Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?

Answers

Answer 1

Answer:

63462 pies

Step-by-step explanation:

De la pregunta anterior, debemos encontrar el área del sector

La fórmula se da como:

θ / 360 × πr²

Dónde:

θ = 45 °

radio = 402 pies

Área del sector =

45/360 × π × 402²

= 63461.742399 pies

Aproximadamente el área de la ocupada por el parque = 63462 pies


Related Questions

1. If NK = 7 and KL = 15, find NL.


2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.

Answers

Answer:

NL = 13.26

x = 9.5

Step-by-step explanation:

Find the diagram attached

1) Given that NK = 7 and KL = 15

NL² =  KL² - NK²

NL²  = 15² -7²

NL²  = 176

NL  = 13.26

2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°

From the  rhombus;

m<JML = 120 degrees

m∠JMK + m∠LMK = m∠JML

8x-13 + 4x +19 = 120

12x + 6 = 120

12x = 120-6

12x = 114

x = 114/12

x =  9.5

Hence the valle of x is 9.5

32% of a number is 64 what is the number

Answers

Answer:

If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.

Step-by-step explanation:

200

Step-by-step explanation:

32% x = 64

(32/100)x= 64

0.32x=64

x=64÷0.32

x=200

What is (f • g) (x) ?

Answers

Answer:

=12x-3

Step-by-step explanation:

Stick g(x) in for x in the function of f(x)

f(x) = -4x+5

g(x) = -3x+2

f(g(x)) = -4( -3x+2) +5

         = 12x -8+5

         =12x-3  

A retailer sells a refrigerator for a list price of $1,200. The retailers cost was $850. What is the percentage of the markup?

Answers

Answer:

41%

Step-by-step explanation:

1200-850=350

350 is the markup, now we need the percentage

the orginal price was 850 so we just need to divide 350 by 850

we get 0.4117...

convert that to a percentage and we have 41% markup

I need help. Please 30 points if you know no links, or I will report you.

Answers

Answer: for first question answer is second option and other question answer is again b

Step-by-step explanation:

Firstly you already see that the median is increasing because it is first 403 and changing to 553. We can understand it increased

Please help first real answer will get brainliest

Answers

Answer:

6

Step-by-step explanation:

a1(n-1) + D

d = 6

Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?

Answers

Answer:

Number of kilometer he run in 3 week = 147 kilometer

Step-by-step explanation:

Given:

Cleiton's daily run = 7 km

Find:

Number of kilometer he run in 3 week

Computation:

Number of days in a week = 7

Number of days in 3 week = 7 x 3

Number of days in a week = 21 days

Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week

Number of kilometer he run in 3 week = 7 × 21

Number of kilometer he run in 3 week = 147 kilometer

What’s a converse in mathematics

Answers

Answer:

A converse is the result of reversing its two constituent statements.

Example, P-Q. Converse would be Q-P

In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P. ... Either way, the truth of the converse is generally independent from that of the original statement.

a right cone with base circumference 14 pi ft
and slant height 3 times the radius. Give answer in terms of pi

Answers

the answer is a batty fish with a Somali forehead

Find the second term of the arithmetic series described by a = -10, an = 26 and Sn = 200. 1. 1.5 2. -8.5 3. 16 4. 25

1. 1.5
2. -8.5
3. 16
4. 25​

Answers

Answer:

16

Step-by-step explanation:

mark it as the Brainliest

Write each absolute value in a box to show the order from least to greatest.

Answers

Answer:

From least to greatest: -12 -8 -2 5 11

Step-by-step explanation:

Please mark brainliest have a good day and i hope i helped :)

Answer:

(11)=(3)-(1)+(6)=6

Step-by-step explanation:

PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.

Answers

Sorry for the wrong answer

Answer:

0.46 Newtons

Step-by-step explanation:

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

f = k/d²

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

to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.

0.35 = k/8²

0.35 = k/64

multiply both sides by 64

22.4 = k

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

Work out F (rounded to 2 DP) when d=7 metres.

f = 22.4/7²

f = 22.4/49

f = 0.46

State if the two triangles are congruent.

Answers

Answer:

The triangles are congruent  by HL

Step-by-step explanation:

The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent

We know one leg is equal to the other by the red line.  The hypotenuse is the same since it is the same line.

The triangles are congruent  by HL

Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over

Answers

Answer:

2 1/4

Step-by-step explanation:

amount left of apple pie = 1 - 3/4 = 1/4

amount left of blackberry pie = 1 - 1/2 = 1/2

amount left of blueberry pie = 1 - 1/8 = 7/8

amount left of cherry pie = 1 - 5/8 = 3/8

amount left of peach pie = 1 - 3/4 = 1/4

add this figures together

1/4 + 1/2 + 7/8 + 3/8 + 1/4

2 4 + 7 + 3 + 2

8

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x

Answers

Answer:

Name:- Trinomial

Degree:- 5 [ the highest power of x is 5 ]

hope it is helpful to you

What is the value of the following expression? 2w - 6, when w = 6

Answers

Answer:

The answer is 6.

Step-by-step explanation:

Since w = 6 you would input the 6 where the w value is. Your equation should look like this: 2(6)-6

First you multiple the 2 x 6 which equals 12. After you minus 12-6 which equals 6. Therefore your answer is 6.

The slope of the line below? answer quickly

Answers

Answer:

D: - 2/7

Step-by-step explanation:

The gradient of the line is -2/7 because:

3-1 =2

-4-3=-7

2/-7

Please help this is due today!!

Answers

Answer:

81 grams

Step-by-step explanation:

if you use the calculator by putting in 7 for t in the equation: 100(0.97)^7

then  solve you get 80.79..... a big long decimal. round to the nearest whole number and you get 81

I need help with can you guys show me the work.

Answers

Answer:

Δy = 30 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 17.5°

Hypothenus = 100 ft

Opposite = Δy =?

The value of Δy can be obtained by using sine ratio as follow:

Sine θ = Opposite / Hypothenus

Sine 17.5 = Δy / 100

Cross multiply

Δy = 100 × Sine 17.5

Δy = 30 ft

Evaluate the following expression when r= 3 and t = 3.
(2 + r) - 11

Answers

Answer:

-6

Step-by-step explanation:

substitute

(2 + 3) -11

5 - 11

-6

Answer:

The answer is -6

Step-by-step explanation:

First, plug in the numbers into the original equation - (2+(3))-11

Then, simplify.  (5)-11

Simplify one more time.  -6

(I dont see anywhere to use the (t) in your equation)

Point slope form equations can be converted into slope intercept form. Distinguish whether the following
equations are the equations of the same line. Prove and explain your answer. Show your work for your
teacher to review.
y+ 1 = 5(x + 2) and y = 5x + 10
PLEASE HELP IM LITERALLY DYING

Please help I will give brainlist

Answers

Answer:

they are NOT the same

Step-by-step explanation:

y+ 1 = 5(x + 2) is  y = 5x + 9

distribute the 5 and get 5x + 10

when you subtract the 1 from both sides the 10 becomes a 9

Y-intercept = 5
Slope = 3

Answers

Answer:

the equation as intercept form is

y = 3x + 5

y= 3+5 is the answer hope u get it right

Will mark brainliest

Answers

Answer:

350

Step-by-step explanation:

Which of the following is equivalent to 5(4-m)-2(m+3)? *

don’t give me that link .

Answers

[tex]\longrightarrow{\green{Option\:1.\:(14\:-\:7m)}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]5 \: (4 - m) - 2 \: (m + 3) \\ \\ = 20 - 5m - 2m - 6[/tex]

Combining like terms, we have

[tex] = 20 - 6 - 5m - 2m \\ \\ = 14 - 7m[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1. Set up the proportion:

Answers

Answer:

[tex]x =24[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the blanks

1: Set up the proportion:

[tex]\frac{9}{6} = \frac{x}{16}[/tex]

2: Use cross product:

[tex]9(16)=6x[/tex]

3: Simplify:

[tex]144 = 6x[/tex]

4: Divide:

[tex]144/6 = 6x/6[/tex]

[tex]24 = x[/tex]

[tex]x =24[/tex]

Answer: 4 cm

Step-by-step explanation:

which of the following is equivalent to squareroot 8?

Answers

Answer:

2√2

Step-by-step explanation:


(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain

Answers

Answer:

It's A

Step-by-step explanation:

B is out, because each step increases the value linearly by 1

C is out, because each step increases the value linearly by 9

D is out, because each step increases the value linearly by 6

A increases fivefold per step

I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it

I will give anyone who can give me the right answer to the Brainist! I really need an answer!

Answers

Answer:

a. 49 ft (nearest ft)

b. 24.5 sec

Step-by-step explanation:

a. work out TOP

[tex] \sqrt{ {45}^{2} + {20}^{2} } \\ = 49.24 \\ = 49[/tex]

b.

[tex] \frac{49}{2} \\ = 24.5[/tex]

divide by 2 coz its 2 ft per second. so 49 ft for 24.5 sec

Answer:

49 feet

25 seconds

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

20² + 45² = c²

400 + 2,025 = c²

2425 = c²

Take the square root of both sides

c = 49.244289009

Rounded

49 feet

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

time

t = 49 /2

t = 24.5 seconds

Rounded

25 seconds

how many miles from the runaway airplane at the start of this approach.​

Answers

Answer:

it should be 41 ml I think.

ann and betty shared a sum of money in the ratio 2 : 3. ann received $120. what was betty's share?​

Answers

Answer:

Betty got $180

Step-by-step explanation:

If its 2:3 and 2 is 120,  that means 120/2 equals 60. 60*3=180

Step-by-step explanation:

the answer is 180 as the other person stated

Other Questions
Cmo expresaras la siguiente cantidad 1149,8x1018, en su equivalencia a notacin cientfica? "Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer. The relationship between the volume and mass of an element is Use elimination to solve the system of equations:3x + y = 10- 4x - 2y = 2Work: How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is theslant height, s, of the cone.) Answer the questions to find out.IUse 3.14 for it and round your answer to the nearest millimeter if necessary.1. What is the height of the cone? Explain how you found the height.Best complete answer will get mark brainiest Which of the following is an example of a conditional statement? area of a trapezium. How many significant digits are in the value 0.0050340? En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, cuntos vasos sirvieron? Cellular respiration definition ? Anyina Corporation has an actual profit of $80,000. The break-even point is $500,000 and the variable expenses are 60% of sales. Given this information, the margin of safety, based on actual sales, is: Part ARead paragraph 90 in the box.My last Author Question really is-how do you know if you might be awriter?What is the most important difference between the last question Joe asksMaureen and the other questions he asks?O A. The last question more compassionate, showing that Joe has grown to care for Maureen.OB. The last question is more clearly worded, showing that Joe haslearned to express himself well.OC. Joe asks the first three questions as part of the assignment but asksthe last question to get extra credit.O D. Joe asks the first three questions to learn about Maureen but asks thePart BWhich detail from the story that supports the idea that Maureen recognizes the difference identify in the answer to part a?A. She praises Joe for getting a good grade on his poem. B. She suggests that Joe should look for books by other writers. C. She tells Joe how happy it made her that he read one of her books. D. She explains how Joe has already demonstrated the traits of an affective writer. PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Could someone please help me please ASAP? Using the graph, determine the value of the slope.vCO 3What is the slope?42What is true about the graph?4-2-2IntroDone What makes Alicia drop the scallop? It squirts her face.Ron laughs at her.She becomes more afraid.It bites her hand. When Dianna does not know the outcome of each alternative until she has actually chosen that alternative, she is facing conditions of uncertainty time pressures confirmation bias emotional intelligence escalation of commitment Mr. Branson is the CEO for a social media firm and works with his office door closed. At the same time every hour he opens the door to see what his employees are doing. The employees have learned to work especially hard during the five minutes before and while the door is open. Their work pattern is typical of responses that are reinforced on a ________ schedule