I
A tree casts a shadow 42 feet long. At the same time, a person 5 feet tall casts a shadow 7 feet
long. What is the height of the tree?
x
11
59 ft
30 ft
5 ft
xft
7ft

Answers

Answer 1

Answer:

The tree is 30 feet

Step-by-step explanation:

Set up a proportion

[tex]\frac{height}{shadow}[/tex] = [tex]\frac{height}{shadow}[/tex]  Fill in what you know

[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{7}[/tex]  Cross multiply

7x = 210  Divide both sides by 7

x = 30


Related Questions

5x6+12 order of operations

Answers

Answer: 5x6+12=42

Step-by-step explanation: Hope This Helps!!

Which of the following represents the sum of the polynomials below?
(6x³ +2ײ +9x)+(-2x³ +5x² +3x)
OA. 4x³ +7x² +12x
OB. 4x³ +7x² +12
OC. 8x³ +7x² +12x
OD. 4x³ +7x² +6x

Answers

Answer:

A

Step-by-step explanation:

First, you have to align the like terms next to each other so that it will be easier to combine like terms. (Like terms have the same variables and powers)

[tex]6x^3+(-2x^3)+2x^2+5x^2+9x+3x[/tex]

Combine like terms:

(When combining like terms all you have to do is add/subtract the coefficients, number in front of variables, and leave the variable and exponents)

[tex]6x^3+(-2x^3)= > 6x^3-2x^3=4x^3[/tex]

[tex]2x^2+5x^2=7x^2[/tex]

[tex]9x+3x=12x[/tex]

So, we get [tex]4x^3+7x^2+12x[/tex]

i need help with these 2 questions {^_^]

Answers

The answer is:
7) - 14
9) 16 1/2

12/7 divided by 3/2 =

A. 18/7
B. 7/8
C. 7/18
D. 8/7

Answers

Answer:

Step-by-step explanation:

D

To divide a fraction by another fraction you multiply by the multiplicative inverse
12/7 divided by 3/2 becomes 12/7 times 2/3

Multiplied out you get 24/21 which reduces by dividing both the denominator and numerator by 3 giving you 8/7 or letter D

identify the set or sets of numbers that belong to -8/5

Answers

The number of the sets  is the  {1, 2/5,4/5,8/5}.

According to the statement

We have to find that the sets of numbers.

So, For this purpose, we know that the

A set of numbers is a collection of numbers, called elements. The set can be either a finite collection or an infinite collection of numbers.

From the given information:

The set or sets of numbers that belong to -8/5.

For make a set of the numbers we have to find the those number which are the divisible on the number -8/5.

Then

Let the number 1, 2/5,4/5,8/5.

And these are the numbers which are the divisible on the -8/5 and give some perfect value like 1, 2 etc.

The set of the numbers = {1, 2/5,4/5,8/5}

So, The number of the sets  is the  {1, 2/5,4/5,8/5}.

Learn more about set of numbers here

https://brainly.com/question/26856218

#SPJ9

chemical property is__________. a. a property that does not change the chemical composition of the matter. b. a characteristic of matter that indicates whether or not the piece of matter can undergo specific changes c. a property that changes with the physical location of the matter sample, d. a characteristic of matter that can be measured without changing the identity of the material

Answers

Answer:

Physical Property

Step-by-step explanation:

Physical Property. A physical property is a characteristic of a substance that can be observed or measured without changing the identity of the substance. Silver is a shiny metal that conducts electricity very well.

Does anyone know this answer??

Answers

does anyone know this answer. yes

The reciprocal of x is 0.25. The reciprocal of y is 10.

Work out the value of xy.

The book says the answer is 5/6 but I can’t get the same answer. Please help.

Answers

Answer:

XY=2/5

Step-by-step explanation:

Given the reciprocal of x is 0.25, that is then

x = 1/ 1/4 = 4

Given the reciprocal of y is 10 then

y = 1/10

xy = 4 ×1/10 =4/10 = 2/5

What is 10 x4 ten thousand

Answers

Answer:

400,000

Step-by-step explanation:

➟ 10 × 4 ten thousand

Since, a ten thousand = 10,000 therefore 4 ten thousand = 40,000

➟ 10 × 40,000

➟ 400,000

Multiple Choice Carlos read a book for language arts class.
He finished the book on Friday. On Monday he read 27 pages.
On Tuesday he read 31 pages. On Wednesday he read 28 pages.
On Thursday and Friday he read the same number of pages each day.
The book has 144 pages. How many pages did he read on Thursday?
A. 28
B. 29
C. 31
D. 58

Answers

Carlos read 29 pages on Thursday.

What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

So Let, the pages read by Carlos on Thursday and Friday be x as on Thursday and Friday he read the same number of pages.

The equations will be: 27 + 31 + 28 + x + x = 144

Now, solve the equation fr x as follows:

27 + 31 + 28 + x + x = 14486 + 2x = 1442x = 144 - 862x = 58x = 58/2x = 29

So, Carlos read 29 pages on Thursday and Friday.

Therefore, Carlos read 29 pages on Thursday.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ9

estimate the cube root of 1100​

Answers

Answer:

Step-by-step explanation:

∛1100

Answer:

10.324

Step-by-step explanation:

I doesn't have a perfect cube root

Stefan drove to work in rush hour traffic, going just 25 miles in 1 hour and 8 minutes. Later that day, he left work early to avoid the rush and was able to take the same route home in 32 minutes. What was Stefan's average speed overall?

Answers

The average speed of stefan is 0.57 miles per hour.

Given, In heavy traffic, Stefan covered just 25 miles in 1 hour and 8 minutes on his way to work.

He left work early to beat the rush hour and made it home in 32 minutes using the same route.

speed of steven in heavy traffic = distance/ time

distance = 25 miles

time = 1 hour and 8 minutes = 68 minutes

therefore, speed = 25/68 = 0.36 miles per hour.

speed of steven while returning back to home.

distance = 25 miles

time = 32 minutes.

speed = 25/32 = 0.78 miles per hour.

average speed = 0.36 ₊ 0.78/2

= 1.14/2

= 0.57 miles per hour.

hence we get the average speed as 0.57 miles.

Learn more about Speed, time and distance here:

brainly.com/question/26046491

#SPJ9

The sum of the angle measures of a quadrilateral is 360°. In Exercises 7 and 8,
write and solve an equation to find the value of x. Use a protractor to check the
of your answer.
reasonableness
7.
110°
90⁰
to
80⁰

Answers

The value of the  angle of the quadrilateral is 80° .

A quadrilateral in geometry is represented as a four-sided polygon with four  corners (vertices) and four sides .

The Latin words quadri, a variation of four, and latus, meaning "side," are the source of the name. In reference to other polygons, it is also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it is also known as a quadrangle or 4-angle.There are two types of quadrilaterals: simple (not self-intersecting) and complex (self-intersecting, or crossed). Convex or concave quadrilaterals are simple quadrilaterals.The sum of all the angle measures of a quadrilateral is 360°

Given angles of the quadrilateral are 110° ,90⁰ and 80⁰.

Now let us consider the fourth angle be x.

∴110°+ 90⁰ + 80⁰ + x = 360°

or, x = 360° - (280°)

or, x = 80°.

The missing angle of the quadrilateral is 80°

To learn more about quadrilateral visit:

https://brainly.com/question/3642328

#SPJ9

Find the 9th term of the arithmetic sequence with 9=10 and d= - ½

Answers

The 9th term of this arithmetic sequence is 6.

In an Arithmetic Progression (AP), the nth term is given by the formula-

a9 = a + (n-1)d

where a = first term of the AP

d = common difference

Here, we are given that a= 10 and d = - ½

Let the 9th term of the AP be a9

Therefore, according to the formula for finding the nth term of an AP, we get-

a9 = a + (9-1)d

a9 = a + 8d

Substituting the values of a and d given in the question-

a9 = 10 + 8(-1/2)

a9 = 10 - 4

a9 = 6

Thus, the 9th term of the arithmetic sequence is 6.

Learn more about Arithmetic Progressions here-

https://brainly.com/question/6561461

#SPJ9

Two negative consecutive integers have a sum of -45. What are the two integers?​

Answers

Answer:

-23+-22=-45

Step-by-step explanation:

In this type of question if he wants the consequtive divided number over 2 and choose the result number and pervious or next one it is depend on the questions

Answer:

The two integers will be/ are - 23 and - 24

h(x)=x squared +1 k(x)=x-2 (h+k)(2)

Answers

The value of the function  (h+k)(2) is 1

What is a function?

A function can be defined as an expression or rule that shows relationship between an independent and dependent variable.

Given the functions;

h(x)= x ² +1 k(x)=x-2

To determine ( h + k), we have

( h + k) = x² + 1 + x - 2

Then,

(h+k)(2), substitute the value of x as 2

(h+k)(2) = (2)² + 1 - (2) - 2

(h+k)(2) = 4 + 1 - 4

(h+k)(2) = 1

Thus, the value of the function (h+k)(2) is 1

Learn more about functions here:

https://brainly.com/question/2328150

#SPJ1

15(2x + 3) = 85 + 10x

Answers

Answer:

x = 2

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

Solve for x15(2x + 3) = 85 + 10x30x + 45 = 85 + 10x  20x + 45 = 8520x = 40x = 2

The value of x is 2.

Factor completely
2x^5-7x^5/2+6

Answers

after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).

We are given the expression :

2 x ⁵ - 7 x ⁵ / 2 + 6

We need to factorize the expression completely.

Taking LCM, we get that,

4 x⁵ - 7 x⁵ + 12 / 2

combining the like terms, we get that,

- 3 x ⁵ + 12 / 2

taking - 3 common from the expression, we get that

- 3 / 2 ( x⁵ - 4)

Therefore, after simplifying yhe expression 2 x ⁵ - 7 x ⁵ / 2 + 6, we get the result as - 3 / 2 ( x⁵ - 4).

Learn more about expression here:

https://brainly.com/question/723406

#SPJ9

Which of the following equations represents a line that passes through the points (5,3) and (-5,-1). Both, neither, 1, or 2.
1. y+1=2/5(x+5)
2. y=-2/5x+1
PLS ANSWER

Answers

Answer:

Both

Step-by-step explanation:

(5, 3) and (-5, -1)

To get the equation of two points(coordinate)

(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)

(5, 3) --- (x₁, y₁)

(-5, - 1) --- (x₂, y₂)

(- 1 - 3)/(- 5 - 5) = (y - 3)/(x - 5)

-4/-10 = (y - 3)/(x - 5)

4/10 = (y - 3)/(x - 5)

⅖ = (y - 3)/(x - 5)

5(y - 3) = 2(x - 5)

5y - 15 = 2x - 10

5y = 2x - 10 + 15

5y = 2x + 5

Divide through by 5

5y/5 = 2x/5 + 5/5

y = ⅖x + 1

Option 2 is correct

let's see if option 1 is correct

y = ⅖x + 1

add 1 to both sides.

y + 1 = ⅖x + 1 + 1

y + 1 = ⅖x + 2

y + 1 = ⅖(x + 5)

So, option 1 is also correct

Answer:

Both

Step-by-step explanation:

(5, 3) and (-5, -1)

To get the equation of two points(coordinate)

(y₂ - y₁)/(x₂ - x₁) = (y - y₁)/(x - x₁)

(5, 3) --- (x₁, y₁)

(-5, - 1) --- (x₂, y₂)

(- 1 - 3)/(- 5 - 5) = (y - 3)/(x - 5)

-4/-10 = (y - 3)/(x - 5)

4/10 = (y - 3)/(x - 5)

⅖ = (y - 3)/(x - 5)

5(y - 3) = 2(x - 5)

5y - 15 = 2x - 10

5y = 2x - 10 + 15

5y = 2x + 5

Divide through by 5

5y/5 = 2x/5 + 5/5

y = ⅖x + 1

Option 2 is correct

let's see if option 1 is correct

y = ⅖x + 1

add 1 to both sides.

y + 1 = ⅖x + 1 + 1

y + 1 = ⅖x + 2

y + 1 = ⅖(x + 5)

So, option 1 is also correct

Compare and order the following numbers:

√11, 2 1/4, -2.5, 3.6 repeating, -3.97621...

Answers

The correct decreasing order of the given numbers is : 3.32 > 2.25 > -2.25 > -3.98

What is Descending Order ?

Descending order is a way to arrange numbers from largest to smallest. When we arrange things in order, from a higher value to a lower value, it is known as the descending order or the decreasing order.

√11 = 3.316 = 3.32 (rounding off to two decimal places)

2 1/4 = 9/4 = 2.25 (by solving mix fraction)

-2.25 (negative number is written in negative x- axis)

-3.97621 = -3.98 (negative number is written in negative x- axis)

arranging the numbers in descending order

3.32 > 2.25 > -2.25 > -3.98

therefore, the highest number is 3.32 and the lowest number is -3.98

Read more about Descending Order at :

https://brainly.com/question/23938305

#SPJ1

35 POINTS Rebecca has 3 paintings to sell. The amount of money Rebecca makes from selling x paintings is represented by a function.

f(x)=25x

What is the domain of the function?




all real numbers

{25, 50, 75}


{0, 25, 50, 75}


{0, 1, 2, 3}

Answers

Answer:

First one because she will not buy it for free so 0 isn't in the domain

Answer:

all real numbers I believe

..・ヾ(。><)シ

What is 8 x 1 plus 5 x 1/1000 plus 9 x 1/1000

Answers

The value of the expression 8 × 1 plus 5 × 1/1000 plus 9 × 1/1000 is 8.014.

Consider the expression,

8 × 1 plus 5 × 1/1000 plus 9 × 1/1000

Now,

8 × 1 = 8 and;

5 × 1/1000 = 5/1000

and;

9 × 1/1000 = 9/1000

Now,

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + 5/1000 + 9/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + [ ( 9 + 5 ) / 1000 ]

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 + 14 / 1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = ( 8 / 1 ) + ( 14 / 1000 )

Now, LCM of 1 and 1000 is 1000.

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8 × ( 1000/1000) + 14/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8000/1000 + 14/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = ( 8000 + 14 ) / 1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8014/1000

8 × 1 + 5 × 1/1000 + 9 × 1/1000 = 8.014

Learn more about expression here:

https://brainly.com/question/4344214

#SPJ9

help solve please x^3-2x^2-2=0

Answers

Answer:

x=2.35930...

i hope this is the answer

Ann is 4 years older than Julie. 4 years ago Ann was twice as old as Julie. Find their present ages.

Answers

Answer: Julie is 8 years old. Ann is 12 years old.

Step-by-step explanation:

A=Ann's age. J=Julie's age

A=J+4

A-4=(J-4)*2

A-4=2(J-4)

A=2(J-4)+4

2(J-4)+4=J+4

2J-8+4=J+4

2J-4=J+4

2J=J+8

J=8

A=J+4

A=8+4

A=12

Julie is 8 years old. Ann is 12 years old.

Julie's present age (x) is 8 years old, and Ann's present age (x + 4) is 12 years old. Julie is 8 years old and Ann is 12 years old.

Let's denote Julie's age as x.

Since Ann is 4 years older than Julie, her age can be represented as x + 4.

Four years ago, Julie's age was x - 4 and Ann's age was (x + 4) - 4 = x.

Since Ann was twice as old as Julie, we can write the equation

: x = 2(x - 4).

Simplifying the equation, we get: x = 2x - 8.

Rearranging the terms, we find: x - 2x = -8.

Combining like terms, we have: -x = -8.

Finally, solving for x, we get: x = 8.

Therefore, Julie's present age (x) is 8 years old, and Ann's present age (x + 4) is 12 years old.

Learn more about Ages and equations here:

https://brainly.com/question/17736923

#SPJ3

which expression can be used to solve the equation 2x-1=x+2

Answers

The expression can be used to solve the equation 2x - 1 = x + 2 is 3 which is option (B) .

A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms  combined by mathematical operations such as subtraction, addition, multiplication, and division.The terms involved in an expression in math are:Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

We have given an expression [tex]2x-1=x+2[/tex]  .

On solving , we get

   [tex]2x-x=2+1\\x=3[/tex]

Learn more about expression here :

https://brainly.com/question/723406

#SPJ9

The complete question is mention below :

Which expression can be used to solve the equation 2x-1=x+2 ?

A. 1

B.3

C.5

D.4

What is 3.81704*10^5?

Answers

Answer: 381704, because math

18. C(−8, −6) and D(−4, 10)

Answers

Answer:

I'm assuming you want to find the slope.

If so, the answer is: m = 4

Hope this helps! <3

A research group surveyed 250 students. The students were asked how often they go to the movies and whether they prefer comedies or dramas

Answers

The percentage of the students who go to the movies three times a month or more is equal to 34%.The percentage of the students who prefer dramas is equal to 56%.

What is a percentage?

A percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

The percentage of the students who go to the movies three times a month or more is given by:

Total students = 30 + 55 = 85 students.

Percentage = 85/250 × 100

Percentage = 0.34 × 100

Percentage = 34%.

The percentage of the students who prefer dramas is given by:

Total students = 85 + 55 = 140 students.

Percentage = 140/250 × 100

Percentage = 0.56 × 100

Percentage = 56%.

Read more on percentage here: https://brainly.com/question/28009735

#SPJ1

Complete Question:

A movie club surveyed 250 high school students. The students were asked how often they go to the movies and whether they prefer comedies or dramas. Their responses are summarized in the following table.

(a) What percentage of the students go to the movies three times a month or more?

(b) What percentage of the students prefer dramas?

Somone help me on this free 20 poins

Answers

Answer:

T = 3.67 years

Step-by-step explanation:

3.67 years is the answer

-4 66/100 greater or less than -4 3/4

Answers

After the conclusion we can conclude that the fraction  [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex].

What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

First, we need to make both denominators the same in order to find which fraction is greater and less than.

So,

[tex]-4\frac{66}{100} , -4\frac{3}{4} \\[/tex](-400+66)/100, (-16+3)/4-334/100, -13/4(-334×4)/(100×4), (-13×100)/(4×100)-1336/400, -1300/400

Hence, -1336/400 < -1300/400

So, we can conclude that:  [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex]

Therefore, the fraction  [tex]-4\frac{66}{100} < -4\frac{3}{4}[/tex].

Know more about fractions here:

https://brainly.com/question/17220365

#SPJ1

Other Questions
In contrast to interviews, self-administered questionnaires have the advantages of? Jurisdiction refers to _____. Jaiden earned $84 last week. Peter earned only $12. Jaiden's earnings are how many times greater than Peter's. SCIENCE, TECHNOLOGY, AND SOCIETY Extensive irrigation in arid regions causes salts to accumulate in the soil. (When water evaporates, salts that were dissolved in the water are left behind in the soil.) Based on what you learned about water balance in plant cells, explain why increased soil salinity (saltiness) might be harmful to crops. Which of the following acts were the MOST responsible for a shift in mindset amongst the American colonists? Sugar ActQuartering ActStamp ActDeclaratory ActTownshend ActsCoercive Acts In the figure below, m2=56 and mZXWY=153,Find m Z1. Figure F is a scale image of figure E as shown. Enter the scale factor applied to figure E to produce figure F. Do you think human activities is responsible for global warming Estimate the sum of 12.15,16.85 and1.74 by rounding each number to nearest tenth ZE and ZF are supplementary. The measure of ZE is 54 more than themeasure of ZF. Find the measures of each angle. Which describes the greatest displacement?A. Walking 3 m east, then 3 m north, then 3 m westB. Walking 3 m east, then 3 m south, then 3 m east cuales son los eventos principales del capitulo 1 del libro el alquimista de pablo coelho? Please help its urgent . Grade 11 homework I need help on this I can give 10 points. The tension in cable cd is t = 480 lb. the x-component of the moment created by this tension about point o is most nearly:_____. What is co-authoring? A back office service structure is most similar to? a. a line process. b. a small batch process. c. a job process in manufacturing. d. a large batch process. help me 40points i got assignment duee What is Mercutio saying?More than prince of cats, I can tell you. O! he is the courageous captain of compliments. Hefights as you sing pr*ck-song, keeps time, distance, and proportion; rests me his minim rest, one,two, and the third in your bosom; the very butcher of a silk button, a duellist, a duellist; agentleman of the very first house, of the first and second cause. Ah! the immortal passado! thepunto reverso! the hay!O He is calling Romeo unmanly.O He showing his deep respect for Tybalt's fighting ability.O He is teaching Benvolio how to sword-fight.O He is criticizing Tybalt's lack of authenticity, despite his knowledge of custom. write an absolute value inequality. x24