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2 years ago

Q

Mathematics

1 answer:

Luda [366]2 years ago

3 0

Answer:

x = 10

Step-by-step explanation:

Q is the midpoint of PR: PQ = QR

4x + 5 = 2x + 25

2x = 20

x = 10

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Each side of a quilt square measures approximately 4.25 inches. If there are about 2.54 centimeters in 1 inch, how long is each

Gelneren [198K]

Answer:

Each side of the square in centimetres = 10.80 centimetres

Step-by-step explanation:

To convert from one unit to another or in between units we make use of conversion factors or conversion formulas

The conversion factor for the conversion of units in centimetres to units in inches is given as about 2.54 centimetres being equivalent to 1 inch

Therefore;

1 inch = 2.54 centimetres

4.25 inches = 2.54 × 4.25 = 10.795 ≈ 10.80 centimetres

Therefore, each side of the square in centimetres = 10.80 centimetres.

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3 years ago

PLEASE HELP !

kirza4 [7]

Answer:

331.52 oz

Step-by-step explanation:

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2 years ago

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Find the perimeter and the area of the polygon with the vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

Irina-Kira [14]

Answer:

a) The perimeter of the rectangle =

= 22 units

b) The area of the rectangle

= 30 square units

Step-by-step explanation:

We solve the above question using the formula

= √(x2 - x1)² + (y2 - y1)²

When we are given vertices (x1, y1) and (x2, y2)

The vertices: (-1, -2), (-6, -2), (-6, -8), (-1, -8)

We have to find the length of the sides

Side A

(-1, -2), (-6, -2)

= √(-6 - (-1))² +( -2 -(-2))²

= √-5² + 0²

= √25

= 5 units

Side B

(-6, -2), (-6, -8)

= √(-6 - (-6))² + (-8 - (-2))²

= √(-6 +6)² + (-8 +2)²

= √0² + -6²

= √36

= 6 units

Side C

(-6, -8), (-1, -8)

= √(-1 - (-6))² +(-8 - (-8))²

= √(-1 + 6)² + (-8 + 8)²

=√ 5² + 0²

= √25

= 5 units

Side D

(-1, -2), (-1, -8)

= √(-1 -(-1))² + (-8 - (-2))²

= √(-1 + 1)² + ( -8 + 2)²

= √0 + -6²

= √0 + 36

= √36

= 6 units

From the above calculation,

Side A = Side C = 5 units

Side B = Side D = 6 units

Hence, this polygon is a quadrilateral called the RECTANGLE.

Therefore:

a) The perimeter of the rectangle =

2L + 2W

= 2(5) + 2(6)

= 10 units + 12 units

= 22 units

b) The area of the rectangle

= Length × Width

= 5 units × 6 units

= 30 square units

4 0

3 years ago

The price of a stereo was

nikdorinn [45]

Answer:

25%

Step-by-step explanation:

price remixed = 300-225=75$

discount % = (75/300)*100 = 25%

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2 years ago

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The plan for the Thorne’s backyard play area, shaped like a trapezoid, is shown. The area of the play area is 286.56 square feet

lorasvet [3.4K]

The length of material needed for the border is the perimeter of the backyard play area

<h3>How to calculate the length of material needed </h3>

The area of the play area is given as:

$Area = 286.56$

The area of a trapezoid is calculated using:

$Area = 0.5 * (L1 + L2) * H$

Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.

The given parameter is not enough to solve the length of material needed.

So, we make use of the following assumed values.

Assume that the parallel sides are: 25 feet and 31 feet long, respectively.

While the other sides are 10.2 feet and 8.2 feet

The length of material needed would be the sum of the above lengths.

So, we have:

$Length = 25 + 31 + 10.2 + 8.2$

$Length = 74.4$

Using the assumed values, the length of material needed for the border is 74.4 feet