by-step explanation:

So, basically I can't remember how to do this the long way but I used a calculator on Desmos (the graphing one to be specific). You should be able to find tutorials on how to use it and graph problems to find their answers but if not, you can just message me and I'll walk you through how to use it.

As for the form it asked for in the question, slope-intercept form is just:

y = mx + b

m is the slope, and b is the y-intercept (the place where the line crosses the y-axis)

I REALLY NEED HELP!!! PLEEEEEASE

A landscaper needs to fill a path measuring 2 feet by 8 feet with patio stones.
The patio stones are each 1 foot by 2 feet, so the landscaper calculates that she
will need 8 of them.
Before arranging the patio stones, the landscaper wants to look at all her options.
She can not cut or overlap the stones, and they all must fit inside the path area
without any gaps. Two possible arrangements of the stones are shown below.
How many different arrangements are there in total?

Answers

Answer:

I think its 4.

Step-by-step explanation:

Someone please help me please

Answers

Answer:

inuminati

Step-by-step explanation:

correct answer gets brainliest

Answers

Answer:

1.) 12³

Step-by-step explanation:

side = 12 ft

volume of cube = side³

----------------------------------follow me

Answer:

first option

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the side length )

Here s = 12, then

V = 12³

Colin & Brian share a lottery win of £2100 in the ratio 4 : 1.
Colin then shares his part between himself, his wife & their son in the ratio 2 : 5 : 3.
How much more does his wife get over their son?​

Answers

Answer:

2

Step-by-step explanation:

I think but am not sure sorry I can not help

decimal greater than 1% but less than 2%

Answers

Answer:

1.5%

Step-by-step explanation:

Answer:

1.5% of 100=1.5is your answer

Anthony's family is going to the zoo for the day. They bought 3 adult tickets and 2 child tickets for $23.50. Bella's family bought 2 adult tikets and 4 child tickets for $25. Solve the equation to find the price on an adult ticket and a child ticket.

Answers

Answer:

Adult's ticket is

Child's ticket is $3.50

Step-by-step explanation:

We'll call the price of adult tickets x and the price of child tickets y

Anthony's family bought 3 adult tickets for $x, and 2 child tickets for $y and paid a total of $23.50. In math-speak that's:

3x + 2y = 23.50

Bella's family equation looks like this:

2x + 4y = 25

We're going to solve for x in terms of y with Bella's family first

Isolate the x:

2x =  25 - 4y

x = 12.5 - 2y

Then we'll substitute that into Anthony's family equation, and get a number value for y

3(12.5 - 2y) + 2y = 23.50

37.50 -6y + 2y = 23.50

-4y = -14

y = 3.5, so a child's ticket is $3.50

Substitute that value into our (x = 12.5-2y) to solve for x

x = 12.5 -2(3.5)

x = 12.5 - 7

x = 5.5, so an adult ticket is $5.50

Checking the values in Bella's family:

2(5.5) + 4 (3.5) = 11 + 14 = $25

LMK in the comments if you have questions

Which of the following statements uses the commutative property of addition?

A) 2+(3+4)=(2+3)+4
B) 2+(3+4)=(2+3)+(2+4)
C) 2+(3+4)=2+(4+3)

Answers

Answer:

B

Step-by-step explanation:

Jill works on the weekends. Last saturday, she worked 5.75 hours. Sunday she worked 6.75 hours. she earn $7.50 per hours. How much did she earn last weak​

Answers

93.75 because 5.75x7.50=43.125 and 6.75x7.50=50.625 and 50.625+43.125=93.748 and round it to the near test hundredth because it’s money and that’s 93.75

A bottle of italian salad contains 0.7 grams of sugar. How many milligrams of sugar are in 6 bottles of italian salad dressing

Answers

Answer:

420mg

Step-by-step explanation:

0.7x6 = 0.42g which is 420mg

1g = 1000mg

equivalent expression: 26a - 10

Answers

Answer:

2(13a-5)

Step-by-step explanation:

Factor 2 out of both numbers and place it in front

Linda's dog ate 6 cans of dog food this week. Each can contained 44.7 grams of protein. How much protein was this in all?

Answers

Answer:

268.2 grams

Step-by-step explanation:

44.7 times 6

please mark brainliest

A cashier at Giorgio's Grocery Store gets paid $8 per hour for shifts of 6 hours or less and $12 per hour for working shifts over 6 hours long. Which function best represents this situation?

Answers

Given :

A cashier at Giorgio's Grocery Store gets paid $8 per hour for shifts of 6 hours or less.

And $12 per hour for working shifts over 6 hours long.

To Find :

A function best represents this situation.

Solution :

Let, number of hours is h and amount paid is y .

For, h ≤ 6

y = 8h

For, h > 6

y = 12h

Therefore, function representing this is :

y( h ) =  8h  , x ≤ 6

            12h , x > 6

Hence, this is the required solution.

PLS HELP ASAP- don’t waste my points or your getting banned

Answers

Answer:

A

Step-by-step explanation:

Answer:

In a survey, bias means a survey with leading questions or data that is not collected in a fair way.

Let me know if this helps!

Which descriptions of the figure MUST be true? Select all that apply.

Please help me

Answers

The true description of the figure here are:

x = 8MN = 52D

How to solve for the proof of the figure

We have x to be = 8

The value of MN is said to be 5x + 12

We have to see if 5x + 12 = MN = 52 given that X is 8

We then insert the value

5 * 8 + 12 =

40 + 12 = 52

Hence it is confirmed that the value of x is 8, and MN is 52.

Read more on geometry here:

https://brainly.com/question/24375372

#SPJ1

Answer:

a. 8

c. 52

d. KL≅ ML

Step-by-step explanation:

y is directly proportional to the square root of x
If y = 32 when x = 64 find,
y when x = 25

Please help​

Answers

Answer:

y = 20

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x}[/tex] , then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

To find k use the condition y = 32 when x = 64, then

32 = k[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )

4 = k

y = 4[tex]\sqrt{x}[/tex] ← equation of proportion

When x = 25, then

y = 4[tex]\sqrt{25}[/tex] = 4 × 5 = 20

Mike took a taxi from his home to the airport. The taxi driver charged an initial
fee of $6 plus $3 per mile. The total fare was $24, not including the tip. How many
miles did mike travel by taxi on this ride?
A. 2
B. 6
C. 8
D.10

Answers

Answer:

B. 6

Step-by-step explanation:

SInce the total amount paid by Mike was $24, you subtract the initial amount he paid ($6) which leaves you with $18. Since the taxi driver charges $3 per mile you divide $18 by $3 to get 6 so that means Mike travel 6 miles.

The answer would be ~6~ because 6+3*x= 24 which x=6

Hope this helps

Have a great day/night

Feel free to ask any questions

help [7.3 - 0.24 + (5 - 2.3 )] - (1.37 + 0.982 =

Answers

Answer:

2.8

Step-by-step explanation:

[7.3-0.24+(2.7)]-(2.352)

[7.3-2.94]-(2.352)

[4.36]-(2.352)

2.008

Someone please help?

Answers

Answer:

I think it's C the third answer choice

Step-by-step explanation:

the distance from Caleb's house to the school is 1.5 miles, and the distance from Ashley's house to the school is 3,520 feet . who lives closer to the.school , caleb or Ashlee? use numbers and words to.support your answer​

Answers

Answer:

ashley

Step-by-step explanation

1.5 miles is 7,920 feet

1. What is the x-intercept of the following linear function?
f(x) = 2x + 4*
(2 Points)
a. (0.4)
b. (4,0)
c. (-2,0)
d. (0-2)

Answers

Step-by-step explanation:

At the x-intercept of f(x), we have f(x) = 0.

=> 2x + 4 = 0, 2x = -4, x = -2.

Hence the x-intercept is (-2, 0). (C)

Answer:

To find x-intercept we have to solve f(x)=0

But it is given that f(x)= (2x+4)

Therefore, the equation is :---

[tex]2x + 4 = 0 \\ 2x = - 4 \\ x = \frac{( - 4)}{2} \\ \boxed{x = - 2}✓[/tex]

c. (-2,0) is the right answer.

Need help ASAP!!!
Multiple choice answers

Answers

Answer:

A. 16.55

Step-by-step explanation:

What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.

21 * sin(38)

sin(38) calculates to 0.615661475.

21 * 0.615661475

Multiply 21 by 0.615661475

side a = 12.928890975

Now to find x. Use this to find x: √21² - 12.928890975²

√21² - 12.928890975²

Square both numbers

√441 - 167.156221843

Subtract 167.156221843 from 441

√273.843778157

Find the square root of 273.843778157

x ≈ 16.548225831

x ≈ 16.55, so the answer is A.


Find the mode of 4, 6, 2, 5, 3, 4, 2, 6, 1, 7, 4, 3, and 8.

Answers

Answer:

4

Step-by-step explanation:

The mode is the most recurring number. Since 4 occurs the most in the list, the mode is 4

is 5x^7 monomial?
please help :(

Answers

Answer:

No, it is a binomial.

Step-by-step explanation:

Please I really need help

Answers

Answer:

Step-by-step explanation:

as an educated guess i would choose the third choice for the second question

Second answer choice, mark me as brainlist if I’m right <3

(08.05) Some students reported how many pets they had. The dot plot shows the data collected:
Students' Pets
0 1 2 3 4
Number of Pets
What do the dots above the number 3 indicate?
There are exactly 2 students with 3 pets.
There are exactly 3 students with 2 pets.
There are exactly 2 students with more than 3 pets.
There are exactly 3 students with more than 2 pets.

Answers

Answer:

There are exactly 2 students with 3 pets.

Step-by-step explanation:

Hope this helps.

Answer:

There are exactly 2 students with 3 pets

Step-by-step explanation:

Because 2 has 3 dots no more

Find the volume of the cylinder. Use 3.14 for Pi
9 cm height
6.5cm

A.1,194.6
B. 298.5
C. 633
D. 367.4

Answers

The correct answer is A. 1,194.6

I hope this helps :)

A Purse cost $75.00 at Macy’s with a 25% discount. What is the sale price with 7% tax?

Answers

Answer: $60.1875

Step-by-step explanation:

Since we are told that a purse cost $75.00 at Macy’s with a 25% discount. The sale price will be:

= $75 - (25% × $75)

= $75 - (0.25 × $75)

= $75 - $18.75

= $56.25

We will then add the 7% tax and this will be:

= $56.25 + (7% × $56.25)

= $56.25 + (0.07 × $56.25)

= $56.25 + $3.9375

= $60.1875

A triangle has an area of 72 square feet. The height is 12 feet. What is the length of the base (in feet).

Answers

Answer:6 feet

Step-by-step explanation:

72 divided by 12 = 6

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