Type the correct answer in each box. Spell all words correctly.
Mike and Charlie are facing each other. There is a flagpole exactly halfway between them. Their line of sight to the top of the flagpole is 16 feet, with an angle of elevation of 60°.

Mike and Charlie both calculated the height of the flagpole as shown below.

Mike's Calculation Charlie's Calculation

Examine Mike and Charlie's calculations and complete the statement below.

The person with the incorrect reasoning for the height of the flagpole is
, because he incorrectly selected the
function, when he should have utilized the
function.

Type The Correct Answer In Each Box. Spell All Words Correctly.Mike And Charlie Are Facing Each Other.

Answers

Answer 1

Answer:

Charlie is incoerre

Step-by-step explanation:

Given that :

Line of sight to top of flagpole = 16 feets

Angle of elevation = 60°

The height of the flagpole :

Applying trigonometry to the drawing in the attached picture :

We use:

Sinα = opposite / hypotenus

This enables us to use the value of the hypotenus (line of sight) to obtain the missing height value (h)

Sin(60°) = h / 16

h = 16 * sin 60

h = 16 * 0.8660254

h = 13.856406

Hence flagpole is about 13.86 feets high

Charlie's reasoning is incorrect, the line of sight constitutes the hypotenus and not Adjacent and hence, shoul

Type The Correct Answer In Each Box. Spell All Words Correctly.Mike And Charlie Are Facing Each Other.

Related Questions

PLZ HELP I BEG I REALLY NEED HELP :)

Answers

Answer:

A

Step-by-step explanation:

A. Ur welcome if it’s wrong sorry

which of the following recurisive formula's represents the same geometric sequence as the formula an=2x3^(n-1)

Answers

Answer:

{a1=2

{an =an-1 (1/2)

Step-by-step explanation:

a1 = 2(1/2)0 = 2

a2 = 2(1/2)1 = 1 = a1(1/2)

a3 = 2(1/2)2 = 1/2 = a2(1/2).

an = an-1(1/2)

Answer:

[tex]a_{n}[/tex]= [tex]3[/tex] · [tex]a_{n}[/tex] -1.

hghghgghgghghghghghghghgghhgghhghghghghghghghghhghghghghghg

Answers

wow thanks is the answer

megan solved the following exponential equation for x. what did she do wrong​

Answers

Answer:

take a better photo this is blurry

Step-by-step explanation:

Question 3 of 10
Which choice is the solution to the inequality below?
8x <56

A.x >27
B.x < 7
C.x <48
D.x < 8

Answers

Answer:

That is quite simple,7 is the best choice

how to solve using Substitution or Elimination?
y=3x-1

y=2x+2

Answers

By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y =      4

Subtract x from both sides of the first equation

- x =  - 1

y =      4

Divide the first equation by (-1)    

x =  1

y =  4

So, the solution is  x = 1  and  y = 4   {or: (1, 4)}

Can someone pls help me?

Answers

Answer:

BCD?

Step-by-step explanation:

You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50
per week, but would like to work no more than 10 hours per week.
Which system of inequalities, along with y0 andx
0, would you use to solve the real-world problem?

Answers

The required inequalities are x + y ≤ 10 and 5x + 10y ≥ 50

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.

Let, you work at grocery story (x), and you work mowing lawns (y)

You want to work no more than 10 hrs

So, first inequality will deal with hrs.

x + y ≤ 10....(i)

A less than or equal to sign tells that you do not want to work more than 10 hrs, but you can still work 10 hrs, so we include the equal sign as well.

And,

Grocery store (x) earning $5 per hr and lawn mowing (y) earning $10 per hr, making at least $50...

Now we will make an inequality dealing with the $

5x + 10y ≥ 50.....(ii)

A greater than or equal to sign tells that, you want to make 50 or more, so we include the equal sign.

So, the inequalities are :

x + y ≤ 10

5x + 10y ≥ 50

Learn more about inequalities, click;

https://brainly.com/question/30231190

#SPJ1

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,2) and (2, -6)
Answer: _____

Answers

Answer:

         d = 10

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-4,2)\quad\implies\quad x_1=-4\,,\ y_1=2\\\\(2,-6)\quad\implies\quad x_2=2\,,\ y_2=-6\\\\d=\sqrt{(2+4)^2+(-6-2)^2}= \sqrt{6^2+(-8)^2}= \sqrt{26+64}= \sqrt{100}=10[/tex]

Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
a) 5(x - 2) - 6 = 24
b) 22 = (3x+5) - 18
c) -48 = -4(2x+5)+ 5x - 1

Answers

Answer:

a) 5x=8 use a calculator and use distributive property

b) 22=3x+5 -18

22=3x-13

9=3x

x=3

distributive property

c)-48= -8x-20+5x-1

-48= -3x-21

-27= -3x

x=7

distributive property

Step-by-step explanation:

What is the slope of the line y= -121x + 200 ??

Answers

Answer:

Slope = - 121

Step-by-step explanation:

Step 1:

y = mx + b         Slope Intercept Form

Step 2:

m = Slope      

Step 3:

y = - 121x + 200        Equation

Answer:

Slope = - 121

Hope This Helps :)

Answer:

-121X

Step-by-step explanation:

In an equation, x= the slope, and the number that comes after is the y intercept. So 200 would be where the line starts, and would have a negative slope of -121x

I hope this helps! :)

The bakers at the healthy bakery can make 160 bagels in 10 hours how many bagels contain make in 16 hours

Answers

Answer:

256

Step-by-step explanation:

divide 160 by 10 to get the bagels per hour then times 16

need help asap
please

Answers

10a + 2 + 5a - 2 = 180
15a = 180
/15 /15
a = 12


10(12) + 2
120 + 2
122


MAngle XYQ = 122°

help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Plug in, combine, solve.

[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube

Answers

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.

What is volume?

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

Volume of square pyramid  = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = volume of cube / volume of pyramid

Number of times = 125 in³ / 65.1 in³ = 1.92

Learn more about volume

https://brainly.com/question/17615619

#SPJ5

Pls help
A.
B.
C.
D.

Answers

Answer:

The answer is A so put it

The answer is A :) hope this helps

If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3

Answers

Answer:

y=-f(x)-3

Step-by-step explanation:

when f is negative it is reflected over the x-axis and -3 means to translate 3 units down

y = -f(x) – 3 describes the graphed function.

When f is negative it is reflected over the x-axis.

-3 means to translate 3 units down.

How do you identify a function?

By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.

What are examples of graph functions?

Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.

Learn more about graph functions here: https://brainly.com/question/4025726

#SPJ2

the area of a rectangular concrete patio is 70 square meters the perimeter is 34 meters what are the dimensions of the patio

Answers

Answer:

7 and 10

I hope this is correct and helps.

Answer:

7 and 10 because

perimeter you add all sides together like :

7 +7 +10 +10

14+20

34 (which checks out)

and then for area you multiply length and width and 7 x 10= 70 which checks out

Step-by-step explanation:

Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?

Answers

ABCD describes a rhombus.

A bakery has 36 glazed donuts on display. This is 80% of the total number of donuts. What is the total number of donuts in the bakery?

Answers

Answer:

it is 64.8, but you have to round to the nearest number, so i would say 65 :)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

% means out of 100, so 80% is 80/100

Let's divide 100/80 to find a scale we can use to multiply 36, 100/80 =

36 times 1.25 = 45

There's 45 donuts

Double check:

45(80/100) = 36, we're right

uhhh help me , i give brainliest

Answers

Answer:

36

Step-by-step explanation:

x² + 12x - 40 = 0

x² + 12x    = 40

Now, 12/2 = 6. So add 6² = 36 to each side

x² + 12x + 36 = 40 +36

Maddie has saved $375 for a new mountain bike. Her grandmother will also give her
$215 to help pay for the bike. Which inequality can be used to find p, the price of the
bike that Maddie can afford?

Answers

Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

I need help anyone I'll give you 50 points, asap !!!​

Answers

Answer:

Step-by-step explanation:

d

Answer:

Letter d

Step-by-step explanation:

pls mark this as brainliest! thx :)

Which of the following shows the lengths of the sides of a right triangle?

A. 2, 3, 4

B. 5, 7, 11

C. 6, 8, 10

D. 8, 12, 15

Answers

Answer:

C

Step-by-step explanation:

use the formula a²+b²=c²

PLEASEE answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

4 boys and 5 girls ratio (4:5)

4:5 ratio

hope this helps

Witch value of x makes the equation 24x+16=-2(6x-8) true?

Answers

Answer:

X = 0

Step-by-step explanation:

Because if X equaled 0 then both sides would be equaled to 16.

I need help on this please

Answers

Answer:

25/3

Step-by-step explanation:

Set the equations equal to each other since the lines are parallel.

(x+20)=(4x-5)

-x  +5       -x   +5

25/3 = 3x/3

x = 25/3

Since these equations are consecutive interior angles, they will add up to 180.
The equation will be (x+20)°+(4x-5)°=180.

(x+20)+(4x-5)=180
5x+15=180
5x=165
165/5x
=33°

You can make sure your answer is correct by putting your x back into the equation.
(33+20)+(4•33-5)
53+132-5
53+127
180

The price of a holiday was decreased by 12% to £600. What was the price before the decrease?
Give your answer to the nearest penny

Need this ASAP thanks

Answers

Answer:

The original price of the holiday was $ 681.81.

Step-by-step explanation:

As the price of the holiday was reduced by 12% to a value of $ 600, it can be said that this price is 88% of its original price (100 - 12). Therefore, to determine the original price of the holiday, it is necessary to perform the following calculation:

88 = 600

100 = X

(100 x 600) / 88 = X

60,000 / 88 = X

681.81 = X

Therefore, the original price of the holiday was $ 681.81.

At Imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not? Choose 1 answer:

Answers

Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:

-8 x f(1) - 4 x g(4) =

Answers

Answer: -8xf-16xg

Step-by-step explanation:

Other Questions
what is angle 1,2,3,4,5,6,7 If you have a piece of brass and a piece of aluminurn that have the same volume, which will have a larger mass? (23 PTS) WILL GIVE BRAINLIST Fix the one plural or possessive error.During travel-heavy times of year, gasoline prices' tend to rise due to people'sincreased demand for fuel. The Venn diagram shows similarities and differences between conflict signs and stress. According to thediagram, what is getting defensive a sign of?a. A growing conflictc. Being stressedb. Both a growing conflict and being stressed d. None of the above What is Newton's 1-3rd laws of motion? Give examples for each Lawrence is writing a mystery series about a junior detective named Dillon. His first story is about a stolen horse. In order to encourage readers to read the next book in the series, what should Lawrence include in this story's conclusion? A. a new conflict for Detective Dillon B. information about the horse's appearance C. an interesting fact about horses D. details about Detective Dillon's love of horses Mark, a project manager for a bottling company, has a $500,000 budget. As of today's date, $100,000 has been spent on the project. What is the project's actual cost?a. $500,000b. $400,000c. $250,000d. $100,000 Dan earns 9.90 per hour. How much will he earn for 4 hours work? You earn 18n dollars. How much do you earn for mowing 3 lawns? 9 lawns? Luisa's restaurant bill comes to $85.50, and she leaves a 18% tip. What is Luisa's totalrestaurant bill? Answer A 15 B 100C 120 D 148 What is the difference between the geographic North Pole and the magnetic north pole? Can someone help me with this What do we call money which is used for investment One of two 25-year-old identical twins begins a trip on a spaceship traveling at 0.8 c while her twin remains on Earth. The twin on Earth tracks her twin's trip for 10 years. After ten years, what age is the twin on the spaceship according to the twin on Earth?a. 41.7 years old.b. 35 years old.c. 31 years old.d. 37.5 years old. Solve for a 1/2 a-9=11 Read this scene from The Miracle Worker Act 3.(ANNIE is now alone on the stage. She turns, gazing around at the stripped room, bidding it silently farewell,impassively, like a defeated general on the deserted battlefield. All that remains is a stand with a basin of water....)How do these stage directions add meaning to the play?O The stage directions show Annie's manner of speaking.O The stage directions illustrate the appearance of the room.O The stage directions reveal the historical time period.O The stage directions describe how characters react to Annie. HELP!!! VERY CONFUSED???? what is the equation of a line that has a slope of -5 and passes through the point (0,2) a)y= -5x b)y= -5x + 2 c)y = 2x - 5