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

Which graph represents the function f(x) = 4x

Answers

Answer:

[tex]\boxed{\textsf{ The required graph of y = 4x will be a straight line passing through the origin . }}[/tex]

Step-by-step explanation:

Here we need to plot the graph for the function given to us . The function is ,

[tex]\sf \implies f(x)= 4x [/tex]

In order to plot a graph let us assume that ,

[tex]\sf\implies y = f(x) [/tex]

Hence we now get , that ,

[tex]\sf\implies y = 4x [/tex]

Now let's find out some values of x and y taking which we will plot the graph .

• So , firstly let , x = 0 then y will be equal to 4*0 = 0 . Hence we got one coordinates as (0,0) .

• Secondly let x = 1 , then y will be equal to 4*1 = 4 . Hence we get the third coordinate as (4,0) .

• Thirdly let us take that x = 0.5 then y will be equal to 4*0.5 = 2 . Hence we got the third coordinate as ( 0.5 , 2 )

• Fourthly let x = -0.5 then y will be equal to 4*-0.5 = -2 . Hence the fourth coordinate will be (-0.5 , -2)

Now when we plot it's graph taking suitable scale then it will look something like that as shown in attachment .

For the graph of y = 4x kindly refer to the attachment :) .

Hence the graph of y = 4x will be a straight line passing through the origin.
Answer: X Y
0 0
1 4
Here is the graph

Which explicit equation below matches the given recursive equation? t (n+1) = t (n) -3 t (1) = 8

A. t (n) = 11 - 3n
B. t (n) = -3n + 5
C. t (n) = 3n - 8
D. t (n) = 8 - 3n

PLEASE HELP!!!

Answers

Answer:

B because it would need to be a negative number

What's the diffrence between an Arithmatic sequence and a Geometric sequence?

Answers

Answer:

An arithmetic sequence has a constant difference between each term.

A geometric sequence has a constant ratio.

help pls i’ll mark as brainliest if correct

Answers

Answer:

B

Step-by-step explanation:

Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge. What is the unit price of a loaf of bread at each store? Store A: Store B: Store C: Store D:

Answers

Answer:

The answer is below

Step-by-step explanation:

A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.

Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.

PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?

Store A:

Store B:

Store C:

Store D:

Solution:

The unit price of an item is the price for a single unit of measure of that item. It is measured in price / unit measure.

unit price of a loaf of bread at each store = cost of the loaf of bread / number of loaves

For store A, unit price = $5.94 / 3 loaves = $1.98 per loaf

For store B, unit price = $7.80 / 4 loaves = $1.95 per loaf

For store C, unit price = $10.50 / 5 loaves = $2.10 per loaf

For store D, unit price = $12.12 / 6 loaves = $2.02 per loaf

Answer:

yup the person above me is right but for C its $2.01 :>

Step-by-step explanation:

Hope this helps!!

Given RS = 6, ST = 3, and SL = 4, find the required measure. (Part of the answer is provided for you.)



KT =

Answers

Answer:

https://brainly.com/question/1593288

Step-by-step explanation:

This was answered previously on here

Answer:

Square root of 61

Step-by-step explanation:

It was correct on my assignment

The result of increasing a number by -4 is 7. What is the number?
What is the answer?

Answers

Answer:

11

Step-by-step explanation:

I'm guessing you meant decreasing and 4 less than 11 is 7

Do you think that every subtraction problem can be rewritten as an addition problem that gives the same result? Write a convincing argument, using examples. (Think about how they are related.)

Answers

Answer:

If you have the answer to the proble then yes

Step-by-step explanation:

for exampe 9+8=17 can be rewritten as 17-9=8

The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.​

Answers

Answer:

2.25

Step-by-step explanation:

Given the cost model:

C(l) = l3 – l2 + l + 2.5

l = Length fo package

The length of a package that cost $11.00

11 = l³ - l² + l + 2.5

From the table given :

Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50

Taking l as 2.20

2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508

Taking a slightly higher value :

Put l = 2.25

2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078

Ww can conclude that the length of mail would be 2.25

Answer:

2.75

Step-by-step explanation:

A car travels 825 miles in 15 hourso How many
miles does the can
travel in
I hour. Helps
ASAP

Answers

I think the answer would be 55 if the speed and velocity of the car was constant and it also depends on the terrain/traffic

help right now plz lots o points BRAINLIEST

Answers

Answer:

x>-25

Step-by-step explanation:

hope this helps!

Answer:

[tex]x < 25[/tex]

Step-by-step explanation:

[tex]-\frac{3}{10} x -7 +7 < \frac{1}{2} + 7[/tex]

[tex]-\frac{3}{10} x < \frac{15}{2}[/tex]

[tex]-\frac{3}{10} x (\frac{10}{3} ) < \frac{15}{2} (\frac{10}{3} )[/tex]

[tex]x < \frac{150}{6}[/tex]

[tex]x < 25[/tex]

Hope it helps!

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

Select all the expressions that are equivalent to 24x + 12.
2(12x + 6)
–6(–4x – 2)
–3(8x – 4)
12(1 + 2x)
–4(–6 – 3x)

Answers

Answer:

2(12x + 6)

-6(-4x - 2)

12(1 + 2x)

The expressions that are equivalent to 24x + 12 are:

2(12x + 6)

-6(-4x - 2)

12(1 + 2x)

Let's go through each expression and simplify them to determine if they are equivalent to 24x + 12.

2(12x + 6):

We can use the distributive property to simplify this expression:

2 * 12x + 2 * 6 = 24x + 12

This expression is equivalent to 24x + 12.

–6(–4x – 2):

Again, using the distributive property, we simplify:

–6 * –4x + –6 * –2 = 24x + 12

This expression is equivalent to 24x + 12.

–3(8x – 4):

Once again, applying the distributive property:

–3 * 8x + –3 * –4 = –24x + 12

This expression is not equivalent to 24x + 12.

12(1 + 2x):

Using the distributive property:

12 * 1 + 12 * 2x = 12 + 24x = 24x + 12

This expression is equivalent to 24x + 12.

–4(–6 – 3x):

Applying the distributive property:

–4 * –6 + –4 * –3x = 24 + 12x = 12x + 24

This expression is not equivalent to 24x + 12.

To know more about expressions click here :

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Help !! I need to do this fast !!!!!

Answers

Answer:

3 and 6

Step-by-step explanation:

can i get brainliest please? thanks!

hope this helps!

What is an equation of the line that passes through the points (-2, 7) and (1, -8)?

Answers

Answer:

Im not a hundred percent sure

but

y=-5x+7

Write an inequality to match the graph below.

Answers

lets use x as the variable in this situation

x > -2 or x is greater than negative two.

hope this helps

I need points so yeah

(7th grade math question)

Evan bought a pair of shoes for $120 there is a discount on the shoes for 10% off and the tax is 5%. What is the total price?

A) 105.46
B) 113.40
C) 108.00
D) 109.36

please answer soon ​

Answers

It's B I think. I might have done it wrong. But I pretty sure it's B

Answer:

It’s B

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO HOWEVER GETS THIS FIRST :D

Which of the following is equivalent to 2 · (4 · 3)?

A. 2 + (4 + 3)
B. 2 x (6 x 4)
C. (2 x 4) x 3
D. 8

Answers

C It’s cccccccccccccccccccc

Answer:

C. (2 x 4) x 3

Step-by-step explanation:

Solve 2 x (4 x 3) = 24

Solve the other values to find one equivalent.

A. 2 + (4 + 3)  = 9

B. 2 x (6 x 4)  = 48

C. (2 x 4) x 3  = 24

D. 8 = 8

This leaves C as the only equivalent option.

A bakery uses 44 cups of flour to make 10 loaves of bread. How many cups of flour are there per loaf?

Answers

Answer: 4.4

Step-by-step explanation:

44 divided by 10

Answer:

4.4 cups of flour

Step-by-step explanation:

You would have to divide 44(cups of flour) by 10(loaves of bread) to get the amount of cups of flour for each loaf. 44/10=4.4

find th length of size ab give your answer to 3 significant figures

Answers

Answer: 8.856cm

Step-by-step explanation:

To solve the question, we will use the formula:

Sin 41° = opposite / hypothenuse

0.656 = opposite / hypotenuse

0.656 = AB / 13.5

Cross. Multiply

AB = 13.5 × 0.656

AB = 8.856cm

Keelin’s hourly rate went from $9.50 per hour to $10.26 per hour. What is the percent increase?

Answers

Answer:

8%

Step-by-step explanation:


Find the equation of the line whose slope is 1/3
and goes through the point (3, 1).

A. y= 1/3x
B. y= 1/3x + 1
C. y= 1/3x + 2
D. y= 1/3x + 8/3

Answers

Answer:

It means that when x = 3, y = 1, obviously when the first function expression takes 3, y = 1

True or False: The points (6,13) (21, 33) and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5. PLS HELP ASAP

Answers

Answer:

This is true look at picture for clarification

Answer:

True

Step-by-step explanation:

To see if the points all lie on the line y = 4/3x + 5, substitute their x and y values into the equation, solve, and see if the equation is true.

1) First, substitute the x and y values of (6,13) for the x and y in the equation and solve:

[tex]13 = \frac{4}{3} (6) + 5 \\13 = \frac{24}{3} +\frac{15}{3} \\13 = \frac{39}{3}\\13 = 13[/tex]

The result is a true equation. Thus, (6,13) is on the line.

2) Do the same with the point (21,33):

[tex]33 = \frac{4}{3} (21) + 5 \\33 = \frac{84}{3} +\frac{15}{3} \\33 = \frac{99}{3} \\33 = 33[/tex]

The result is a true equation. Thus, (21,33) is on the line.

3) Finally, do the same with (99, 137):

[tex]137 = \frac{4}{3} (99) + 5\\137 = \frac{396}{3}+\frac{15}{3} \\137 = \frac{411}{3} \\137 = 137[/tex]

The result is a true equation. Thus, (99, 137).

All three points are on the line, thus the statement is true.

Vincent van Gogh is making one-color versions of all his paintings. He uses the colors in the following order and then starts over from the beginning: red blue pink green a purple. what color is painting 31?

Answers

Answer:

The color of painting 31 is RED

Step-by-step explanation:

it should be red :)

Vincent vanThat answer is 37

Help pls I don’t know

Answers

Answer:

z-7

Step-by-step explanation:

hope this helped!

Solve for x
A )180
B)55
C)115
D)82.5

Answers

Answer:

55

Step-by-step explanation:

AB // DC

∠B + ∠C = 2x + 15 + x = 180

3x = 165

x = 55

Answer: B. 55

Step-by-step explanation:

You need to know that within one parallelogram, the same-side interior angles are supplementary angles, meaning that they add up to 180°.

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

Given

(2x+15)+x=180

Expand parenthesis

2x+15+x=180

Combine like terms

3x+15=180

Subtract 15 on both sides

3x+15-15=180-15

3x=165

Divide 3 on both sides

3x/3=165/3

x=55

Hope this helps!! :)

Please let me know if you have any questions

Solve the inequality for x.
22 >x-5

Answers

Answer:

x < 27

Step-by-step explanation:

22 > x - 5

Subtract x from both sides.

-x + 22 > -5

Subtract 22 from both sides.

-x > -27

Divide both sides by -1. Remember that when you multiply or divide an inequality by a negative number, the inequality sign changes direction.

x < 27

Expand and simplify (x − 3)(2x + 1)(3x - 2)

Answers

Answer:

6[tex]x^{3}[/tex]- 19[tex]x^{2}[/tex]+[tex]x[/tex]+6

Step-by-step explanation:

Answer:

6x³ - 19x² + x + 6

Step-by-step explanation:

Mental math Solve the equation n/10+5=12

Answers

Ok so n=70, I hope it’s right:)

10. Write an expression in simplified form to
represent the area of the trapezoid.

Answers

Answer:

48[tex]x^{7}[/tex]y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = [tex]\frac{1}{2}[/tex] × 4[tex]x^{5}[/tex] × (9x²y + 15x²y )

   = 2[tex]x^{5}[/tex] × 24x²y

   = 48[tex]x^{7}[/tex]y

The simplified expression for the area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

What is trapezium?

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

Trapezium.

Height = 4[tex]x^5[/tex]

Parallel sides are 15x²y and 9x²y.

The area of the trapezium.

= 1/2 x h x ( sum of the parallel sides )

Now,

Area of the trapezium.

= 1/2 x 4[tex]x^5[/tex] x (15x²y + 9x²y)

= 2[tex]x^5[/tex] x (15x²y + 9x²y)

= 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex]

Thus,

The area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

Learn more about trapezium here:

https://brainly.com/question/22607187

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