Answer:
72 cm
Step-by-step explanation:
You can solve this problem using the properties of the 45-45-90 right triangle. Assuming the 12 cm is a diagonal of the square, each side of the square can be modeled as x, and the diagonal will be x
.
This means 
, so 
.
Next, to find the area of the square you take the square of any of its sides. Since x is the length of one side, and , you can square 
to get the area. This is equal to 
or 72 cm.
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
Answer: 62+63+64
Step-by-step explanation:
Divide 189 by 2. That gives you 63. Then go for a number 1 above it and 1 below it.
Answer:
48.
Step-by-step explanation:
Let's write a simple equation. Let x = other number, then
5/12 * x = 20
x = 20 / 5/12
x = 20 * 12 / 5
x = 4 * 12 = 48 (answer)
