How high is a tree that casts a 24-ft shadow at the same time that a 6-ft fence post casts a 6-ft shadow?

Mathematics

1 answer:

Akimi4 [234]2 years ago

7 0

I am not so sure, but I think the tree is 24ft high because a 6ft fence casts a 6ft shadow.
Hope this helps!

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Plz help me with this

Setler79 [48]

Answer: x = 8

(the correct answer was not provided as an option)

Step-by-step explanation:

$log_2(x-6)+log_2(x-4)=log_2(x)\\\\log_2[(x-6)(x-4)]=log_2(x)\\\\(x-6)(x-4)=x\\\\x^2-10x+24=x\\\\x^2-11x+24=0\\\\(x-3)(x-8)=0\\\\x=3\qquad x=8\\\\\\\text{The term after the log symbol (inside the parenthesis) must be greater than 0!}\\\\Check:\\3-6>0\ \text{FALSE --- so 3 is not a valid solution}\\\\8-6>0\ \text{TRUE}\\8-4>0\ \text{TRUE}\\8>0\ \text{TRUE --- 8 is a valid solution because it is true for all}$

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2 years ago

The following expression models the total money earned by setting up a food stall at a funfair, where x represents the number of

REY [17]

After a thorough search, I found the same question on the internet. Please refer to the attached picture. If it's the same one with yours, then the answer is letter C - The constant 10 refers to the cost of setting up the food stall even if no cheeseburger was sold.

It is like a fixed cost that is incurred by the food stall that they need to pay for not considering the sales or income they would earn.

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2 years ago

Find the degree of this polynomial? 13-4ab+5a^3b

Anastasy [175]

Let's take a peek of each term, to be specific, the exponent of the variables only, to see what degree each term is

$\bf 13-4ab+5a^3b\quad 
\begin{cases}
13\impliedby \textit{no variable, degree is 0}\\
4ab\to 4a^1b^1\impliedby \textit{1+1, degree is 2}\\
5a^3b\to 5a^3b^1\impliedby\textit{3+1, degree is 4}
\end{cases}$

so...which term has the highest degree? well, that one, is the degree of the polynomial

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2 years ago

Suppose you are conducting a survey regarding activity level of children in the LA school district. you obtain a cluster sample

loris [4]

The survey had a sample and response bias. The survey only randomly selected sophomore students, when it needed to be a thorough survey of children in the LA school district, so the sample size is neither large enough or relevant. Secondly, because the survey was administered by the parents of the students, the students surveyed will be more likely to over-report their activity level.

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2 years ago

What quadratic equation has roots 7 and -2/3

-BARSIC- [3]

Answer:

(x-7)(x+2/3)

Step-by-step explanation:

To easily find an equation with said roots, use the intercept form:

y=a(x-p)(x-q), where p and q are your roots.

y=(x-7)(x-(-2/3) = y=(x-7)(x+2/3)

6 0

2 years ago

How high is a tree that casts a 24​-ft shadow at the same time that a 6​-ft fence post casts a 6​-ft ​shadow?

How high is a tree that casts a 24-ft shadow at the same time that a 6-ft fence post casts a 6-ft shadow?