8.
10 points
A telephone pole casts a shadow 8 ft long when the sun's rays strike the
ground at an angle of 50°.
Approximately, how tall is the pole?
A. 5.14 ft
B. 6.13 ft
C. 6.71 ft
D. 9.53 ft
А
B

Answer:

<

>

Step-by-step explanation:

We have two sets of numbers and are asked to compare using the <, >, = symbols.

Remember :

< means less than

> means greater than

= means equal to

One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?

874,223.

<

Now for the second set,

>

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

Hope It Helps!

Answer:

3x7

Step-by-step explanation:

7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21

Answer:

$6.89

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89

Answer:

Step-by-step explanation:

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]

Answer:

True

Step-by-step explanation:

Answer:

The unknown is 44

Step-by-step explanation:

We need to solve for x in the proportion given by :

11 / 1 = x / 4

multiply both sides by 4 to isolate x

11 * 4 / 1 = x

x = 44

Answer:

11

Step-by-step explanation:

just flip the problem around 14+q=25

then do 25-14

Thats your Q

Answer: No

Step-by-step explanation:

you just gotta keep trying and ill help u

1. 6/7

2. 3/5 is already in its simplest form

3. 5 2/9

Answer:

c.it offer lower interest rates

Answer:

C

Step-by-step explanation:

I think it would be easiest to see these numbers in decimal form to determine which number is the greatest and which is the smallest.

2 as a decimal=2.0

Square root of 7 as a decimal= 2.64575131106

1/3 as a decimal= 0.3333333333333333333333333333333333333333333...

So, 0.3333333...<2.0<2.64575131106

or 1/3, 2, square root of 7

Answer is C

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

x=2

y=6  

x and yt are different variables

Answer:

999

Step-by-step explanation:

[tex]log(x)=y\\x=10^y\\log(x+1)=3\\x+1=10^3\\x=999[/tex]

Answer:

im sorry but id ont know

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

Answer:

x is less than or equal to 3

Step-by-step explanation:

The dot is a closed dot, which means that it is something or equal to, and the arrow is pointing down, which means less than. So the sign would be less than or equal to (sorry I don't have that sign on my computer). The dot is on three, so the inequality is x is less than or equal to 3.

Answer:

0.193

Step-by-step explanation:

Answer:

its 4.00%

Step-by-step explanation:

9514 1404 393

Answer:

  $1.87 per guest for quantity used

  $1.91 per guest for whole bottles used

  $3.06 per guest for whole cases used

Step-by-step explanation:

The cost of the beverage is ...

  ($189.43/case)(1 case/(12 bottles))(1 bottle/(750 mL)) = $0.02104777.../mL

Each guest consumes 6 cocktails of 0.5 floz each, so ...

  (6 drinks/gues)(0.5 floz/drink)(29.5735295625 mL/floz) ≈ 88.7205 mL/guest

Then the cost per guest is ...

  ($0.02104777.../mL)(88.7205 mL/guest) ≈ $1.86737/guest

The cost per guest for the amount used is about $1.87.

__

The total amount of drink used for all guests is ...

  124(88.7205 mL/guest) ≈ 11,001.4 mL

At 750 mL per bottle, this is ...

  (11,001.4 mL)/(750 mL/bottle) ≈ 14.7 bottles

If you're constrained to pay for 15 bottles, then the cost per guest is ...

  $189.43(15/12)/124 = $1.91 per guest

__

At 12 bottles per case, this is ...

  (14.7 bottles)/(12 bottles/case) ≈ 1.2 cases

If you're constrained to pay for 2 cases, then the cost per guest is ...

  $189.43(2)/124 = $3.06 per guest

Compute the first few derivatives to reveal a pattern:

f(x) = x sin(x)

f '(x) = x cos(x) + sin(x)

f ''(x) = (-x sin(x) + cos(x)) + cos(x) = -x sin(x) + 2 cos(x)

f '''(x) = (-x cos(x) - sin(x)) - 2 sin(x) = -x cos(x) - 3 sin(x)

f ''''(x) = (x sin(x) - cos(x)) - 3 cos(x)) = x sin(x) - 4 cos(x)

f ⁽⁵⁾(x) = (x cos(x) + sin(x)) + 4 sin(x) = x cos(x) + 5 sin(x)

f ⁽⁶⁾(x) = (-x sin(x) + cos(x)) + 5 cos(x) = -x sin(x) + 6 cos(x)

f ⁽⁷⁾(x) = (-x cos(x) - sin(x)) - 6 sin(x) = -x cos(x) - 7 sin(x)

f ⁽⁸⁾(x) = (x sin(x) - cos(x)) - 7 cos(x) = x sin(x) - 8 cos(x)

and so on.

The pattern should be clear: for some integer k,

• if n = 4k, then f ⁽ⁿ ⁾(x) = x sin(x) - n cos(x)

• if n = 4k + 1, then f ⁽ⁿ ⁾(x) = x cos(x) + n sin(x)

• if n = 4k + 2, then f ⁽ⁿ ⁾(x) = -x sin(x) + n cos(x)

• if n = 4k + 3, then f ⁽ⁿ ⁾(x) = -x cos(x) - n cos(x)

80 is a multiple of 4, so the 80th derivative falls in the first category. Then

f ⁽⁸⁰⁾(x) = x sin(x) - 80 cos(x)

Answer:

11

Step-by-step explanation:

Answer:

2) 98/15 meters

21/5 + 7/3 = 63/15 + 35/15 = 98/15

3) 7/12 of the loaf

1/3 + 1/4 = 4/12 + 3/12 = 7/12

4) 19/8 inches

9/8 + 5/4 = 9/8 + 10/8 = 19/8

5) 73/6 cups

29/3 + 5/2 = 58/6 + 15/6 = 73/6

Let me know if this helps!

Answer:

wrong

Step-by-step explanation:

go to my crib and eat his pickles