Answer:
30
Step-by-step explanation:
Answer:
Side YZ is the longest
Step-by-step explanation:
The longest side is across from the largest angle.
Angle X must be 80° because its exterior angle is 100° and they're supplementary. Angle Z is 60° for the same reason. Inside a triangle is always 180°, and since the measures of angle Z and X add up to 140°, so there's 40° left, meaning angle X is the largest.
Angle X is across from size YZ, so that's the longest
Answer:
The answer to your question is: 53 in²
Step-by-step explanation:
Area = ?
Process: divide the shape in one rectangle and one triangle.
Area of rectangle
A = base x height
A = 8 x 6
A = 48 in²
Area of rectangle
base = 13 - 8
= 5 in
height = 6 - 4
= 2 in
Area = (b x h) / 2
= (5 x 2) / 2
= 10 / 2
= 5 in²
Total area = 48 + 5 = 53 in²
Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct
