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3 years ago

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A tree casts a shadow 8ft long. A 6-ft man casts a shadow 4 ft long. The triangle formed by the tree and its shadow is similar t

o the triangle formed by the man and his shadow.How tall is the tree?

1 answer:

Gennadij [26K]3 years ago

6 0

Im not sure but it could be 192

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What is the value of x in simplest radical form?

Ostrovityanka [42]

In this case, we will use our Pythagorean Theorem.

a = 84
b = 13
c = x

$\sqrt{84^2 + 13^2} = 85$

Thus, x = 85.

8 0

3 years ago

Read 2 more answers

I need help with pre calculus.

otez555 [7]

Question 1

<h3>Answer: Choice A) -7</h3>

-----------------

Explanation:

To compute f(g(2)), we'll first need to find g(2).

Locate 2 in the x row. Then read straight down until you get to the g(x) row. You should find that g(2) = 4

This means f(g(2)) becomes f(4). We then repeat the same process as before. Locate 4 in the x row, read straight down til you get to the f(x) row to find that f(4) = -9

Overall, we can say f(g(2)) = -9

We do the same set of steps to compute g(f(-1)). You should find that f(-1) = -1 and g(f(-1)) = g(-1) = -2

Lastly, we subtract the results we got:

f(g(2)) - g(f(-1)) = -9 - (-2) = -9+2 = -7

==============================================

Question 2

<h3>Answer: Choice B) 0</h3>

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Explanation:

If you were to graph each equation, you should get what you see below.

The red and blue curves do not intersect in any way. We need an intersection point to have a solution. Because there are no intersections, we don't have any solutions. The system is considered inconsistent.

==============================================

Question 3

<h3>Answer: Choice B</h3><h3> $-2x^2+250x-2000$ </h3>

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Explanation:

x = number of scooters made and sold

Each scooter costs $150 to make. If you made x of them, then it costs 150x dollars. Then tack on the fixed cost of $2000 to get the expression $150x+2000$

The cost function is $C(x) = 150x+2000$ . We'll subtract this from the revenue function R(x) to get the profit P(x)

$\text{Profit} = \text{Revenue} - \text{Cost}\\\\P(x) = R(x) - C(x)\\\\P(x) = (400x-2x^2) - (150x+2000)\\\\P(x) = 400x-2x^2-150x-2000\\\\P(x) = -2x^2+250x-2000\\\\$

==============================================

Question 4

<h3>Answer: Choice B</h3>

$\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}$

-----------------

Explanation:

$g(x) = \frac{1}{x+1}\\\\g(f(x)) = \frac{1}{f(x)+1}\\\\g(f(x)) = \frac{1}{x^2+x-3+1}\\\\g(f(x)) = \frac{1}{x^2+x-2}\\\\g(f(x)) = \frac{1}{(x+2)(x-1)}\\\\(g\circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\$

I started with the outer function g(x) and replaced each x with f(x) in the second step. Then I plugged in f(x) = x^2+x-3 and simplified. Factoring the denominator is helpful to determine where the denominator becomes zero. Specifically, it happens when x = -2 and x = 1. These x values must be kicked out of the domain to avoid a division by zero error.

So we start off with the real number line, and poke holes at x = -2 and x = 1.

The notation $x \in \mathbb{R}$ means x is a real number. Then we tack on $x \ne -2, x \ne 1$

Overall, the domain is $\left\{x\in \mathbb{R} \big| \ x \ne -2, x \ne 1\right\}$

Let's see what happens if we tried plugging x = -1 into this composite function:

$(g \circ f)(x) = \frac{1}{(x+2)(x-1)}\\\\(g \circ f)(-1) = \frac{1}{(-1+2)(-1-1)}\\\\(g \circ f)(-1) = \frac{1}{(1)(-2)}\\\\(g \circ f)(-1) = \frac{1}{-2}\\\\(g \circ f)(-1) = -0.5\\\\$

We don't get a division by zero error, so x = -1 is allowed. The same can be said about any other x value as long as it's not -2 and not 1 either.

4 0

2 years ago

In a class of 25 students, 15 of them have a driver's license. If ten students are randomly selected, what is the expected numbe

const2013 [10]

Answer:

<em>Expected number of students would have a driver's license = 6</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given data In a class of 25 students, 15 of them have a driver's license

The sample proportion

$p = \frac{x}{n} = \frac{15}{25} = 0.6$

Let 'X' be the binomial distribution

Given sample size 'n' = 10

<em>mean of the binomial distribution or expected number of students would have a driver's license</em>

μ = n p

= 10 × 0.6

= 6

<u><em>Conclusion</em></u>:-

<em>Expected number of students would have a driver's license = 6</em>

5 0

3 years ago

Help now please :))))

tino4ka555 [31]

Answer: the last one

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

(-8\9×1\-5)+(-8\9×-7\11)= -8\9×(1\-5×-7\11)

11111nata11111 [884]

$( \frac{ - 8}{9} \times \frac{1}{ - 5} ) + (\frac{ - 8}{9} \times \frac{ - 7}{11} ) = \frac{ - 8}{9} \times ( \frac{1}{ - 5 } \times \frac{ - 7}{11} )$

$\frac{ - 8}{9} = 0$

<h3>all like terms to be cancel </h3><h3>= -0.888888</h3>

please mark this answer as brainlist

8 0

3 years ago