Two flag poles at Liberty Park are 27 feet tall. The distance from the top of one flag pole to the base of the other is 45 feet. What is the distance between the two flag poles?

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer:

The distance between the two poles is 36 feet.

Step-by-step explanation:

If 2 flag poles are 27 feet tall each

if the distance from one flag pole to the base of the other flag pole is 45 feet, this forms the shape of a right angle triangle.

Here, we are going to make use of the Pythagoras theorem.

a2 + b2 = c2

27 2 + b2 = 45 2

b2 = 45 2 - 27 2

b = 45 2 - 27 2 (square root)

b = 2025 - 729

b= 1296 (square root)

b = 36


Related Questions

A car salesman receives 3% commission on his total weekly sales. Last week his total sales were £28500
How much commission does he earn?

Answers

He should get $855. 28500 x 3% = 855

Write an equation in slope-Intercept form from the polnts (-4,-2) and (-3,5)
y = 1/7x
y = 1/7x + 26
y = 7x + 26
x = 7y + 26

Answers

Answer:

y=7x+26

Step-by-step explanation:

First we have to find the slope of the lines.

(-4,-2)      

(-3,5)    

Our slope is going to equal 7

then we take a point and use it to find the equation

y--2=7(x--4)

y+2=7x+28

y=7x+26

HELP PLZ
Given that m n and n l what conclusion can be made?

A. N || P
B. M upside down t P
C. M upside down t L
D. L || M

Answers

A

B or D is your answer

Hope this helps

Step-by-step explanation:

N || P

Step-by-step explanation:

the most reasonable answer to me is that coz line n and p will neva meet but I also like L || M(not sure)

hope that helps

1 1/2×(−6/15) Not a big math person what is this?

Answers

Answer:

11/2×(-6/15)

=-11/2×6/15

=-11×3/15

=-11×1/5

=-11/5

There are 39 students in a class.
16 of the students are female. Find the percentage of the class that are female.
Give your answer to the nearest percent.

Answers

female students = 16/39
to get a percentage: (16/39)x100
percentage = 41%
the percentage is 41%

The sales tax in your city is 8.8 and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

$63 x 0.088 = 3.168

this represents the tax

if you round it, it would be $3.17

Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK

a. 2

b. 1/2

c. -3

d. 2/3

Answers

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

A blueprint of an apartment complex has a scale where 0.5 inches is equal to 3 feet. If the length of the laundry room is 2.5 inches on the blueprint, what is the length of the actual laundry room?

Answers

Answer:

15 feet

Step-by-step explanation:

The diameter of a circl
10. d = 6.7 in.

Answers

Answer: is 6.7 inches


Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1

Answers

Answer:

x by 1 times 15 to the third power

Step-by-step explanation:

Any way someone has a step by step process to solve for x?

-2x+9=21

Answers

-2x + 9 = 21

Step 1: subtract 9 from both sides.

-2x = 12

Step 2: divide both sides by -2.

X = -6

The number of yodelers is twice the number of xylophones, how do I write this in a equation ?

Answers

Answer:

X=(Y*2) // Y=(X/2)

Step-by-step explanation:

Xylophones = "X"

Yodelers = "Y"

First Equation: X=(Y*2) essentially just explains that the xylophones is equal to the yodelers times 2

Second Equation: Basically the same thing, but rather than multiplying the yodelers by two, it divides the xylophones in half.

a printer costs $28 to manufacture and is sold for $56, what is the percentage markup

Answers

Answer:

100% increase

Step-by-step explanation:

Solve the following inequality algebraically. |x - 2| > 11​

Answers

Answer:

x<-9 or x>13 (- infinity, -9)U(13, infinity)

expand and simplify (X+7) (x-2)

Urgent please my teacher threatened me with an axe​

Answers

Answer:

x²+5x-14

Step-by-step explanation:

expand out the brackets:

x²-2x+7x-14

simplify:

x²+5x-14

Use the table and the graph to answer the questions.
Function 1
x −1 −2 −3
y 4 6.5 9
Function 2

(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?

Answers

Answer:

_24

Step-by-step explanation:

x −1 −2 −3

y 4 6.5 9

Function 2

How do the values of the 4s in 64.723 and 9.048 compare? Choose the best answer below to correctly complete the statement. The value of the 4 in 64.723 is 10 100 1000 times the value of the 4 in 9.048.

Answers

Answer:

100

Step-by-step explanation:

4 in 64.723 is a unit value. So it has a value of 1

4 in 64.723 has a value of 0.01

so the value of 4 in 64.723 is 100 times the value of the 4 in 9.048.

How to simplify the following expression
34x-(25x-3)-18

Answers

Answer: 9x-15

Step-by-step explanation:

Given

34x-(25x-3)-18

Expand parenthesis

34x-25x+3-18

Put like terms together

(34x-25x)+(3-18)

Combine like terms

9x-15

Hope this helps!! :)

Please let me know if you have any questions

Alexandra is going to a carnival that has games and rides. Each game costs $3 and
each ride costs $4.50. Alexandra spent $54 altogether at the carnival and the number
of rides she went on is 7 more than the number of games she played. Graphically
solve a system of equations in order to determine the number of games Alexandra
played, 2, and the number of rides Alexandra went on, y.

PLEASE ANSWER ASAP

Answers

Answer:

Game =$6 and ride=$9, to solve is 3x+4y=54

x+y=15

Step-by-step explanation:

;)

A large smartphone company produces 15,000 smartphones per hour.

How long would it take this company to produce 300,000 smartphones?




15 h

20 h

30 h

40h

Answers

Answer:B) 20 hours

Step-by-step explanation:

15000 per one hour and if we multiply them all we get 300,000 smartphones if we do 15,000 multiplyed by 20. Hope it helps!

Answer:

20 h

Step-by-step explanation:

just do 15 x 20 then add the remaining zeros

Find the length of x.

Answers

Answer:

5

Step-by-step explanation:

6/4 = 7.5/x

7.5/1.5=5

Find the value of each variable and the measure of each labeled angle (2x) (3x-42)

Answers

Step-by-step explanation:

Head opposite angles

2x= 3x-42

x= 42°

the angles are 84°

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x is 42 and the measure of the two given angles is 84° each.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The two of the given angles are vertically opposite angles, therefore, the measure of the two given angles will be the same.

(2x)° = (3x - 42)°

2x = 3x - 42

Subtract 2x from both sides of the equation and add 42 to both sides of the equation,

2x - 2x + 42 = 3x - 42 - 2x + 42

42 = 3x - 2x - 42 + 42

42 = x

Therefore, the value of x is 42. Now, the measure of each angle can be written as,

(2x)° = 2(42) = 84°

(3x - 42)° = 3(42) - 42 = 84°

Hence, the value of x is 42 and the measure of the two given angles is 84° each.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

#SPJ2

Carter is going to invest $210 and leave it in an account for 5 years. Assuming the interest is compounded annually, what interest rate, to the nearest tenth of a percent, would be required in order for Carter to end up with $250?

Answers

Answer:360

Step-by-step explanation:g-g5

The rate of interest will be 0.35.

What is compound interest?

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest formula

[tex]CI = P(1+\frac{r}{n}) ^{nt} -P[/tex]

and, the Amount is given by

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

Where,

A is amount

P is principal

r is rate of interest

n is number of times interest is compounded per year

t is time

According to the given question

Principal, P = $210

Amount, A = $250

Time, t = 5 years

n = 1

Therefore, the interest rate is given by

Amount = [tex]P(1+\frac{r}{n}) ^{nt}[/tex]

⇒[tex]250 = 210(1+\frac{r}{1}) ^{5}[/tex]

⇒[tex]\frac{250}{210} =(1+r)^{5}[/tex]

⇒[tex]1.19 = (1+r)^{5}[/tex]

⇒[tex]\sqrt[5]{1.19} = 1+r\\[/tex]

⇒ 1.035 = 1 + r

⇒ r = 1.035 - 1

⇒ r = 0.35

Hence, the interest rate is o.35.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ2


NOTE: Angles not necessarily drawn to scale.

PLEASE HELP I WILL MARK BRAINLIST

Answers

x=47

angles are supplementary so they add to 180.

180-133=47

Answer:

47

Step-by-step explanation:

133+133=266

360-266=94

94/2=47

I think hopefully!

Which function is f(5) for the function -2x^2+2x-3

A: -107
B: -63
C: -43
D: -37

Answers

Answer:

C

Step-by-step explanation:

-2x^2 + 2x -3

-2(5)^2=

-50

2(5)

= 10

-50+10-3

is -43 so C

The results of an analysis, on the makeup of garbage, done by the Environmental Protection Agency was published in 1990. Some of the results are given in the following table, which for various years gives the number of pounds per person per day of various types of waste materials.

Waste materials
1960
1970
1980
1988
Glass
0.20
0.34
0.36
0.28
Plastics
0.01
0.08
0.19
0.32
Metals
0.32
0.38
0.35
0.34
Paper
0.91
1.19
1.32
1.60

For glass, calculate the average rate of change between 1970 and 1980. Then interpret what this value means.
a.
From 1970 to 1980, the number of pounds of glass per person per day decreased by 0.002 per year.
c.
From 1970 to 1980, the number of pounds of glass per person per day increased by 0.002 per year.
b.
From 1970 to 1980, the number of pounds of glass per person per day decreased by 0.11 per year.
d.
From 1970 to 1980, the number of pounds of glass per person per day increased by 0.11 per year.

Answers

The correct option regarding the average rate of change for glass is given by:

c. From 1970 to 1980, the number of pounds of glass per person per day increased by 0.002 per year.

What is the average rate of change of a function?

It is given by the change in the output divided by the change in the input.

Looking at the table, in the 10 years from 1970 to 1980, the amount of glass changed from 0.34 pounds to 0.36 pounds, hence the rate is given by:

r = (0.36 - 0.34)/10 = 0.02/10 = 0.002.

Which means that option c is correct.

More can be learned about the average rate of change of a function at https://brainly.com/question/24313700

#SPJ1

Answer:Option C

Step-by-step explanation: Just simplifying the other guys answer

A dilation centered at the origin with a scale factor of 2 can be denoted with the following notation: D2(x,y)=(2x,2y) . Find D4 for point A (−2,3) .

Answers

Answer:or point  A (-2, 3) is (-8,12).

Step-by-step explanation:

Pls tell me the answer only.

Answers

I believe it is C, as integer numbers cannot be expressed as a fraction for any integers.

i need help asap!!!!

Answers

Answer:

it's A

Step-by-step explanation:

just did it made 80

Answer:

heyy hello how r u? I hope u r fine

Solve for X. 12y-4x=10

Answers

Answer:

x=-5/2+3y

Step-by-step explanation:

If this answer helped you then please consider making this brainliest and thank this response :)

Answer:

x = -2.5 + 3y

Step-by-step explanation:

Simplifying

12y + -4x = 10

Reorder the terms:

-4x + 12y = 10

Solving

-4x + 12y = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12y' to each side of the equation.

-4x + 12y + -12y = 10 + -12y

Combine like terms: 12y + -12y = 0

-4x + 0 = 10 + -12y

-4x = 10 + -12y

Divide each side by '-4'.

x = -2.5 + 3y

Simplifying

x = -2.5 + 3y

Other Questions
Help!!Find the measure of angle 1 Trigonometric functions PLS HELP ME pls???!! Im Of the Nine Crusades, which one was the only Christian victory? Katrina received a raise in pay from $14.00 per hour to $15.10 per hour. What is her percent increase in pay per hour? Type your answer using the % key. Round to the nearest whole percentage if necessary. 1. A parent company sells land to its wholly-owned subsidiary in 2015, reporting a gain of $35,000. In 2020, the subsidiary sells the land to an outside developer and reports a gain of $60,000. In the 2020 consolidation working paper, the elimination of this transaction will result in: A. A $35,000 decrease in beginning retained earnings B. A $60,000 increase in investment in subsidiary C. A $95,000 decrease in land D. A $35,000 increase in gain on sale of land who made godwho made the gods zeuswho made the galaxywho made the earthwhat came from nothingwho made prymidsadam and eve came out of nowhere?who made the dinosaursif god was created who made godwho made himwho made thatwe eat pizza inside outspace isnt emptytheres only one sunset,you did not acknowledge my exisetanse till now.what does a mirror look like when we dont look at it? PLEASE HELP ME match the equations at the bottom of the screen to the graph.TYSM what is the highest energy level of an atom with 37 electrons Which country is being described by the statements below?1 point.OPARLIAMENTARY DEMOCRACYCITIZENS ELECT MEMBERS OF PARLIAMENT.MEMBERS OF PARLIAMENT SELECT THE PRIMEMINISTERQUEEN ELIZABETH II IS THE HEAD OF STATE ANDHOLDS LITTLE POLITICAL POWEROUnited KingdomUnited StatesGermanyRussia Can someone please help I am stuck on this question Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.2(sin^4)x Please help complete con la forma correcta del Vernon reflexive en el presents Which evidence supports the big bang theory?Planetesimals form in debris disks.Most galaxies are moving toward us.Uniform background radiation is detected in every direction.Galaxies spin faster than they should based on visible matter. (9,18)(4,3) find the slope your family went out to dinner to celebrate your grandmas 100th birthday. The total for the dinner was $208.60, so your parents left a $31.29 tip. What percent of the bill was the tip? Solve this system of equations:y=-3x + 13y=-2x + 1Enter your answer as an ordered pair (x, y). 10. In a bacterial cell, which structure allows the cell to move through fluid?A flagellaB piliC nucleoidD ribosomes Cheese Pizza or Pepperoni Pizza Apply the distributive property to create an equivalent expression.6(5x 3)=