a statue of abraham lincoln casts a 9-foot shadow at the same time the white house casts 48-foot shadow . if the white house is 70 feet tall , how tall is the statue of abraham lincoln

Answers

Answer 1

Step-by-step explanation:

let's ignore the question, if the statue can cast an isolated shadow based on its location ...

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

48 × f = 9

f = 9/48 = 3/16

therefore, the height of the statue is

70 × f = 70 × 3/16 = 210/16 = 13.125 ft


Related Questions

which of the points does not fall on the same line as the other three points? (-4,4) (0,2) (2,1) (4,-1)​

Answers

Answer:

Given (-4,4),(0,2),(2,1),(4,-1)

Only any two points are on the same line.

Step-by-step explanation:

You could do a lot of calculations, write the equations for the points in the line. These would be very good. But, you could also just look at the points on a graph. See image.

Repost if there are different points in the original problem.

Solve three questions

Answers

Answer:

7) r = -4

8) n = 1

9) x = 2

Step-by-step explanation:

Problem 7

Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.

5 + 3r + 6 = -1

3r + 11 = -1

Next, let's remove 11 from both sides to isolate r.

3r = -12

Finally, we can divide both sides by 3 to find the value of r.

r = -4

Problem 8

In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).

-n + 3n + 2 = 4

2n + 2 = 4

Next, we can remove 2 from both sides to isolate r.

2n = 2

And finally, we can divide both sides by 2.

n = 1

Problem 5

This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.

(-6 + x)/4 = -1

4 × (-6 + x)/4 = 4 × -1

4/4 × (-6 + x)/1 = -4

-6 + x = -4

Finally, let's add 6 to both sides.

x = 2

the forces opposing the expansion of the universe are due to

Answers

The forces opposing the expansion of the universe are due to the gravitation interaction.

Hope it helped.

Multiply the following expression: 12 x (- 6 1/2 )​

Answers

Answer:

 -78

Step-by-step explanation:

Simplify -6 1/2 to -13/2

Then multiply by 12

-13/2 x 12/1= -156/2

Simplify -156/2 to -78

Hopes This Helps :)

1,508 rounded to the nearest hundred

Answers

Answer:

1,500

Step-by-step explanation:

hope this helped!

Answer:

1500.

Step-by-step explanation:

The hundreds digit is the 5.

A the next digit ( the tens) is 0  ( < 5) it remains as 0 and the 8 becomes 0.

hellp and u git a braintasic

Answers

Answer:

whats the question??  lol

Step-by-step explanation:



S is a geometric sequence.

a) (1x + 1), 1 and (rootx - 1) are the first three terms of S.
Find the value of x.
You must show all your working.


b) The 5 term of S can be written in the form a V2 + b
where a and b are integers
Find the value of a and the value of b

Answers

Answer: your answer would be 2

Step-by-step explanation:

find the perimeter of a rectangle whose length is 4cm greater than its height, and whose area is 60 cm^2.

Answers

Answer:

32

Step-by-step explanation:

x=6

and it's x+x+(x+4)+(x+4)

Answer:

80cm

Step-by-step explanation:

Lets have height be x

Then the length would be x+4

So the area would be x*x+4=60

Solve: 2x+4=60, 2x=36, x=18

The height is 18 so the length is 22

The perimeter=18*2+22*2

Result: 80cm

HELP!!! THIS IS IMPORTANT
, aflred runs 2 1/2 miles in 3/4 of an hour.

Which unit rates are true for this situation?


3/10 miles per hour

3/10 to run a mile

3 1/3 miles per hour

3 1/3 hours to run a mile

Answers

I’m pretty sure it’s 3/10 miles per hour
I think it’s 3 1/3 miles per hour

PLEASE HELP! Give explanations down below please! Thanks I am timed

Answers

Answer:

you need to divide all number

I need help with this

Answers

Answer:

X represents The value of players on the field

Step-by-step explanation:

the numbers 0-11 are showing how many people would be on the field should an official game be played

vertical and horizontal asymptotes

Answers

Vertical: x=-1 and 2
Horizontal: y=-1

Solve for x.
3x - 3
4x - 6
X =
= [?]

Answers

3x-3 and 4x-6 are complementary angles meaning together they add up to 180°. Set them equal to each other. So you get 3x-3=4x-6 now simplify this. Now you have x=3 and there you have it! If you plug 3 into x in both equations it works! Hope this helps!

Answer:

x=27

Step-by-step explanation:

Same side exterior angles are supplementary when the lines are parallel

3x-3 + 4x-6 = 180

7x -9 =180

Add 9 to each side

7x-9+9 = 180+9

7x = 189

Divide each side by 7

7x/7 = 189/7

x =27

Walmart has white tees and joggers on sale. The white tees cost $4 each and the joggers cost $6
each. You have $36 to spend. The equation 4x + 6y = 36 can model this situation where x
represents the number of white tees and y represents the number of joggers purchased.
Graph the equation and identify (3) possible combinations of white tees and joggers that can be
bought.
cost = price x quantity
4 × X
Combination

Answers

y intercept = 6
Slope = -2/3

6 joggers and 0 tees
4 joggers and 3 tees
2 joggers and 6 tees
0 joggers and 9 tees

will mark brainleist pls hep

Answers

Answer: 242

Brainliest plsssssss

Answer : 242………………..

Jacob R. Scored a 25 on his quiz Last week. This week he scored a 70 on his quiz. By what percent did jacobs improve his grade?

Answers

Based on his score last week and his score this week, we can say that Jacob increased his score by 180%

Jacob scored 25 in his test last week and then this week scored 70.

The increase can be found as:

= (New score - Old score) / Old score x 100%

Solving gives:

= (70 - 25) / 25 x 100%

= 180%

In conclusion, Jacob increased by 180%

Find out more at https://brainly.com/question/22444616.

BRAINLIEST
Please solve

Answers

The person above me is correct

Solve the inequality.
3x + 5
———- <4
2

x < [?]

Answers

Answer:

[tex]x \leqslant 1[/tex]

Step-by-step explanation:

first multiply both side by 2 to get rid of the fraction

[tex]3x + 5 \leqslant 4(2)[/tex]

[tex]3x + 5 \leqslant 8[/tex]

[tex]3x \leqslant 8 - 5[/tex]

[tex]3x \leqslant 3[/tex]

[tex]x \leqslant 1 [/tex]

A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag

Answers

I think the answer is 5
There are 15 white beads in the bag. (1/5 of 25 is 5.)

mooooooooo 4/9-4/10 =

Answers

Answer:

0.04444444444

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail 4/9-4/10[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{40-36}{90}[/tex]

[tex]\\ \rm\rightarrowtail 4/90[/tex]

[tex]\\ \rm\rightarrowtail 2/45[/tex]

elena went to a sporting goods store that was having a sale she bought a tennis racket and 3 cans of tennis balls the tennis racket is normally 43 all tennis rackets are marked done 15 percent one can of tennis balls is 4 the tennis balls are not marked done the sale tax is 8.5 how much will she pay for everything including tax

Answers

The amount that she will have to pay for everything is $52.68.

First step is to calculate the cost of 3 can of tennis ball

Cost of cans=3 x $4

Cost of cans=$12

Second step is to calculate the discount

Discount=15% x $43

Discount=$6.45

Third step is to calculate the cost of total racket

Total racket=$43 -$6.45

Total racket=$36.55

Fourth step is to calculate the amount that Elena will pay including tax

Amount=($12 + $36.55) + [($12 + $36.55)x 0.085]

Amount=$48.55 + ($48.55 x 0.085)

Amount=$48.55+$4.13

Amount=$52.68

Inconclusion the amount that she will have to pay for everything is $52.68.

Learn more about tax here:https://brainly.com/question/25033929

Explain with examples of your own how to find the domain and range of a function.

Answers

Step-by-step explanation:

hope it will help you....

If 7 is subtracted from half of a number, the result is 14. Find the number.
a.41
b.42
c.43
d.44​

Answers

If 7 is subtracted from half of a number, the result is 14.Let the number be x.Therefore, by the problem[tex] \frac{x}{2} - 7 = 14 \\ = > \frac{x}{2} = 14 + 7 \\ = > \frac{x}{2} = 21 \\ = > x = 21 \times 2 \\ = > x = 42[/tex]

Answer:

The number is 42.

Hope you could get an idea from here.

Doubt clarification - use comment section.

What is the equation of the line that passes through the point (-5, 6) and has
a
slope of o?

Answers

Answer:

y = 6

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 5, 6 ) with y- coordinate 6 , then

y = 6 ← equation of line

The equation of the line y= 6

what regular polygon has an interior angle of 156 degrees

Answers

Answer:

regular pentadecagon

Step-by-step explanation:

it has 15 sides

that is what matches the exterior angled sum property - 360degree

let me explain it

1 side = 180 - 156 = 24

360/24 = 15

mark me brainliest and thank me if you like the answer

View Example
After a power fallure, the temperature in a freezer increasettat an average rate of 3.5°F per hour. The total
Increase was 17.5°F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 17.5°F.
Step-by-step
Video Tutor
The equation to find the number of hours until the power was restored is
Textbook
Print
The number of hours until the power was restored
is
hours
Turn it in
e Save & Close
Question 6 of 6
✓ Check Answer

Answers

Answer:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Step-by-step explanation:

yoooooooooooooooooooooooooooo

Which of the following statements is false?
Reflection over x-axis:
T(x, y) = (x, y)
Reflection over y-axis:
T(x, y) = ( x,y)
Reflection over line y = x: T(x, y) = (y, x)
O Reflection over y-axis:
T(,Y)= (x,y)

Answers

Answer:

T(x,y)=(x,y) is false

Step-by-step explanation:

help wanted will mark brainiest

Answers

Answer:

For question a the answer is option  b at 50$

For question b the answer is 50 miles and option a is less

Step-by-step explanation:

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK

Answers

Answer:

√366

Step-by-step explanation:

a^2 + b^2 = c^2

5 + 361 = 366

√366

Please help i cant figure it out will mark branliest​

Answers

Answer:

b

Step-by-step explanation:

hope it helped u take a look at the picture u attached

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