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Zielflug [23.3K]
3 years ago
5

Simplify 4(xy^2)^3 x (2x^3y)^2

Mathematics
1 answer:
tangare [24]3 years ago
7 0
4(xy²)³ · (2x³y)²
4(x³y⁶) · 4x⁶y²
4x³y⁶ · 4x⁶y²
16x⁹y⁸
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Please help on the area for 7 8 9 please all i need help is
weeeeeb [17]

The area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

<h3>What is the area of the equilateral, isosceles and right angle triangle?</h3>

Note that:

The area of an Equilateral triangle is expressed as A = ((√3)/4)a²

Where a is the dimension of the side.

The area of an Isosceles triangle is expressed as A = (ah)/2

Where a is the dimension of the base and h is the height.

The area of a Right angled triangle is expressed as A = (ab)/2

Where a and b is the dimension of the two sides other than the hypotenuse.

For the Equilateral triangle.

Given that;

  • a = 5.4mm
  • Area A = ?

A = ((√3)/4)(5.4mm)²

A = ((√3)/4)( 29.16mm² )

A = 12.6mm²

Area of the Equilateral triangle is 12.6mm²

For the Isosceles triangle.

Given that;

  • Base a = 3.4in
  • Slant height b = 5.9in
  • height h = ?
  • Area A = ?

The height h is the imaginary line drawn upward from the center of a.

First, we calculate the height using Pythagorean theorem

x² = y² + z²

Where x = b = 5.9in, y = a/2 = 3.4in/2 = 1.7in, and z = h

(5.9in)² = (1.7in)² + h²

34.81in² = 2.89in² + h²

h² = 34.81in² - 2.89in²

h² = 31.92in²

h = √31.92in²

h = 5.65in

Now, the area will be;

A = (ah)/2

A = (3.4in × 5.65in )/2

A = 19.21in²/2

A = 9.61in²

Area of the Isosceles triangle is 9.61in².

For the Right angled triangle

Given that;

  • a = 8.2yds
  • b = 4.1yds
  • c = 9.17yds
  • Area A = ?

A = (ab)/2

A = ( 8.2yds × 4.1yds)/2

A = ( 33.62yds²)/2

A = 16.81yds²

Area of the Right angled triangle is 16.81yds²

Therefore, the area of the equilateral, isosceles and right angled triangle are 12.6mm², 9.61in² and 16.81yds² respectively.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

6 0
2 years ago
Ben, sean, alexis and samantha divide a $47 so that ben and sean together got $27, ben and alexis got $25, and ben and samantha
ELEN [110]

Answer:

$11

Step-by-step explanation:

Let Ben has b,

sean has s

alexis has a

samantha has s

Money.

We need to write the words into equations and solve as we can.

b + s + a + s = 47

b + s = 27

b + a = 25

b + s = 23

We need to find a.

Let's put 2nd equation in first, to get:

27 + a + s = 47

a + s = 20 ---------- 5th equation

Now let's solve 4th equation for b and put it into 3rd equation:

b + s = 23

b = 23 - s

Putting in 3rd equation:

23 - s + a = 25

a - s = 2 ---------------6th equation

Now, add up 5th and 6th equation to get a:

a + s = 20

a - s = 2

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

2a = 22

a = 22/2 = 11

Alexis got $11

8 0
3 years ago
Which are equivalent to each other 6a-4a+2, 2+5a+5a and 9a+a+2 WHO EVER ANSWERS I WILL MARK BRAINLIEST
Tanya [424]

Answer:

2+5a+5a and 9a+a+2

Step-by-step explanation:

It is the answer as

6a-4a+2= 2a+2

2+5a+5a= 10a+2

& 9a+a+2= 10a+2

PLEASE MARK ME AS BRAINLIEST!!!

6 0
3 years ago
35 POINTS, Please help me with this high school geometry question.
Pani-rosa [81]

Answer:

A: part 1:

A. (-5,6)

B. (2,5)

C. (-2,-4)

Step-by-step explanation:

B: Part 2:

A. (-2,4) ---> (-5,6): moved left 3 times, moved up 2 times.

B. (5,3) ----> (2,5): moved left 3 times, moved right 2 times.

C. (1,-6) ----> (-2,-4): moved left 3 times, moved right 2 times.

Hope this helps you!! (:

5 0
3 years ago
Why do we subtract the x values and subtract the y values?
Anestetic [448]

Answer:

Because you have to get the answer

Step-by-step explanation:

5 0
3 years ago
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