5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall
is the man? Justify your solution

Answers

Answer 1

Answer:

Step-by-step explanation:

The shadow length will be proportional to height

12 / 60 = h / 32

h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches


Related Questions

4(2x - 1) + 3(2x + 5)​

Answers

Answer:

14 x + 11

Step-by-step explanation:

4*(2x - 1) + 3*(2x + 5)​ =

8x - 4 + 6x + 15 =

14 x + 11

50 points! Help (Vectors)

Answers

Answer:

its 18.4

(not sure btw)

Answer : 18,4
Good luck

Use the following function rule to find f(3) f(x)=3(4)^x+2

Answers

Answer:

3f×16=36

Step-by-step explanation:

f(x)=2x×fx

(substitute

=3f×16

=36f

Simple problem pls help

Answers

Ok done. Thank to me:>


28. Marta Sanchez purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For all
purchases she must pay the state sales tax of 7.5% and the county tax of 0.5%. What is the tax on her
purchases?

Answers

Answer:

$ 1.94

Hope I helped

ANSWER USING STEPS: find the inverse function of y=-5x-7

Answers

the inverse of y is =x+7

Step-by-step explanation:

y=5x-7

then solve for x

5x=y+7

x=(y+7)/5

then exchange x with y

y=(x+7)/5

The inverse of the given function is expressed as:

-(x + 7)/5

How to find the inverse of the function?

The given function is expressed as:

y = -5x - 7

Replacing y with x and vice versa gives us:

x = -5y - 7

Add 7 to both sides gives:

x + 7 = -5y

divide both sides by -5 gives us:

-(x + 7)/5 = y

Thus, we conclude that the inverse of the given function is expressed as:

-(x + 7)/5

Read more about Inverse of Function at: https://brainly.com/question/3831584

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Write a related function for –6x + 8x – 5 = 3.

Answers

Answer:

Answer:

x=4

Step-by-step explanation:6x+8x=2x

5+3=8 (when you move a number to the other side of an equals sign, it changes its value)

2x=8

2x/2 and 8/2

x=4

The related function for –6x + 8x – 5 = 3 is;

x = 4

Algebraic Expressions

We are given the equation;

–6x + 8x – 5 = 3

Let us simplify the numbers that have the variable x first. Thus;

–6x + 8x – 5 = 3 gives;

8x - 6x - 5 = 3

>> 2x - 5 = 3

Use addition property of equality to add 5 to both sides;

2x - 5 + 5 = 3 + 5

>> 2x = 8

Use division property of equality to divide both sides by 2 to get;

x = 8/2

Thus;

x = 4

Read more about algebra expressions at; https://brainly.com/question/4344214

Kathy is following a recipe for punch that calls for 3 liters
of juice. She has 3 quarts of juice. Without using an equation, does Kathy
have enough juice for the punch? Explain.

Answers

Answer:

Yes, Kathy does  have enough juice.

Step-by-step explanation:

Kathy does have enough because quarts are a little bigger than liters, so the 3 quarts she has will cover the liters.

Help me ASAP now like really fast

Answers

Answer: I think the answer is C.. It looks like an 180 angle from my perspective.

I hope that is correct

Answer:

C

Step-by-step explanation:

Well, we know all the angles must sum up to 180º. From this, we can write the equation ' 3xº + 80º + 2xº = 180º ', which is answer choice C

-5y+8=-7
y = 3
check your answer

Answers

-5y = (-7) - 8

-5y = -15

-5y/ -5 = -15 / -5


y = 3

Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest.

Answers

Answer:

Hello! I know I am a bit late but for those who come here in the future,

This is the order (Least to Greatest)

1) 1,500 at 8% simple interest for 6 years

2) 1,500 at 6% simple interest for 10 years

3) 1,500 at 8% simple interest for 10 years

Hope this helps!

In situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.

What is simple interest?

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given for the three cases as,

P =$1500, R=8% , T = 10 years

P =$1500, R=8% , T = 6 years

P =$1500, R=6% , T = 10 years

The formula for the simple interest is,

Case 1,

SI = (P×R×T) / 100

SI = (1500×8×10)/100

SI = $ 1200

Case 2,

SI = (P×R×T) / 100

SI = (1500×6×10)/100

SI = $ 900

Case 3,

SI = (P×R×T) / 100

SI = (1500×8×6)/100

SI = $ 720

The simple interest for cases 1, 2, and 3 will be $ 1200, $ 900, and $ 720.

Thus, in situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.

Learn more about the simple interest here:

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Bart learned that the first stage of a type of rocket had a burn time that was 28.5 seconds longer than the burn time during the second stage. The total burn time for both stages was 150.3 seconds. What was they burn time for the first stage?

Answers

Answer:

60.9

Step-by-step explanation:

im prob not crct

(1 point) In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order

Answers

Answer:

3 ways

Step-by-step explanation:

three ways it can be arranged on the bookshelf three different novels, two different mathematic, books 1 Biology book are 1 Biology book, two different mathematic books, three different novel books are two different mathematic books three different novel books 1 Biology book arranged on the bookshelf if a the book can be arranged in any order

What is the degree of each polynomial?
(x^2 - y)^2 Degree _______
8x^4-5x^7+4c^5 Degree ______
x^2y^3/3+2x^3+8x^3 Degree ______
x^4 +2x^3-6x^4-17 Degree ______
-x^2+7x-4x Degree _____
x^7+y^8+x^7-y^8 Degree_____

Answers

Answer:

A- 4

B- 5

C- 8

D- 4

E- 2

F- 7

I'm 99% sure these are right!! I hope this helps :(

epic gamer question, i'll mark brainlist​

Answers

Answer:

It has to be an isosceles because it has 2 congruent sides (and angles) in the same relative position. The two congruent angles both measure 30 degrees each; the total of degrees in any triangle is always 180. So, the other side has an angle measure of 120 degrees, which is more than 90. Therefore, it is

an obtuse isosceles

2. Find the simple interest paid to borrow $4800 for 6 years at 7%.

Answers

2016

1% is 48
7% 336 [1 year]
6 years is 2016

Answer:

$2016

Step-by-step explanation:

Simple Interest equation: I = Prt

So,

P = $4800

r = [tex]\frac{7}{100}[/tex] = 0.07

t = 6

I = (4800) · (0.07) · (6)

Thus,

The simple interest is $2016.

Can Someone help me on this math question please
I will mark u brainless please ​

Answers

it's easy just use bidmas

A new yo-yo factory is operating at 80%
of capacity and produces 4,000 yo-yos
daily. When the factory reaches 100%
of capacity, how many yo-yos should be
produced each day?

Answers

Answer:

5,000 yoyos per day

Step-by-step explanation:

80 x 1.25 = 100

4,000 x 1.25 = 5,000

Two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. How long will it be until both computers runs a virus scan at the same time again?

Answers

Answer:

Step-by-step explanation:

List out multiples for both 3.75 and 4.5

3.75+3.75=7.5

7.5+3.75=11.25

11.25+3.75=15

15+3.75=18.75

18.75+3.75=22.5

4.5+4.5=9

9+4.5=13.5

13.5+4.5=18

18+4.5=22.5

At 22.5 days will both computers scan at the same time

If computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days.

We have to add the multiples of 3.75 days for computer A as,

3.75+3.75=7.5

7.5+3.75=11.25

11.25+3.75=15

15+3.75=18.75

18.75+3.75=22.5

For computer B

4.5+4.5=9

9+4.5=13.5

13.5+4.5=18

18+4.5=22.5

22.5 is the common multiple for both cases,

Thus, if computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again.

Learn more about the arithmetic operation here:

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The product of two positive odd consecutive integers is 1599. What is the larger integer?

Answers

Answer:

800

Step-by-step explanation:

800+799=1599

a boy rides the motorbike with velocity of 20 m/s. He accelerates his motorbike to a velocity of 30 m/s in 5 seconds. Calculate the acceleration produced in the motor bike​

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

2m/s2

Step-by-step explanation:

acceleration = (final velocity - initial velocity) / time

a = (30-20) / 5

a = 10 / 5

a = 2m/s2

When a system of two linear inequalities in two variables has
boundary lines that are parallel, then this is NOT possible:
A) the entire plane is a solution
B) there is a single point of solution
C) there is a region with an infinite number of points of solution
D) no solution

Answers

Answer:

  B) there is a single point of solution

Step-by-step explanation:

If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.

!PLEASE ANSWER ASAP! THANK YOU IN ADVANCE!

mrs. piggiewinkle knows how to use texting, instant messenger, emailing, calling, and mailing letters to communicate with her students. she must select 2 methods of communication out of the 5 to send her students an important message. in how many ways can choose the communication methods?

Answers

Answer:

Step-by-step explanation:

She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.

Answer: 20 ways

Step-by-step explanation: I believe that you would need to use permutation, so:

5P2 = 20

4 4/6 + 3 7/8 = ? ........................................

Answers

Answer:

[tex]8\frac{13}{24\\}[/tex]

Step-by-step explanation:

[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]

[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]

Skip count by 100 starting with 95.
95, ____, ____, ____, ____

Answers

Answer:

195, 295, 395, 495?

Step-by-step explanation:

96,97,98, skip number 99 and then 100

What is 2+x=4 please help

Answers

Answer:

2+x=4

x = 4 - 2

x = 2

Step-by-step explanation:

........

A right triangle is shown in the graph. Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (x, y). Show all necessary math work. (3 points) Part B: If (r, s) = (7, –4) and t = 10, determine the domain and range of the circle. (4 points) Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, –4) and t = 10? Explain using mathematical evidence. (3 points)

Answers

Answer:

Part A, write out the equation by subtracting the vertex from x and y, then set it equal to the radius square. All of this information is given in the picture. Then the domain is all the x's and the range is all the y's starting at the center and going out 10 in each direction since 10 is the radius.

Step-by-step explanation:

Use the circle formula that you learned in lesson 3.02 using the given points. Remember this quiz was open note and your formula should be in your notes. Also, it should be familiar to you from Geometry and middle school math where you first learned about circles:)

6+7+8+...+(n+5) find the sum.

Answers

Answer:

n + 26

Step-by-step explanation:

first you have to simplify

6 + 7  +8 + n + 5

then combine the like terms

6 + 7 + 8 + n + 5

(n) + ( 6 + 7 + 8 + 5)

= n + 26

hope this helps

Write an equation of the line that passes through (−2,3) and (0,8).

An equation is y=
.

Answers

Answer:

Step-by-step explanation:

y = mx + b

b is the y intercept and occurs where x = 0. One of our select points has an x value of 0, therefore b = 8

m is the slope and is found as the change in y over the change in x

m = Δy/Δx = (8 - 3) / (0 - (-2)) = 5/2

y = 5x/2 + 8

P(E') = P(F) = 0.6 and P(E n F) = 0.24:
a. Write down P(E).
b. Explain how you know E and F:
i are independent
ii are not mutually exclusive
c Find P(E u F').

Answers

Answer:

(4- x)(x - 4) = 16 - x2 help me sir please

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