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3 years ago

Find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

4 0

Answer:

TSA=115.5cm²

Step-by-step explanation:

T.S.A=3πr²

Given r=3.5cm

eq.

3×22/7×3.5×3.5

=3×22×0.5×3.5

=115.5cm²

Roman55 [17]3 years ago

4 0

Answer:

$19.25cm^{2} \\$

Step-by-step explanation:

Formula

$\frac{\pi r^{2} }{2}$

Solve

$\frac{(\frac{22}{7} )(3.5cm)^{2}}{2}= \frac{(\frac{22}{7} )(3.5cm)(3.5cm)}{2}=\frac{((\frac{22}{7} )(3.5cm))(3.5cm)}{2}=\frac{(\frac{77}{7}cm)(3.5cm) }{2}$ =

$\frac{(11cm)(3.5cm)}{2}=\frac{38.5cm^{2}}{2}=19.25cm^{2}$

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I need help on this question

kotegsom [21]

Answer:

My guess would probably be $370.

Explanation:

The reason I say that is because since 200 euros was 270 American dollars, why not try the same thing for 300 euros? If you do the process of elimination, it wouldn't be the $540. The same for the second one so, you have 2 remaining options left. The third or the fourth.

Hope that helps!!

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3 years ago

The base of a prism has n sides. Find the numbers of faces, edges, and

Harman [31]

Answers:

faces = n+2
edges = 3n
vertices = 2n

===========================================================

Explanation:

Think of a hexagonal room with n = 6 walls, i.e. the floor is a hexagon with n = 6 sides. The floor and ceiling are parallel to each other, and congruent hexagons. That's 2 faces so far. Then we have another 6 faces to account for the walls. This gives 2+6 = 8 faces of a hexagonal prism.

In more general terms, a prism with a base of n sides will have 2 parallel and congruent base faces, and n walls or lateral faces. This gives n+2 total faces.

------------------------

Let's go back to the hexagonal prism. The floor has 6 sides to it, and so does the ceiling. We have 6+6 = 12 edges so far. Then we have another 6 edges where each of the rectangular walls meet up. That gives 12+6 = 18 edges total of this hexagonal prism room.

For any more general case, each base has n sides. That gives 2n sides so far for just the bases. Then add on another n for the lateral edges and we get 3n total edges.

--------------------------

Once again lets revisit the room with the hexagonal floor and ceiling. The floor has 6 vertices and the ceiling has the same vertex count. Therefore, this prism has 6+6 = 12 vertices.

For the general case, each base has n vertices. There are 2 such identical bases giving 2n vertices total.

---------------------------

One way to check the answer:

We could use Euler's Polyhedron Formula which is

F+V-E = 2

where,

F = number of faces
V = number of vertices
E = number of edges

For the hexagonal prism we found

F = 8
V = 12
E = 18

Then notice how

F+V-E = 2

8+12-18 = 2

20-18 = 2

2 = 2

This confirms the formula works for a hexagonal prism.

Now let's check it for the more general case

We found earlier that,

F = n+2
V = 2n
E = 3n

So,

F+V-E = 2

n+2+2n-3n = 2

3n-3n+2 = 2

0n+2 = 2

0+2 = 2

2 = 2

This helps confirm the answer for any prism with the base of n sides.

4 0

2 years ago

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s

RSB [31]

Well, is the function continuous? yes, is a cubic one, you can graph it if you wish, is continuous all the way, and of course at [ 0, 4] too.

is it differentiable? you can always look at the graph between 0,4 and is a smooth transition line, thus yes, it is differentiable, but let's check anyway,

$\bf \cfrac{dy}{dx}=3x^2-2x-12$ its derivative has no asymptotes and therefore no "cusps", so yes, is differentiable all around.

is f(0) = f(4), let's check

f(0) = 0+0+0+3, f(0) = 3
f(4) = 64 - 16 - 48 + 3, f(4) = 3

yeap

there must then be a "c" value(s) with a horizontal tangent slope, let's check, is really just the critical points.

$\bf \cfrac{dy}{dx}=3x^2-2x-12\implies 0=3x^2-2x-12
\\\\\\
\textit{using the quadratic formula}
\\\\\\
x=\cfrac{-(-2)\pm\sqrt{(-2)^2-4(3)(-12)}}{2(3)}\implies x=\cfrac{2\pm\sqrt{4+144}}{6}
\\\\\\
x=\cfrac{2\pm 2\sqrt{37}}{6}\implies x=\cfrac{2\pm\sqrt{37}}{3}\impliedby \textit{c's}$

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3 years ago

A computer valued at $2500 loses 6.5% of its value every year. How much will it be worth in 4 years?

I am Lyosha [343]

Answer:

The computer will be worth $1,850 after four years.

Step-by-step explanation:

We need to find 6.5% of $2,500.

2,500 x 0.065 = $162.50

Therefore, the computer value decreases by $162.50 each year. Since we need to know the computer value after 4 years, we also need to multiply the value of decrease by 4.

162.5 x 4 = $650

Therefore, after 4 years, the computer value will decrease by $650.

To find the whole computer value after 4 years, we need to subtract the initial value of $2,500 by the 4-year decreasing value of $650.

2,500 - 650 = $1850

Therefore, the computer will be worth $1,850 after four years.

Hope this helps! :D

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3 years ago

Simplify the following. a) 3 xa x 2 x b b) сх с c) 2y4 x 5y d) 3gh? x 4gºh

Fynjy0 [20]

A) 6abx

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3 years ago

Read 2 more answers

Find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7​

Find the area of a Semicircle whose radius is 3.5 cm (take pi as 22/7