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Mathematics

1 answer:

riadik2000 [5.3K]1 year ago

7 0

Answer:

74.52

Step-by-step explanation:

$P(10)=0.018(10)^3-0.294(10)^2+3.074(10)+55.180 \\ \\ =74.52$

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Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?

loris [4]

Answer:

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

5 0

3 years ago

350 rounded to the nearest hundred is

yarga [219]

$\huge\text{Hey there!}$

$\huge\text{350 rounded to the nearest hundred is...}$

$\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}$

$\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}$