Which expression is equivalent to 81-16x^2

The base of a triangular prism is an isosceles right triangle with a hypotenuse of 32−−√ centimeters. The height of the prism is

Roman55 [17]

Isosceles triangle: two equal sides.
We have the following relationship:
root (32) = root (L ^ 2 + L ^ 2)
root (32) = root (2L ^ 2)
root (32) = Lraiz (2)
root (32) / root (2) = L
The surface area is:
Area of the base and top:
A1 = (1/2) * (root (32) / root (2)) * (root (32) / root (2))
A1 = (1/2) * (32/2)
A1 = (1/2) * (16)
A1 = 8
Area of the rectangles of equal sides:
A2 = (root (32) / root (2)) * (6)
A2 = 24
Rectangle area of different side:
A3 = (root (32)) * (6)
A3 = 33.9411255
The area is:
A = 2 * A1 + 2 * A2 + A3
A = 2 * (8) + 2 * (24) + (33.9411255)
A = 97.9411255
Round to the nearest tenth:
A = 97.9 cm
Answer:
The surface area of the triangular prism is:
A = 97.9 cm

3 0

4 years ago

Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defect

ad-work [718]

Answer:

a) P (0 defective component) = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) P( 0 ) = 0

p ( 1 ) = 1

p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( $\frac{x=1}{x\geq 1}$ ) = p( x = 1 ) / 1 - P ( x = 0 )

= ( 0.5 )^1 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^1

= 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 = 1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

= ( 0.5 )^2 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^2

= 0.25 / 0.75 = 0.33

5 0

3 years ago

A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.

Lady_Fox [76]

Answer:

B. 4.5 mi.

Step-by-step explanation:

Let g = length of green route

b = length of blue route

(1) 6g + 5b = 52 (2) 12g + 13b = 119

Mult. (1) by -2 -12g - 10b = -104

3b = 15

b = 5

6g + 5(5) = 52

6g + 25 = 52

6g = 27

g = 27/6 = 9/2

4 0

3 years ago

A person who weighs 120 pounds on Earth weighs 20 pounds on the Moon. How much does a 93-pound person weigh on the Moon? A perso

madam [21]

I believe the answer is
15.5
if its wrong sorry

4 0

4 years ago

Which expression is the factorization of x² + 10x + 21?

Firlakuza [10]

The answer is (x+3)(x+7)

7 0

4 years ago