Answer:
10 in.
Step-by-step explanation:
The area of a rhombus is the product of the lengths of the diagonals divided by 2.
Let the diagonals be x and y.
area = xy/2
Here you have
area = 40 in.^2
x = 8 in.
We are looking for y, the other diagonal.
xy/2 = area
(8 in.)y/2 = 40 in.^2
(8 in.)y = 80 in.^2
y = 10 in.
Answer: The other diagonal has length 10 in.
If a rational function is not continuous, it'll be due to one of two reasons. Either it has a hole, or it has an asymptote. Plug in -5 for x in the denominator of the rational function. What do you get? You get zero in the denominator, meaning the function is undefined at x=-5.
An angle whose measure is less than 90° is called an <span>acute angle</span>
Tan(29°) = opposite/adjacent = AC/CB ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08
sin(29°) = opposite/hypotenuse = AC/AB ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25
∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°
