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3 years ago

Help me for brainlist no cap

Mathematics

2 answers:

Schach [20]3 years ago

7 0

Answer:

Step-by-step explanation:

So first, you find the area of a rectangle, which would be 15 * 30 = 450. Next, find the area of the semicircle by doing $\pi *r^2 / 2$ (you have to divide by 2 because it's only have a circle).

The radius is half of 15, so 15 / 2 = 7.5. This would be:

$\pi * 7.5^2 / 2$

$=\pi * 56.25 /2$

$=28.125\pi$

$=28.125*3.14=88.3125$

The last step is to add 450 + 88.3125 = about 538.3 m^2

CaHeK987 [17]3 years ago

7 0

Answer: B

Step-by-step explanation:

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Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

<em>Hence, the smallest sum is 2</em>

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andrew-mc [135]

Answer:

Step-by-step explanation: always remember that sign as irrational

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jok3333 [9.3K]

Answer:

x > 2

Step-by-step explanation:

Since the dot is not filled in, it does not include 2. Since it is moving to the right, it means it is more than 2.

Hope that helps!

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olga_2 [115]

Answer:

Plane SPT and Plane SPV

Step-by-step explanation:

A plane is defined by the set of three points lying on the same (two dimensional) surface.

A plane 'R' has been given in the picture.

Points lying on this plane or surface are S, P, T and V.

Therefore, possible names may be,

SPT, STV, SPV, PTV

From the given options names of the plane R will be,

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The answer:

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