Curtis sees a maple tree and a pine tree in the forest. He knows that the pine tree is 20.68 feet tall. On a sunny day, the shadow of the pine is 4.2 feet long while the maple's shadow is 20.02 feet long. Estimate the height of the maple tree.

Answers

Answer 1
44.9 here you go it’s pretty easy
Answer 2

Answer:

The height of the maple is 98.6 feet

Step-by-step explanation:

Similar Triangles

The triangles formed by each tree's height, their shadow, and the projection of their shadow in the ground are right and similar triangles since the sun has the same elevation at the same time in the same place. It's shown in the image attached.

Curtis sees a maple tree of unknown height Hm and a pine tree of height Hp=20.68 feet.  He also measures the projection of the shadow of the pine of Xp=4.2 feet and the same measure of the maple of Xm=20.02 feet.

Since both triangles are similar, the proportion between their sides is equal, thus:

[tex]\displaystyle \frac{Hm}{Hp}=\frac{Xm}{Xp}[/tex]

Solving for Hm:

[tex]\displaystyle Hm=\frac{Xm*Hp}{Xp}[/tex]

[tex]\displaystyle Hm=\frac{20.02*20.68}{4.2}[/tex]

Hm = 98.6 feet

The height of the maple is 98.6 feet

Curtis Sees A Maple Tree And A Pine Tree In The Forest. He Knows That The Pine Tree Is 20.68 Feet Tall.

Related Questions

What is nearest $ 8.66 to nearest $

Answers

Answer:

$9 I think

Step-by-step explanation:

(hhhhhhhhaahahahahshshahahhaahaaaa

Answer:

$8.66 is rounded to $9

Step-by-step explanation:

When rounding a number, you round to the nearest whole number.

If the last digit is 5 or higher (5,6,7,8,9,) it rounds up

If the last digit is 4 or lower (1,2,3,4) it rounds down

Example:

$7.60 would be rounded to $8 because 6 is higher than 5, or in this case,  60 is higher than 50

$4.40 would be rounded to $4 because 4 is lower than 5, or in this case,  40 is lower than 50

3 - (X - 8) -Y 5 when x= 15 and y=1 ?​

Answers

Answer:

-9

Step-by-step explanation:

i think it's  -10

that's confusing

What is the area of triangle ABC? Round to the nearest tenth of a square unit. Triangle A B C is shown. The length of side A C is 10 and the length of C B is 13. Angle B A C is 64 degrees and angle A C B is 72 degrees. Trigonometric area formula: Area = 54.9 square units 58.8 square units 61.8 square units 64.1 square units

Answers

The area of the given triangle ABC is 61.8 Square units.

What is the area of a triangle?

The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area.

Given that, a triangle ABC. whose side AC is 10 and BC is 13. and two angles ∠ACB and ∠BAC are 72° and 64° respectively. since area of a triangle = 1/2 * multiple of two sides * sin(angle made by those side)

Hence,

area of triangle ABC = 1/2 * AC * BC *sin(∠ACB)

Area of the triangle = 1/2 * 10 * 13 * sin 72° = 61.8

Therefore, the area drawn by the given triangle ABC is 61.8 square units.

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The area of the triangle is A = 61.8 units²

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now ,  length of side AC is 10 and the length of CB is 13.

Angle BAC is 64° and angle ACB is 72°

Now , the area of the triangle is A = ( 1/2 ) x Length x Base ( sin 72° )

A =  1/2 ( 10 ) ( 13 ) sin 72°

A =  61.8 units²

Hence , the area is A = 61.8 units²

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Evaluate the expression when c = 4, d = 1 and e = 10.

d+18

Answers

substitute 1 for d. d+18=1+18=19

Jaylin has a scale model of a train. 2 cm in the model represents 3 feet in a real train. The height of the model train is 10.2 cm. What is the height of the rail train?

Answers

Answer:

the height of the rail train is 15.3 feet

Step-by-step explanation:

The computation of the height of the rail train is given below:

= Height of the model train ÷ 2 cm × real train

= 10.2 cm ÷ 2 cm × 3 feet

= 15.3 feet

Hence, the height of the rail train is 15.3 feet

We basically applied the above formula in order to get the height of the rail train

A two-pound mixture of raisins and peanuts costs $7.50. The raisins cost $3.25 a pound and the peanuts costs $5.75 a pound. How much does each ingredient weight in the mixture?

Answers

he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.

So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.

r=raisins, p=peanuts

(r x $3.25) + (p x $5.75) = $7.50

The weight of the ingredients in the mixture are  1.8 pound and 0.2 pound respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the amount of raisins be x pound,

And, the amount of peanuts be y pound,

Now, the equation for the total amount is given as,

x + y = 2                                  (1)

And, for the cost as,

3.25x + 5.75y = 7.50             (2)

Multiply equation (1) by 3.25 and then subtract from (2) as follows,

3.25(x + y) - (3.25x + 5.75y) = 2 × 3.5 - 7.50

=> -2.5y = -0.5

=> y = 0.2

Then, x + 0.2 = 2

=> x = 1.8

Hence, the weight of raisins and peanuts in the mixture is given as 1.8 pound and 0.2 pound respectively.

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A taxi driver charges $4.00 plus $2.00 per minute. How long was a ride that cost $16.00? Draw algebra tiles to model and solve the equation

Answers

Answer:

12

Step-by-step explanation:

Ginny is making homemade pizzas for her family. The recipe makes 70 ounces of dough, but she made more that to ensure she had enough to feed everyone. She plans to freeze 28 ounces for next week, and the rest of the dough will be split evenly to make 3 pizzas. A. Write an inequality to represent the maximum weight of each pizza. Response area b. Each of Ginny's pizzas will weigh more than Response area ounces.

Answers

Answer:

14 ounce

Step-by-step explanation:

Given that:

Ounces of dough used in making recipe = 70 ounces

Number of ounces frozen = 28 ounces

Number of pizzas made from dough left = 3

Number of ounces left = total made - number frozen

Number of ounces left = 70 - 28 = 42

Weight of pizza made :

Number of ounces left / number of Pizzas made

42 / 3 = 14

Hence, maximum weight of each pizza made will weigh more than 14 ounces

Savannah is planning to buy enough raffle
tickets to have a 10% chance to win the raffle.
If there are 200 raffle tickets being sold, how
many raffle tickets does Savannah need to
hu

Answers

Answer:

20 tickets

Step-by-step explanation:

tickets/total tickets * 100% = 10% chance to win the raffle

x/200*100=10

solve for x

x/200 =  10/100

x = 200(0.1)

x = 20

Find the solution set of the following equations:

2y=2x+7

X=y+2

Answers

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

[tex]\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}[/tex]

Multiply -y+x=2 by 2:  -2y+2x=4

[tex]\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}[/tex]

so adding

[tex]-2y+2x=4[/tex]

[tex]+[/tex]

[tex]\underline{2y-2x=7}[/tex]

[tex]0=11[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}[/tex]

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

Write the equation of the line that passes through the points (-7,0) and (-7, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

X= neg 7
Hope it helps


1. The points on the number line represent the values of four different numbers.

Which point best represents the value of 3?

Help !!


Answers

Answer:

it’s point c

Step-by-step explanation:

it would be 1.7 and point C is closer to that than point B

Hence, point c represents 1.732.

What is line?

It's a long, thin mark formed with a pen, pencil, or other tool.

A line in geometry:

• isn't crooked (no bends),

• lacks thickness

• and goes on forever in both directions (infinitely).

It's a "Ray" with one end and a "Line Segment" with two ends.

Try shifting points A and B around.

How to solve?

We know that [tex]\sqrt{3} =1.7320[/tex]

Given point A,B,C,D hence clearly we can see that point c represents 1.7320...

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Is 2x+3y=24 proportional?​

Answers

Answer:

no

Step-by-step explanation:

if you solved for 'y' you get y = -2/3x + 8 which means the y-intercept is 8 and in order for it to be proportional the y-intercept must be zero

What does 18tt mean?

Answers

Answer:

Definition of 18T - 18T stands for Tatum Airport.

Step-by-step explanation:

I need help ASAP look at the picture for the problem. ​

Answers

Answer:

28.65 yds (If you have to round do 29)

Step-by-step explanation:

a^2 + b^2 = c^2

14^2 + 25^2 = c^2

196 + 625 = 821

since c is squared you have to find the square root of 821

821 squared equals 28.65 yards

PLEASE HELP THIS IS TIMED!!!!!!!!!!!!!!!!!!!! A gumball machine had 78 gumballs. Each person who put a coin into the machine gets 3 gumballs. After a certain number of people got gumballs, there were 54 gumballs remaining. Estimate how many people got gumballs out of the machine.

Answers

Answer:

8 people got gumballs out of the machine.

Step-by-step explanation:

Given that:

Number of gumballs in machine = 78

Number of gumballs on each coin = 3

Number of gumballs left = 54

Let,

x be the number of people who put coin

Gumballs left = Total gumballs - 3*Number of people

54 = 78 - 3x

3x = 78 - 54

3x = 24

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]

Hence,

8 people got gumballs out of the machine.

HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
(BTW I NEED TO ANSWER ALL 4 QUESTIONS)

Answers

Answer:

y= -4x+20

x intercept is 5

y intercept is 20

slope is -4

if she buys three comics she will have $8 left

what is 55 divided by 1/2?? hurry ik ik i'mnot smart but please hurry

Answers

Answer:

110

Step-by-step explanation:

55 times 2/1 = 110 (you flip the fraction and change the sign to multiplication)

Answer:

110

Step-by-step explanation

Help pls i give brainliest

Answers

x = 2

plugging this in shows that
m

Cheddar cheese costs $3.45 per pound. Which equation best represents the total cost, c, of pounds, p, of cheddar cheese?

Answers

Answer:

c = 3.45 * p

Step-by-step explanation:

Since the total cost of Cheddar Cheese is dependant on the number of pounds that are being purchased then to calculate the total cost we would need to multiply the price per pound by the number of pounds being purchased. Therefore, the following equation would best represent the total cost of the cheddar cheese...

c = 3.45 * p

How can you use the relationship between side lengths to determine when 3 lengths form a triangle
HELP PLEASEE

Answers

Answer:

x+4=y+x

Step-by-step explanation:

Help me with this pls

Answers

Answer:

the diameter is 6 units

Step-by-step explanation:

3×2=6

the diameter would be 6 I think

Can someone please help me. I will mark you brainliest !!

Answers

Answer: the first answer choice or (6,4)

Step-by-step explanation:

where they intersect

i will mark you as brainliest PLZ HELP ASAP!!!.........

Answers

Answer:

4th one

Step-by-step explanation:

just do it. i know im right

Please help me with this homework

Answers

Answer:

4^6

Step-by-step explanation:

Answer:

THE ANSWER IS 4^6

Explanation:

=4^(2×3)

=4^6

A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games won? Round your answer to the nearest whole percent.

Answers

Answer:percent increase in the number of games won= 18%

Step-by-step explanation:

Number of game won last year = 11

Number of games won this year = 13

Percent increase = Increase in number of games won/ Number of games won lasT year ) X 100

= (13-11)/ 11 X 100

2/11 X100

=18.18= 18%

At the start of the diet keirin weighted 14 stone 13 pounds three months later he weighted 13 stone 10 pounds there are 14 pounds in a stone.

Answers

Answer:

The amount of weight he has lost in 3 months is 1.215 stone or 1 stone 3 pounds

Step-by-step explanation:

From the above question, we are to calculate the amount of weight he has lost in three months

1 stone = 14 pounds

Let's convert all the weight lost to stone

At the start of the diet keirin weighted 14 stone 13 pounds

14 pounds = 1 stone

13 pounds = x

Cross Multiply

14x = 13

x = 13/14

x = 0.9285714286 stone

Approximately = 0.929 stone

Hence:

14 stone 13 pounds = 14 + 0.929 = 14.929 stone

Three months later he weighted 13 stone 10 pounds

14 pounds = 1 stone

10pounds = x

Cross Multiply

14x = 10

x = 10/14

x = 0.7142857143 stone

Approximately = 0.714 stone

Hence:

13 stone 10 pounds = 13 + 0.714 = 13.714 stone

The amount of weight he has lost is calculated as:

14.929 stone - 13.714 stone = 1.215 stone or 1 stone 3 pounds


In a stationery design, the number of ovals is proportional to the number
of squares. How many squares will there be when there are 75 ovals?
Question Help
When there are 75 ovals, how many squares are there?​

Answers

Answer:

75 ÷k number of squares based on the k value

Step-by-step explanation:

Let us suppose the ovals number be x

And, the square number be y

Now in the case when the ovals number is proportional to the square number

So, it would be defined as

x∝y

And,  

x = ky

Here k is the constant

Now  

If there are 75 ovals,

So, x = 75

Now put this in the above equation  

75 = kx

x = 75 ÷k

What is 9736 multiplied by 704

Answers

Answer:

9736 times 704 is 6854144

Answer:

6854144

explanation:

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Answers

Answer:

[tex]y= 90+15x[/tex]

Step-by-step explanation:

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Step one:

Given data

A babysitter gets paid $60 for 4 hours of work

let us find the pay per hour

pay per hour will be= 60/4

pay per hour will be= $15

let the number of hours be x and the money earned be y

the expression is

[tex]y= 90+15x[/tex]

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