14. The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole.

Answers

Answer 1
7
It would be about 6.7 ft

Related Questions

Question 1

To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.


a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.


b. What does the coefficient of the expression in part (a) represent?

Answers

Answer:

1a. 195x

1b. 195

Step-by-step explanation:

1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.

1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient

hope this helps!

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Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

Let be a line whose equation is:

[tex]a\cdot x + b\cdot y = c[/tex] (1)

Whose explicit form is:

[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.

The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.

There are two facts:

A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.

Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].

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Jorge heard that as a general rule, he should save at least 10% of his take-home pay. If Jorge’s take-home pay is $2950 per month, what is the minimum amount per year that he should save?

Answers

Answer:

$295

Step-by-step explanation:

2950 · 0.10 =  295

can someone plssssssss help me

Answers

Answer:quizlet helps

Step-by-step explanation:

hello need help question below​

Answers

What’s the question?

What is 4/5 divied by 2/5

Answers

Answer:

2

Have a nice day :D

Answer:

2

Hope this helps

5/50 divided by 15/30 solve it out for me please

Answers

Answer:

1/5

Step-by-step explanation:

First and foremost, I want to simplify these fractions, just to make everything a lot easier when I actually get to dividing. 5/50 can be divided by 5/5 to get 1/10, and 15/30 can be divided by 15/15 to get 1/2. So, now we're dividing 1/10 by 1/2.

To divide fractions, we can multiply the first fraction (in this case, 1/10) by the reciprocal of the second fraction (in this case, 1/2). The reciprocal of 1/2 is 2, so we can multiply 1/10 by 2 to find our answer. 1/10 × 2 = 2/10, or 1/5, so this is our final answer.

Hopefully that's helpful! If you have any further questions, let me know. :)

The quotient of given fractions is 1/5.

Given that, 5/50 divided by 15/30.

What are fractions?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Now, 5/50 ÷ 15/30

Keep the first fraction 5/50 same change the division symbol and reciprocate the fraction 15/10

That is, 5/50 × 30/15

= 1/10 × 2/1

= 2/10

= 1/5

Therefore, the quotient of given fractions is 1/5.

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Can someone help me please

Answers

50 would be your answer because it is adding 15 each time

2cosAcosB =

• cos(A + B) + cos(A - B)
• sin(A - B) + tan(A + B)

Answers

Answer:

2cosAcosB = cos( A + B ) + cos( A - B )

2/5 x 7/9 = ( fractions )

Answers

Answer:

32/45 is your required answer

Answer:

your answer will be 14/45

Step-by-step explanation:

2/5 × 7/9

= 2 × 7

  5 × 9

= 14/45

What is a 15% tip on a meal that costs $38.40?

Answers

so first u need to find 15% of $38.40 so that will be $5.76 (0.15x38.40) !

Answer:

its $5.76

Step-by-step explanation:

because $38.40 / 15 is $5.76

Ive been trying to get this question but i still cant seem to understand it please help

Answers

Answer:

D:x=2

Step-by-step explanation:

Rest of the triangle is just a distraction. The distance from B to any point in the bysector is the same as the distance from C to the same point (you can look at BDF and CDF and notice they're congruent by SAS). at this point it's just solving

[tex]2x + 3 = 4x - 1 [/tex]

which has 2 as a solution

The ages of the students in a statistics class are listed below. If the 18-year-old student has a birthday and turns 19, how will it affect the mean and median ages of the class?

Ages: 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

A
Both the mean age and the median age will increase.

B
The mean age will increase, and the median age will remain the same.

C
The mean age will remain the same, and the median age will increase.

D
The mean age will remain the same, and the median age will decrease.

Answers

A is believe I’m not 100% sure

The mean age will increase, and the median age will remain the same.

Option B is the correct answer.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Ages:

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

The mean of the ages.

= (14 + 15 + 15 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 17 + 18) / 13

= 211/13

= 16.23

The median of the ages.

= 16

Now,

18 becomes 19.

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 19.

Mean = 212/13 = 16.3

Median = 16

Thus,

The mean age is increased.

The median is the same.

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Pls help plz thank you

Answers

Answer:

14, 31, 62

Step-by-step explanation:

11 + 3 = 14

14*2 = 28

28 + 3 = 31

31*2=62

Function 1 is defined by the equation y=-1/4r-5

Answers

Step-by-step explanation:

and what is function 2 ?

but I think I can risk a guess based on the little piece of the graph I can see.

the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.

in other words, it is the y-value when x = 0.

the y-intercept of function 1 is therefore -5.

and the picture suggests that the visible line would cross the y-axis at about y=-6.

as -5 is greater than -6, function 1 has the greater y-intercept.

The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was 6 °C.
What is the mean temperature for the first 8 days in January?

Answers

The mean temperature would be 5 c.
You figure this out by adding both values, 4 and 6, and dividing it by 2 because there are 2 values. So the equation would be 4 + 6 = 10
10 / 2 = 5

What is 5 x 2 3/10 as a mixed number in the simplest form
?

Answers

Answer:

11 1/2

Step-by-step explanation:

5 × 2 3/10 = 5 × (2 + 3/10) =5 × 2 + 5 × 3/10 = 10 + 3/2 = 10 + 1 1/2 =11 1/2

[tex]\large{{\sf{5 \times 2 \frac{3}{10} = \frac{115}{10} = \frac{115 \div 5}{10 \div 5} = \frac{23}{10} = {\large{\underline{\boxed{\sf{\green{11 \frac{1}{2} }}}}}}}}} \\ [/tex]

Find the equation of a line whose slope is 6 and passing through (3 , 3 ).

Answers

Answer:

y=6x-15

Step-by-step explanation:

y-y1=m(x-x1)

y-3=6(x-3)

y-3=6x-18

y=6x-18+3

y=6x-15

Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18

Answers

A. Has the mean of 11
B has the mode of 7

Answer:

its a.

Step-by-step explanation:

I need help with this

Answers

Answer:

check online for more information

I can write an equation​

Answers

Answer: y = -x + 2

Step-by-step explanation:

If you are familliar with the point-slope form this is very helpful

Point-slope:

[tex]y-y_1=m(x-x_1)[/tex]

Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:

[tex]y-(-1) = -1(x-3)[/tex]

Simplify

[tex]y+1=-x+3[/tex]

[tex]y=-x+2[/tex]

Circle A has a circumference of 9 cm. Circle B has a radius of 5 cm.

Which circle has the larger circumference?



About how many centimeters larger is it?

Answers

Answer:

B has a bigger circumference.

It is larger by 69.5 cm

Step-by-step explanation:

B: 3.14×5²=78.5

A: 9

circle b circumference would be 10cm
(a radius is half a circle so double 5 which is 5+5=10)


circle a circumference would be 9


so the larger circle is b

to find how many cm larger do 10-9 which is 1 so its 1cm larger ! hope this helps

need help math problem give you 5 stars and a good rating if you do this

Answers

Answer:

Add 9.6 then divide by 3.2

a^3/2a^0 simplify pls i need help

Answers

Answer:

a^3/2

Step-by-step explanation:

a^3/2a^0

We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as

a^3/2(1)

We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2

Thus, our simplified expression is

a^3/2

NO NEED FOR LINKS NEED HELP RIGHT NOW

Answers

Answer:

1a.2

2a. 9

3a. 6000

1b. 9000

2b. 3000

3b. 9

Step-by-step explanation:

1 m = 0.001 Km1 Km = 1000 m1 ml = 0.001 L1 L = 1000 ml1 g = 0.001 Kg1 Kg = 1000 g1 mm = 0.01 cm

a. 2000 m = 2 Km b. 9 Km = 9000ma. 9000 ml = 9 L b. 3 Kg = 3000 ga. 6 L = 6000 ml b. 90 mm = 0.9 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Pre college need helppp

Answers

Answer:

check online for more information

the sum of three consecutive odd integers is 129. find the integers​

Answers

Answer:

[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]

Step-by-step explanation:

Let the three consecutive integers be x, x + 2 and x + 4

So, the given condition is:

x + x + 2 + x + 4 = 129

3x + 6 = 129

Subtract 6 to both sides

3x = 129 - 6

3x = 123

Divide 3 to both sides

x = 123/3

x = 41

So, the integers are:

x = 41

x + 2 = 41 + 2 = 43

x + 4 = 41 + 4 = 45

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five. Let f represent the number of dollar bills. Write an expression of the number of nickels.

Answers

Answer:

since the number of nickels is 10 so the expression is5+5

The number of nickels is 10 so the expression is n = 3f - 5

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.

Consider that f represent the number of dollar bills.

The expression "The number of nickels is" is equivalent to "n =";

Also, "three times the number of five dollar bills" is equivalent to "3*f"

"eight less than three times the number of five dollar bills" is equivalent to      "3*f - 5"

Then the expression is n = 3f - 5

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40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?​

Answers

Answer:

10/40 were men, or simplified the amount is 1/4 of the total is men

The table shows the number of
flowers used to create bouquets,
based on the number of bouquets.
Bouquets
Flowers

Bouquets Flowers
3. 27
5 45
8i 72

Answers

According to the table given, the rate of change is of 9.

The rate of change is given by the change in the output divided by the change in the input.

In this problem:

The input is the number of bouquets.The output is the number of flowers.

Taking two of the points, (3,27) and (5,45), we have that:

[tex]m = \frac{45 - 27}{5 - 3} = \frac{18}{2} = 9[/tex]

Hence, the rate of change is of 9, which would be verified taking any pair of two points.

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