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2 years ago

How many triangles can be constructed with three sides measuring 11 meters,16 meters,and 26 meters?

Mathematics

1 answer:

topjm [15]2 years ago

5 0

You can only construct one triangle with three sides measuring 11 meters,16 meters, and 26 meters.

To add, a triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.

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Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y

irina [24]

Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

$y'(x)= x^2y(x)-\frac12y^2(x)$

Putting the value of y'(x) in equation (1)

$y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))$

Substituting x =0 and h= 0.2

$y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]$

$\Rightarrow y(0.2)\approx 3+0.2[-\frac12 \times3]$ [∵ y(0) =3 ]

$\Rightarrow y(0.2)\approx 2.7$

Substituting x =0.2 and h= 0.2

$y(0.2+0.2)\approx y(0.2)+0.2[(0.2)^2\times y(0.2)-\frac12 (y(0.2))^2]$

$\Rightarrow y(0.4)\approx 2.7+0.2[(0.2)^2\times 2.7- \frac12(2.7)^2]$

$\Rightarrow y(0.4)\approx 1.9926$

Substituting x =0.4 and h= 0.2

$y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]$

$\Rightarrow y(0.6)\approx 1.9926+0.2[(0.4)^2\times 1.9926- \frac12(1.9926)^2]$

$\Rightarrow y(0.6)\approx 1.6593$

Substituting x =0.6 and h= 0.2

$y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]$

$\Rightarrow y(0.8)\approx 1.6593+0.2[(0.6)^2\times 1.6593- \frac12(1.6593)^2]$

$\Rightarrow y(0.6)\approx 0.8800$

Substituting x =0.8 and h= 0.2

$y(0.8+0.2)\approx y(0.8)+0.2[(0.8)^2\times y(0.8)-\frac12 (y(0.8))^2]$

$\Rightarrow y(1.0)\approx 0.8800+0.2[(0.8)^2\times 0.8800- \frac12(0.8800)^2]$

$\Rightarrow y(1.0)\approx 0.9152$

Therefore the value of y(1)= 0.9152.

4 0

2 years ago

A family needs to build fencing around their rectangular

lilavasa [31]

Answer:

160

Step-by-step explanation:

If you are given a rectangular home and a square swimming pool, with dimensions of Pool = 2x & home = (2 +5x) & (3+10x) The total amount of fencing they need can be written as x + 10. If x = 5; The family needs 5 yards of fencing for their home. The family needs 10 yards of fencing for their pool.

may I have brainliest?

8 0

2 years ago

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Find the slope of the line that passes<br> through these two points.

AysviL [449]

Answer:

1/5

Step-by-step explanation:

$\frac{2-1}{3--2} = \frac{1}{5}$

8 0

2 years ago

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A cookout tray consists of one main item, two different sides, and a drink. if cookout offers 10 main items, 10 sides, and 5 dri

OLEGan [10]

The number of unique cookout trays are possible is 500

<h3>How many unique cookout trays are possible?</h3>

The given parameters are:

Main items = 10

Sides = 10

Drinks = 5

The number of unique cookout trays are possible is

Cookout trays = Main items * Sides * Drinks

So, we have:

Cookout trays = 10 * 10 * 5

Evaluate

Cookout trays = 500

Hence, the number of unique cookout trays are possible is 500