Susan is 5.5 ft tall and casts a shadow that it is 4 ft long on the ground. She is walking through a park and finds the shadow of a sculpture is 16 ft long. How tall is the sculpture?

Answers

Answer 1

Answer:

22 ft

Step-by-step explanation:

Height of Susan/Length of shadow = Height of sculpture/Length of Shadow of sculpture

5.5 ft/4 ft = x/16ft

Cross Multiply

4 × x = 5.5 × 16

x = 5.5 × 16/4

x = 22 ft

The height of the sculpture is 22 ft


Related Questions

im giving brainliest to somepne random jus comment luv​

Answers

Answer:

luv luv luv luv luv luv luv

How to solve a coefficient

Answers

Answer:

A coeffient is the first number at the beginning of a problem

Ex.

2Na+3H ---> 4O+5S

2 would be the coeffient of Na

3 would be the coeffient of H

4 would be the coeffient of O

5 would be the coeffient of S

Step-by-step explanation:

Please help!!!!!!!
The population of the United States in 2000 was 282,000,000 people. In addition, the
population of the United States was growing at a rate of 1.1% per year. What is the
expected population of the United States in 2025 to the nearest person? Do NOT label
units.

Answers

Answer:

By 2065, the U.S. will have a projected 78 million immigrants. The nation's immigrant population increased sharply from 1970 to 2000, though the rate of They added 72 million people to the nation's population as it grew Post 1965 Immigration Wave Reshapes America's Racial and Ethnic Population

Step-by-step explanation:

Hope this helps you.

~ isimpfortnpu

What's the measure of Angle Q?​

Answers

Answer:

115 degrees

Step-by-step explanation:

When invested at an annual interest rate of 4.7%, an account earned $1,290.33 of simple
interest in 3 years. How much money was originally invested? If necessary, round to the
nearest cent.
O $82,361.49
O $9,151.28
O $20.22
O $91,512.77

Answers

Answer:

The answer is 82,361.49

Step-by-step explanation:

after simplifying the equation, the problem is 1290.33 divided by .27 times 3 - the quotient is 82,362.49 (in simplified form)

The amount of money that he originally invested will be $9,151.28. Then the correct option is B.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

When contributed at a yearly loan fee of 4.7%, a record acquired $1,290.33 of straightforward interest in 3 years.

Then the amount of money that he originally invested will be given as,

1290.33 = (P x 4.7 x 3)/100

Simplify the equation, then we have

1290.33 = (P x 4.7 x 3)/100

129033 = 14.1 x P

P = 129033 / 14.1

P = $9,151.28

The amount of money that he originally invested will be $9,151.28. Then the correct option is B.

More about the simple interest link is given below.

https://brainly.com/question/2793278

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The input-output table shows and values that satisfy the equation Y= 4X +21


what is the blank in the table

marking brainlist

Answers

Answer: 41

Explanation: Use the equation. If you put the x value, which is 5, into the equation, you can solve.

4(5)+21

4 x 5 is 20

20+21=41

hope this helps!!

which statement is true ​

Answers

Answer:

the answer is the second bubble

Step-by-step explanation:

Answer:

A

Wanna play among us. Tge code XAGSBF

Evaluate ÷x+2 for x=49
12
2
9
15 ​

Answers

Answer:12

Step-by-step explanation:but you cant divide by nothing

12 because you can’t divide anything

plaease fil in the answers down below the rules on what to right is at the top

Answers

This was a lot of work for me but I got you if this will help you
1 . X+1, Y+2
2.X-5,Y+7
3.X-6,Y-5 etc the main goal is on a graph if your going up your adding and going down your in the negatives so minus on the Y-axis and if your going right your adding and going left your subtracting on the x-axis

Which of these statements is true about the sum of the meatures of the interior angles of a triangle
А
It equals 90°, because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a right angle
Boit equals 180", because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a right angle
cit equals 90", because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a ine.
Dit equals 180", because it's possible to arrange three copies of the same triangle so that the sum of its three angles for a ne

Answers

Answer:

180 degrees or D

Step-by-step explanation:

It adds up to 180 degrees This is how I remember that: A square is 360 degrees and cut in half is 180

Hope this helps :D

Thanks if you mark brainliest

The sum of all the angles of a triangle is 180 degrees.

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is the sum of the measures of the interior angles of a triangle

As discussed above, the sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

Therefore, the sum of all the angles of a triangle is 180 degrees.

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ2

There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

Answers

Answer:

7:17

Step-by-step explanation:

There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

Total number of students taking gymnastics classes = 7 girls + 10 boys = 17 students

Hence:

the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

= 7 : 17

(Multi Step Algebra)
15x+12=19x-24
what is the answer? help me please ​

Answers

9

Step-by-step explanation:

15x+12=19x-24

15x-19x=-24-12

-4x=-36/÷(-4)

x=9

You first put all the x on one side and numbers on the other and be careful about + and - and then you divide by everything with the x so you have only the x left and you get the aswer.

Answer:

x=9

Step-by-step explanation:

Learned it in math class, hope this helps:)

in mathematics to ______means to replace an expression with one that is equivalent to it


plzz need ans​

Answers

Answer:

I believe the answer is substitution

Step-by-step explanation:

Hope this Helps :)

i think its called a regular expression.. but i'm not 100% sure. Sorry if im wrong.

What is the domain of the function
f(x) =sqrt 1/3x+2 ?
(answers in picture)

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

Below are the daily rental costs for ski equipment at Benton Mountain Ski Resort. Robert rents one set of skis, two sets of poles, and two pairs of boots. The sales tax for the rental was $7.69. He paid with a $100 bill. SKI RENTALS Item Price Skis $25.00 Poles $7.95 Boots $14.50 How much change should Robert receive from the $100 bill? (Use the circle to select the correct answer below.)

Answers

Answer:

$22.41

Step-by-step explanation:

In order to calculate the amount of change that Robert should receive we need to add the cost of each item including the sales tax and then subtract that total from the $100 bill that Robert paid with. Which would be the following...

25 + 7.95 + 7.95 + 14.50 + 14.50 + 7.69 = 77.59

100 - 77.59 = 22.41

Finally, we can see that the total bill was $77.59 which means that Robert should receive $22.41 in change.

What’s the distance between (-2,3) and (2,1) ;; using distance formula

Answers

Answer:4.472136

Step-by-step explanation:

DISTANCE

The formula in finding the distance between two points is given below:

[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]

Now, you know the distance formula. So, let us try solving the given problem using the distance formula.

Problem: What is the distance between (-2, 3) and (2, 1), using the distance formula?

From inspection on the given problem:

[tex]\sf (x_1, y_1) = (-2, 3)[/tex][tex]\sf (x_2, y_2) = (2, 1)[/tex]

Substitute the given values into the distance formula and solve for d:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]\sf d = \sqrt{[2 - (-2)]^2 + (1 - 3)^2}[/tex]

[tex]\sf d = \sqrt{(4)^2 + (-2)^2}[/tex]

[tex]\sf d = \sqrt{16 + 4}[/tex]

[tex]\bold{d = \sqrt{20} \approx 4.47 \: units}[/tex]

Therefore, the distance between two points is 4.47 units.

[tex]\\[/tex]

Now, wasn't that easy? Try this sample problem:

Find the distance between P(1, 3) and Q(7, 11).

From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.

For more information about the Distance Formula, just visit this link: https://brainly.com/question/18156437

I WILL MARK BRAINLIEST IF YOU ARE CORRECT

Answers

Answer:

Step-by-step explanation:

80        40

___________

 100        50

The vertices of a quadrilateral are listed below.
E(6,6), F(10,3), G(6,0), H(2,3)

Which of the following is the strongest classification that identifies this quadrilateral?
A.
The quadrilateral is a trapezoid.
B.
The quadrilateral is a rectangle.
C.
The quadrilateral is a square.
D.
The quadrilateral is a rhombus.

Answers

Answer:

D. The quadrilateral is a rhombus.

HELP ASAP PLEASE WILL MARK BRAINIEST

Answers

Answer:

I thinks its 180 degrees conter clockwise

so one square thing is 90 degrees

and it goes 2 times

u welcome and good luck :)

Answer:

The answer is rotation 180 degrees counterclockwise about the origin.

Step-by-step explanation:

The first choice.

Looking at the other choices when u do a reflection across the y-axis then 8 units up point b doesn’t match up.

Second choice.

When you do a reflection across the x-axis you would have to do 10 units to the left not 4.

Third choice.

If u just do a rotation 90 degrees the triangle wouldn’t be in the right quadrant.

Therefore the choice is 4 the last one

please click on the image and answer me ​

Answers

Answer:

27.40

Step-by-step explanation:

Answer:

$27.40

Step-by-step explanation:

If Amelia bought 4 pounds of roast beef, and each one was $6.85, then you would multiple 4x6.85, or 4(6.85). If you distrubute the 4 to the 6.85, you get 27.4, or 27.40.

Use the diagram shown.

Which is a needed step to prove that △ABF≅△EDG?
∠BCD≅∠BCD

△CFG is isosceles.

line GF≅line GF

∠BCG≅∠DCF

Answers

Answer:

ΔCFG is an isosceles triangle.

Step-by-step explanation:

From the picture attached,

From ΔABF and ΔEDG,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

2). (BC + CF) = (DF + CG)

CF = CG [Given → BC = DF]

3). FA ≅ EG

(AG + GF) ≅ (EF + GF)

AG ≅ EF

Since, two sides of ΔCFG are equal in measure

ΔCFG is an isosceles triangle.

This can be determined by property of congruency. Hence, [tex]\bold{2^{nd}}[/tex]option i.e. ΔCFG is an isosceles triangle is most appropriate.

Given :

From figure ΔABF and ΔEDG  are congruence by SSS property.

Proof:

From ΔABF and ΔEDG in figure,

Conditions for ΔABF and ΔEDG by SSS property of congruence,

1). AB ≅ DE [Given]

   (BC + CF) = (DC + CG)

2). BF≅DG

     CF = CG [Given → BC = CD]

3). FA ≅ EG

     (AG + GF) ≅ (EF + GF)

    AG ≅ EF

Therefore, two sides of ΔCFG are equal in measure.

Thus,ΔCFG is an isosceles triangle.

Hence, [tex]\bold{2^{nd}}[/tex] option i.e. ΔCFG is an isosceles triangle is most appropriate.

For further details,please prefer this link:

https://brainly.com/question/7830547

If m<2= 123, m<12=38 and m<18=100, find the measure of each missing angle.

Answers

Answer:

see below

Step-by-step explanation:

a) ∠1 = 180 - 123  = 57°

b) ∠3 = 100°  (congruent to ∠18)

c) ∠4 = 180 - 100 = 80°

d) ∠5 = 123°  (opposite to ∠2)

e) ∠6 = 57°  (opposite to ∠1)

f) ∠7 = 38° (alternate angle to ∠12)

g) ∠8 = 180 - ∠7 - ∠9 = 180 - 38 - 100 = 42°

h) ∠9 = 100° (congruent to ∠18)

i) ∠10 = 57° (congruent to ∠1)

j) ∠11 = 180 - ∠10 - ∠12 = 180 - 57 - 38 = 85°

k) ∠13 = 100° (parallel angle to ∠3)

l) ∠14 = 80° (parallel angle to ∠4)

m) ∠15 = 123° (parallel angle to ∠5)

n) ∠16 =  57° (parallel angle to ∠6)

o) ∠17 = 80° (opposite angle to ∠14)

A company has determined that 2 out of every 5255 bolts that it ordered is defective. What is the probability that that a worker will pick a bolt that is not defective? Enter your answer as a reduced fraction using / for the fraction bar. Do not use any spaces in your answer.

Answers

Answer:

5253 out of 5255 times.

[tex] \frac{5253}{5255} [/tex]

Step-by-step explanation:

Being that the we are determining the probobility of it not bein defecteve, then we simply count the bolts not defective rather then defective ones. We can do this simply by subtracting the defective bolts from 1, or total bolts recieved.

[tex]1 - \frac{2}{5255} [/tex]

Which is the equation that gives us the answer,

[tex] \frac{5253}{5255} [/tex]

When f(x) = -3, what is x?
-29
-10
-3
-1

Answers

Your answer should be -3

Answer:-1

Step-by-step explanation:

LOOK AT THE CHART , WHEN F(X) IS EQUAL TO 3, X IS EQUAL TO -1

Lucy cuts 4 squares with side length x in. From the corners of a 6 in. By 9 in. Cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. High. Write and simplify a function for the volume V of the tray in terms of x.

Answers

Answer:

4x³ - 30x² + 54x

Step-by-step explanation:

Length of the rectangular cardboard = 9 inches

Width of the rectangular cardboard = 6 inches

if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have

Length of the tray = length of cardboard - 2(side of square )

= 9 - 2x

Width of the tray = width of cardboard - 2( side of square)

= 6 - 2x

height of tray = sides of square

= x

volume of tray = Length × width × height

= (9 - 2x) (6 - 2x) (x)

Open the parenthesis

= (54 - 18x - 12x + 4x²)(x)

= 54x - 18x² - 12x² + 4x³

= 54x - 30x² +4x³

Re-arrange

4x³ - 30x² + 54x

Volume, V of the tray in terms of x = 4x³ - 30x² + 54x

Answer:

4x^3-30x^2+54x

Step-by-step explanation:

What is the conclusion in this conditional statement?
Whenever a car has a flat, it needs a new tire.

Answers

Answer:

The conclusion in this conditional statement would be that it needs a new tire

Step-by-step explanation:

What is equivalent to the product (x-4) (x+9)

Answers

Answer:

x^2+5x-36

Step-by-step explanation:

x^2+9x-4x-36

Answer:

x²+ 5x - 36

Step-by-step explanation:

Given

(x - 4)(x + 9)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 9) - 4(x + 9) ← distribute both parenthesis

= x² + 9x - 4x - 36 ← collect like terms

= x² + 5x - 36

Two hundred and fifty tickets for the school dance were sold. On Monday, 35
tickets were sold. An equal number of tickets were sold each day for the next five
days. How many tickets were sold on one of those days?

Answers

1. 250 - 35 = 215
2. x • 5 = 215, where x is the amount of tickets sold on 1 given day.
3. 215/5 = 43
There were about 43 tickets sold on 1 day other than Monday.
4. Check your work. 43 x 5 = 215, 215 + 35 = 250

There are three consecutive odd integers so that twice the largest of the three is 6 more than the sum of the other two. Find all three consecutive odd integers.

Answers

Step-by-step explanation:

ur answer....here u gi

Please hurry I need this fast

Answers

Answer:

Step-by-step explanation:

The answer is option 3

Answer:

Option 3

Step-by-step explanation: Hope this helps :-)

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