a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?

A Wall That Is 4 Ft. 3 In. Tall Is Next To A Tree. The Figure Shows The Shadows That They Cast. What

Answers

Answer 1

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall


Related Questions

A loan of $20,000 is made at 7% interest, compounded annually. After how many years will the amount due reach $41,000 or more?​

Answers

Answer:

Step-by-step explanation:

11 years

Using the compound interest formula. :

Final amount, A = 41000 or more

Rate, r = 7% = 0.07

Loan amount, P = 20,000

Number of compounding times per period = 1

A = P(1 + r/n)^nt

41000 = 20000(1 + 0.07)^t

41000/20000 = 1.07^t

2.05 = 1.07^t

t = log(2.05) / log(1.07)

t = 10.609727

t = 11 years

Mason bought c chocolates. Cameron bought 20 times as many chocolates as Mason. Write an expression that shows how many chocolates Cameron bought.

Answers

Answer:

20c is the expression


A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.

Answers

9514 1404 393

Answer:

  1/6

Step-by-step explanation:

The slope is the ratio of rise to run.

  slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6

The slope of the hill is 1/6.

In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 71 and a standard deviation of 7. Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's. Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D.

Answers

Answer:

The lowest score on the final exam that would qualify a student for an​ A is 80.

The lowest score on the final exam that would qualify a student for a B is 74.68.

The lowest score on the final exam that would qualify a student for a C is 67.33.

The lowest score on the final exam that would qualify a student for a​ D is 62.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mean of 71 and a standard deviation of 7.

This means that [tex]\mu = 71, \sigma = 7[/tex]

Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's.

This means that:

90th percentile and above: A

70th percentile and below 90th: B

30th percentile to the 70th percentile: C

10th percentile to the 30th: D

Lowest score for an A:

Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*1.28[/tex]

[tex]X = 80[/tex]

The lowest score on the final exam that would qualify a student for an​ A is 80.

Lowest score for a B:

70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.525 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*0.525[/tex]

[tex]X = 74.68[/tex]

The lowest score on the final exam that would qualify a student for a B is 74.68.

Lowest score for a C:

30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.525 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*(-0.525)[/tex]

[tex]X = 67.33[/tex]

The lowest score on the final exam that would qualify a student for a C is 67.33.

Lowest score for a D:

10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.28 = \frac{X - 71}{7}[/tex]

[tex]X - 71 = 7*(-1.28)[/tex]

[tex]X = 62[/tex]

The lowest score on the final exam that would qualify a student for a​ D is 62.

what is the answer
y-11=25-3y

Answers

Answer:

9

Step-by-step explanation:

y-11=25-3y

y + 3y = 25 + 11

4y = 36

y = 36 / 4

y = 9

Hope it will help :)

Plzzzzz help meeee


Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans

Answers

Answer:

ice sheets water vapor, and rivers

Step-by-step explanation:

vote brainiest if this helped

Answer:

c

Step-by-step explanation:

What is the coefficient of the term 12p+9q

Answers

Answer:

The answer is 12.  

Step-by-step explanation:

12 is the coefficient because it is the number multiplied by the variable p in the equation.

I hope this helps u! :D

The number of cell phone tower sites in the United States was 195,613 in
2006. By 2012, the number of cell phone tower sites had increased by 54.3%.
Find the number of cell phone towers in 2012. Round your answer to the
nearest whole number

Answers

Answer:

Step-by-step explanation:

195613(1+.543)

195613(1.543)

301831

A bacteria culture grows at a rate of 16% per hour. If there were 25 bacteria present in the culture to start, how many bacteria are present after one day?

Answers

Step-by-step explanation:

me kuch nhi karunga

When a solid directly changes to gaseous state on heating , without changing to the liquid state , the gaseous material so formed is called?

4 In February, Alec had 1,581 visitors to his website. In March, he had 1,321 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? if necessary, round to the nearest tenth of a percent​

Answers

Answer:

It is 16.4 %

Step-by-step explanation:

Subtract 1581 and 1321 to get how much it decreased.

It decreased by 260 so find what percent of 1581 is 260.

260/1581 = 0.164 which is 16.4 %

I put a random subject but can u please help with this question

Answers

Answer:

Parasitism

Step-by-step explanation:

PLEASE HELP ME!!!!!!!!!!!!!!!!!
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Answers

Answer:

1.8 gallons

SEE NOTE BELOW*

Step-by-step explanation:

2x10x16=320

2x20x10=400

400+320=720

720÷400=1.8 gallons

NOTE* This would be painting the four walls.  If you include the floor and ceiling:

2x16x20=640

720+640=1360

1360÷400=3.4 gallons

The least amount of paint needed to paint the walls of a room in the shape of a rectangular prism is 1.8 gallons (2 gallons approx).

What is rectangular prism?

Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.

The formula to calculate the total surface area of a rectangular prism is given as,

TSA of rectangular prism = 2(lb + bh + lh)

Where, l is length, b is breadth and h is the height of the rectangular prism.

Calculation for the paint required for rectangular prism:

The area of the sides of prism to be painted is

Area A = 2×(length×height) + 2×(breadth×height)

Length = 20 feet

Breadth = 16 feet

Height = 10 feet

A = 2×(20×10) + 2×(16×10)

A = 720 sq. feet

Now, the paint need for painting 400 sq. feet is 1 gallon.

Thus, paint required for 720 sq. feet is,

=> 720 ft² / 400 ft² /gal = 1.8 gal  

Therefore, for painting rectangular prism, the amount of paint required is 1.8 gal.

To know more about the prism, here

https://brainly.com/question/16803016

#SPJ2

Margaret pays $580 per month to rent her apartment. at the beginning of the next year, the apartment complex is increasing its rent 5%. How much will Margaret pay each month to rent the apartment next year.


A $870
B $609
C $596
D $585

Answers

The answer would be
B)-$609 :)

25 = 3x - 5
What does X equal?

Answers

Answer:

The answer is x = 10

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

hoped this helped!

brainly, please?

Answer:

x = 10

Step-by-step explanation:

Step 1: Flip the equation.

3x−5=25

Step 2: Add 5 to both sides.

3x−5+5=25+5

3x=30

Step 3: Divide both sides by 3.

How many parts does the net of a cylinder have?

four
three
two
five

Answers

Answer:

the net of a cylinder has 3 parts to it

Answer:

B three

Step-by-step explanation:

The net of a cylinder consists of three parts: One circle gives the base and another circle gives the top. A rectangle gives the curved surface.

A number is divided into two parts, such that one part is 10 more than the other, if the two parts are in the ratio 5:3, find the number and the two parts.

Answers

Answer:

Step-by-step explanation:

25:15

5x5=25

3x5=15

Plzzzzzz helpppppp!!!!!!

Answers

Answer:

h(x) ≤ 5

Step-by-step explanation:

The function and boundaries given are;

h(x) = x + 2, x < 3

And ;

h(x) = -x + 8, x ≥ 3

Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;

h(2) = 2 + 2 = 4

For the second condition, x ≥ 3. Thus, the maximum value of x is 3.

This means that the maximum value of h(x) here is;

h(3) = -3 + 8 = 5

Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.

Thus,we can say; h(x) ≤ 5

1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?

Answers

Answer: 1.41 seconds

Step-by-step explanation:

The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

[tex](y_f-y_i)=V_it+\frac{1}{2}at^2[/tex]

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

[tex](18-50)=\frac{1}{2} (32.17)t^2\\[/tex]

[tex]-32=-16.085t^2\\t=\sqrt{1.989} =1.41s[/tex]

Marvin was buying soil for his flower garden. What would be the most reasonable amount of soil he would need to buy for a flower garden? A. 6 grams B. 60 liters C. 60 kilograms D. 6,000 kilograms

Answers

Answer:

60 liters

Step-by-step explanation:

Answer:

C. 60 kilograms

Step-by-step explanation:

The person above me is incorrect because liters is used on liquids

A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).

The equation is . Another possible combination is

Answers

Answer:

15

Step-by-step explanation:

pls help math qucikly

Answers

Answer:

1/3

Step-by-step explanation:

CAN SOMEONE PLEASE EXPLAIN WHY THE ANSWER FOR THIS IS 4N+15. THIS IS 10 MINUTES PAST DUE!!! TAKE 20 POINTS​

Answers

the first part of the expression 4n is because n is the amount of almond trees and to find the walnut trees, you need to multiply the number of almond trees (n) by for (4n). you would also add 15 because it says he has 15 more than 4 times as many walnut trees.

so here's the breakdown of the sentence:

Daquan has 15 more than (15 +) 4 times as many (4n) walnut trees in his orchard as he has almond trees.

hopefully this makes sense! have a nice day

Is either x=5 or x=3 a solution to 11- x <7

Answers

Answer:

x = 5

Explanation:

11 - x < 7

11 minus a number is less than 7

Insert 5 into the equation

11 - 5 < 7

Simplify

6 < 7

This is true

Insert 3 into the equation

11 - 3 < 7

Simplify

8 < 7

This is falsex = 5 is a solution to the equation 11 - x < 7

- PacificNorthwest

Answer:

x=5 is the correct answer

Step-by-step explanation:

First we start off to see if x=3 could work (put the x value in)

11-3<7

(11-3=8)

8<7   This is false

Now lets try the other one-

11-5<7

(11-5=6)

6<7

The value x=5 is the correct answer

P.S If you don't mind, could I have brainlest? (if you think my answer is the best)

Need ASAP, please help!

Answers

Answer:  B) 68

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

Explanation:

Segments DB and DC are the same length. This makes triangle BCD to be isosceles. Recall that the base angles of any isosceles triangle are congruent angles. The base angles are opposite the congruent sides.

So because DB = DC, this makes B = C the congruent base angles in question. Let's say they are x for now.

Also recall that for any triangle, the three angles always add to 180 degrees.

B+C+D = 180

x+x+44 = 180

2x+44 = 180

2x = 180-44

2x = 136

x = 136/2

x = 68

So angles B and C, of triangle BCD, are 68 degrees each.

This leads to angle BCD to be 68 degrees as well.

Now we'll turn to the Tangent-Chord Theorem. This says that the angle made between a chord and a tangent is the same measure as the inscribed angle that is opposite the chord.

In this case,

AB is the tangentDB is the chord we want to focus onangle ABD is the angle between the chord and tangentangle BCD is the angle opposite the chord

So because angle BCD is 68 degrees, so is angle ABD.

Solve for y
2(3 + 3y) + y = 11

Answers

EQUATIONExercise

2(3 + 3y) + y = 11

First, apply the distributive property:

2(3 + 3y) + y = 11

6 + 6y + y = 11

6 + 7y = 11

Substract 6 from both sides:

6 - 6 + 7y = 11 - 6

7y = 5

Divide both sides by 7:

[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]

[tex]\boxed{y = \dfrac{5}{7}}[/tex]

Answer. The value of y = 5/7.

The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?

Answers

Arrives in Leeds at 11:50 am

Distance = speed x time

Rearrange the formula

Time = Distance/speed

D = 210 miles; S = 90

Time = 210/90 = 2.33 hours

First add 2 hr and then add 0.33333 hr

9:30 + 2 hr = 11:30

Converting 0.33333 into min

0.33 x 60 = 20 min

11:30 + 20 min = 11:50 am

Figure ABCD is reflected over the y-axis to obtain figure A′B′C′D′ below: A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5. Which statement best describes the relationship between the two figures? Figure ABCD is similar to figure A′B′C′D′. Figure ABCD is bigger than figure A′B′C′D′. The measure of angle D is equal to the measure of angle A′. The measure of angle D is equal to the measure of angle B′.

Answers

Answer:

A. Figure ABCD is similar to figure A′B′C′D′

Step-by-step explanation:

Refer to attached graph

Statements

Figure ABCD is similar to figure A′B′C′D′.

True. Similar sides and congruent angles.

Figure ABCD is bigger than figure A′B′C′D′.

False. They have same area.

The measure of angle D is equal to the measure of angle A′.

False. D is equal to D'

The measure of angle D is equal to the measure of angle B′.

False. D is equal to D'.

Answer:

A

Step-by-step explanation: The Person AbovE Is 100% Right and I can't explain this question any better.

-2/3- (-3/4)

Simplify if needed
Brainliest

Also, 5/6+5/12

Answers

Answer:

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]

Step-by-step explanation:

Given

[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]

Required

Solve:

[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]

Open bracket

[tex]-\frac{2}{3} - (-\frac{3}{4}) = -\frac{2}{3} +\frac{3}{4}[/tex]

Take LCM

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{-8+9}{12}[/tex]

[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12}[/tex]

Take LCM

[tex]\frac{5}{6} + \frac{5}{12} = \frac{10+5}{12}[/tex]

[tex]\frac{5}{6} + \frac{5}{12} = \frac{15}{12}[/tex]

Divide by 3/3

[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]

anyone know which company charges the greatest rate per window?

Answers

Company B costs most per window

Step by step:

company a = 25x + 50

company b = 40x + 15

company c = 35x + 25

6 4/5 as a fraction greater than 1

Answers

Answer:

34/5

Step-by-step explanation:

5/5 x 6 = 30/5 + 4/5 = 34/5

1 < 34/5

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