Mathematics, 25.06.2019 11:40, Ezekielcassese

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answered: megan5192

25. The area of the trapezoid is 96 cm² ⇒ 2nd answer

26. The area of the kite is 40.8 feet² ⇒ 3rd answer

31. The area of the circle is 6.0025π m² ⇒ 3rd answer

Step-by-step explanation:

* Lets solve the problems

25. The figure is trapezoid

- The trapezoid has two parallel bases base 1 and base 2

- The area of the trapezoid is 1/2(base 1 + base 2) × height

- The length of base 1 is 12 cm

- The length of its height is 6 cm

- The length of the base 2 is (2 + 12 + the adjacent side to ∠45°)

- To find the missing part in the base 2 use the trigonometry

function tan 45° = opposite/adjacent

∵ tan 45° = opposite/adjacent

∵ The opposite = 6

∵ tan 45° = 1

∴ 1 = 6/adjacent ⇒ by using cross multiplication

∴ The adjacent = 6 cm

∴ The length of base 2 = 2 + 12 + 6 = 20 cm

∵ The area of the trapezoid is 1/2(base 1 + base 2) × height

∵ The length of base 1 = 12 cm

∵ The length of base 2 = 20 cm

∵ The length of its height = 6 cm

∴ The area = 1/2(12 + 20) × 6 = 1/2(32) × 6 = 16 × 6 = 96 cm²

* The area of the trapezoid is 96 cm²

26. The figure is kite

- The kite has two diagonals

- Its diagonals perpendicular to each other

- The longest diagonal bisects the shortest diagonal

- The area of the kite is 1/2(diagonal 1 × diagonal 2)

∵ The length of diagonal 1 = 10.2 feet

∵ The length of diagonal 2 = 8 feet

∵ The area of the kite = 1/2(diagonal 1 × diagonal 2)

∴ The area = 1/2(10.2 × 8) = 1/2(81.6) = 40.8 feet²

* The area of the kite is 40.8 feet²

31. The figure is a circle

- The circle has diameter

- The radius is half the diameter

- The area of the circle is π r²

∵ The length of the diameter = 4.9 m

∵ The length of the radius 1/2 the length of the diameter

∴ The length of the radius = 1/2 (4.9) = 2.45 m

∵ The area of the circle = π r²

∴ The area = π (2.45)² = 6.0025π m²

* The area of the circle is 6.0025π m²

answered: erbnichole

25) 96 cm²

26) 40.8 ft ²

31). 6.0025π m²

Step-by-step explanation:

25) To find the area of trapezoid

Area of trapezoid = h(a + b)/2

Here a = 6 + 12 + 2 = 20 cm

b = 12 cm and h = 6

Area = h(a + b)/2

= 6(20 + 12)/2

= 96 cm²

26) To find the area of kite

Area of kite = pq/2

Where p and q are the two diagonals

Here p = 10.2 ft and q = 8 ft

Area = pq/2

= (10.2 * 8)/2 = 40.8 ft²

31) To find the area of circle

Area of circle = πr²

Here r = 4.9/2 = 2.45 m

Area = πr²

= π *(2.45)²

= 6.0025π m²

answered: Guest

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.

answered: Guest

l.jnl.j/n.m,lm,

step-by-step explanation:

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