At a certain time of day, a tree that is x meters tall casts a shadow that is x - 23 meters long. If the distance from the top of the tree to the end of
the shadow is x + 2 meters, what is the height, x, of the tree?

Answers

Answer 1

Answer:

The height, x of the tree is 35 meters

Step-by-step explanation:

use Pythagorean  theory to answer

(x+2)^2= x^2+(x-23)^2

[tex]x^{2}[/tex]+4x+4=[tex]x^{2}[/tex]+[tex]x^{2}[/tex]-46x+529

re-arrange the equation and collect like terms

[tex]x^{2}[/tex]-50x+525=0

(x-35)(x-15)=0

x=15 or x=35

x cannot be 15 because 15-23 is a negative answer

therefore the height of tree is 35 m


Related Questions

Which of the following describes how to write the decimal number six hundred twenty-seven thousandths?

Answers

Answer:

0.627

Step-by-step explanation:

I will turn the word form of the number into decimal form backwards to make it easier:

7 is in the thousandths place

2 is in the hundredths place

6 in the tenths place

0 being in the ones place

That being said, the word form of a number can be turned into number, decimal, percent and fraction forms! Any other problems involving forms of numbers, you can come to me :D

What is x in x^2-x-6=0 pls

Answers

Answer:

x = 2 or -3

Step-by-step explanation:

What is x in x^2-x-6=0 pls

x^2 - x - 6 = 0

x + 2 * x - 3 = 0

x + 2 = 0

x - 3 = 0

x = 2 or -3

Answer:

x= -2 or x= 3

Explanation:

the factors of -6 which sum to -1 are -3 and + 2

(x - 3) (x + 2) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = −2

x − 3 = 0 ⇒ x = 3

How do you figure out division expression with answer of 19.1

Answers

Answer:

its 5823

Step-by-step explanation:

help urself

Complete the chart!! :)

Answers

Answer:

1 foot is 12 inches so 6 feet would be 72 inches

Step-by-step explanation:

12x6=72

Review of Unit 6 Measurement:
Michael bought 42 feet of baseboard trim to put around the edges of his workout
room. He used 39 feet 5 inches, which means he still has 2 feet 7 inches leftover for
another project or to use for a repair, if needed. True or false?
Helpful conversion fact: 1 foot = 12 inches
True
False

Answers

Answer:

True

Step-by-step explanation:

Brought - the amount used

42 feet - 39 feet 5 inches.  

  42 feet 0 inches  =     41 feet 12 inches

 - 39 feet 5 inches  =  - 39 feet 5 inches

                                       2 feet  7 inches

A cheetah can run at its top speed for about 25 seconds. If
the cheetah can run 125 meters in 5 seconds, how far can it
run in 25 seconds? How long will it take it to run 250 meters?
How many meters does it run per second?



No bots plsss

Answers

Answer:

625 meters in 25 seconds

250 meters in 10 seconds

Step-by-step explanation:

125 x 5 = 625

125 x 2 = 250

At a real estate agency, an agent sold a house for $369,000. The commission rate is 4.5% for the
real estate agency and the commission rate for the agent is 25% of the amount the real estate
agency gets. How much did the agency make on the house? How much did the agent earn in
commission?

Answers

$29,700 on the hours, and $79,200 in commission.

I hope i helped! :)

8.6w+2.2(2w-5)=54
help plz
8th grade math

Answers

w = 5

8.6w + 2.2 (2w-5) = 54

8.6w + 4.4w - 11 = 54

13w - 11 = 54

13w = 65

w = 5

Question Help
Writing lan's car can go 245 miles on 7 gallons of gas. During a drive last weekend, lan used
4 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you
were given the distance lan drove last weekend instead of how much gas he used.

He drove _miles.

Answers

He drove 140 miles you take 245 divide by 7 then times by 4

Find the value of the constant term in the expansion of x^4 (x+3/2x^2)^5

Answers

5 is the answer ok I'll explain

A water sprinkler covers the area shown in the figure.
It moves through the covered area at a rate of about 5 per second.
What is the measure of the are covered by the sprinkler?
If the sprinkler starts at the far left position,
how long will it take for the sprinkler to reach
the far right position?

Answers

A water sprinkler has a rotational motion in order to reach a broad area

from its stationary location.

The time it takes the sprinkler to reach the far right position is 36 seconds.

Reasons:

The given parameter are;

The angular speed of the water sprinkler, ω = 5° per second

Location where the sprinkler starts = The far left position

Required:

The time it takes the sprinkler to reach the far right position.

Solution;

The angle covered by moving from the far left to the far right, θ = 180°

Time required is given as follows;

[tex]\omega = \mathbf{\dfrac{\theta}{t}}[/tex]

Therefore;

[tex]t = \dfrac{\theta}{\omega}[/tex]

Which gives;

[tex]t = \dfrac{180 ^{\circ}}{5^{\circ}/s} = 36 \, s[/tex]

The time it takes the sprinkler to reach the far right position, t = 36 seconds.

Learn more here:

https://brainly.com/question/14753185

Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.

Answers

The point of concurrency of the three median is the centroid of the triangle ABC.

The sum of the lengths of AK and BK is 10.06

Reasons:

The given parameters are;

The medians of the triangle ABC = Segments BF, CD, and AE

The  length of segment FK = 3.40

Length of segment EK = 1.63

Required:

The sum of the lengths of segment AK and BK

Solution:

The ratios of the lengths of AK to KE = 2:1

Therefore, we have;

[tex]\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}[/tex]

1.63 × 2 = 1 × AK

AK = 3.26

Similarly, we have;

[tex]\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}[/tex]

3.40 × 2 = BK

6.80 = BK

Which gives;

AK + BK = 3.26 + 6.80 = 10.06

The sum of the lengths of AK and BK = 10.06

Learn more here:

https://brainly.com/question/7856454

3. There were 155 people at the basketball game. Tickets for the
game are $2.50 for students and $4 for adults. If the total money
received for admission was $492.50, how many students and adults
attended the game?

Answers

Answer:

85 students and 70 adults attended the game.

How many students and adults attended the game?

Step-by-step explanation:

Problema Solution

There were 155 people at the basketball game. Tickets for the game are $2.50 for students and $4 for adults. If the total money received for admission was $492.50, how many students and adults attended the game?

Answer provided by our tutors

let

s = the number of student tickets sold

a = the number of adult tickets sold

there were 155 people at the basketball game

s + a = 155

the total money received for admission was $492.50

2.50s + 4a = 492.50

by solving the system of equations

s + a = 155

2.50s + 4a = 492.50

we find

s = 85 students

a = 70 adults

1.25 is closer to 1.04 or not ?
plz heelp

Answers

Nottttttttttttttttttt

Si caminara 1 2/3 alrededor de la jardinera triangular,Cuantos metros recorrería?

Answers

Answer:

0.0423333333 meters

Step-by-step explanation:

When you convert, you will receive the same result.

1. Evaluate |-x - 2y| for x = -2 and y = 3

Answers

Answer:

4

Step-by-step explanation:

x = - 2

y = 3

l - x - 2y l

= l - ( - 2 ) - 2 ( 3 ) l

= l 2 - 6 l

= l - 4 l

= 4

Wha
kind of hard math do they have you doing

Is 2.34 a rational number?

Answers

Answer:

Yes.

Step-by-step explanation:

2.34 is a terminating decimal, meaning that it ends. Therefore, it is rational.

A chemical company makes two brands of antifreeze. The first brand is 40% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?

First brand =
Second Brand=

Answers

Answer:

Step-by-step explanation:

Let x be the portion of 60%

180 - x is the portion of 40%

0.60x + 0.40(180 - x) = 0.55(180)

0.60x + 72 - 0.40x = 99

0.20x = 27

x = 135

180 - 135 = 45

First brand = 45 gallons of 40%

Second Brand = 135 gallons of 60%

The total measure of the three angles of a triangle is 180° is known as ……………………………… property of a triangle.​

Answers

Answer:

Angle sum property

Step-by-step explanation:

This is because one exterior angle is equal to the sum of the other two interior angles.

7x+14y−3y+12x+32y+54x+2x+8y

Answers

Answer:

it would be 75 + 51

hope this helps

136

Step-by-step explanation:

Given the perimeter P and the side B on the following rectangle are as indicated, find the side.

Answers

Answer:

a=7.6

Step-by-step explanation:

Since the perimeter is the length of the circumference, P=2a+2b=2(a+b)

We know b and P and if we do the math we get the answer

The area of Triangle abc is 3cm 4cm 3cm​

Answers

Answer:

Step-by-step explanation:

ASSUMING the given dimensions are the lengths of the legs

we have an equilateral triangle with base 4 and height

h = √(3² - (4/2)²) = √5

A = ½bh = ½(4)(√5) = 2√5 cm²

What is the surface area of a rectangular brick with a length of 12 in, a width of 8 in, and a height of 6 in?

Answers

Answer:

We can apply the formula for surface area of a rectangular prism here. i.e.

Step-by-step explanation:

A=2(l×w + h×l + h×w), where l is length, h is height and w is width.

As mentioned above, length = 12 cm, width = 8 cm and height = 6 cm.

Therefore

2(12×7+6×12+6×8)=2(84+72+48)=2(204)=408. So the surface area of the brick is 408 square centimetres.

Need helppppppppppppppp

Answers

Answer: Try square root for the first one.

Step-by-step explanation: I know a lot about graphs tell me if I am right or wrong. Ok?

#14 A scale drawing of a rectangular room measures 2 cm by 4 and 1/4 cm. E
The scale used for the scale drawing is 1/2 cm = 5 ft. Carpeting will cost
$8.50 a square foot. How much will it cost to buy enough carpet to cover
the floor of this rectangular room? (**numbers and decimal only in answer
** NO $$ NO comma**) *

Answers

Answer:

Step-by-step explanation:

Width

1/2 cm = 5 feet

2cm = x                    Cross Multiply

1/2 x = 2 * 5              Combine

1/2 x = 10                  Multiply both sides by 2

x = 20

Length

1/2 cm = 5 feet

4 1/4 cm = x              Cross Multiply

1/2 x = 4 1/4 * 5         Combine the right

1/2 x = 21.25              Multiply both sides by 2

x = 42.5                    

Room Area

Area = 20 * 42.5

Area = 850 square feet

Cost

1 square foot costs 8.5 dollars.

850 square feet costs 8.5 * 850

850 square feet costs 7225  dollars.

What is the value of the expression when a = 4, b = 3 , and c = 10?

3a4b−c


1

4

6

12

Answers

we have a = 4, b = 3 , and c = 10

So  3a4b−c = 3 x 4 x 4 x 3 - 10 = 134

ok done. Thank to me :>

Question 7 of 15
Which is an equation of the line through (0,0) and (5,-2)?
A. y = 2
B. y = -x
C. y = -2
D. y = x

Answers

... None?

Not A because y = 2 is shown as forever 2 so cannot go through both points.

Not B because y = -x cannot go through (5,-2)

Not C because y = -2 cannot go through (0,0)

Not D because y = x cannot go through (5,2)

no link or bot answer the question

Answers

Answer:

480in

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 * 8 = 48

48 / 2 = 24

because it's half a square

what is another word for Angle 1?

Answers

The angle would be the 3 points surrounding it with the point that the two lines connect to being in the middle:

Angle 1 is GEF

Explain how to compare decimals. Use the numbers 6.75 and 6.732 to
help you explain this process.

Answers

Answer:

6.75>6.732

Step-by-step explanation:

We are given that

6.75 and 6.732

We have to compare two given decimal numbers.

First we convert like decimal number

In 6.75 there are two digits after decimal point.

In 6.732 , there are three digits after decimal point

Therefore, we put zero in 6.75 to convert like decimal number

Now, we get

6.750

Unit place of both decimal numbers are same and tenth place of both decimal number are same.

Now, hundredth place of 6.750 is 5 and hundredth place of 6.732 is 3

5 >3

Therefore, 6.750 is greater than 6.732

6.75>6.732

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