30 ounces is how many pounds

A scientist enlarged a circular portion of a microscope slide to make it easier to count the number of bacteria present in the s

Tema [17]

Answer:

Option B. $212.1\ cm^{2}$

Step-by-step explanation:

step 1

Find the central angle of the shaded sector

Remember that the diameter divide the circle into two equal parts ( 180 degrees each part)

so

Let

x -----> the measure of the central angle of the shaded sector

∠x+72°=180°

∠x=180°-72°=108°

step 2

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=15\ cm$

assume

$\pi=3.1416$

substitute

$A=(3.1416)(15)^{2}$

$A=706.86\ cm^{2}$

step 3

Find the area of the shaded sector

Remember that the area of the complete circle subtends a central angle of 360 degrees

so

by proportion find the area of a sector by a central angle of 108 degrees

$\frac{706.86}{360}=\frac{x}{108}\\ \\x=706.86*108/360\\ \\x=212.1\ cm^{2}$

8 0

3 years ago

12. The cost of a scooter is 5685 more than the cost of a T.V. If the cost of the TV is 22643, find the total cost of scooter an

Gnom [1K]

Answer:

bro u just add them together

Step-by-step explanation:

5685+22643=28,328

3 0

3 years ago

Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x2 + 5x − 12 belongs to the interval (-1,

Misha Larkins [42]

Answer:

slope of the tangent

$\frac{d y}{d x} = 0.2(2 x) + 5 (1)$

The slope of the tangent to the interval (-1 ,1)

m = 4.6 ,5, 5.4

Step-by-step explanation:

Step(i):-

Given function is f(x) = 0.2 x² + 5 x − 12

Slope of the tangent formula

$m = \frac{d y}{d x}$

Let y = f(x) = 0.2 x² + 5 x − 12 ...(i)

Differentiating equation(i) with respective to 'x' , we get

$\frac{d y}{d x} = 0.2(2 x) + 5 (1) -0$

let x=-1

$m = \frac{dy}{dx} = 0.2 (2 X -1) +5 = 4.6$

let x=0

m = 5

let x=1

$m = \frac{dy}{dx} = 0.2 (2 X 1) +5 = 5.4$

conclusion:-

slope of the tangent

$\frac{d y}{d x} = 0.2(2 x) + 5 (1)$

The slope of the tangent to the interval (-1 ,1)

m = 4.6 , 5, 5.4

7 0

3 years ago

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The time t required to do a job varies inversely as the number of people working. It takes 5 hr for 3 cooks to prepare the food

miskamm [114]

Answer: It will take 1.875 hours

Step-by-step explanation:

Given that time t required to do a job varies inversely as the number of people working.

we have it expressed as

t∝1/N

where t is time required to do a job

N is the number of people working.

Introducing our constant of proportionality, we have tht

t=k1/N

t=k/N

Now since it takes 5 hr for 3 cooks to prepare the food , K becomes

t=k/N

5=K/3

K=5X3=15

Given that there are 8 cooks, time required to prepare dinner will be

t=k/N

t=15/8

t=1.875 hours

7 0

3 years ago

Anna babysits for $5 per hour. Find h, the number of hours she needs to work

Svetradugi [14.3K]

Answer:

H is constant

H = 3

Step-by-step explanation:

3 0

3 years ago

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