15. A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing
nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the
birdhouse and the pole?
.a. 12
c. 18.75
b. 15
d. 13.25

Answers

Answer 1

Answer:

12

Step-by-step explanation:

15 feet total amount combined by pole and birdhouse

4 foot tall person makes 5 feet long shadow

5x3=15

4x3=12 so the birdhouse and pole are 12 feet

Answer 2

The birdhouse and the pole are 18.75 ft tall.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a person standing nearby who casts a shadow 5 feet long. The person is 4 feet tall.

Assume that for the birdhouse and the pole are [x] ft tall.

Now, for a 4 feet tall person, the shadow is 5 feet long.

Then, for one feet long person, the shadow would be (5/4) feet long.

Then, for 15 feet long -

x/15 = 5/4

x = (15 x 5)/4

x = 75/4

x = 18.75 feet tall

Therefore, the birdhouse and the pole are 18.75 ft tall.

To solve more questions on Equation modelling, visit the link below-

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Related Questions

Calculate the value of this expression by writing the decimal factors as fractions, then writing their product as a decimal. Show your reasoning. (0.01)⋅(0.02) this is 6th grade math

Answers

Answer:

0.0002

Step-by-step explanation:

Answer:

0.0002

Step-by-step explanation:

pls help me!! thank you!!

Answers

Full working out shown from step 1 to last.

follow it and you get 24 square feet as final answer. Good luck in other questions!!!


I don’t know how to do this.

Answers

Answer:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

Step-by-step explanation:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]

What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm​

Answers

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Circumference Formula: C = 2πr

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Substitute [CF]:                    C = 2π(10 cm)Multiply:                                C = 20π cmMultiply:                                C = 62.8 cm

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

Evaluate function expressions 4 x f(6) - 6 x g(5) =

Answers

9514 1404 393

Answer:

  24

Step-by-step explanation:

Find the parts of the expression from the graph, and evaluate the expression.

  f(6) = -6

  g(5) = -5

Then we have ...

  f(6) -6·g(5) = (-6) -6(-5) = -6 +30 = 24

Hi everyone! I have a question!
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations.) THANKS!!!!!!

Answers

Answer:

Step-by-step explanation:

SO first find the area of the whole circle

which has a radius of 3

a=πr^2

So 3^2=9

Now the two circles which are the same in area due to having the same radius

so if you plug in the 1 for radius the answer would just be π or 1π

now multiply that by 2 becuase there are 2 identical circles

π*2=2π

Now subtract

9π-2π=7π

Answer:

Step-by-step explanation:

area of unshaded circle:

A=π*r^2=π*1=π

we have 2 circles so the area of both circles are 2π

area of the large circle is A(l)=Π*3^2=Π*9=9Π

area of the shaded region: A(s)=9Π-2Π=7Π

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!
Elena gets a base pay of $1,500 per month. She also earns a commission of 8% of the total sales dollars that she makes. What are Elena’s earnings for a month in which she has sales of $32,000?

Answers

Answer:

You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000

So your answer is 40,000.

Step-by-step explanation:

Answer:

4060

Step-by-step explanation:

8/100(32000)+1500=4060

can you answer me please

Answers

Answer: 1. 10   2. 18

Step-by-step explanation:

1.) 25% of 40 is 10 so she made 10 free throws.

2.) 150% of 12 is 18 so she made 18 free throws.

It is very blurry.. please try asking the question again for me to see.

PLS HELP WILL MARK BRAINLIST

Determine which is the better buy. (picture below)

Answers

Answer:

Cheese B

Step-by-step explanation:

Find the cost of 1 slice for Cheese A:

Set up a proportion: [tex]\frac{3.59}{10} = \frac{x}{1}[/tex]  Cross multiply, then divide: 3.59 × 1 = 3.59, 3.59 ÷ 10 = 0.359So, the cost of 1 slice of Cheese A is $0.359

Find the cost of 1 slice for Cheese B:

Set up a proportion: [tex]\frac{5.12}{16} = \frac{x}{1}[/tex]  Cross multiply then divide: 5.12 × 1 = 5.12, 5.12 ÷ 16 = 0.32So, the cost of 1 slice of Cheese B is $0.32

Make a conclusion:

Because $0.32 is less than $0.359, Cheese B is the better buy.

I hope this helps!

Somebody please help me :(

Answers

Answer:

A, C, E

Step-by-step explanation:

Factory M makes 200 screwdrivers per hour.

Factory N makes 100 screwdrivers per hour.

Erik works 55 hours a week making $12.50 hour? His employer pays time and a half for hours over 40. Find his gross pay.

Answers

Answer:

781.25

Step-by-step explanation:

Regular pay = 40*12.50 = 500.00

Overtime = 15*12.5*1.5 = 281.25

Gross pay = 500.00 + 281.25 = 781.25

Consider the function y=0.88(1.1)x.identify what type of function this is
A.Exponential growth
B.Exponential decay

Answers

Answer:

A

Step-by-step explanation:

Qualitative" variables are measured on either ordinal or nominal scales

Answers

Answer:

I don't get it. Is that the full question?

4 brainliest no steal points or i report
Drag and drop the numbers to order them from least to greatest.
-4.79
-4 8/11
4 7/9
4.709

Answers

-4.79, -4 8/11, 4.709, 4 7/9

3÷657 using partial products

Answers

Answer:

219

Step-by-step explanation:

Pls help this is due by midnight

Answers

Answer:

Cost of four DVD= 36.7, but due to 25% discount it cost 27.57. Then add 7.75 taxes and he payed 29.71. Answer is 29.71

Step-by-step explanation:

Answer:

$27.71

Step-by-step explanation:

Price of 1 DVD: $9.19

Price of 4 DVDs: 4 * $9.19 = $36.76

Discount: 25%

Now we find 25% of $36.76.

25% of $36.76 =

= 0.25 * $36.76

= $9.19

The 25% discount amounts to $9.19. We now subtract $9.19 from $36.76 to find the discounted price.

$36.76 - $9.19 = $27.57

Now we need to apply the 7.75% tax to $27.57.

7.75% of $27.57 =

= 0.0775 * $27.57

= $2.14

The sales tax is $2.14.

Now we add the sales tax amount to the total discounted price.

$27.57 + $2.14 = $29.71

Answer: $27.71

any help for math lesson

Answers

Answer:

12.5

Step-by-step explanation:

We can turn this into a cross - multiplication problem.

n / 7.5 = 25 / 15

All we have to do is cross multiply to get 15n = 7.5*25

As a result, we get 15n = 187.5

Divide by 15 on both sides to get 12.5

Double check

We can double check this answer by dividing 15/7.5 and 15/7.5, because ratios are the same if they are just multiplied versions of themselves

So, we get 2 for both answers, meaning that 12.5 is correct

Question and answer choices are attached. Please pick the right answer and explain/show work if possible. Thanks!

Answers

Answer:

Choice c. [tex]\sqrt{12}[/tex]

Step-by-step explanation:

Vectors

Suppose we have a vector v defined as

[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]

The magnitude of the vector is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]

On the other hand, the dot product of the vector by itself is:

[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]

Note the relation between these two operations is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]

Since we are given:

[tex]\vec v\cdot\vec v=12[/tex], then:

[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]

Choice c) [tex]\sqrt{12}[/tex]

200-3.5 x 2.8 what is the product?

Answers

Answer:

190.2

Explanation:

3.5x2.8=9.8

200-9.8=190.2

Answer:

how do you find the product of 3.5 x 2.8

Step-by-step explanation:

explain how you got it.

Find the distance from C to G.
4
86
7
64
3
32

Answers

Answer: 64/3

Step-by-step explanation:

what is the answer to this question

Answers

Answer:

D is the answer

Step-by-step explanation:

What type of exponential function is f(x)=0.6(2.4)^x?
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.

The function is an exponential CHOOSE function.
The percent rate of change of the function is CHOOSE%.

Answers

Answer:

growth

140%

Step-by-step explanation:

The function f(x) is an exponential growth function as f(x) increases when x increases.

The percent rate of change of the function f(x) is 201.6%.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 0.6 [tex](2.4)^x[/tex]

For x = 1,

f(1) = 0.6 x 2.4 = 1.44

For x = 2,

f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456

For x = 3,

f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944

We see that,

As the value of x increases, the value of f(x) increases.

f(x) is an exponential growth function.


Now,

The percentage rate of change of function f(x).

= (f(2) - f(1)) / (2 - 1) x 100

= (3.456 - 1.44) x 100

= 2.016 x 100

= 201.6 %

Thus,

f(x) is an exponential growth function.

f(x) percent rate of change is 201.6%

Learn more about functions here:

https://brainly.com/question/28533782

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BE FAST IM TIMED
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.

Which number range would be needed to label the students correctly?

A 0–4
B 1–5
C 00–75
D 01–75

Answers

Answer:

D

Step-by-step explanation:

Answer:hope it helped

Step-by-step explanation:

c answer

The number of leaves that fall off a tree n days after day 1 is given by the function f (n) = 3(2)".
What does the value 3 mean in this function

Answers

Answer:

the amount of leaves that fall of the tree in one day

Step-by-step explanation:

n is the amount of days

f is the amount of leaves that fall in a day

Which expression is equivalent to 3x + 6

Answers

Answer:

3x + 6 is equal to x + 2

Step-by-step explanation:

Answer: 3( x + 2)

Step-by-step explanation:

6

3x+6

3(x+2)

Tell if it’s linear or not, plz help it has a timer :(

Answers

Answer:

Only B is linear

Step-by-step explanation:

Find the values of x and y 155 13x 5y

Answers

Answer:

6

Step-by-step explanation:

If f(x) = 3x – 7 and g(x) = x2 – 5x + 5, then f(x) = g(x) for
what values of x?
a. x = 3 and x = 4
b. X = 6 and x = 2
c. x = -6 and x = -2
d. x = -3 and x = -4

Answers

Answer:

b

Step-by-step explanation:

3x - 7 = x² - 5x + 5

x² - 5x + 5 - 3x + 7 = 0

x² - 8x + 12 = 0

(x-6)(x-2)=0

x = 6

x = 2

The Question is above.

Answers

Step-by-step explanation:

given

g(r)= -1 -7r

g ( 6) = - 1 - 7 * 6

= - 1 - 42

= - 43

Yes he is correct I

I need to find the equation of the graphed line. ​

Answers

Answer:

y=-x-7

Step-by-step explanation:

So the line goes down one unit for every unit it goes to the left.

Slope is rise over run which would be -1/1 (simplify to -1)

The line crosses the y axis at -7

So to put it in slope-intercept form (y=mx+b) it would be y=-1x-7

You don't have to include the one in -1x because its the same as saying -x

Answer: 20-w33

Step-by-step explanation:

So easy yaar! SO. EASY!

Just find the slope by connecting the megapixel by the hardrive!

Then calculate the cheese fromage from the stroop waffle, simply add the chemistry hypothecary theory, and your're set!

Don't forget to comma the C's and capitalize the G's!

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