A vertical stick 12 m long casts a shadow 8 m long on the ground. At the same time a tower casts the shadow 40 m long on the ground. The height of the tower is : *

Answers

Answer 1

Answer:

60m tall

Step-by-step explanation:

Since this is a ratio problem and we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the height of the tower which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...

12m height  <======>  8m shadow

x   height   <======>  40m shadow

(40m * 12m) / 8m = 60m height

Finally, we can see that the height of the tower is 60m tall.


Related Questions

HELP ITS URGENT!!!!! ONLY PEOPLE WHO WILL HELP!!! PLEASE I NEED HELP! 50 POINTS

Answers

Ansta c

es decir la pendiente es -1/3 y la intersección con el eje y es -2/5 segun mis calculoslanation:

Answer:not sure

Step-by-step explanation:

This was my bad place in mathe

Solve the following equation to find the value of x -3x + 4= 16

Answers

Answer:

4

Step-by-step explanation:

Rob can lift less than 135 pounds at the weight room. There is already 48 pounds of weights on the bar. Write an inequality that shows the additional weight that Rob can add, w, without being over his maximum.

Answers

Answer:

[tex]x + 46 < 135[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Weight = 48lb[/tex]

He can lift less than 135 implies that, his maximum is:

[tex]Total < 135[/tex]

Required

Determine the additional weight

Let the additional weight be x

Such that

[tex]Total = x + Initial\ Weight[/tex]

[tex]Total = x + 46[/tex]

Substitute x + 46 for Total in [tex]Total < 135[/tex]

[tex]x + 46 < 135[/tex]

Hence, the inequality that describes the scenario is: [tex]x + 46 < 135[/tex]

Determine the values of X

Answers

66+52+x=180
118+x=180
x=180-118
x=62


Hope this helps :)

Step-by-step explanation:

x+66+52=180

x=180-66-52

x=180-118

x=62

PLEASE HELP
find the first 5 terms in the sequence
A) 6, 12, 24, 48, 96
B)1, 2, 3, 4, 5
C)6, 7, 8, 9, 10
D) 6, 11, 21, 41, 81

Answers

Answer:

The first five terms are 6, 11, 21, 41, 81 ⇒ D

Step-by-step explanation:

∵ The rule of the sequence is a(1) = 6; a(n) = 2 a(n - 1) - 1 for n ≥ 2

∴ The first term of the sequence is 6

∴ The value of n represents the position of the term

∵ n = 2

∴ a (n - 1) = a(2 - 1) = a1

∵ a1 = 6

→ Substitute a1 by 6

∴ a(2) = 2(6) - 1 = 12 - 1

a(2) = 11

∵ n = 3

∴ a (n - 1) = a(3 - 1) = a2

∵ a2 = 11

→ Substitute a2 by 11

∴ a(3) = 2(11) - 1 = 22 - 1

a(3) = 21

∵ n = 4

∴ a (n - 1) = a(4 - 1) = a3

∵ a3 = 21

→ Substitute a3 by 21

∴ a(4) = 2(21) - 1 = 42 - 1

a(4) = 41

∵ n = 5

∴ a (n - 1) = a(5 - 1) = a4

∵ a4 = 41

→ Substitute a4 by 41

∴ a(5) = 2(41) - 1 = 82 - 1

a(5) = 81

∴ The first five terms are 6, 11, 21, 41, 81

Write an algebraic expression for the verbal expression.
x more than 7
Help meeeee

Answers

Answer:

x + 7

Step-by-step explanation:

Step 1: Translate

x = x

more than = addition (+)

7 = 7

Step 2: Combine

x + 7

Answer:

y = 7 + x

Step-by-step explanation:

If we have the number 7 and what x more we can represent that with 7 + x. The total can be repesented as y. So your answer is 7 + x or y = 7 + x.

Hope that helps!

Which of these sequences has the largest common difference?
-2, 1,4,7, ...
3, 5, 7, 9, ...
8, 9, 10, 11, ...
4, 3, 2, 1, ...

Answers

Answer:

i think it is the first one

Step-by-step explanation:

I think

what value of x makes the equation true ?

Answers

Answer:

x = -7

Step-by-step explanation:

You have to set up an algabraic equasion

2x + 3 = x - 4

-7 = x

Which equation can be used to find 40 percent of 25?
25+ 1 25
401 40
100x4 400
40x4 16
40x4 180
25%4 100
404
100_4 25

Answers

Answer:

Yo tengo 10 años y eso da 1,190

Step-by-step explanation:

17-5(2x-9)=-(-6x+10)=

Answers

The correct answer would be 10.5

I have a diameter of 25.6, what is the circumference ?

Answers

Answer:

2π *r = C

2π *12.8 = 80.4248

Step-by-step explanation:

R would be half of diameter 25.6/2 =12.8

the following statement are true about complex fraction,except?​

Answers

You didn’t even put the choices...

Step-by-step explanation:

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples: {\displaystyle {\tfrac {1}{2}}}{\tfrac {1}{2}} and {\displaystyle {\tfrac {17}{3}}}{\displaystyle {\tfrac {17}{3}}}) consists of a numerator displayed above a line (or before a slash), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

Hello, can someone help me with this? Thank you.

Answers

Answer:

(x, y) → (2x - 2, 2y - 1)

Step-by-step explanation:

The original length from Point E to Point G was 2. The length after the figure was transformed is 4. This means that the value of x was multiplied by 2 because 2(the original value) multiplied by 2 equals 4(the new value.)

After the x value is doubled, Point E is found at x = 0 when the transformed Point E is at x = -2. This tells us that the x value has to decrease by 2 after it is doubled.

The original length from Point F to Point H was 4. The length after the figure was transformed is 8. This means that the y value doubled in value, which is the same as saying it was multiplied by 2.

After you double the y value, Point F is found at y = 9, but the fully transformed figure's Point F is found at y = 8. This means that after the y value is doubled it should decrease by 1.

I hope this helps, and let me know if you have any other questions :)

An inconsistent, independent system of equations is a system with______.
A. Intersecting lines that have the same slope but different y intercepts
B. Intersecting lines that have the same slope and the same y intercept
C. Intersecting lines that have different slopes and different y intercepts
D. Only one line

Answers

You write something wrong

An inconsistent, independent system of equations is a system with not intersecting lines that have the same slope but different y intercepts.

Mr Chin bought 3.8 kg of candy, nearest to
100g. What is the least amount of candy in the
bag to nearest kilogram.

Answers

To do this you need to find the lower bound
The lower bound is the minimum amount that would round up to the estimated value

3.8kg, measured to the nearest 100g
The degree of accuracy is to the nearest 100g
100/2 = 50g (0.05kg)

Lower bound 3.8 - 0.05 = 3.75kg

Therefore the least amount of candy you could have in the bag is 3.75kg

Consider f(x)=2|x|
What is the rate of change over the interval 0≤x≤4?

How is the rate of change over this interval related to the form of the function?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

As we know that the average rate of change of f(x) in the closed

interval [a, b] is

[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]

Given the interval [a, b] = [0, 4]

as

[tex]f(x)=2|x|[/tex]

[tex]f(b)=f(2)=2\cdot \:4[/tex]       ∵  [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]

      [tex]= 8[/tex]

   

[tex]f(x)=2|x|[/tex]

[tex]f(a)=f(0)=2\cdot \:0[/tex]       ∵  [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]

       [tex]= 0[/tex]

so the average rate of change  :

[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}[/tex]

              [tex]=\frac{8}{4}[/tex]

               [tex]= 2[/tex]

We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.

What is the solution for this system of equations:
y = 1/2 x + 1
x + y = 16

Answers

Answer:

x = 10, y = 6

Step-by-step explanation:

Giveny = 1/2 x + 1 x + y = 16

Substituting y in the second equation:

x + 1/2x + 1 = 161.5x = 15x = 15/1.5 = 10

Then

y = 1/2*10 + 1 = 5 + 1 = 6

What is the Y intercept of the linear equation X -1/2 Y equals -6

Answers

Answer:

y=12

Step-by-step explanation:

What appears to be the relationship between Fand C in the table below? What is the correct graph of the data?

Answers

Answer:

A

THe answers arent really shown but A should be correct

The picture doesn't show the graph although what the line should look like is a line like so:

It should point like this: /

It should pass through (0, 0) and the rest of the points in  the chart

Step-by-step explanation:

A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring

Answers

Given :

A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee.

To Find :

Write an equation to represent the cost of one square foot of flooring.

Solution :

Fee of one square feet, p = $287/60 = $4.783 .

So, slope of equation will be 4.783 .

Price of installation is $80 dollar.

Therefore, equation to represent the cost of one square foot of flooring is :

C = 4.783n + 80

Here, C is total cost and n is number of square feet.

Hence, this is the required solution.

Uh, I need help with this question (10 points)

Answers

Answer:

2 cups

Step-by-step explanation:

Is 5/6 equal to 2/3?

Answers

Answer: They are not equal

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

Work Shown:

For now, let's assume they are equal. We'll show a contradiction happens.

5/6 = 2/3

5*3 = 6*2 ... cross multiply

15 = 12 ... here's the contradiction

If the original equation was true, then we would get the same thing on both sides in the final step shown above. However, we get a contradiction, so that means the original equation is false.

Furthermore, the left side is larger in the third step, so the left side is larger for each of the three steps. We can then say

5/6 > 2/3

5*3 > 6*2

15 > 12

Which helps show 5/6 is larger than 2/3.

---------------------

Or you can use a calculator to see that

5/6 = 0.833 approximately

2/3 = 0.667 approximately

which shows the two fractions aren't equal and 5/6 is larger.

MARK YOU BRAILIST PLEASE ANSWER CORRECTLY AND SHOW YOUR WORK Which process was used to obtain the equation shown in Step 2?
Step 1: y/3 - 1/4 = 5
Step 2: 4y - 3 = 60
A.added to both sides of the equation
B.added 5 to both sides of the equation
C.multiplied both sides of the equation by 12
D.divided both sides of the equation by 12

Answers

Answer:

C

Step-by-step explanation:

Multiply by 12 on both sides.

Start with step one

y/3 - 1/4 = 5              Multiply both sides by 12

12(y/3 - 1/4) = 5*12

12*y/3 - 12 * 1/4 = 60

3 goes into 12 four times

4 goes into 12 three times. In both cases you are cancelling.

4y - 3 = 60

Solve this equation algebraically!!

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex]1 - \sqrt{x} \neq \: 0 \\ \\ \therefore \: 1 \neq \sqrt{x} \\ \\ {1}^{2} \neq ({ \sqrt{x}) }^{2} \\ \\ 1 \neq \: x \\ [/tex]

Hence, x will take values other than 1.

CHOOSE THE CORRECT CORRESPONDENCE.

TS <>

A. Side RU
B. Side TU
C. Side RT

Answers

Answer:

i believe its B side Tu

Step-by-step explanation:

I believe it’s C, but please correct me if I’m wrong!

DUE AT TWELVE.Help it's savvas math pleaseeeeeee

Answers

Answer:

65%

Step-by-step explanation:

What I did was 2900/2 is 1450 which is half and than I subtract 1450 by 1,885 giving me 435 more people. I honestly, guess 65% but I also checked it on the calculator 2900 - 65% give 1,885.  So, 65% is the correct answer.

Exit
Which answer choice shows 7.68 rounded to the nearest half?
A. 7
B. 7.5
C. 8
D. 8.5

Answers

Answer:

B

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?

Answers

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Answer:

1) 11/3 hours or about 3.67 hours.

2) 3.75 hours.

Step-by-step explanation:

Let’s determine the time it will take for Bob to hike for each of the options.

Option 1) Hiking 5mph for 2 hours, then 3mph.

The total distance is 15 miles.

If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.

Therefore, 15-10 or 5 miles still needs to be covered.

To find how long that will take, we can simply divide the distance by the rate.

We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.

So, it will take another 1.67 hours to complete the hike.

So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.

Option 2) Hiking 4mph the entire way.

The total distance is 15 miles.

If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.

So: 15/4=3.75.

Therefore, it will take 3.75 hours to hike the entire distance going 4mph.

Step-by-step explanation:

What is the volume of the following rectangular prism? 23/4 4/3

Answers

Answer:

23 × 4 × 3 = 276

Step-by-step explanation:

When finding the volume of a rectangular prism, multiply all the dimensions given (length × width × height)

Keep in mind that this works because the equation to find the area of the base is L × W, and to fight volume you multiply the base by the height.

If the base were a triangle, you would need to find the area using bxh/2 instead of L x W

29,17,38,71,35,63,24. Two numbers that add up to 100. Two numbers which differ by 46, a multiple of 9

Answers

2 numbers that add up to 100: 71+29=1002 numbers which differ by 46: 63-17=46A multiple of 9: 9x7=63

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