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4 years ago

5

a tree cast shadow that is 24 ft long. a 4-ft tall young boy casts a shadow that is 3 ft long. the two triangels created are sim

ilar. how tall is the tree?

1 answer:

nikitadnepr [17]4 years ago

4 0

32 Feet because 4/3 is equal to 1 1/3 and 24 times 1/3 is equal to 32.

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Differential Equations

SashulF [63]

Answer:

$b=\pm2\sqrt{2}$

Step-by-step explanation:

For the spring mass system

my"+by'+ky=0

The system is said to be critically damped if $b^2-4mk=0$

Here b is coefficient of friction

m is the mass of system

And k is spring constant

We have given m = 2 kg , k =1

So $b^2-4\times 2\times 1=0$

$b^2=8$

$b=\pm2\sqrt{2}$

So the coefficient of friction is $\pm2\sqrt{2}$

7 0

3 years ago

A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent

Vikki [24]

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

8 0

3 years ago

Which could be the function graphed below?

jenyasd209 [6]

Answer:

f(x) = √x - 2

Step-by-step explanation:

that graph is what the graph of a square root looks like translated 2 units down

since the translation is vertical, the -2 must be outside the square root

5 0

3 years ago

Today Ian wants to run less than 7/12 miles. Write a fraction with a denominator of 4 to represent a distance that is less than

vovangra [49]

A fraction with a denominator of 4 to represent a distance that is less than 7/12 miles is 1/4

5 0

3 years ago

Y_Kistochka [10]

The function $f(x)=(x-2)^3+8$ is one-to-one and the inverse of $f(x)$ is $f^{-1} (x)=(x-8)^\frac{1}{3}+2$ .

A function is one-to-one if for $f(a)=f(b)$ , we show that $a=b$ .

$f(a)=(a-2)^3+8$

$f(b)=(b-2)^3+8$

Take $f(a)=f(b)$

$(a-2)^3+8=(b-2)^3+8$

$(a-2)^3=(b-2)^3$

Let $A=a-2$ and $B=b-2$

If $A^3=B^3$ , then $A=B$ .

So, $a-2=b-2$

$a=b$ .

So, the function is one-to-one.

For the inverse of $f(x)$ , replace $x$ with $y$ and solve for $y$ .

$x=(y-2)^3+8$

$(y-2)^3=x-8$

$y-2=(x-8)^\frac{1}{3}$

$y=(x-8)^\frac{1}{3}+2$

So, the inverse of $f(x)$ is $y=(x-8)^\frac{1}{3}+2$ .

Learn more about and inverse of a function here:

brainly.com/question/2541698?referrer=searchResults

5 0

2 years ago