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tankabanditka [31]

3 years ago

14

Hello i need help with question 5 asap!!

1 answer:

sergeinik [125]3 years ago

4 0

Answer:

arc DB length = 14π feet

Step-by-step explanation:

Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:

arc DB = 140° = 140°(π/180°) radians

__

Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...

s = rθ

where r represents the radius and θ is the measure of the arc in radians.

The arc length is ...

s = (18 ft)(7π/9) = 14π ft

Arc DB has a length of 14π feet.

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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago

What is the area of the figure?

Vanyuwa [196]

Answer: 42.5 m

Step-by-step explanation:

Split the figure into a rectangle and a triangle.

Find the areas of the rectangle and the triangle seperately and add them together.

Rectangle: 7 x 5 = 35

Triangle: 5 x 3/2 = 7.5

35+7.5= 42.5m

8 0

3 years ago

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A regular polygon has possible angles of rotational symmetry of 20°, 40°, and 80°. How many sides does the polygon have?

liq [111]

The answers 18 sides.

7 0

3 years ago

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Write the equation of this line in y= mx + b form

KiRa [710]

Answer:

y=4

Step-by-step explanation:

Because it is a horizontal line, there is no slope the only thing that is there is the y intercept

7 0

3 years ago

An arithmetic sequence a starts 2, 5, . .

Whitepunk [10]

Answer:

Tn = 3n-1

T6 = 17

Step-by-step explanation:

Given the arithmetic sequence;

2, 5...

first term a = 2

Common difference d = 5-2 = 3

nth term of an AP is expressed as Tn = a + (n-1)d

Tn = 2 + (n-1)(3)

Tn = 2 + 3n-3

Tn = 3n-1

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T6 = 3(6)-1

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Hence the 6th term of the sequence is 17

6 0

2 years ago