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2 years ago

What’s the approximate value of tan 1

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

6 0

Answer: tan 1 radians = 1.557, tan 1 degrees = 0.017

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What are the two square roots of 18

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It’s 9! 9 is the square root of 18

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3 years ago

Pedro bought a movie ticket for $9.50 and popcom por $4.35. He has $8.75 left

Olegator [25]

Answer:

He had $22.60

Step-by-step explanation:

$9.50 + $4.35 = 13.85 + 8.75 = $22.60

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3 years ago

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3 years ago

Solve the equation 4 (x-3) + 5=1

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4 years ago

A colony of feral cats is increasing at a rate of 3 + 5t cats per year (where t is measured in years). By how much does the colo

snow_lady [41]

Answer:

3. increases by 228 cats

Step-by-step explanation:

The rate of the increase in cats is given by:

$3+5t$

as this is the rate, we can write it as:

$\dfrac{dS}{dt} = 3 + 5t$

here t is the time in years. and S in the size of the colony

we're asked about the increase in size between the 10th and 4th year. So we need to know the sizes of the colony in those years.

We can find this out by integration. The above equation can be seen as a differential equation. Hence,

$dS = (3+5t)dt\\S(t) = \displaystyle\int{3+5t}\,dt \\S(t) = 3t+\dfrac{5}{2}t^2+C$

S(t) is the function of the size of the colony at time t. We need to find the differences of sizes between t = 10 and t = 4. Basically,

$\text{difference} = S(10) - S(4)\\\text{difference} = 3(10) + \dfrac{5}{2}(10)^2 + C - \left(3(4) + \dfrac{5}{2}(4)^2 + C\right) \\$

The C's will cancel out

$\text{difference} = 3(10) + \dfrac{5}{2}(10)^2 -3(4) -\dfrac{5}{2}(4)^2\\\text{difference} = 228$

6 0

3 years ago