100 points!!! PLEASE ANSWER IT HOW I HAVE IT IN ORDER!!

On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.

(a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.

(b) Calculate the area of the red triangle to find the area of the garden. Show your work.

(C) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?

Part B: The second link is for this part!!!!

(d) The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.

(e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.

Answers

Answer 1

Answer:

a^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse

90^2 + 120^2 = c^2

8100 + 14400 = c^2

22500 = c^2.....take the sq rt of both sides...this gets rid of the ^2

sq rt 22500 = c

150 = c

so side a = 90 ft, side b = 120 ft, and side c = 150 ft

this is called the pythagorean theorem and it only works on right triangles

Step-by-step explanation:

done sorry if im wrong


Related Questions

It takes Sui 15 minutes to make 5 bracelets. At this rate , how many minutes will it take Sui to make 60 bracelets?

Answers

Answer:

60/5 = 12

15 x 12 = 180 minutes

The following tables show some values from three different functions. which of these functions could be quadratic?

Answers

Answer:

C. III only

Step-by-step explanation:

a quadratic function means that as the maximum power in its arguments it is squaring 1 or more items.

so, let's look at the tables.

table I shows the powers of 2. y = 2^x

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

so, it is not saying anything in general.

table II shows an "identity" equation. y = x

0 = 0

1 = 1

2 = 2

3 = 3

this does not square anything.

table III shows then finally a square equation. y = x^2

0^2 = 0

1^2 = 1

2^2 ≈ 4

3^2 = 9

hurray !

simplify r +5/2 + r-4 /3​

Answers

Answer:

      2r+7/6

Step-by-step explanation:

Answer:

2r +7/6

Step-by-step explanation:

See the steps below:)

Does anyone know the answer to this question?

Answers

It’s 7 because 7 times 7 is 49

4. If f(x)=2x+3(x+4)+5 then f(6)=?

Answers

Answer:

f(6)=42

Step-by-step explanation:

We know that the equaiton is f(x)=2x+3(x+4). So that means when it is f(6), we plug in 6 into all of the x. Therefore, the equation will be f(6)=2(6)+3(6+4). We combine like terms to get f(6)=12+3(10). We do 3x10 which is equal to 30. f(6)=30+12. 30+12=42. f(6)=42. Therefore, f(6)=42.

If this has helped please mark as brainliest

Answer: 47

Step-by-step explanation:

That just means replace the x’s with 6 in the equation. So 2*6+3(6+4)+5. 6+4 is 10, 2*6 is 12. So the equation is now 12+3(10)+5. 3*10 is 30. 12+30+5=47.

if the sum of two number is 37 and the greater number exceeds the smaller by 5, find the numbers.​

Answers

Answer:

21 and 16

Step-by-step explanation:

x= big number

x`-5 = small number

x + x-5 = 37

2x-5 =37

2x= 42

x = 21

       21-5 = 16

21+16 = 37

What is the volume of this prism?

Answers

Answer:

56.3

Step-by-step explanation:

The third one.

Answer:

is your answer option no 3 is correct

I hope is helpful

What is the sum of the of what is the sum of the given arithmetic series?
5 + 8 + 11 + ... + 92
O 1554
O 1545
O 1455
O None of these

Answers

Answer:

3rd option : 1455

Step-by-step explanation:

here, a = 5, d = 3 , tn = 92, n = ?, Sn = ?

tn = [a + (n - 1) d]

92 = [ 5 + (n - 1)d

92 = 5 + 3n - 3

92 - 5 + 3 = 3n

90 = 3n

n = 90/3

n = 30

By sum of first n terms of an A. P formula,

Sn = n/ 2 [ 2a + (n - 1) d]

Sn = 30/2 [ 2 * 5 + (30 - 1) 3]

Sn = 15[ 10 + 29 ( 3) ]

Sn = 15[ 10 + 87 ]

Sn = 15( 97 )

Sn = 15 * 97

Sn = 1455

Therefore, option 3rd 1455 is correct.

What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4

Answers

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

At the football game, Joe carried the ball four different times. He had a loss of 15, a gain of 2, a loss of 5, and a gain of 7. What was his total yardage?
A. -29 yards
B. -20 yards
C. 9 yards
D -11 yards

Answers

15+2=17-5=12+7=20 B: -20 yards

Help please it’s a text

Answers

Answer:

D

please mark brainlist!!! please

Answer:

d

Step-by-step explanation:

study of interactions among organisms and between

Find the circumference when the diameter is 12.4cm

Answers

Answer:

circumference = 3.14×12.4

circumference =38.936

product of -6/13 and reciprocal of -7/16 is ____________.​

Answers

Step-by-step explanation:

-6/13*-16/7

+96/91

I hope it helps you

Answer:

[tex]\frac{96}{91}[/tex] or 51.69

Step-by-step explanation:

[tex]\frac{-6}{13}[/tex] x reciprocal of [tex]\frac{-7}{16}[/tex]

Reciprocal of [tex]\frac{-7}{16}[/tex] is [tex]\frac{-16}{7}[/tex]

So, the equation would be:-

[tex]\frac{-6}{13}[/tex] x [tex]\frac{-16}{7}[/tex]

= [tex]\frac{96}{91}[/tex]

The product would be [tex]\frac{96}{91}[/tex].

Simplified form of this is 51.692

HELP PLEASE. A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?
Options:

A: 40
B: 1
C: 3
D: 10

Answers

Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

Lydia buys peanut butter in bulk for $0.20 an ounce. How much does 18 ounces of the peanut butter cost? ​

Answers

Answer:

3.6 dollars

Step-by-step explanation:

Lets go over what we know:

Each ounce of penut butter cost 0.2$, or 1/5$

We need 18 ounces.

To solve this, lets multiply the cost per ounce by the amount of ounces:

0.2*18

Or

1/5*18

=

18/5

This can be simplfied into:

3 3/5

We know each 1/5 is 20 cents(0.2), so 3 cents would be 3*0.2 = 0.6:

3.6 dollars

So the answer is for 18 ounces, it cost 3.6 dollars.

Hope this helps!

find the value of “x”pls help

Answers

Answer:

73 degrees

Step-by-step explanation:

180-127=53

53+54= 107

180-107

= 73 degrees

Mark me the brainliestt :))

Order the lengths of the sides of triangle ABC from greatest to least Angle A = 78° angle B = 56° and angle C = 46°

Answers

Answer:

AC ; BC ; AB

Step-by-step explanation:

Given the triangle attached :

Using visual cue, we can detect the and order the length of the sides of the triangle from greatest to least as follows :

Greatest = AC

Followed by BC ;

Then ; AB

Hence. We have ;

AC ; BC ; AB

What is the area, in square centimeters, of an equilateral triangle with a perimeter of 15 centimeters? Round the answer to the nearest tenth.

Answers

Answer:

A≈10.83cm²

Step-by-step explanation:

Unit Conversion:

P=15cm

Using the formulas

A=3

4a2

P=3a

Solving forA

A=3P2

36=3·152

36≈10.82532cm²

Answer:

10.8 cm^2 to nearest tenth.

Step-by-step explanation:

You can use Hero's formula to do this:

Area = √[s(s-a)(s-b)(s-c)]   where s = semi-perimeter,  a b and c are the lengths of the 3 sides,

Here s = 15/2 = 7.5 and a, b and c = 5.

area = √(7.5 * 2.5 * 2.5 * 2.5)

= √117.1875

= 10.8253.

Another method would be to use trigonometry

h = 5 sin 60 and 1/2 * base = 1/2 * 5 = 2.5

So area = 5 sin60 * 2.5 = 10.8253,

-7n = 84 round to the nearest hundredth​

Answers

Answer:

n=-12

Step-by-step explanation:

Divide 84 by -7 and you get -12

I need answer immediately!!!!!!

Answers

Answer:

y = -2/3x - 5

Step-by-step explanation:

marking brainlist.........

Answers

Answer:

2.5d

hope this helps

have a good day :)

Step-by-step explanation:

Paul is comparing two high-speed Internet service providers (ISPs) for his business. The graph represents the cost of each ISP as a function of t, the duration in months of a service contract.

A coordinate grid showing Internet Service Provider Cost, with Service Contract in months along the horizontal axis, and Total Cost in dollars along the y-axis. Two lines are graphed. One line is labeled I S P A and passes through (0, 180) and (12, 300). The second line is labeled I S P B and passes through (0, 0) and (12, 300).

If C(t) = 180 + 10t represents ISP A and C(t) = 25t represents ISP B, how long would the service contracts need to be for the total costs to be the same?

6 months
8 months
10 months
12 months

Answers

Answer:

12 months

Step-by-step explanation:

Theres an awful amount of needless information to get through.

Only the last paragrph is needed.

C(t) = 180 + 10t

C(t) = 25t

Set the equations equal

25t = 180 + 10t

Subtract 10t from both sides

15t = 180

Divide both sides by 15

t = 12

Answer:

12 months

Step-by-step explanation:

edg 2022

Sandra prepared 15 kilograms of dough after working 3 hours. How many hours did Sandra
work if she prepared 20 kilograms of dough? Solve using unit rates.
hours

Answers

Answer:

4 hours  

Step-by-step explanation:

4 hours because if 15 is 3 hours. count by 5. 5 kilograms of dough would be 1 hour, 10 kilograms of dough would be 2 hours leaving 15 at 3 hours and 20 kilograms at 4 hours.


10
वाल
8
What is the
solution to
this system
of equations?
6
4-
2+
([?]
-2
8
10
2

Answers

Answer:

(7, 4)

Step-by-step explanation:

The solution to the system of the 2 equations represented on the graph by the two lines is the c

x and y coordinates of the point where the two lines intersect.

They intersect at when x = 7, y = 4.

Therefore, the solution to the system of equations would be (7, 4).

Help with math word problem grade 9 level

Answers

Answer:

356.1m

Step-by-step explanation:

use pythagoras theorem

where the imaginary line is hypotenuse

using the formula

square of hypotenuse= square of perpendicular +square of base

Garrett throws a dart at a circular dart board. The dart board has a radius of 16 inches, and the bull's eye in the center of the dart board has a radius of 6 inches
What is the probability that a dart thrown at random within the dartboard will hit the bull's eye? Round your answer to the nearest tenth, if necessary
A. 37.5%
B. 26.7%
C. 7.1%
D. 14.1%

Answers

Answer:

C. 7.1

Step-by-step explanation:

Answer:

The probability that a dart thrown at random within the dartboard will hit the bull's eye is 14.1%

Step-by-step explanation:

[tex]The probability is found by dividing the area of the bull's eye by the total area of the dart board:\[\large P(bull's\ eye)=\frac{\pi\ 6^{2}}{\pi\ 16^{2}}=\frac{36}{256}=0.1406\]Therefore your answer of 14.1% is close.[/tex]

#SPJ2

The table shows how three cell phone companies charge for minutes.
Cell Phone Plan Comparison
Company Number of Minutes per Month
100 200 500 1200
Mobile Plus $20 $30 $40 $50
Cellular Prime $10 $20 $50 $60
Nation Mobile $5 $10 $25 $60
For which company or companies is there a proportional relationship between the number of minutes and the monthly cost?
A
Mobile Plus only
B
Nation Mobile only
С.
Nation Mobile and Cellular Prime

Answers

The answer to this question is A

please please help me asap! Which set of numbers correctly identifies the lower extreme, the lower quartile, the median, the upper quartile, and the upper extreme for the data set given?

76, 59, 63, 57, 88, 67, 81, 72, 52, 61, 89

1. {52, 60, 67, 79, 89}
2. {52, 59, 67, 81, 89}
3. {52, 60, 67, 81, 89}
4. {52, 58, 67, 79, 89}

Answers

Answer:

3. {52, 60, 67, 81, 89}

Step-by-step explanation:

Shirts are $12 each and Mary has no more than $48 to spend.How many shirts can she purchase

Answers

Answer:

4 shirts

Step-by-step explanation:

$48/$12= 4 shirts

Hope this helped! :)

Wayne earned a total of $8 by selling 4 cups of lemonade. After selling a total of 5 cups of
lemonade, how much money will Wayne have made in all? Solve using unit rates.

Answers

Answer:

$10

Step-by-step explanation:

Unit rate

$8/4cup = $2/cup

Therefor

5 cups * $2/cup = $10

Answer:18$

Step-by-step explanation:first you wanna see the rate 8 dollars for 4 cups so 8/4 gives you 2.The rate is 2 dollars per cup.

So now we have to find how much 5 cups is worth.Since we know how much each lemonade cost we just have to plug it all in!So 5*2.Is 10 and we also made 8 bucks from the first 4 cups.

Now that we know that we sold 8$ the first time and 10$ the second we add them all up to give you “18$“total

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