Find the base and height of the figure. find the area of the figure.

height ≈ 5.70 m

Base ≈ 13.70 m

Area = 61.845 m

Step-by-step explanation:

The figure above is a trapezium. The area of a trapezium  is given as

1/2 × (a + b) × h

a = 8m

b = ?

using the right angle triangle we can find the height and the base .

Applying SOHCAHTOA principle

sin 45° = opposite/hypotenuse

sin 45° = opposite/8

cross multiply

opposite = 8 × sin 45°

opposite = 8 ×  0.7071067812

opposite =  5.6568542495

height = 5.70 m

Base of the triangle

cos 45° = adjacent/hypotenuse

0.7071067812  = adjacent/ 8

adjacent = 8 ×  0.7071067812

adjacent =  5.6568542495

adjacent = 5. 70 m

area of trapezium = 1/2 × (a + b) × h

a = 8 m

b = 5.7 + 8 = 13.7 cm

h = 5.7 cm

area of trapezium = 1/2 × (8 + 13.7) × 5.7

area of trapezium = 1/2 × 21.7 × 5.7

area of trapezium = 1/2 × 123.69

area of trapezium = 61.845 m

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680