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3 years ago

Find the area of each polygon.

Mathematics

1 answer:

Talja [164]3 years ago

3 0

Answer:

1. 1+4 = 5in^2

2. 1+6 = 7cm^2

3. 8+4 = 12ft^2

4. 2(3) = 6m^2

5. 16+8 = 24yd^2

6. 5 + 10 = 15mi^2

Step-by-step explanation:

Each problem can be solved by just adding the areas of the individual simple shapes such as triangle and parallelogram.

Area of trigangle = $\frac{1}{2}$ *b*h

Area of parallelogram = b*h

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Solve the differential equation dy/dx= y^2/x^3 for y=f(x) with the condition y(1) = 1.

Gennadij [26K]

We will use seperation of variables

tmes both sies by 1/(y^2)
times both sides by dx

we get

1/(y^2)dy=1/(x^3)dx
integrate both sides
-1/y=1/(2x^2)+c

initial condition, (1,1)
-1/1=1/(2(1^2))+c
-1=1/2+c
-3/2=c

-1/y=1/(2x^2)-3/2
solve for y
-1=y(1/(2x^2)-3/2)
y=-1/(1/2x^2-3/2)
$y= \frac{2x^2}{3x^2-1}$

6 0

3 years ago

Part a how many inches would a point on the outer edge of the large gear travel in a 150º rotation?

Rasek [7]

Approximately 20.47 inches

<h3>How to calculate the value?</h3>

given large central gear radius r = 4 inches.

small central gear radius = 2 inches.

if large gear travel in a 150º rotation distance travelled by large gear is

$\frac{150 {}^{0} }{360 {}^{0} } \times 2 \times \pi \times 4 \\ \frac{10}{3} \times \pi \\ 10.47 \: inches$

so, distance travelled by outer edge is 10.47 inches.

Learn more about gear transmission,refer

brainly.com/question/3926797

#SPJ4

Disclaimer : This question was incomplete in potal.Here is the complete question

Question: The gear is one of the oldest mechanical devices. It has been used since ancient times for its ability to increase or decrease rotational velocity. When one gear turns another, the outer portions of the gears are turning at the same linear speed. However, when one gear is smaller or larger than the other, the speed of rotation will be different for each gear.

Let’s look at an application of gears that you’ve seen before. On a bicycle, the pedals are attached to a large gear at the center of the bike, and a chain connects the large gear to a small gear attached to the rear wheel. The chain does not change the speed of rotation; it serves only to separate the centers of rotation.

Consider a bicycle where the large central gear has a radius of 4 inches and the small back gear has a radius of 2 inches.

Part A : How many inches would a point on the outer edge of the large gear travel in a 150º rotation?

3 0

2 years ago

By what number should you multiply the 1st equation to cancel the x's using the elimination method?

12345 [234]

Answer:

-3

Step-by-step explanation:

3 0

3 years ago

Use synthetic division to find the quotient and remainder. Express your answer as a polynomial.

OLEGan [10]

1. 2x³ - 11x² + 13x - 21 ÷ x - 3

x - 3 = 0 ⇒ x = 3

3 | 2 -11 13 -21

| ↓ 6 -15 -6

2 -5 -2 -27

1. Answer: 2x² - 5x - 2 - $\frac{27}{x - 3}$

*************************************************************

2. 3x³ + 7x² - 13x + 10 ÷ x + 2

x + 2 = 0 ⇒ x = -2

-2 | 3 7 -13 10

| ↓ -6 -2 30

3 1 -15 40

2. Answer: 3x² + x - 15 + $\frac{40}{x + 2}$

3. 2x³ + 13x² - 21x + 9 ÷ x - 1

x - 1 = 0 ⇒ x = 1

1 | 2 13 -21 9

| ↓ 2 15 -6

2 15 -6 3

3. Answer: 2x² + 15x - 6 + $\frac{3}{x - 1}$

4. 7x³ + 0x² - 8x + 16 ÷ x - 2

x - 2 = 0 ⇒ x = 2

2 | 7 0 -8 16

| ↓ 14 28 40

7 14 20 56

4. Answer: 7x² + 14x + 20 + $\frac{56}{x - 2}$

5. 8x⁴ - 14x³ - 71x² - 10x + 24 ÷ x - 4

x - 4 = 0 ⇒ x = 4

4 | 8 -14 -71 -10 24

| ↓ 32 72 4 -24

8 18 1 -6 0

5. Answer: 8x³ + 18x² + x - 6

8 0

3 years ago

How do you solve square root problems<img src="https://tex.z-dn.net/?f=%2012%20%5Csqrt%28%20-10%29%5E12%20" id="TexFormula1" tit

shtirl [24]

IF it is $\sqrt[12]{-10^{12} }$ then the roots would cancel out the power of 12. and the result would be -10

3 0

3 years ago