. A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole

Answers

Answer 1

Answer:

The flagpole is 60'(60 inches) tall

Step-by-step explanation:

A flagpole is standing in front of City Hall. Percy, who is standing near the flagpole is 5' tall and casts a shadow 3' long. If the flagpole casts a shadow 36' long, how tall is the flagpole

The formula is given as:

Height of percy/ Shadow of percy = Height of flagpole/Shadow of flagpole

Height of percy = 5 inches

Shadow of percy = 3 inches

Height of flagpole = ??

Shadow of flagpole =36 inches

= 5/3 = x/36

Cross Multiply

3 × x = 36 × 5

3x = 36 × 5

x = 36 × 5/3

x = 60 inches

Therefore, the flagpole is 60'(60 inches) tall.


Related Questions

Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step

Answers

if mary beth jumps 42 times per minute you need to figure out how many minutes in 2 hours (120 minutes). 42x120=5,040

Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar

A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.

B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.

C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​

Answers

Answer:

Step-by-step explanation:

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​,

(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)

Answer:

the answer is D

hope this helpful

You were in the car with a family member. You started with 7/10 of a tank of gas, and when you got home you had ⅓. How much gas did you use?

Answers

9514 1404 393

Answer:

  11/30 of a tank

Step-by-step explanation:

The amount used is the difference between the starting amount and the ending amount:

  7/10 -1/3 = 21/30 -10/30 = 11/30 . . . . of the tank

If interest is compounded semi-annually, which expression
represents the account balance in t years?

Answers

Answer:

The equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

Step-by-step explanation:

Given the compound interest equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

here

A represents Accrued Amount (principal + interest)

P represents Principal Amount

I represent Interest Amount

r represents the Annual interest rate

t represents Time Involved in years

n represents the number of compounding periods per unit t

As we are given that the interest is compounded semi-annually

i.e. n = 2

so substituting n = 2 in the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]       ∵ n = 2

Thus, the equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

A store is having a​ going-out-of-business sale. A television set that originally cost ​$2,000 has been marked down by 25​%. What do you pay for the television set w

Answers

Answer:

$1500

Step-by-step explanation:

If the television is marked down by 25%, it means that the price was reduced by 25%. This means that the television would be 100% - 25% = 75% of the original price.

The price of the television following the mark down=

0.75 x ​$2,000 = $1500

If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M

Answers

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

help me again pleaseee

Answers

Answer:

a). x = 10.20 in

b). x = 2.24

Step-by-step explanation:

a). By applying Pythagoras theorem in the given right angle,

    (Hypotenuse)² = (Leg 1)² + (Leg 2)²

    (15)² = x² + (11)²

     225 = x² + 121

     x² = 225 - 121

     x² = 104

     x = √104

     x = 10.198 ≈ 10.20 in

b). By applying Pythagoras theorem,

    (3x)² = (2x)² + (5)²

     9x² = 4x² + 25

     9x² - 4x² = 25

     5x² = 25

      x² = 5

    x = √5 = 2.24

PLEASE HELP ME NOT THAT HARD I THINK
For one test, Benny got 12 questions wrong. His score was a 60%. In total, how many questions were on his test? Round your answer to the nearest whole number if necessary.

Answers

Answer: answer is 20 questions total

Step-by-step explanation:

12 Wrong, and 8 right. 60%

set up a proportion
x-12/x = 60/100
100x - 1200 = 60x
40x = 1200
x = 30
30 questions

Decrease £280 by 15%

Answers

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

I really need help with this
Help if u can

Answers

I think y is 2 because x is -1 right?

Find the value of x.​

Answers

Hello!

[tex]\large\boxed{x = 6}[/tex]

The figure pictured contains two congruent triangles (ASA), so we can assume that:

JK ≅ JM

Therefore:

2x - 4 = 4x - 16

Subtract 2x from both sides:

2x - 2x - 4 = 4x - 2x - 16

-4 = 2x - 16

Add 16 to both sides:

-4 + 16 = 2x - 16 + 16

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

x = 6.

Generate two equivalent fractions for each fraction. Use fraction tiles or number lines.
1
-
3

Answers

Remember that finding common denominators is only one of the strategies for comparing fractions

28 divided by 5 gvbhcjdxksalskdfjghnvjckfkckkvkvjv

Answers

Answer:

5.6

Step-by-step explanation:

HAve a nice day!

Help me with this problem? GIVING BRAINLIEST!!

Answers

convert all to common units i'll do feet and minutes
A. 18 ft in 20 minutes
B. 90 feet in 150 minutes
C. 60 feet in 90 minutes
D. 11 feet in 15 minutes

18/20 = .9
90/150 = .6
60/90 = 2/3
11/15 = 7.33333
A is the fastest

Answer:

Speed = Distance/time in km/h

a) 18 feet in 20 minutes

0.0054864 km/0.333333hours

=0.01645921645 km/h

b) 90 feet in 2.5 hours

0.027432km/2.5

=0.0109728 km/h

c) 20 yards in 1.5 hours

0.018288km/1.5

=0.012192 km/h

d) 3 2/3 yards in 15 minutes

0.003352800000003048km/0.25hours

=0.0134112

So I think its safe to say that A is the fastest in comparison

Bill is looking for a job as a gym teacher. he plans to send resumes to 130 schools in his state. Kinko's charges $30 per 100 copies and sells them only in sets of 100.

a. How many copies will bill have to purchase if he is to have enough resumes?

b. how much will the copies cost bill, including the 6% sales tax?​

Answers

A. He will have to buy 200 copies
B. He will have to pay $60 for the copies plus the %6 tax which would be a total of $63.60

Select the correct answer.

Simplify.

Answers

Answer:

is it m-9?

Step-by-step explanation:

Answer:

its 1 /d

Step-by-step explanation:

6*3 is 18,

so its m^18 / m^18

which is 1

Have a good day!!!

how did you solve 60 times 400

Answers

Answer:

24000

Step-by-step explanation:

You just multiply 60 times 400

=24000

Answer:

24,000

Step-by-step explanation:

trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000

2 divided by 5/12= what

Answers

make it so 2 has the same denominator as 15/ 12 and if you do that it’s 24/12 which is equal to 2 and then you subtract 24/12-15/12 which equals 9/12

Help needed. Will mark brainliest. Please help:c

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost of owning and operating a printer :

Purchase Cost = $100

Printing per per page = $0.05

Thus, owning and operating cost :

Purchase cost + (Printing per page * number of pages)

Number of pages = p

100 + 0.05p

Service cost :

Amount per page = 0.25

Total revenue = cost per page * number of pages

Total revenue from service =. 0.25p

The equation :

100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue

It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.

100 + 0.05p = 0.25p

100 =0.25p - 0.05p

100 = 0.20p

p = 100/0.2

p = 500

When number of pages equals 500; the owning and operating cost is equal to the revenue made.

Can someone help me with this question Please.

Solve for the slope, x- and y-intercepts given the equation below.

7x + 2y = -10

x-intercept:

y-intercept:

Slope:

Answers

X intercept: (-10/7, 0)
Y intercept: (0, -5)
Slope: -7/2
First, you should put it into y-intercept form:
7x+2y=-10
2y=-10-7x
Y=(-7x-10)/2

The slope is the coefficient of x right now, so the slope is -7/2.

The x-intercept’s y is always 0, so we plug that into the equation as y=0.
7x+2y=-10
7x+2(0)=-10
7x+0=-10
X=-10/7

Therefore, the x-intercept is (-10/7,0).

Now, you do the same thing for the y-intercept where x=0 to find your y-intercept.

Hope that made sense!

The table and the graph each show a different relationship between the same two variables, x and y:

How much more would the value of y be in the table, than its value on the graph, when x = 11?
Group of answer choices
110
170
385
495

Answers

Answer:

[tex]\displaystyle 385[/tex]

Step-by-step explanation:

The rate of change [slope] of the graph is 35, and for every two blocks you horisontally move represents seventy blocks vertical-wise, therefore an ELEVENTH block would require you to split 70 in half, giving you 35, then add this to 350 to get 385.

I am joyous to assist you at any time.

Answer:

The answer is Option B.) 385

Step-by-step explanation:

The pace of progress of the chart is 35, and for each two squares you horizontally move addresses seventy squares vertical-wise, thusly an 11 square would expect you to part 70 fifty-fifty, giving you 35, then, at that point, add this to 350 to get 385 as a result.

y = -2x + 11

What is the slope of the equation?

A) -11
B) -2
C) 9
D) 11

Answers

Answer:

-2

Step-by-step explanation:

you must follow the y=mx+b

m=slope

b=intercept

Answer:

B) -2

Step-by-step explanation:

y= -2x+11 is in slope-intercept form

y= mx+b

y= y-coordinate

x= x-coordinate

m= slope

b= y-intercept

m= -2

Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?

Answers

Answer:

This is dependent because it depends what sock she picked out first.  It would be independent if she put the pulled out sock back into the container

Jada and Alexandra sell spices at the marketplace. They each charge a constant price per kilogram of spices.
Jada has weekly expenses of \$200$200dollar sign, 200. She covers her expenses and makes a profit of \$280$280dollar sign, 280 for selling 808080 kilograms of spices.
The graph of Alexandra's weekly profit (in dollars) as a function of the amount of spices sold (in kilograms) is shown below.
Who has greater weekly expenses?

Answers

Answer:

Alexandram has greater weekly expenses

They charge the same price

Step-by-step explanation:

I got this answer for khan academy!

Answer:

Alexandram

They charge the same price

Step-by-step explanation:

How many 5/6 are in 2/3

Answers

Answer:

The amount is 4/5 of 5/6 is in 2/3.

Step-by-step explanation:

There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

We have to determine how many 5/6 are in the fraction 2/3.

The numbers are given in the question below

2/3 and 5/6

According to the given question, the required solution would be as:

⇒ 2/3 ÷ 5/6

⇒ (2/3) / (5/6)

Reciprocal the terms of the numerator in the above expression

⇒ (2/3) × (6/5)

Apply the multiplication operation,

⇒ 12 / 15

Reduce the fraction in the simplest form,

⇒ 4/5

Therefore, there 4/5 is 5/6 in the fraction 2/3.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Xavier starts the summer with $315 in his savings account. Since he will be working a lot this summer, he made plans to deposit $80 into his account each week. If he ended the summer with $955 in his savings account, how many weeks did he make deposit?

Answers

Answer: 8 weeks

Step-by-step explanation:

He originally had $315 in his account. This figure increased to $955. It therefore increased by:

= 955 - 315

= $640

If he deposited $80 every week, the number of weeks it would take to deposit $640 is:

= 640/80

= 8 weeks

WILL MARK BRAINLIEST !!!! Which equation is an equation of a circle with a radius of 3 and its center is at (5, -2)?

(x - 5)² + (y + 2)² = 3

(x - 5)² + (y + 2)² = 9

(x + 5)² + (y – 2)² = 3

(x + 5)² + (y - 2)² = 9

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

(x + 5)² + (y – 2)² = 3

Step-by-step explanation:

PLEASE HELP!!

what will happen to the graph of the line y= 3/4x -7 if you change 3/4 to -3/4?


a) the line will intersect

b) the slope of the line will change from positive to negative

c) (4,-4) will become a point on the line

d) the y-intercept will change from negative to positive

Answers

Answer:

B choice

Step-by-step explanation:

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

where m = slope and b = y-intercept.

The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.

Answer: b) the slope of the line will change from positive to negative

Write the ratio in simplest form.



The ratio of green beads to blue beads is ???

Answers

3:6 but if u simplify it it will become

1:2

simplify 2x+1-2x/2x+1

Answers

Answer:

1 = 2+ 348/46 (56+35)

Step-by-step explanation:

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