A pole that is 3.2m tall casts a shadow that is 1.29m long. At the same time, a nearby tower casts a shadow that is 39.25m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer 1

Set up a ratio of height over shadow length:

3.2/1.29 = X/39.25

Cross multiply:

1.29x = 3.2 * 39.25

Simplify:

1.29x = 125.6

Divide both sides by 1.29:

x = 97.364 meters

Round to the nearest meter = 97 meters


Related Questions

Find the measure of angle b.


your answer_____

Answers

Answer:

b = 131

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

b+49 = 180

Subtract 49 from each side

b = 180-49

b =131

Answer:

Angle b is 131°

Step-by-step explanation:

Angles on a straight line add up to 180°

To find b add 49 and b and equate it to 180°

That's

b + 49 = 180

b= 180 - 49

b = 131°

Hope this helps you

the square root of 169

Answers

Answer:

The answer is 13

Step-by-step explanation:

You'll say what will you multiply by itself to give you 169.

It will be 13 times itself and it will be =169.

EXTRA POINTS The amount of people diagnosed is 3,131,953 and the amount of deaths is 132,056 what is the percentage of people who die from the disease?

Answers

2.3%

divide the infected number by the deaths. Then move the decimal points to the left.

Answer:

2.3%

divide the infected number by the deaths. Then move the decimal points to the left.

Step-by-step explanation:

Can someone help me out with this please

Answers

Answer:

143.81

Step-by-step explanation:

Trapezoid Area

A = 2b/2 * h

A = 9 + 23/2 * 7

A = 32/2 * 7

A = 16 * 7

A = 112

Semi-circle Area

A = πr²/2

A = π4.5²/2

A = π20.25/2

A = 63.62/2

A = 38.81

Total Area

112 + 38.81

143.81

please is there anyone who can solve it

Answers

Answer:

1/20

Step-by-step explanation:

So, he eats 5/8 of 1/3 of the pizza. That would be 5/8*1/3=5/24

Then, he eats 2/5 of what is left. What is left is 3/8*1/3=1/8.

So, 1/8*2/5=1/20

Therefore, Teddy ate 1/20 of the original pizza

The correct answer is : 1/20


Explain


Part of pizza divide equally


1/number of friends

Part of pizza divide equally = 1/3

Part eaten by teddy for lunch

5/8 of 1/3

5/8 x 1/3 = 5/24


Part of pizza divide equally = 1/3

Part eaten by teddy for lunch = 5/24

Part remaining after lunch : 1/3-5/24


Take common side

1 x 8-5/ 24

8-5/24

3/24

Cancel and factor 3

1/8


Part of pizza divide equally = 1/3

Part eaten by teddy for lunch = 5/24


Part remaining after lunch : 1/8

Part eaten in dinner : 2/5 of 1/8

2/ 5 x 1 / 8

Cancel 2

1/20


Hope this help you :D


Can someone please help me I really need help please help me thank you

Answers

Answer:

m = ½; b = 0

Please mark my answer as brainliest

the equation can be written y=mx+d.so

m=1/2 and d=3

Which of the following equations is not linear?
A. 13x - 12y = 82
B. -6x = y
C. 7 = y
D. y = x² - 2

Answers

Answer:

I think its A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The graph would be a curve because of the exponent.

Step 1: -10 + 8x < 6x - 4
Step 2: -10 < -2x - 4
Step 3: -6 <-2x
Step 4:
What is the final step in solving the inequality -2(5-
4x) < 6x - 4?
0x<-3
X > -3
0x<3
x > 3

Answers

Answer:

Step-by-step explanation:divide both sides by the coefficient of x that is the number beside x and in inequality, when dividing with a negative sign the sign would change to its opposite sign.

-6<-2x

-6/-2>-2x/-2

3>x

X<3 this is the answer.


plz help me 6.5(a - 4)

Answers

Answer:

6.5a-26

Step-by-step explanation:

You have to use the distributive property and multiply each term inside the parentheses by 6.5. By doing this you turn 6.5(a-4) into (6.5)(a)-(6.5)(4). You can then simplify this into 6.5a - 26

Answer:

6.5a-26

Step-by-step explanation:

We are given the expression:

6.5(a-4)

If we want to simplify this expression, then we must use the distributive property.

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

(6.5*a) + (6.5*-4)

Multiply

6.5a+ (6.5*-4)

6.5a+ -26

A +- can be written as just -

6.5a-26

BRAINLIEST!!!! PLEASE HELP ASAP! The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).

Answers

Answer:

248 in²

Step-by-step explanation:

Given the net of the rectangular prism above, to find its surface area, find the length and width of each part of the net, calculate the area of each and add all the areas together.

==>Measurement and areas of each part of the net (note: each small box = 2 in):

There are 6 parts of the net

=>Area of 2 parts:

2 of the parts of the net have the same measurement, L = 6 in, W = 4 in

Area of 2 parts = 2(6*4) = 2(24) = 48 in²

=>Area of 2 parts:

Measurement: L = 10 in, W = 4 in

Area = 2(10*4) = 2(40) = 80 in²

=>Area of 2 parts:

Measurement: L = 10, W = 6

Area = 2(10*6) = 2(60) = 120 in²

Surface area of the prism = 48+80+120 = 248 in²

En una fábrica de pinturas cuentan con un tanque de pintura blanca y otro de pintura azul. El litro de pintura blanca cuesta 4 dólares y el litro de pintura azul, 7 dólares. Si se quiere mezclar ambas pinturas para llenar un tanque de 500 litros de capacidad y además se requiere que la mezcla no cueste más de 6 dólares ni menos de 5 dólares el litro. ¿Cuál de las siguientes inecuaciones te ayuda a calcular cuántos litros de pintura blanca, como máximo, debe tener la mezcla? ("x" representa la cantidad de litros de pintura blanca) 1. (4x + 7x)/500 > 5 2. 4x + 7(500 - x) > 5 3. 4x + 7x > 500 4. [4x + 7(500 - x)]/500 > 5

Answers

Answer:

Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].

Step-by-step explanation:

Esta situación puede ser descrita mediante una ecuación y una inecuación simultánea. La ecuación es de la capacidad del tanque, mientras que la inecuación es del coste unitario de la mezcla. Sean [tex]x[/tex] y [tex]y[/tex] las capacidades empleadas de pintura blanca y pintura azul en litros, entonces:

Capacidad del tanque (en litros)

[tex]x + y = 500\,L[/tex]

Coste unitario de la mezcla (en dólares por litro)

[tex]5\,\frac{USD}{L} < \frac{4\cdot x + 7\cdot y}{500} < 6\,\frac{USD}{L}[/tex]

Es decir:

[tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex]

Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].

There are 6 women and 9 men eligible to be in a committee of 5. Find the expected number of women on the committee given that at least one woman must be on the committee. Round the probabilities of the distribution to four decimal places or keep them as fractions. Round the answer to two decimal places.

Answers

Answer:

P = 0.2517

Step-by-step explanation:

In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)

P (at least one woman) = 6C1 * 9C4 / 15C5

we know that nCr = n! / (r! * (n-r)!)

replacing we have:

6C1 = 6! / (1! * (6-1)!) = 6

9C4 = 9! / (4! * (9-4)!) = 126

15C5 = 15! / (5! * (15-5)!) = 3003

Therefore it would be:

P (at least one woman) = 6 * 126/3003

P = 0.2517

That is, approximately 1 out of 4 women.

Please help with this 3a² = 27. Find a

Answers

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex]3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3[/tex]

Answer: 9

Step-by-step explanation:

First divide both sides by 3

[tex]a^2=9[/tex]

Then root both sides([tex]\sqrt{a^2}=\sqrt{9}[/tex])

a = 9

Hope it helps <3

Edit: :o this is my 250th answer

Which of these sets of side lengths are pythagorean triples!

Answers

Hey there! :)

Answer:

Choices 1, 4 and 5.

Step-by-step explanation:

To solve, we can go through each answer choice and check if they are Pythagorean Triples using the Pythagorean Theorem:

1) 26² = 10² + 24²

676 = 100 + 576

676 = 676. This is correct.

2) 49² = 14² + 48²

2401 = 196 + 2304

2401 ≠ 2500. This is incorrect.

3)

16² = 12² + 9²

256 = 144 + 81²

256 ≠ 225. This is incorrect.

4)

41² = 40² + 9²

1681 = 1600 + 81

1681 = 1681. This is correct.

5)

25² = 15² + 20²

625 = 225 + 400

625 = 625. This is correct.

Therefore, choices 1, 4 and 5 are correct.

Answer:

A, D, and E.

Step-by-step explanation:

Morgan set up a Web site and kept track of how many people clicked on it. By the end of the second day, the Web site had received 4 clicks and by the end of the fourth day, it had received 16 clicks.

She wrote two functions f(d) to model the number of clicks, where d is the number of days since she set up the Web site. One of the functions is exponential, and the other is linear.

Drag equations and statements to the table to show the functions she wrote and to show which function has the greater initial value and the lesser initial value

Answers

Answer:

Exponential function:

[tex]f(d) =2^d[/tex]

Linear function:

[tex]f(d) = 2\times f(d-1)[/tex]

Step-by-step explanation:

Given that:

Number of clicks by the end of 2nd day = 4

Number of clicks by the end of 4th day = 16

To find:

The function f(d) to model number of clicks in exponential and linear form.

Solution:

Given that with a value d = 2, f(d) = 4 and

d = 4, f(d) = 16

4 is [tex]2^{2}[/tex]

and 16 is [tex]2^{4}[/tex]

We can see that 2 has a power 'Number of days'.

So, exponential function can be written as:

[tex]f(d) = 2^d[/tex]

As per the pattern given, at the end of 2nd day, there are 4 clicks

by the end of 3rd day there will be 8 clicks and

by the end 4th day it has 16 clicks.

It means that by the end of present day the number of clicks have doubled than that of clicks by end of previous day.

So, we can write the function

[tex]f(d) = 2\times f(d-1)[/tex]

So, the answer is:

Exponential function:

[tex]f(d) =2^d[/tex]

Linear function:

[tex]f(d) = 2\times f(d-1)[/tex]

Answer:

look at the image below

Step-by-step explanation:

imagine math

Destiny draws the lagrest circle she can inside of a square. The circle has a diamater of 12 in. The square is 12 in. By 12in. What is the area of the square Not covered by the circle

Answers

Answer:

30.96 [tex]in^2[/tex]

Step-by-step explanation:

Given that

Side of square = 12 in

Diameter of circle = 12 in

We know that, radius is half of diameter,

So, r = 6 cm

We have to find the area of square which is not covered by the circle.

i.e. Required Area = Area of Square - Area of Circle

Please refer to the attached to have a better understanding of the given situation.

Formula:

Area of square = [tex](side)^2[/tex]

Area of circle = [tex]\pi r^2[/tex]

Required Area = [tex]12^2[/tex] - [tex]\pi \times 6^{2}[/tex]

[tex]\Rightarrow 144 - 3.14 \times 36\\\Rightarrow 144 - 113.04\\\Rightarrow 30.96\ in^2[/tex]

So, the answer is 30.96 [tex]in^2[/tex].

PLEASE HELP ASAP!:

Solve for a and b
6a-b=-5
4a-3b = -8

Answers

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in a to find b

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

True or False? When Samantha includes more batteries in her project, the current in her project increases. Current is the independent variable in this situation. True False

Answers

Answer:

FALSE

Step-by-step explanation:

Since what Samantha is doing (varying) by including more batteries in her project, the number of batteries is the variable that she manipulates at her wish. So this is the independent variable.

The current increasing is the result to the changes she had made modifying the independent variable (number of batteries), therefore the current is the DEPENDENT variable (dependent on the number of batteries used).

So the statement is FALSE

Answer:

False

Step-by-step explanation:

HELP!!! What is the MAD for these numbers? 5 22 14 13 18 7 9 12

Answers

Answer:

4.25

Step-by-step explanation:

Answer:15 I think

Step-by-step explanation:

PLEASEEEEEE HELP MEEEEE 100 points!!!!!!!!!!!! The map shows the location of a mall, library, and school in a city: Coordinate grid shown from negative 12 to positive 12 on x axis at intervals of 2, and negative 12 to positive 12 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 10, 10 , Mall is the ordered pair 10, 10, and School is the ordered pair 10 and negative 11. Sarah traveled from the school to the mall and then from the mall to the library. Bret traveled from the school to the library. How many miles did Sarah and Bret travel altogether? (1 point) Select one: a. 12 miles b. 29 miles c. 41 miles d. 70 miles

Answers

Sarah: School to mall = 21

           mall to library = 20

Total distance for Sarah = 20 + 21 = 41 miles.

Use the Pythagorean theorem to find the distance Bret traveled:

Distance = SQRT(21^2 + 20^2)

              = sqrt(441 + 400)

              = sqrt(841)

              = 29 miles

Total distance  = 41 + 29 = 70 miles

Answer is D. 70 miles.

Answer:

70

Step-by-step explanation:

i took the test

A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.007x2 + 0.003.x
How long, in seconds, will it take the computer to sort 15 objects?

Answers

Answer:

it will take 0.056025 seconds to complete

Step-by-step explanation:

Here, we want to know the amount of time it will take. the computer to sort 15 items.

What to do here is simply substitute the value of 15 for x

Thus, we have

t = 0.007(15)^2 + 0.003(15)

t = 0.011025 + 0.045

t = 0.056025

answer: 1.62

step-by-step explanation: apx :)

and check your answers. At the end of the activity, write a brief evaluation of your work.
Activity
Yolanda is filling her bathtub. The table shows the number of gallons of water in the
bathtub at different times since she started filling it.
Time
(minutes)
Water
(gallons)
16.50
1
1.5
24.75
2.
33
Answer the following questions based on the information in the table.
Part A
Find the constant of proportionality (in gallons per minute) using the values in the first
row of the table.

Answers

Answer:

16.5 gallons per minute.

Step-by-step explanation:

The given table is:

[tex]\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}[/tex]

We are given this linear function in the form of table.

Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.

We can use slope intercept form to find the equation.

[tex]y=mx+c[/tex]

Slope of a function:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50[/tex]

[tex]m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5[/tex]

This slope is the constant of proportionality.

i.e. the rate at which the number of gallons are changing per minute.

So, the answer is 16.5 gallons per minute.

Which is a sign of deductive reasoning?

A). Ali notices that a plant grows 2 inches each week. Nikki has a plant, so it must grow 2 inches each week.

B). Bruce asks his friends what kind of music they like best. They all say rock, so everyone in the world likes rock music best.

C). All even numbers are divisible by 2. The number 18 is even, so it is divisible by 2.

Answers

Answer:

C).

Step-by-step explanation:

In A and B  they  are making generalisations . Their deductions are not valid.

Which binomial is a factor of 9x2 - 64?
COM
3x - 8
9x - 32
3x + 32
9x + 8

Answers

Answer:

3x - 8

Step-by-step explanation:

9x² - 64 is a perfect square binomial

3x - 8 and 3x + 8 are the factors

First factor the 2nd degree polynomial.

[tex]9x^2-64=(3x-8)(3x+8)[/tex]

We find that polynomial is factored to two binomials:

[tex]3x-8[/tex][tex]3x+8[/tex]

Hope this helps.

What is the equivalent expression of 8x3 - 8?

Answers

Step-by-step explanation:

[tex]8x^3-8=2^3x^3-2^3=(2x)^3-2^3\\\\\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\=(2x-2)\bigg((2x)^2+(2x)(2)+2^2\bigg)\\\\=(2x-2)(4x^2+4x+4)\\=2(x-1)(4x^2+4x+4)\\=4(2x-2)(x^2+x+1)\\=8(x-1)(x^2+x+1)[/tex]

The equivalent expression of 8x³ - 8 is 8(x-1) (x² + x +1)

How to arrive at the above expression

8x³ - 8 = 2³ x³ -2³  

=  (2x)³ - 2³

Using a³ -b³ = (a - b) (a² + ab + b²)

= (2x -2) ((2x)² + (2x) (2) + 2²))

= (2x -2) (4x² + 4x + 4)

= 2(x-1)(4x² + 4x + 4)

= 4(2x -2) (x² + x +1)

= 8 (x-1) (x² + x +1)

Learn more about expression  at:

https://brainly.com/question/1859113

#SPJ2

is 0.14 rational and irrational

Answers

Answer:

Rational.

Step-by-step explanation:

Irrational numbers are real numbers that can't be written as fractions.

One clue is that the decimal goes on forever (doesn't terminate) without repeating. (pi)

.14 can be written as a fraction: 14/100

Answer:

It's rational

Step-by-step explanation:

Because irrational numbers cannot be written s a fraction and rational numbers can

(1) 10x’y' + 15xy? :

Answers

Answer:

factor: 5(2x'y'+3xy)

Step-by-step explanation:

thats for factoring, i didnt know what you needed

Answer:

25xy

Step-by-step explanation:

collect like terms

Solve each equation for the specified variable dx + t =10 solve for x

Answers

Answer:

dx + t = 10

dx = 10 - t

x = (10 - t) / d

Answer:

[tex]x=\frac{10-t}{d}[/tex]

Step-by-step explanation:

[tex]dx + t =10[/tex]

Add [tex]-t[/tex] on both sides.

[tex]dx + t -t=10-t[/tex]

[tex]dx=10-t[/tex]

Divide both sides by [tex]d[/tex].

[tex]\frac{dx}{d} =\frac{10-t}{d}[/tex]

[tex]x=\frac{10-t}{d}[/tex]

Given that (-1,9) is on the graph of f(x), find the
corresponding point for the function
f(x) + 5

Answers

Answer:

I think -1,14

Step-by-step explanation:

Because you add 5

Hi Plato/Edmentum Users!

The other person is correct!

A SQUARE CARPET IS LAID IN ONE CORNER OF A RECTANGULAR ROOM, LEAVING STRIPS OF UNCOVERED FLOOR 2M WIDE ALONG ONE SIDE AND 1M ALONG OTHER . THE AREA OF THE ROOM IS 56m SQUARED .FIND THE DIMENSIONS OF THE CARPET

Answers

Answer:

Step-by-step explanation:

A square has equal sides. Let x represent the length of each side of the square carpet. The diagram representing the room and the carpet is shown in the attached photo. Therefore, the length of the room would be (x + 2)m while the width of the room would be (x + 1)m

Since the area of the room is 56m², it means that

(x + 2)(x + 1) = 56

x² + x + 2x + 2 = 56

x² + 3x + 2 - 56 = 0

x² + 3x - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0 or x + 9 = 0

x = 6 or x = - 9

Since the dimension of the carpet cannot be negative, then x = 6

The dimension of the carpet is 6m × 6m

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