Mathematics High School

When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?

Answers

Answer 1

Set up a ratio with height over shadow height:

40/30 = x/15

Cross multiply:

40 x 15 = 30x

600 = 30x

Divide both sides by 30:

X = 20

The tree is 20 feet tall.

Answer 2

Answer:

20

Step-by-step explanation:

It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15

30 = 2 * 15

So we simply do that to 40 too.

40 / 2 = 20

So 20 is our answer.

Related Questions

How many 1 fourths are in 3 fourths?

Answers

Answer:

12

Step-by-step explanation:

This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.


Help please I would really appreciate it

Answers

Answer:

5°

Step-by-step explanation:

4x+81=13x+36

answer is 5°

Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.

Answers

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer:

c

Step-by-step explanation:

The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:

Answers

Answer:

This is hard asfk

Step-by-step explanation:

Sorry but im confused just as you.

A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.

Answers

Answer:

28 shirts

Step-by-step explanation:

Let's see what we are given.

there are x amount of shirts ($616 total)

there are 12 in a dozen

the regular shirts are $16

the last 12 shirts are $14

Lets make an equation.

616= 14(12) + 16x

616=168+16x

448=16x

x=28

(Sorry if this explanation is bad)

Solve x for me please I need it!!!

Answers

The answer is 56 hope this helps

Answer:

The angle x° = 34°

Step-by-step explanation:

Given the right-angled triangle

right angle = 90° Given the angle = 56°

We know that the sum of angles of a triangle = 180°

so

90° + 56° + x° = 180°

x° = 180°- 90° - 56°

x° = 34°

Therefore, the angle x° = 34°

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot ​

Answers

Answer:

a

Step-by-step explanation:

There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?

Answers

Answer:

Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds

Step-by-step explanation:

14+28=42

14/42=1/3

28/42=2/3

please solve this i need this answer ​

Answers

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

(Timed) Solve the system of equations work shown

Answers

Answer:There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

Anyone know this pls help me

Answers

The correct answer is -4, I hope this helped:)

Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds

Answers

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

Please help I’ll give you guys brainiest!


Thank youuuuuuu :))

Answers

Answer:

look at graph

Plz need help rn What is m

Answers

Answer:

measure of angle p=

94

Step-by-step explanation:

ok 5 sided polygon= 540

so put all of those equal to 540

need to find x first

540=132+(4x-10)+(5x-11)+128+(4x+2)

simplify and combine like terms

x=23

now plug in for angle p

(4(23)+2)

94

WHAT in the valuE of 3n=1 when n=4?

Answers

Answer: 4

Step-by-step explanation:

Hey there! [tex]\bold{3n=1; n =4}}[/tex][tex]\bold{If\ n=4\ then\ substitute\ where\ the\ n\ is\ at\ in\ your\ equation!}[/tex][tex]\bold{3(4)=1}}\\ \bold{3(4)=12}\\\bold{12\neq 1}}\\\\\\\boxed{\boxed{\bold{Answer: 12\neq 1}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day![tex]\frak{LoveYourselfFirst:)}[/tex]

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?

Answers

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.





Constant of Proportionality =

Answers

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *

Answers

Answer:

$21 x 30 = 630 (630 the answer)

Step-by-step explanation:

Find 12.43 more than 4.065.

Answers

Answer:

16.495

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

16.405

Step-by-step explanation:

since you need to find more add 12.34 + 4.065= 16.405

HELP! i'll give brainliest just please help me ;(

Answers

12. SAS
And 14 is either SAS or none. The rest are correct

Find $m\angle LKM$ .

Answers

Answer:I need a picture or numbers to answer

Step-by-step explanation:

Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?

Answers

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)

Answers

Answer:

(fog)(x)  = 5x+45(gof)(x)   = 5x+9(fog)(3) = f(g(3)) = f(12) = 60    

Step-by-step explanation:

Given

f(x) = 5xg(x) = x + 9

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

Will mark brainliest for whoever answers

Answers

Answer:

No

Step-by-step explanation:

You have to do it.

PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x

Answers

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

Can someone help plz

Answers

Answer:

84g

Step-by-step explanation:

399÷19=21

21 x 4 = 84

simplify 6 + 15 x 72=

Answers

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

When you’re multiplying or dividing same sign numbers, what will your product or quotient be?

Answers

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.

The answer will be the opposite of the sign so for example -5*-5= 25
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