Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
The last one is correct because a prism is length * width * hight
Answer:
38.28 cm = D. 38
Step-by-step explanation:
Area of the Rectangle: l x w
Length: 6 cm
With: 4 cm
Area = 4 x 6
Area of Rectangle: 24 cm
Area of the Triangle: lw(1/2)
Length: 4 cm
Width: 4 cm
Area: 4 x 4 = 16 x 1/2 = 8
Area of Triangle: 8 cm
Area of the Circle: pi x r^2 x 1/2
Radius: 2 cm
Pi: 3.14
Area: 3.14 x 2^2
Area: 3.14 x 4 = 12.56
Area of Circle: 12.56 x 1/2
Lastly, you add them all together:
24 + 8 + 6.28 = 38.28 cm
