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Monica [59]
4 years ago
12

Do Now 60: What are the formulas to find area for a square, triangle, rectangle, parallelogram, trapezoid, circle, ellipse and e

quilaterial triangle?
Mathematics
1 answer:
Alexandra [31]4 years ago
5 0

Answer:

Area of a square = Length × Length

Area of a triangle = 1/2 base × height

Area of a rectangle = Length × breadth

Area of a parallelogram = base × height

Area of a trapezoid = 1/2 × sum of parallel sides × height

Area of circle = π × square of the radius

Area of ellipse = π × product of major and minor radii

Area of equilateral triangle = 1/2 base × height

Step-by-step explanation:

The area of a square is calculated by multiplying the length by itself.

The area of a triangle is calculated by multiplying half the base of the triangle by its height

The area of a rectangle is found by multiplying the length of the rectangle by its breadth

The area of a parallelogram is calculated by multiplying the base of the parallelogram by its height

The area of a trapezoid is found by multiplying half the sum of the two parallel sides by its height

The area of a circle is calculated by multiplying pi by the square of the radius of the circle

The area of an ellipse is found by multiplying pi by the product of the major and minor radii of the ellipse

The area of an equilateral triangle is calculated by multiplying half the base of the triangle by its height. The height is calculated using Pythagoras theorem

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12x(3+2^2) divided by 2-10
kipiarov [429]

Answer:

1. Find 12x(3+2²)

12 x (3+2²) = 84

2. Divide

84÷2-10 = 32

3. Done!

Answer is 32.

Hope I helped. :)

5 0
3 years ago
The sum of 5 times the width of a rectangle and twice its length is 26 units. The difference of 15 times the width and three tim
Zinaida [17]

Answer: length = 8 units

Width = 2 units

Step-by-step explanation:

Let the length of the rectangle be represented by L

Let the width of the rectangle be represented by W

The sum of 5 times the width of a rectangle and twice its length is 26 units. This means that

5W + 2L = 26 - - - - - - - - 1

The difference of 15 times the width and three times the length is 6 units. It means that

15W - 3L = 6 - - - - - - - - 2

The system equations are equation 1 and equation 2.

Multiplying equation 1 by 3 and equation 2 by 2, it becomes

15W + 6L = 78

30W - 6L = 12

Adding both equations,

45W = 90

W = 90/45 = 2

15W - 3L = 6

15×2 - 3L = 6

-3L = 6 - 30 = - 24

L = - 24/ -3 = 8

7 0
3 years ago
The total cost after tax to buy floor tiles is represented by 14f + 0.097(14f), where f represents the number of square feet of
Firdavs [7]

Answer:

exActual room size: 8 ft 7 in x 5 ft 2 in

Convert to inches, actual room size: 103 in x 62 in

103" x 62"= 6386 inches / 144 (1 sf) = 44.50 sf + waste factor (44.50 x 1.10) = 49 sf

The same method is used when measuring walls. Measure the area to be tiled on each wall. Add them together and figure the square footage. Add your waste factor and this is the amount needed.

Most vertical applications will require trim pieces which have finished edges, this requires a linear measurement. Trim pieces will be used:

1. Where a tiled surface ends on an open wall leaving an exposed tile edge,

2. Where a vertical surface meets a horizontal, like on the edge of a countertop,

3. Where a vertical surface turns a corner, like on the outside corner of a wall.

Trim pieces and decoratives are typically sold by the piece. To figure the quantity you have to establish the length of the trim piece (i.e. 6" bullnose, 8" decorative liner), then the rule is: Linear Inches/Piece Length = Quantity

3 0
3 years ago
Can someone pls help with this? thank u :)
Daniel [21]

This is the way to solve this

8 0
3 years ago
Glven the system below:
e-lub [12.9K]
The correct answers are 1 and 2.

Given the functions, f(x) = 2x and g(x) = 2^x

Plug the given options to see which value of x makes f(x) = g(x):

For x = 0:

f(0) = 2(0) = 0
g(0) = 2^(0) = 1

Therefore, since f(0) ≠ g(0), then it is not a solution to the given system.


For x = 1:

f( 1 ) = 2( 1 ) = 2
g( 1 )= 2^( 1 ) = 2

Therefore, since f(1 ) = g( 1 ), then IT IS a solution to the given system.

For x = 2

f( 2 ) = 2( 2 ) = 4
g( 2 )= 2^( 2 ) = 4

Therefore, since f( 2 ) = g( 2 ), then IT IS a solution to the given system.

For x = 3:

f(3) = 2(3) = 6
g(3) = 2^(3) = 8

Therefore, since f(3) ≠ g(3), then it is not a solution to the given system.

For x = 4:

f(4) = 2(4) = 8
g(4) = 2^(4) = 16

Therefore, since f(4) ≠ g(4), then it is not a solution to the given system.


Thus, 1 and 2 are the solutions to the given system that makes f(x) = g(x).
8 0
3 years ago
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