One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is formed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?

Answers

Answer 1

Answer:

21 feet

Step-by-step explanation:

To solve this question, we would be using the proportion

Shadow /Height

From the question:.

Manny's shadow = 414 feet

Manny's Height = 512 feet

Height of the tree = ? = x

Shadow of the tree = 17 feet

Hence:

414/512 = 17/ x

Cross Multiply

414 × x = 512 × 17

x = 512 × 17/414

x = 21.024154589 feet

x ≈ Approximately = 21 feet

The height of the tree = 21 feet

Answer 2

The height of the tree is 21 feet.

Given that,

Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. Here we assume the height be x

Based on the above information, the calculation is as follows:

[tex]414\div 512 = 17\div x\\\\414 \times x = 512 \times 17\\\\x = 512 \times 17\div 414[/tex]

x = 21.02

= 21 feet

Therefore we can conclude that the height of the tree is 21 feet.

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Related Questions

Which algebraic expression has like terms?
9n7 - 2n+3-4112
7 + 3n-3-672
7n+4n-3m-6n?
612 -4n4+6n-5772

Answers

Answer:

the answer is 612 -4n4+6n-5772

The expression that has like terms is (C) 7n+4n-3m-6n.

What is an expression?

An expression can be as simple as a single number or variable, or it can be more complex, involving multiple operations and variables.

For example, the expression "3x + 4" contains the variable x, along with the constant values 3 and 4, and the operations of multiplication and addition.

Like terms are terms that have the same variables raised to the same powers.

In the first expression, 9n^7 and -2n have different powers of n, so they are not like terms. The constant term, -4112, is also not like any other term.

In the second expression, 3n and -3 are like terms, as they are both constants with no variables.

In the third expression, 7n, 4n, and -6n are all like terms because they all have the same variable, n, raised to the first power.

In the fourth expression, -4n^4 and 6n have different powers of n, so they are not like terms. The constant term, 612-5772=-5160, is also not like any other term.

Therefore, the expression that has like terms is (C) 7n+4n-3m-6n.

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procedure you are to give the scientific explanation to clarify the belief of the people in your locality and phenomena

1.red sky in the afternoon sunset
2. rainbows only appear after the rain
3. there's a pot of gold at the end of the rainbow​

Answers

1.) As the sun light travels along path through as atmosphere to reach our eyes, the blue light has been mostly remove living mostly red and yellow light remain since red light waves are scattered the list by atmospheric gas molecules

2.) Rainbows are formed when it’s misty or spray the sky with water. It’s not solely just from after a rain; you only need water that can act at as prism and light to shine to create a rainbow.

3.) Having gold at the end of rainbow is just a myth since you can never reach the end of the rainbow. A rainbow is caused by dispersion of light in water droplet which is why they occur when sun comes out after rain.

A student measures the wingspans of 40 local dragonfly specimens selected at random. The sample mean is 6.8 centimeters with a margin of error of 0.9 centimeters. Based on this information, what are plausible values for the mean wingspans of the population of local dragonflies?

Explain or show your reasoning.

Answers

Answer:

6.8 - 0.9 = 5.9

Step-by-step explanation:

5.9 is the only average that seemed reasonable. Hope I helped.

According to the margin of error, it is found that plausible values for the mean wingspans of the population of local dragonflies are between 5.9 and 7.7 cm.

What is the margin of error of a measure?

It is about how much the measure can plausibly differ from the sample mean.

In this problem, considering the sample mean of 6.8 cm and the margin of error of 0.9 cm, the bounds of plausible values are given by:

6.8 cm - 0.9 cm = 5.9 cm.6.8 cm + 0.9 cm = 7.7 cm.

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Write the following expressions in Standard form

-3•2•a+5(7b)+(12•c•4)

Answers

-6a+35b+48c would be the answer

13 erasers in your backpack is considered
a what?

Answers

Hoarder of erasers :o

Is this suppose to be a riddle or sum

The reciprical of 312-938 is what number? If 23-3x=2 then x=y for 3

Answers

Answer:

-1/626 and for 23-3x=2   x=7

Step-by-step explanation:

Nathaniel invests money in an account paying a simple interest of 6% per year. If he invests $90 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?

Answers

Answer:

95.40 total and 5.40 in intreset

Step-by-step explanation:

Answer:

A = $95.40

I = A - P = $5.40

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 90(1 + (0.06 × 1)) = 95.4

A = $95.40

The total amount accrued, principal plus interest, from simple interest on a principal of $90.00 at a rate of 6% per year for 1 years is $95.40.

Cory made 4,500g of candy He saved 1 kg to eat later. He divided the rest of the candy over 7 bowls to serve at his party.
How many grams of candy did Cory serve in each bowl?

Answers

Answer:

In each bowl, Cory put 500 grams of candy.

Step-by-step explanation:

You would do 4,500 - 1 (since he save a kilogram for himself), which would equal 3,500.

Then, you would do 3,500 divided by 7 (since there are 7 bowls and he wants to split the remaining candy evenly), which would equal 500.

Answer:

Cory served 500 grams of candy in each bowl.

Step-by-step explanation:

4,500 = 4.50 kilograms

4.50kg - 1.00kg = 3.50kg

3.50kg ÷ 7kg = 0.50kg

0.50kg = 500g

BRAINIST & 20 POINTS!!

Answers

Answer:

y=2/3x-5

Step-by-step explanation:

First, let's put this equation into slope-intercept form.

2x-3y=24

-3y=-2x+24

y=2/3x-8

For two lines to be parallel, they must have the same slope. Therefore our slope is 2/3.

Now, we must find b. To do that we can plug the y and the x in.

-7=2/3(-3)+b

-7=-2+b

-5=b

y=2/3x-5

Answer:

y = [tex]\frac{2}{3}[/tex]x - 5

Step-by-step explanation:

Points: (-3, -7)

Equation: 2x - 3y = 24

2x - 3y = 24

-3y = -2x + 24

y = [tex]\frac{2}{3}[/tex]x - 8

y = [tex]\frac{2}{3}[/tex]x + b

-7 = [tex]\frac{2}{3}[/tex] ( -3 ) + b

-7 = -2 + b

b = -5

y = [tex]\frac{2}{3}[/tex]x - 5

if x2=18x+y and y2=18y+x, then find the value of root

Answers

Answer:

[tex]\sqrt{x^2+y^2+1}=18[/tex]

Step-by-step explanation:

We are given:

[tex]x^2=18x+y\qquad\qquad[1][/tex]

[tex]y^2=18y+x\qquad\qquad[2][/tex]

Subtracting [1] and [2]:

[tex]x^2-y^2=18x+y-(18y+x)[/tex]

Operating:

[tex]x^2-y^2=18x+y-18y-x[/tex]

Recall:

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

Substituting:

[tex](x-y)(x+y)=18x+y-18y-x[/tex]

Rearranging:

[tex](x-y)(x+y)=18x-18y-(x-y)[/tex]

[tex](x-y)(x+y)=18(x-y)-(x-y)[/tex]

Dividing by x-y (recall x≠y):

[tex]x+y=18-1=17[/tex]

[tex]x+y=17\qquad[3][/tex]

Now we add [1] and [2]:

[tex]x^2+y^2=18x+y+18y+x[/tex]

Rearranging:

[tex]x^2+y^2=18x+18y+x+y[/tex]

[tex]x^2+y^2=18(x+y)+(x+y)[/tex]

[tex]x^2+y^2=19(x+y)[/tex]

Substituting from [3]

[tex]x^2+y^2=19*17=323[/tex]

Adding 1:

[tex]x^2+y^2+1=324[/tex]

Taking the square root:

[tex]\sqrt{x^2+y^2+1}=\sqrt{324}=18[/tex]

Thus:

[tex]\mathbf{\sqrt{x^2+y^2+1}=18}[/tex]

A store donated cases of crayons to a daycare center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How many crayons did the center receive?

Answers

Answer:

192

Step-by-step explanation:

Just multiply 24 by 8.

I think thats it tho.

Answer:

I think its 192

Step-by-step explanation:

you just do 24 times 8

can someone help me with this please

Answers

Answer:

x<-4

Step-by-step explanation:

First you have to add 4 by both sides, which will give you 8x<-32.

Then  just divide both sides by 8 and you should get the same answer.

so first you start off by setting up the problem and then subtracting 4 from both sides and then divide 8 on both sides to get the answer

Need help pleaseeee.

Answers

Answer:

m angle B=141

Step-by-step explanation:

a 7 sided shape has 900 total degrees

subtract all the known angkes to find your answer

900-90-148-142-130-129-120=141

hope this helps :)

PLEASE ANSWER what is the solution to -10k +1 <-99 or 10-8k<42

Answers

Answer:

Ummmm... Both?

Step-by-step explanation:

66k+9 OR 3(22K+3)

Answer:

k>10

k>-4

Step-by-step explanation:

-10k<-100

k>10

you flip the sign when dividing by a negative

-8k<32

k>-4

One third of a number T is equal to 12???

Answers

Answer:

1/3×t=12

t=3×12

t=36

Step-by-step explanation:

need thanks for the answer.

Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P=108−23d P = 108 − 23 d , where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?

Answers

Answer:

What 108 represents here is that the total number of phones she has to fix each week is 108 phones

Step-by-step explanation:

The linear equation is

P = 108-23d

compare this with the general form;

y = mx + c

we have;

P = -23d + 108

We can see that 108 represents the y-intercept in this case

The x-value at the y-intercept is 0

So what this mean is that the number of phones she has to fix each week is 108

Write an algebraic equation that relates the Profit to the Number of T-Shirts Sold. Use n to represent T-Shirts and p to represent the Profit.

Answers

Answer:

y= 3x -5

Step-by-step explanation:

since when x is 0, and y is -5, you know that the y intercept is -5.

look at the table

1x -5 = -2

x= 3

Boom.

LONG LIVE KOREA!

Simplify Negative 3 over 2 ÷ 9 over 6 . (5 points) -4 -1 4 1

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] ÷ [tex]\frac{9}{6}[/tex]   = [tex]\frac{3}{2}*\frac{6}{9}\\[/tex]

         = [tex]\frac{18}{18}[/tex]

         = 1

Use KCF method,

Keep the first number.

Change the division to multiplication

Flip the second number

Answer:

sorry dude i need thos points

Step-by-step explanation:

7X-2=19
7x=19+2
7x=21
X=3
How do I verify this answer?

Answers

Answer:

to verify this answer you need to substitute the answer you got for x

Step-by-step explanation:

7(3)-2=19

21-2=19

19=19

this means that you are correct

parallel ,perpendicular, neither y=4x+5 and -4x +y=-13

Answers

Answer:

here,

slope of line y=4x+5(m1)=-a/b

=4

slope of line -4x+y=-13(m2)=-a/b

4

here m1=m2 so,these are parallel to each other.

Simplify the ratio

30:42


• 5/7

•30/42

• 30 to 42

•7/5

Answers

5/7 is gonna be your answer

Which graph shows only a reflection?

Answers

Answer:

D BOTTOM RIGHT

Step-by-step explanation:

Has to be (d) bottom right

Coach Teague is making breakfast for his 6 family members. He is making bacon and omelets. Each omelet needs 3 eggs, how many eggs does he need?

Answers

Answer:

18 eggs

Step-by-step explanation:

6 family member has 1 omelet, each omelet needs 3 eggs, 6 x 3 = 18 eggs :D

What percent is represented by the shaded portion on this 10 × 10 grid? A grid model has 100 squares. 76 squares are shaded. StartFraction 7.5 Over 100 EndFraction percent StartFraction 75 Over 100 EndFraction percent 7.5% 75%

Answers

Answer:

either b or d

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

A baby giraffe has a mass of 12 Kg. How many grams is the baby girafe?

Answers

Answer:

The answer is that the baby giraffe is 12,000 grams.

Please mark this as brainliest, thx. :)

are the lines y=x+4 and y=x-2 perpendicular

Answers

Answer:

no they are parallel because the slope is the same they just are at different y- intercepts

Elizabeth uses 34.95 ounces of granola for 15 servings of trail mix. If each serving contains the same amount of granola, how much granola is in each serving?

Answers

Answer:

2.33 ounces

Step-by-step explanation:

Given that:

Ounces of granola used = 34.95 ounces

Number of servings of trail mix = 15 servings

Since each serving contains the same amount of granola :

Amount of granola in each serving :

Ounces of granola used / Number of servings

34.95 / 15

= 2.33 ounces of granola per serving

The parking lot charges 75 cents for each half hour or part of a half hour. If Edie parks her car in the lot from 10:45 am until 1:05 pm, how much money will she pay?​

Answers

Answer:

she will pay $3.75

Step-by-step explanation:

The cost of renting a jet ski for a certain number of hours can be modeled by
y=40x+50.

How much does it cost per hour?

Answers

It costs 40 dollar per hour!

What are the area and perimeter of square TUVW?
Area=
Perimeter=​

Answers

Answer:

Area: 196

Perimeter: 56

Step-by-step explanation:

1. Pick a side for both length and height and count the distance between the two coordinates (for example VU and UT)

VU = 14

UT= 14

Also important to note here that you don't even need to count the distance for both because since it's a square, all the sides are the same. Only did this to make it easier to understand the next step.

2. Since it's a square, as I said before, all sides are the same. So, you can go ahead and mark WT and VW as 14 as well.

3. To get the area, use the formula base times height.

14 x 14 = 196

4. For perimeter, simply add up all the sides (or multiply 14 by 4 since all are the same)

14+14+14+14=56

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