What focal-length eyepiece is needed if your eye can resolve objects 0.10 mm apart at a distance of 25 cm?

Find the area of a circle with a circumference of 6.28 unitesz

Anni [7]

Answer:

3.14 square units

Step-by-step explanation:

Circumference of a circle = 2πr

2πr = 6.28

r = 6.28/2π

r = 3.142/π

Area of a circle = πr^2

slot in the value of r

Area of the circle = π( 3.142/π)^2

" = π(9.87/ π^2)

" = 9.87/π

π = 3.14

Area of a circle = 9.867/ (3.14)

" = 3.14 square units

8 0

3 years ago

I really need help with this, thank you!!!

Lyrx [107]

Answer:

6. 60°

7. 5.19559

8. 7.96011

Step-by-step explanation:

6. The sum of angles in a triangle is 180°, so the remaining angle is ...

180° -40° -80° = 60°

7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).

a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559

8. Same explanation as 7.

b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011

3 0

3 years ago

Read 2 more answers

A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to

tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

From the problem statement, we can formulate the following equations:

1. y + z = 30 ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120 ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90 ---> each animal has 2 eyes only

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

3 0

3 years ago

Which function is shown in the graph below

Alchen [17]

Answer:

y=log1^x

Step-by-step explanation:

plug in one of the points for example (1,0)

in all the choices the only choice that is correct is the second one

4 0

3 years ago

Read 2 more answers

Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel. How long would i

Whitepunk [10]

Answer:

32 hours.

Step-by-step explanation:

Let x represent the time taken by Russell and Aaron to build the shed.

We have been given that Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel.

Russell's work rate would be $\frac{1}{x}$ .

Since Aaron works three times as fast as Russel, so Aaron's work rate would be $\frac{3}{x}$ .

Part of work done by in one hour would be $\frac{1}{8}$ .

We can represent our given information in an equation as:

$\frac{1}{x}+\frac{3}{x}=\frac{1}{8}$

Let us solve for x.

$\frac{1}{x}*8x+\frac{3}{x}*8x=\frac{1}{8}*8x$

$8+3*8=x$

$8+24=x$

$32=x$

Therefore, it will take Russell 32 hours to build the shed working alone.

4 0

3 years ago