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Vera_Pavlovna [14]
3 years ago
10

What is the measure of each side of a square with area equals 225square meter?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
6 0
It is 15 meters long on each side.
You find the square root of 225 which is 15, because when you multiply 15 by 15 you get 225.
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Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the s
Drupady [299]

Answer:

The perimeter of the dog's play area is 30 ft

Step-by-step explanation:

Rectangle:

  • The opposite sides are congruent.
  • The opposite angles are congruent.
  • The sum of all four angles of a rectangle is 360°.
  • The sum of two adjacent angles of a rectangle is 180°.
  • The diagonals bisect each other.
  • The perimeter of a rectangle is = 2(Length+width)
  • The area of a rectangle is = Length × width

Given that,

The length of the long side of the dog's play area was = 10 ft.

So, Length of dog's play area is = 10 ft.

The length of the short side of the dog's play area was = 5 ft.

So, width of dog's play area is = 5 ft.

It is a rectangular plot.

So, the perimeter of the dog's play area is =2(Length+width)

                                                                      =2(10+5) ft

                                                                      =2(15) ft

                                                                      =30 ft

5 0
3 years ago
Part 3: Write the equation of and graph an ellipse.
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The center is halfway between vertices, at (4, -6).

It is also halfway between foci.

:::::

The vertices are vertically aligned, so the parabola is vertical.

General equation for a vertical ellipse:

 (y-k)²/a² + (x-h)²/b² = 1

with

 center (h,k)

 vertices (h,k±a)

 co-vertices (h±b,k)

 foci (h,k±c), c² = a²-b²

Apply your data and solve for h, k, a, and b.

center (h,k) = (4, -6)

h = 4

k = -6

vertices (4,-6±a) = (4,-6±9)

a = 9

foci (4,-6±c) = (4,-6±5√2)

b² = a² - c² = 9² - (5√2)² = 31

b = √31

The equation becomes

 (y+6)²/81 + (x-4)²/31 = 1

:::::

length of major axis = 2a = 18

length of minor axis = 2b = 2√31

8 0
2 years ago
I don't understand this, please help ​
dimulka [17.4K]

Answer:

∠2 = 150°, it is a supplementary angle to 30°

∠3 = 30°, it is an alternate angle to 30°

∠4 = 150°, it is a supplementary angle to 30°

∠5 = 30°, it is an alternate angle to 30°

∠6 = 150°, it is a supplementary angle to 30°

∠7 = 30°, it is an alternate angle to 30°

∠8 = 150°, it is a supplementary angle to 30°

6 0
3 years ago
Y = -4x + 8<br> Y=3/5x - 6/5
VladimirAG [237]

Answer:

x=2 and y=0

Step-by-step explanation:

Rewrite equations:

y=−4x+8;y=

3

5

x+

−6

5

Step: Solvey=−4x+8for y:

y=−4x+8

Step: Substitute−4x+8foryiny=

3

5

x+

−6

5

:

y=

3

5

x+

−6

5

−4x+8=

3

5

x+

−6

5

−4x+8+

−3

5

x=

3

5

x+

−6

5

+

−3

5

x(Add (-3)/5x to both sides)

−23

5

x+8=

−6

5

−23

5

x+8+−8=

−6

5

+−8(Add -8 to both sides)

−23

5

x=

−46

5

−23

5

x

−23

5

=

−46

5

−23

5

(Divide both sides by (-23)/5)

x=2

Step: Substitute2forxiny=−4x+8:

y=−4x+8

y=(−4)(2)+8

y=0(Simplify both sides of the equation)

5 0
2 years ago
Given f’(x), where is f(x) increasing? Where is f(x) concave up?
Levart [38]

Answer:

See explanation below

Step-by-step explanation:

a. f(x) is increasing at (-∞, 1] and [7, ∞) because f'(x) is positive at those intervals.

b. f(x) is concave up at [4, ∞) because the slope of f'(x) or f''(x) is positive.

3 0
3 years ago
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