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Tatiana [17]
3 years ago
12

A building that is 25 meters tall casts a shadow that is 6 meters long. At the same time, a tree cast a shadow that is 4 meters

long. How tall is the tree?
(Freshman highschool math problem)
Mathematics
1 answer:
Kamila [148]3 years ago
3 0
God I remember when I had to that last year in 7th grade honors. I know you have to set up a proportion.

25/6. X/4. Find x and you get your answer
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Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair on the graph of the line relating number
Nikolay [14]
<span>number of gallons of gas, x
</span><span>total cost of the gas, y
</span>
3.75x <= 12
       x <= 3.2

<span>The greatest amount of gas Berto can buy is 3.2 gallons</span>
5 0
3 years ago
Read 2 more answers
Evaluate the difference quotient for the given function.
kherson [118]

Assuming you mean f(t) = g(t) × h(t), notice that

f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)

Then the difference quotient of f is

\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}

Recall the angle sum identity for sine:

sin(x + y) = sin(x) cos(y) + cos(x) sin(y)

Then we can write the difference quotient as

\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}

or

\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}

(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)

7 0
2 years ago
Two ways to write 600,000+80,000+10
inn [45]
Six hundred thousand ,+ Eighty thousand ,+ ten.
8 0
2 years ago
Read 2 more answers
Perform the computation:
adoni [48]

9514 1404 393

Answer:

  √42 ≈ 6.48074

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic.

  \sqrt{(a)(b)}=\sqrt{(14)(3)}=\boxed{\sqrt{42}\approx6.48074}

_____

42 = 2·3·7 is not a perfect square, nor does it have any perfect square factors. Its square root is irrational.

7 0
3 years ago
Please Help me with these question. first person to help me gets brainliest!!!!
lara [203]

4) the distance between the x-values is 3 and the distance between the y-values is 4

3² + 4² = d²

9 + 16 = d²

25 = d²

√25 = d

5 = d

Answer: C

6)

d = \sqrt{(x2 - x1)^{2}  + (y2 - y1)^{2} }

d = \sqrt{(-2 - (-3))^{2}  + (2 - (-4))^{2} }

d = \sqrt{(-2 +3)^{2}  + (2 +4)^{2} }

d =  \sqrt{(1)^{2}  + (6)^{2} }

d =  \sqrt{1 + 36}

d = \sqrt{37}

d = 6.1

Answer: A

7 0
3 years ago
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