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3 years ago

The diameter of a circle is 6 m. Find its area in terms of pi

Mathematics

2 answers:

Pie3 years ago

7 0

<h2>Answer:</h2><h2>9 pi m^2</h2>

Solution,

Diameter=6 m

Radius= 6/2=3m

Area of circle= pi r ^2

 = pi *(3)^2

 =9 pi metre^2

Hope it helps

Good luck on your assignment

malfutka [58]3 years ago

3 0

Answer:

9 pmi

Step-by-step explanation:

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A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop

lesantik [10]

Answer:

The number of distinct arrangements is 12600.

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

n₁, n₂, n₃ ... is the number of arrangements for each object
n is the number of objects
nₓ is the number of arrangements for the last object

In this case

n₁ is the identical copies of Hamlet
n₂ is the identical copies of Macbeth
n₃ is the identical copies of Romeo and Juliet
nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)

= 12600 ways

Thus, the number of distinct arrangements is 12600.

4 0

3 years ago

Is the enlargement or a reduction? Find the scale factor of the dilation. Explain

malfutka [58]

Good evening ,

Answer:

In this case the dilation is a reduction (as you can see the image triangle is smaller than the original triangle)

and also the scale factor = OA’/OA = 2/6 = 1/3

since -1 < 1/3 < 1 then it’s a reduction.

Step-by-step explanation:

Look at the photo below for more details (notice OA’ and OA).

________________________________________________

4 0

2 years ago

The Country Buffet restaurant has tables that seat 6 people and booths that can seat 4 people. The restaurant has 38 seating uni

Alina [70]

Answer:

There are 20 booths and (38 - 20), or 18, tables

Step-by-step explanation:

Represent the number of tables with t and the number of booths with b.

We need to find the values of t and b.

(6 people/table)(t) + (4 people/booth)b = 188 (units are "people")

t + b = 38 (units are "seating units")

Solving the second equation for t, we get 38 - b = t.

Substitute 38 - b for t in the first equation:

(6 people/table)(38 - b) + (4 people/booth)b = 188

Then solve for b: 6(38) - 6b + 4b = 188, or:

228 - 2b = 188, or 2b = 228 - 188, or 2b = 40. Thus, b = 20 (booths)

There are 20 booths and (38 - 20), or 18, tables.

6 0

3 years ago

egoroff_w [7]

Answer:

Step-by-step explanation:

Answer:

$125

Explanation:

Cost of meal = $100

+ 5 % sales tax = 0.05 × 100 = + 5

+ 20 % tip = 0.20 × 100 = 20

Total cost = $125

The total cost of the meal was $125.

8 0

3 years ago

Let f be the function given by f(x)=x³−3x². What are all values of c that satisfy the conclusion of the Mean Value Theorem of di

FromTheMoon [43]

Answer:

The values are c = 2

Step-by-step explanation:

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists a point c in (a, b) such that

f'(c) = (f(b) - f(a)) / (b - a)

Therefore,

f(x) = x³ - 3 x² is a function that is continuous on [0, 3] and differentiable on (0, 3), so there exists at least one c in (0, 3) such that

f'(c) = (f(3) - f(0)) / (3 - 0) = (0 - 0) / 3 = 0

where

f'(x) = 3 x² - 6 x,

f(3) = 0

f(0) = 0

Thus, since f'(0) = 3 c² - 6 c = 0, which only has one solution in (0, 3), namely c = 2 ( since the other solution, c = 0, is not in the open interval).

4 0

3 years ago