MATHEMATICS HIGH SCHOOL

Sketch the rectangles and your tiling. Write the Dimensions and the units you counted in the blanks. Then, use multiplication to confirm the area. Show your work.

Answers

Answer 1

Answer:

Answer:

The area of the rectangle is $12units^(2)$

Step-by-step explanation:

The sketch is in the attachement.

long: $4-units$

wide: $3-units$

The rectangle has 4 units long and 3 units wide

area of rectangle is the product of long and wide side.

$Area=l*w\nArea=4units*3units\nArea=12units^(2)$

Answer 2

Answer:

Step-by-step explanation:

Below are the dimensions of the rectangle and the crossed portions are unwanted regions.

Rectangle A:

Length, l = 3 units

Width, b = 2 units

Area of a rectangle = length × width

= 3 × 2

= 6 units^2

Rectangle B:

Length, l = 3 units

Width, b = 2 + 1/2 units

= 5/2 units

Area of a rectangle = length × width

= 3 × 5/2

= 15/2 units^2

Rectangle C:

Length, l = 5 units

Width, b = 1 + 1/2 units

= 3/2 units

Area of a rectangle = length × width

= 5 × 3/2

= 15/2 units^2

Rectangle D:

Length, l = 2 units

Width, b = 1 + 3/4 units

= 7/4 units

Area of a rectangle = length × width

= 2 × 7/4

= 7/2 units^2

Rectangle E:

Length, l = 5 units

Width, b = 3/4 units

= 3/4units

Area of a rectangle = length × width

= 5 × 3/4

= 15/4 units^2

Related Questions

The distance between each base on a baseball field is 90 feet. What is the approximate distance from second base to home plate?A.90 feet B.127.3 feet C.140.2 feet D.180 feet
Find the slope of the line between y = 1/8x -1
True or False: A method of creating a geometric figure that is mathematically precise by using a compass andstraightedge is called drawing or copying.
I need help with this
What is the perimeter of the triangle expressed as a polynomial? Length: 8x-2 Length: 5x-4 Width: 9x-3If you could show me how you got the complete answer I would really appreciate it.

A regular square pyramid has a base length of 6 cm. The slant height of the pyramid is 9 cm. What is the surface area of the regular pyramid?a. 90 cm2
b. 120 cm2
c. 144 cm2
d. 252 cm2

Answers

l = 6 cm
h = 9 cm
A = l×l + 4×1/2×l×h = 6×6 + 2×6×9 = 36 + 108 = 144 sq cm

Tina Cole is a certified financial adviser. She purchased equipment for her office for $8,843. The trade-in value of the equipment is estimated to be $450 after 7 years of use. Using the straight-line method, what is the annual depreciation to the nearest cent?

Answers

Straight - line method allows the determination of the annual depreciation by dividing the total reduction in property value by the number of years. In the given above, The total depreciation of the value is $8,393. Dividing this value by 7 years gives $1,199/year.

Therefore, the annual depreciation is $1,199.0

Answer:

$1,199 per year.

Step-by-step explanation:

Tina Cole is a certified financial adviser.

She purchased equipment for her office costs = $8,843

After 7 years of use the trade-in value of the equipment is estimated = $450

Total depreciation in 7 years = 8,843 - 450 = $8,393

We have to calculate the annual depreciation using the straight-line method.

So we divide $8,393 by 7

$8,393 ÷ 7 = $1,199

The annual depreciation of the equipment is $1,199 per year.

Find the distance between the pair of parallel lines, y = -2x+1 & y = -2x+16.

Answers

$Given \ the \ equations \ of \ two \ non-vertical \ parallel \ lines:\n\ny = mx+b_1\ny = mx+b_2\n\nthe \ distance \ between \ them \ can \ be \ expressed \ as : \n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) )$

$y = -2x+1\ny = -2x+16 \n\n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) ) =(| 1-16|)/( √( (-2)^2+1) ) =(| -15|)/( √( 4+1) ) =(15)/(√(5))\cdot (√(5))/(√(5))=\n \n\n=(15√(5))/(5)=3√(5)\approx 3\cdot 2.24 \approx 6.72$

What is an equation of the parabola with vertex at the origin and focus (-6, 0)?