Connor is 6 feet tall and casts a shadow that is 2.5 feet long. He stands next to a tree that is 25 feet tall. How long is the shadow the tree casts? Round your numerical answer to the nearest whole number.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]

Answer 2

The Tree casts a height of 10.41 feet tall.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Connor is 6 feet tall and casts a shadow that is 2.5 feet long.

He stands next to a tree that is 25 feet tall.

let the shadow of tree is x feet long.

Using proportion

6/ 2.5 = 25/x

6x = 62.5

x= 10.41 feet

Learn more about Proportion here:

https://brainly.com/question/26974513

#SPJ2


Related Questions

Need help please answer ASAP!

Answers

Answer:

   39. (4) 4 1/16

Step-by-step explanation:

Simplifying

f(x) = 4x⁰ + (4x)⁻¹Any term to the power is equal to 1f(x) = 4(1) + 1/4x

Substituting x = 4

f(4) = 4 + 1/4(4)f(4) = 4 + 1/16f(4) = 4 1/16(4) 4 1/16

1 3 6 10 what number comes next

Answers

Answer:

15 is the correct and answer mark me brainiest

Step-by-step explanation:

Well its because they added 2 3 4 now 5

Answer:

14

Step-by-step explanation:

there is difference 1 3 there is difference of 1 and 3 6 there is difference of 2 and 6 10 there is difference of 3 and there will be difference of 4

I need help will someone help

Answers

Answer:

(2,3) is the answer

Step-by-step explanation:

[tex]5x - 4y = - 2.....equation1 \\ 2x + 4y = 16 \\ 4y = 16 - 2x......equation2 \\ now \: substituting \: the \: value \: of \: 4y \: in \: eq1 \\ 5x - (16 - 2x) = - 2 \\ 5x - 16 + 2x = - 2 \\ 7x = - 2 +16 \\ x = \frac{14}{7} \\ x = 2 \\ putting \: the \: value \: of \: x \: in \: eq2 \\ 4y = 16 - 2x \\ y = \frac{16 - 2 \times 2}{4} \\ y = \frac{12}{4} \\ y = 3[/tex]

Can someone please explain this to me very detailed I don’t understand it. Please

Answers

Answer:

a140 b10

Step-by-step explanation:

a x(all the pupil)×25%=35

x=140

b. 16:y=40:25

y=16×25/40=20

PLEASEEE HELP 100 POINTS
Write the equation of a circle whose center is at the origin and that contains the point (-3, 0).

Answers

Radius

√(-3)²+(0)²√93units

So

equation of circle

(x-h)²+(y-k)²=r²(x-0)²+(y-0)²+3²x²+y²=9

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

center = (0, 0)point on circle = (-3, 0)

Substitute the given values into the formula and solve for r²:

[tex]\implies (-3-0)^2+(0-0)^2=r^2[/tex]

[tex]\implies (-3)^2+(0)^2=r^2[/tex]

[tex]\implies 9=r^2[/tex]

Substitute the center and found value of r² into the formula to determine the equation of the circle:

[tex]x^2+y^2=9[/tex]

Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total?

$7.30
$7.55
$8.30
$8.55

Answers

Answer: 7.30

Step-by-step explanation: 0.35+0.85= 1.30 (from 2.35 and 1.85)

(Then you just add the number all together so it’s easier)

1.30+1+2+3.10 =7.30

Help me with this please 20 points down below

Answers

Most of the first ladies are from New York because 9 of them came from there.

Answer:

D

Step-by-step explanation:

The valid conclusion we reach by interpreting the graph is :

D) Most of the first ladies are from New York.

New York had 9 first ladies, more than 6 each from 2 states, and 3 each from the other 2 states.

Which term best describes the trend shown on the scatter plot below?
No trend
Negative Trend
Positive Trend

Answers

Answer:

Positive Trend

Step-by-step explanation:

As the y-values tend to increase with increase in x-values, we can consider this scatter plot to have a positive trend.

help me with this question number 11 please and thank you

Answers

The linear equation is 3x + 5y = 75. Then the value of A, B, and C will be 3, 5, and 75 respectively.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of a line is given as

y = mx + c

where m is the slope and c is the constant.

Then we have

y = (-3/5)x + c

The line is passing through (25, 0). Then we have

25 = c

Then we have

y = (-3/5)x + 25

On simplifying, we have

5y = -3x + 75

3x + 5y = 75

Then the value of A, B, and C will be 3, 5, and 75 respectively.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Many simple quadratic equations have two solution( one positive,one negative)but there is one simple quadratic equation that has only one solution.what is the equation and what is its solution?

Answers

Answer:

The answer is ax² + bx + c = 0

Step-by-step explanation:

Grace is an hourly employee

Answers

Answer:

full question Grace is an hourly employee, and the line that models her total pay in dollars

as it relates to the number of hours she has worked has a slope of 45 and a y

intercept of 35. Which statement is true?

A. Grace's wage is $35 an hour, and it appears that she received a

signing bonus of $45.

B. Grace's wage is $35 an hour, but it appears that she received no

signing bonus.

C. Grace's wage is $45 an hour, and it appears that she received a

signing bonus of $35.

D. Grace's wage is $45 an hour, but it appears that she received no

signing bonus.

Step-by-step explanation:

if x is the amount of hours worked, 45 is the slope and the y intercept is 35.

A linear equation has the form of y = ax + b, where a is the slope and b is the y-intercept, then the equation that we have is:

y = 45*x + 35

this means that she wins $45 per hour, and has a plane amount of $35, indiferent of the amount of hours worked.

Then the correct answer is

C) Grace's wage is $45 an hour, and it appears that she received a  signing bonus of $35.

Answer:

wow........mmm.................

Please help!
A card is selected at random from the set of cards below.

A sample space for the experiment is {F, G, H, J, K, L, M}. Let W represent the event “the card is white”, let S represent “the card is shaded”, and let E represent “the number is even”. Select all that apply.
A. The event S is {F, H, K, L, M}.
B. The event not E is {F, G, H, M}.
C. The event S or E is {F, H, J, K, L, M}.
D. The event S and E is {K, L, M}.
E. P(W or S) = 1
F. P(W and S) = 1

Answers

Answer:

See below ~

Step-by-step explanation:

True Statements

A. The event S is {F, H, K, L, M}.C. The event S or E is {F, H, J, K, L, M}.D. The event S and E is {K, L, M}.E. P(W or S) = 1

Which polynomial is prime? 7x2 – 35x 2x – 10 9x3 11x2 3x – 33 10x3 – 15x2 8x – 12 12x4 42x2 4x2 14.

Answers

Answer:

see the attachment.

i hope this can help you!

Find the measure of <1, <2 and <3 In P

Answers

Answer:

Step-by-step explanation:

Solve by completing the square.
y² +10y = -9

Answers

Answer:

y=−1 or y=−9

Step-by-step explanation:

y2+10y=−9

Step 1: Subtract -9 from both sides.

y2+10y−(−9)=−9−(−9)

y2+10y+9=0

Step 2: Factor left side of equation.

(y+1)(y+9)=0

Step 3: Set factors equal to 0.

y+1=0 or y+9=0

y=−1 or y=−9

Answer:

y=−1 or y=−9

Answer:

Here is the ans ..hope it helps:)

use technology to find the solution to the system:

Answers

Answer:

Y = 2

X = - 2

Step-by-step explanation:

8x-4y= - 24 eq 1

4x-12y = - 32 eq 2

Multiply equation 2 by (×-2)

Then

-8x +24 y = 64. Eq 3

Add eq 1 to eq 3

20y = 40 then y = 2

From eq 1

8x - 4(2) = - 24

8x = - 16

X = - 2

Multiply: (x 4)(x2 2x 3) simplify and write your answer in standard form.

Answers

Answer:

The answer is: 24x^4

is this image a function

Answers

The mapping diagram given is a function.

-Hope it helps!!

what is the volume of the pyramid? The base is 2cm and the height is 3.75

Answers

    I am going to assume this is a square pyramid and the base is 4 cm², in other words, 2 * 2 = 4

Answer: 5 cm³

Step-by-step explanation:

     We will use the formula for a pyramid and solve.

[tex]\displaystyle V=\frac{lwh}{3}[/tex]

[tex]\displaystyle V=\frac{(2)(2)(3.75)}{3}[/tex]

V = 5 cm³

Taliya secured a position with att for her summer jobshe was in charge of placing a cell tower that was equidistant to an elementary school, shopping mall, and starbucks. the three locations form a triangular pattern on the map. if taliya were to use a center of triangle, which should she use for the cell tower placement that would be equidistant from those three locations on the map.

Answers

The Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

What is circumcenter of a triangle?

The circumcenter of a triangle is the point which lies in the center of the triangle and at the equidistant from all the three vertex of the triangle.

Taliya gets a summer job. She was in charge of placing a cell tower which should be equidistant to an elementary school, shopping mall, and starbucks.

The three locations form a triangular pattern on the map.  Now the Taliya were to use a center of triangle.

Thus, the Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

Learn more about the circumcenter of a triangle here;

https://brainly.com/question/14406720

#SPJ1

The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 800 hours and a standard deviation of 50 hours. what is the probability that
a randomly chosen light bulb will last between 780 hours and 810 hours, to the
nearest thousandth?

Answers

Answer:

23.47 %      ( or .2347)

Step-by-step explanation:

780    is    20/50 = .4   for z score - .4

810     is    10/50 = .2       z-score = .2

 Use z-score table         .5793 - .3446 = .2347     23.47%

Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?

Answers

Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

How to calculate the perimeter?

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

Given the following data:

Minor base = 10 cm.Major base = 13 cm.

From the middle, the diameter of this circle is given by:

D = 1/2 (10 + 13)

D = 11.5 cm.

Now, we can calculate the perimeter:

Perimeter = πD

Perimeter = 3.142 × 11.5

Perimeter = 36.13 cm.

Read more on trapezoid here: https://brainly.com/question/4758162

#SPJ1

help me with math please

Answers

Answer:

B. x ~ 5

This is a right isosceles triangle

The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve for the dimensions (length and width) of the poster.

Answers

Answer:

Width = 7 inches

Length = 23 inches

Step-by-step explanation:

Let :

length = 2x + 9width = x

Equating to area :

(2x + 9)(x) = 1612x² + 9x = 1612x² + 9x - 161 = 02x² - 14x + 23x - 161 = 02x(x - 7) + 23(x - 7) = 0x - 7 = 0x = 7

Dimensions are :

Width = 7 inchesLength = 2(7) + 9Length = 23 inches

Answer:

Length: 23 inches

Width: 7 inches

Explanation:

Width: wLength: 2w + 9Area of rectangle: Length × Width(2w + 9) × (w) = 1612w² + 9w - 161 = 02w² + 23w - 14w -161 = 0w(2w + 23) -7(2w +23) = 0w = 7, -11.5

As length measure cannot be negative. Width is +7 inches

Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23

Find the area of this circle. Use 3 for π.
A = πr2
[?] ft2

Answers

Answer:  27  

PI × R² Is the formula as you posted.

And if you're asking for it as it's square root than it's 5.2

Answer:

27

Step-by-step explanation:

A = πr²

A = 3 × (3 ft)²

A = 3 × 9 ft²

A = 27 ft²

Answer: 27

Help please!!! It’s timed

Describe how you would find the volume of each hemisphere below. What is the volume of each hemisphere?

Answers

V = (2/3)πr. I hope it helps :)

It's not hemisphere,It's a complete sphere .

Radius=26.12/2=13.06cm

Volume

4/3πr³4/3π(13.06)³9330.8cm³

Volume of each hemisphere.

9330.8/24665.4cm³

Use the drop-down menus to order the decimals from greatest to least.
8.31, 8.296, 8.06, 8.3

Answers

8.31 8.3 8.296 8.06

youre welcome

The correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.

How to to order the decimals from greatest to least.

let's order the decimals from greatest to least:

1. 8.31

2. 8.3

3. 8.296

4. 8.06

So, the correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.

Learn more about decimals at https://brainly.com/question/703656

#SPJ3

Prove the following tan^2 A/(tan A -1 )+ cot A/(1 - tan A)=1 +sec A cosec A



In Image, Question is No.4 (vi)

Answers

See below for the proof of the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]

How to prove the trigonometry identity?

The trigonometry equation is given as:

[tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex]

Rewrite the equation as:

[tex]\frac{\tan^2(A) }{\tan(A) - 1} - \frac{\cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Take LCM

[tex]\frac{\tan^2(A) - \cot(A)}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Express cot(A) as 1/tan(A)

[tex]\frac{\tan^2(A) - \frac{1}{\tan(A)}}{ \tan(A) - 1} =1 + \sec(A)\csc(A)[/tex]

Take LCM

[tex]\frac{\tan^3(A) - 1}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]

Apply the difference of two cubes on the numerator

[tex]\frac{(\tan(A) - 1)(\tan^2(A) + \tan(A) + 1)}{\tan(A)(\tan(A) - 1)} =1 + \sec(A)\csc(A)[/tex]

Cancel out the common factors

[tex]\frac{\tan^2(A) + \tan(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Rewrite as:

[tex]\frac{\tan(A) + \tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Split the fraction

[tex]1 + \frac{\tan^2(A) + 1}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Express [tex]\tan^2(A) + 1[/tex] as [tex]\sec^2(A)[/tex]

[tex]1 + \frac{sec^2(A)}{\tan(A)} =1 + \sec(A)\csc(A)[/tex]

Divide [tex]\sec^2(A)[/tex] by [tex]\tan(A)[/tex]

[tex]1 + \frac{1}{\sin(A)\cos(A)} = 1 + \sec(A)\csc(A)[/tex]

Take the inverse of sin and cosine

[tex]1 + \sec(A)\csc(A) = 1 + \sec(A)\csc(A)[/tex]

Both sides of the equation are the same.

Hence, the trigonometry identity [tex]\frac{\tan^2(A)}{\tan(A) - 1} + \frac{\cot(A)}{1 - \tan(A)} =1 + \sec(A)\csc(A)[/tex] has been proved

Read more about trigonometry identity at:

https://brainly.com/question/7331447

#SPJ1

If 0.8Vx160=0.9Vx45
Get the value of V

Answers

Answer:

V=0

Hope it helps

A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)


What is the area of the square?



What is the area of the circle? Round your answer to the nearest square foot?



Which shape should the landscape architect recommend to a client who wants the largest possible area for an 80-foot rope?

A.
Square

B.
Circle

Answers

Answer: The area of the square is 400sqf.

Answer 2: Area of circle = 509.31 square feet.

Answer 3: The circle because the circle's are is larger

Answers:

Area of the square = 400 square feetArea of the circle = 509 square feetRecommended shape with largest area = Circle

==========================================================

Explanation:

The rope forms the perimeter of each shape. This is the distance around the outer edges.

The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.

The area of the square is 20*20 = 400 square feet.

--------------

The circle has a circumference of 80 feet, which leads to a radius of...

C = 2*pi*r

r = C/(2pi)

r = 80/(2pi)

r = 12.732395

which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.

Then use this to find the area of the circle

A = pi*r^2

A = pi*(12.732395)^2

A = 509.295782

This value is also approximate.

When rounding to the nearest whole number, we get A = 509

The area of the circle is about 509 square feet.

The circle has the largest area.

Other Questions
same here, i rlly need help . Carl bought one book for $3.95 and a second book for $4.95. What is his total cost? $9.90 $9.00 $8.90 $7.90 A marble is 2 centimeters long. A rock is 75% longer than the marble. How long is the rock? What is the wavelength of radiation with a frequency of 1.50 x 1013 s-1 It takes less effort to lift a piano with a pulley. If the piano is lifted 3 meters, then...Select one:a. the pulley rope is pulled 1 meter.b. the pulley rope is pulled more than 1 meter, but less than 3 meters. c. the pulley rope is pulled 3 meters.d. the pulley rope is pulled more than 3 meters. Researchers found a fertilizer treatment to have a mean plant height of 76 in. and a standard deviation of 3 in. Find the height of a plant treated with this fertilizer that has a z-score of 0.25. Round to the nearest tenth. What Does The Computer Monitor Contain? i lost my grandma last night what do i do i feel empty an hallow inside 15. Identify What types of bonds are present in an alkyne? AstronomyWhat are some of the differences between building the ISS to be sent out to space and building a large structure that will remain on Earth? Explore and discuss the differences and similarities in the challenges of constructing something on Earth versus something in space. how do you transfer lungs? What is plagiarism?A. Using reliable sources in your paperB. Letting the reader know where you got your information fromC. Providing constructive criticism.D. Using another person's ideas or writing without citing them. Find AUB and AnB for set A and B help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP ASAP PLSSSSSSSSS(image is below)A scatter plot with a line is shown below:Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 1 and 2, 3 and 3, 6 and 4, 6 and 5, 8 and 6, 9 and 7, 10 and 8, 12 and 9, 13 and 10, 15. A line joins ordered pairs 0, 0.5 and 10, 14.8.Which statement is most likely correct about the line? It can be a line of best fit because it is closest to most data points. It can be a line of best fit because it passes through all the data points. It cannot be a line of best fit because it does not pass through all the points. It cannot be a line of best fit because it does not pass through the first and last points. 1. How can you find the area of a circle? The Bipartisan Campaign Reform Act (BCRA) increased an individuals donation to a political party:Select one:a.To 32,400b.To 26,700c.To 2,600d.To 46,200 solve for BC without working out the size of angle A rewrite! Write an new and equivalent equation that is easier to solve Rewrite the sentences:26. I lost my way because I didnt take a map (had)If I