What is the area of the polygons by composition

Mathematics

1 answer:

sergeinik [125]3 years ago

5 0

The rectangle has the dimensions 4 x 3.
The measure of 6 ft is the triangle plus the square's length.
The rectangle's length is 3.
To find the triangle's width, solve this: 3 + x = 6
Subtract 3 from each side to get x = 3.
The dimensions of the triangle is 3 x 4.
The area will be half of 3 x 4, so 12 / 2 or 6.
The rectangle's area is 12 because its dimensions are 3 x 4.
12 + 6 = 18 feet total.

Hope this helps!

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Solve the given differential equation by separation of variables. dy dx = xy + 5x − y − 5 xy − 2x + 6y − 12

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solution:

Consider the differential equation DE

Dy/dx = xy + 5x –y -5 /xy -2x + 6y -12

Write the DE as the follows.

Dy/dx = x(y+5) -1(y+5)/x(y-2) +6(y-2)

Dy/dx = (x-1) (y+5)/(x+6)(y-2)

Separate the variables.

y-2/y+5 dy = x-1/x+6 dx

integrate on the both sides,

∫y-2/y+5 dy = ∫x-1/x+6 dx

7in(x+6) -7in(y+5) = x-y+c

In(x+6)∧7 –in(y+5)∧7 = x-y+c , using bIna =Inab

In [(x+6)∧7/(y+5)∧7] = x-y+c ,using Ina – Inb = In(b/a)

eIn[(x+6)∧7/(y+5)∧7] = ex-y+c , taking exponents on both sides

(x+6)∧7/(y+5)∧7 = ec.ex-y ,use eInx = x

(x+6)∧7/(y+5)∧7 = c1ex-y , take ec =c1

Hence, the solution of the DE is (x+6)∧7/(y+5)∧7 = c1ex-y

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3 years ago

the area of a triangular sail is given by the expression 1/2bh, where b is the length of the base and hi is the height. What is

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Area= 1/2 b xh
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3 years ago

Read 2 more answers

Help picture below problem 17

mixas84 [53]

Answer:

Step-by-step explanation:

Angle KPJ is going to have the same measure as Angle DPE. This problem is a bit tricky, but I'll try my best to explain it. A straight angle is basically just a straight line, and it equals 180 degrees. Angle FPG is a straight angle.

To find the measure of Angle KPJ, we first have to find the measure of angle DPE, and the way we're gonna do that is add together the other angles in the straight angle (which would be Angle FPD and Angle EPG) and then subtract that from 180 (measure of a straight angle).

That might have sounded a bit confusing, but that's the best way I could explain it. Now, let's add Angle FPD and Angle EPG.

105 + 35 = 140

Now, let's subtract that from 180.

180 - 140 = 40

We now know that the measure of Angle DPE is 40, and since it's equivalent to Angle KPJ, our answer is 40!

I know that was confusing, but I hope it helped a little bit! Have a lovely day!! :)

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2 years ago

I need help i don’t get it

Anastaziya [24]

The answer is 4337 ÷ 9

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