A light post is 4 ft tall and cast a shadow of 5 ft. Find the distance between
the top of the post and the end of the shadow.

O 9 ft
O 6.4 ft
O 3 ft
O 4 ft

Answers

Answer 1

Answer:

6.4 ft

Step-by-step explanation:

Let “a” be the light post height

Let “b” be the length of the shadow

Let “c” be the distance from the top of the light post to the end of the light post’s  shadow.

Then:

(a X a) + (b X b) = c X c

The Pythagorean Theorem will work pretty well here:

(4 X 4) + (5 X 5) = 16 + 25 = 41

The square root of 41 is: 6.4023

So, about 6.4 ft from the top of the post to the end of the shadow

Answer 2

Answer:

6.4ft

Step-by-step explanation:


Related Questions

What is the surface area of a cube that has a radius of 9 ft and height of 3 ft

Answers

Answer:

If it has a radius of 9 then the length will be 18 and it would be a 18 by 3 shape and that's not a cube....

Step-by-step explanation:

Suppose a circle has a diameter of 20 inches. What is its radius?
A)400 in
B)40 in
C)20 in
D)10 in

Answers

The answer would be D. 10 in.

Help, this is confusing for me

Answers

Answer:

B: 163,343

Step-by-step explanation:

V=πr²h 34²=1156, 1156×45=52020, 52020×3.14(π)=163,342.8, then round up.

The area of the triangle below is 2/5 square foot. What is the length in feet of the base of the triangle?

Answers

Answer:

C) 2/3

Step-by-step explanation:

Percent Profit or Loss
Calculate the percentage profit if an antique clock is bought at a yard sale for $20 and sold for $100. Type the number only

Answers

400% profit, you made 4 times what you invested.

Express y in terms of x.
Variables x and y are related so that, when
[tex]y ^{2} [/tex]
is plotted on the vertical axis
and
[tex]2 ^{x} [/tex]
is plotted on the horizontal axis, a straight-line graph which passes
through the point (8, 49) with gradient 3 is obtained.
a Express ya in terms of
[tex] {2}^{x} [/tex]
.
b Find the value of x when y = 11.​

Answers

Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.

Step-by-step explanation:

50 pt = ?gal

50 pt = ?pt

PLEASE HELPPPP ‍

Answers

Answer:

50 pints is 6.25 gallons.

What do you mean by the second one?

Step-by-step explanation:

50 ÷ 8 = 6.25

Answer:

50 pints is 6.25 gallons.

50 ÷ 8 = 6.25

Step-by-step explanation:

A password contains five digits, such as 17467. How many different passwords can be formed? Help please

Answers

Answer:

Step-by-step explanation:

100,000

The number of different passwords can be formed by; 1,00,000

How to identify the place value of a digit in a number?

The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on

Given that the password contains five digits, such as 17467.

In general total digits = 10  [ from 0 to 9]

If a password contains five digits, then by the fundamental principal of counting, then the total number of different passwords;

[tex]10^5[/tex] = 1,00,000

Hence, the number of different passwords can be formed by; 1,00,000

Learn more about place value here:

https://brainly.com/question/17983725

#SPJ2

The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.

Answers

Answer: less likely

Step-by-step explanation:

Given

The probability of an event is 0.5

The value of probability always lies between 0 and 1. 0 represents that event will not while 1 represents the certainty of the event.

When 0.5 is compared with 1, it is less likely to happen i.e. chances of this event to occur are less compared to the a event with probability of 1.

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer:

2/6  or 33.3%

1/6 or 16.65%

3/6 or 50%

0/6 0r 0%

Step-by-step explanation:

do the following conditions make a unique triangle more than one triangle or no triangle possible​

Answers

C no rectangle possible

Answer:

No triangle possible.

Step-by-step explanation:

3 + 6 < 10 so no triangle can be drawn with these lengths.

i need heeeeeelp please and thank you :)

Answers

The answer the the question is A.

List all the multiples of 3 less than 14.

Answers

Answer:

3, 6, 9, 12

Step-by-step explanation:

3 × 1 = 3

3 × 2 = 6

3 × 3 = 9

3 × 4 = 12

Answer:

3 6 9 12

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3= = 9

3 x 4 = 12

3 x 5 = 15 <------ TOO MUCH

Multiples are numbers that can be divided by that number you are finding out the multiples.

1) Find the missing side. Give your
answer in simplest radical form.

Answers

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = 8

Leg b = 4

Hypotenuse c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]:                                            8² + 4² = x²Evaluate exponents:                                                                                         64 + 16 = x²Add:                                                                                                                   80 = x²[Equality Property] Square root both sides:                                                    √80 = xRewrite:                                                                                                             x = √80Simplify:                                                                                                             x = 4√5

Evaluate:
-6 ÷ 3
(-2)(-3)
8 - 4 ÷ -2
14 - 8 ÷ 4 × 0(5 - 3)

Answers

-6 ÷ 3=__

6 ÷ 3=2

-+2

=-2

(-2)(-3)=__

-2*-3

=6

8 - 4 ÷ -2=__

4÷-2=-2

8--2

=10

4 - 8 ÷ 4 × 0(5 - 3)

=4

hope this helped ○( ^皿^)っ

the temperature in november was less than 55 degrees every day which inequality shows the temperature in november

Answers

Answer:

a. x < 55

Step-by-step explanation:

We know that the temperature in November was less than 55° every single day, we are then asked to find which inequality out of the four given shows the temperature in November.

To do so, take the most crucial information, "the temperature in November was less than 55° every single day." The words "less than" makes us know that we will be using the sign "<". Looking at the answers, we see only one that uses it, and that is a.

Therefore a is the correct answer.

help me if you can !!

Answers

Answer:

it  is the 3rd one

Step-by-step explanation:

What is the standard form of y – 10 = 2(x + 2)?

Answers

Answer:

y = 2x+14

Step-by-step explanation:

So first of all simplify 2(x+2)


Result is 2x+4


Y-10=2x+4


Now add 10 to both sides and that's how you get your answer

select the inequality that is represented by the number line below
NO LINKS OR I WILL REPORT

Answers

The answer is choice A :)

Answer:

a) x<0

Step-by-step explanation:

the circle is not solid so it’s just a less than a sign and the arrow is going less than 0 so x is less than 0 is the answer

hope this helps :)

A recipe calls for 1/2 of a teaspoon of sugar for every 15 cookies. If you are going to make 75 cookies for a party, how many teaspoon of sugar will you use.

Answers

Answer:

2.5 teaspoons

Step-by-step explanation:

75/15 = 5

1/2 · 5 = 2.5

Answer:

2.5 teaspoons of sugar

Step-by-step explanation:

[tex]\frac{15}{0.5} =\frac{75}{y}[/tex]

Cross multiply.

15 × y = 0.5 × 75

15y = 37.5

15y ÷ 15 = 37.5 ÷ 15

y = 2.5

Substitute the values of a = 7 and b = 11. What expression do you get when you substitute these two values? 67 + 311 6 ( 7 ) + 3 ( 11 ) 6 ( 7 ) - 3 ( 11 ) 7 ( 7a) + 3 ( 11b)

Answers

Answer:

[tex]6(7) + 7(11)[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]6a + 7b[/tex]

[tex]a = 7[/tex]

[tex]b = 11[/tex]

Required

The corresponding expression when the values are substituted for the variables

We have: [tex]6a + 7b[/tex]

Substitute [tex]a = 7[/tex]

So, the expression becomes:

[tex]6(7) + 7b[/tex]

Substitute [tex]b = 11[/tex]

So, the expression becomes:

[tex]6(7) + 7(11)[/tex]

Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24 ounces.

Which factorization could represent the number of water bottles and weight of each water bottle?

6(10x2 + 8x + 2)
12(5x2 + 4x + 2)
6x(10x2 + 8x + 2)
12x(5x2 + 4x + 2)

Answers

The answer is B. 12(5x^2+4x+2)

Answer: 12(5x2 + 4x + 2) is correct answer

Step-by-step explanation:

60x2 + 48x + 24  

if we take 6 as a common factor

6(10x^2+8x+4)     so first option is not true

if we take 12 as a common factor

12(5x2 + 4x + 2)

6x & 12x can not  be taken as common factor..

so the correct option is 2nd one..

The sum of a number and 2.

Answers

Answer:

whats the question

Step-by-step explanation:

Mr. Garvey is almost finished working on his rectangular patio. He has ordered enough patio stones to cover an area of 600ft2. He knows that his yard is 30ft wide. He also remembers that there is an equation for areas of a rectangle: FASTTTTT

Answers

Answer:

20 ft

Step-by-step explanation:

Area of a rectangle = length x width

600 ft^2 = 30 ft x length

length = 600 / 30

= 20 ft

what type of question can be solved using Cramer's rule?

Answers

Answer:

check the pdf .

Step-by-step explanation:

Suppose you take 340 mg of a certain medication.
The amount of medication in your body decreases by 32% per hour.

Write a function for M(h), the number of milligrams of the medication in your body after h hours

Answers

Answer:

m= 340 × 0.68h

Step-by-step explanation:

Given that

You take 340 mg of the certain medication

And, the amount of medication would be reduced by 32% per hour

So we need to the find the function for M(h)

Here M denotes the milligrams

And, the h denotes the hours

So, the function would be

m = 340 × (1 - 0.32)h

m= 340 × 0.68h

The same would be considered and relevant

3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers

Answers

Answer:

2, 5, 8

Step-by-step explanation:

For starters, let us assume that the numbers are x-d, x, and x+d.

Where d is the common difference between terms.

This mean that we can say, from the question

x-d + x + x+d = 15

3x = 15,

x = 5,

This means that the terms are 5, 5-d and 5+d.

On the other hand,

(5-d) * 5 * (5+d) = 80

(5-d) * (5+d) = 80/5

(5-d) * (5+d) = 16

25 - d² = 16

d² = 9

d = + or - 3.

Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.

HELP PLSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

the answer is what you think it is fam on foenem

someone please help me​

Answers

I feel like it’s the last set but then again I haven’t done that kind of math in a few years. Hopefully that helps !

Which transformation carries the regular pentagon onto itself?

Answers

Answer: rotations

With regard to the regular pentagon, the student describes the center of rotation as the point where the diagonals intersect. The student indicates that rotations of degree 72, 144, 216, 288, and 360 clockwise and counterclockwise about this point will carry the pentagon onto itself.

HOPE THIS HELPS

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