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.

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.

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

Answer:

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]

wow thanks is the answer

Answer:

take a better photo this is blurry

Step-by-step explanation:

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

Answer:

C

Step-by-step explanation:

use the formula a²+b²=c²

Answer: -8xf-16xg

Step-by-step explanation:

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:

Answer:

That is quite simple,7 is the best choice

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

Answer:

The answer is A so put it

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]

Answer:

256

Step-by-step explanation:

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

Answer:

BCD?

Step-by-step explanation:

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.

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

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

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! :)

Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

Answer:

Step-by-step explanation:

4 boys and 5 girls ratio (4:5)

4:5 ratio

hope this helps

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:

Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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

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.

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.

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

#SPJ2

Answer:

Step-by-step explanation:

d

Answer:

Letter d

Step-by-step explanation:

pls mark this as brainliest! thx :)

Answer:

X = 0

Step-by-step explanation:

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

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

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.